
Time bar (total: 12.7s)
| 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)
| 1.2s | 8 256× | 0 | valid |
const: 455.0ms (49.1% of total)ival-mult: 152.0ms (16.4% of total)ival-div: 106.0ms (11.4% of total)ival-exp: 92.0ms (9.9% of total)ival-sub: 67.0ms (7.2% of total)ival-add: 47.0ms (5.1% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 30 | 0 | - | 1 | (2.2928697615832708e-299 -1.7682216873827454e-13 -3.1569243572943073e+75) | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
| 9 | 0 | - | 0 | - | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) |
| 0 | 0 | - | 0 | - | #s(literal 5641895835477563/5000000000000000 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (exp.f64 z) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | nan-rescue | 9 | 0 |
| ↳ | (exp.f64 z) | overflow | 65 | |
| ↳ | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | overflow | 65 | |
| ↳ | (*.f64 x y) | overflow | 37 | |
/.f64 | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) | n/u | 5 | 0 |
| ↳ | (exp.f64 z) | underflow | 65 | |
| ↳ | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | underflow | 65 | |
| ↳ | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | underflow | 5 | |
| ↳ | (*.f64 x y) | underflow | 22 | |
/.f64 | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) | n/o | 1 | 0 |
| ↳ | (exp.f64 z) | overflow | 65 | |
| ↳ | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | overflow | 65 | |
| ↳ | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | overflow | 89 | |
| ↳ | (*.f64 x y) | overflow | 37 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 14 | 1 |
| - | 1 | 240 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 14 | 0 | 1 |
| - | 1 | 0 | 240 |
| number | freq |
|---|---|
| 0 | 241 |
| 1 | 15 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 49.0ms | 512× | 0 | valid |
Compiled 105 to 34 computations (67.6% saved)
const: 8.0ms (26.9% of total)ival-mult: 7.0ms (23.5% of total)ival-div: 6.0ms (20.1% of total)ival-exp: 4.0ms (13.4% of total)ival-sub: 2.0ms (6.7% of total)ival-add: 2.0ms (6.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 304× | lower-fma.f64 |
| 304× | lower-fma.f32 |
| 256× | distribute-lft-neg-in |
| 240× | sub-neg |
| 214× | cancel-sign-sub-inv |
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 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) |
Compiled 15 to 10 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.4% | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
Compiled 15 to 10 computations (33.3% 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)))) |
| 304× | lower-fma.f64 |
| 304× | lower-fma.f32 |
| 192× | lower-*.f32 |
| 188× | lower-*.f64 |
| 88× | lower-+.f32 |
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 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
(neg.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.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) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | |
| accuracy | 0.0078125 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) | |
| accuracy | 1.80859375 | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | |
| accuracy | 7.03643983188724 | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
| 37.0ms | 256× | 0 | valid |
Compiled 45 to 12 computations (73.3% saved)
ival-mult: 14.0ms (49.1% of total)ival-div: 5.0ms (17.5% of total)const: 4.0ms (14% of total)ival-exp: 2.0ms (7% of total)ival-sub: 1.0ms (3.5% of total)ival-add: 1.0ms (3.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 5000000000000000/5641895835477563 (/ y (exp z))) (taylor 0 x) (#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 (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) (taylor 0 x) (#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 (+ (* 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)))))) (taylor 0 x) (#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 (+ (* 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)))))) (taylor 0 x) (#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 (taylor inf x) (#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 (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#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 (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) (taylor inf x) (#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 (- (+ 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))))) (taylor inf x) (#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 (taylor -inf x) (#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 (* -1 (* x (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) (taylor -inf x) (#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 (* -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))) (taylor -inf x) (#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 (taylor 0 y) (#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 (* 5000000000000000/5641895835477563 (/ y (exp z)))) (taylor 0 y) (#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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) (taylor 0 y) (#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 (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) (taylor 0 y) (#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 (/ 1 x)) (taylor inf y) (#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 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) (taylor inf y) (#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 (* 5641895835477563/5000000000000000 (exp z)) (taylor inf 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 (exp z)) (taylor -inf 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 (exp z)) (taylor -inf 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 (exp z)) (taylor -inf 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 (exp z)) (taylor -inf z) (#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation binary64>) () ())) ()) |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1.0ms | y | @ | inf | (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1.0ms | z | @ | 0 | (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1.0ms | x | @ | 0 | (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1.0ms | z | @ | -inf | (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1× | egg-herbie |
| 8 530× | lower-fma.f64 |
| 8 530× | lower-fma.f32 |
| 5 230× | lower-*.f64 |
| 5 230× | lower-*.f32 |
| 2 854× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 303 | 1957 |
| 1 | 865 | 1937 |
| 2 | 2563 | 1849 |
| 0 | 8206 | 1764 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
x |
(+ 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)))))) |
(- 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)))) |
(- 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)) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (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)))) |
(+ 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)))) |
(* 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))))) |
(/ -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) |
(- (* -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)) |
(/ 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)))) |
(/ 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))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(/ -1 x) |
(* -1 (/ (+ 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)) |
(- 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 (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)) (* x y)) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* 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))) |
(* -1 (* x y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* -1 (* x y)) |
(* -1 (* x (- (* -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)))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(* -1 (* x y)) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) 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)))) |
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)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
| Outputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z)))) x) |
(+ (* 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)))))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))) (fma.f64 x (fma.f64 x (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))) x)) |
(+ (* 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)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z)))))) #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z)))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(+.f64 x (/.f64 x (*.f64 x (neg.f64 x)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(fma.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(* 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))))) |
(fma.f64 x (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
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(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
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(fma.f64 z (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (neg.f64 (*.f64 (fma.f64 z (fma.f64 (*.f64 (/.f64 y (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/10000000000000000 binary64))) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (/.f64 y (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/30000000000000000 binary64)))) (*.f64 (/.f64 y (*.f64 (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/10000000000000000 binary64)))) z))) (/.f64 y (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(*.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z 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)))))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 y (exp.f64 (neg.f64 z))) (*.f64 x (fma.f64 x (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))))) |
(+ (* 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)))))) |
(fma.f64 x (*.f64 x (fma.f64 x (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z))))))) (*.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z)))))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64))) 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) |
(/.f64 (fma.f64 (exp.f64 (+.f64 z (+.f64 z z))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)))) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #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 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y 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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) (fma.f64 (exp.f64 (+.f64 z (+.f64 z z))) (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 y (*.f64 y x))))) (/.f64 (*.f64 (exp.f64 (+.f64 z z)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x))))) x)) x) |
(- 5641895835477563/5000000000000000 (* x y)) |
(fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 y (neg.f64 x) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(*.f64 x (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) (neg.f64 y))) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(*.f64 x (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) (neg.f64 y))) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(*.f64 x (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) x) (neg.f64 y))) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(neg.f64 (*.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(neg.f64 (*.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(neg.f64 (*.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x) y))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x))) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x))) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x))) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x))) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x))) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(*.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x))) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
| 5 764× | lower-fma.f64 |
| 5 764× | lower-fma.f32 |
| 4 434× | lower-*.f32 |
| 4 430× | lower-*.f64 |
| 3 236× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 0 | 16 | 34 |
| 1 | 57 | 34 |
| 2 | 451 | 34 |
| 3 | 7444 | 34 |
| 0 | 8118 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Outputs |
|---|
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))) (fma.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))) (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 6 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))) (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 x (*.f64 x (*.f64 y y)))) (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 4 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 x (*.f64 x (*.f64 y y))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))) |
(*.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))))) |
(*.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))))) |
(*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) (*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
(*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) |
(*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) |
(*.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (*.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) |
(*.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))))) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
(*.f64 (/.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (+.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) (-.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)))) (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (-.f64 (pow.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
Compiled 13 565 to 1 116 computations (91.8% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 377 | 10 | 387 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 378 | 10 | 388 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.6% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
| ▶ | 81.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| 83.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| ▶ | 83.0% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| 81.3% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) | |
| ▶ | 68.0% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))) |
| ▶ | 70.0% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| 64.6% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)) | |
| 64.9% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))) | |
| 14.3% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
Compiled 282 to 174 computations (38.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| cost-diff | 0 | (*.f64 y (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))) | |
| cost-diff | 0 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 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 | (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) | |
| cost-diff | 0 | (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
| 1 172× | lower-fma.f32 |
| 1 160× | lower-fma.f64 |
| 586× | lower-*.f32 |
| 580× | lower-*.f64 |
| 404× | lower-+.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 300 |
| 0 | 66 | 300 |
| 1 | 113 | 300 |
| 2 | 175 | 300 |
| 3 | 253 | 299 |
| 4 | 329 | 299 |
| 5 | 406 | 299 |
| 6 | 562 | 299 |
| 7 | 787 | 299 |
| 8 | 1032 | 299 |
| 9 | 1464 | 299 |
| 10 | 1933 | 299 |
| 11 | 2048 | 299 |
| 12 | 2104 | 299 |
| 13 | 2163 | 299 |
| 14 | 2167 | 299 |
| 15 | 2168 | 299 |
| 0 | 2168 | 299 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) |
#s(literal -1 binary64) |
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) |
x |
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 y (neg.f64 x))))) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))) |
(*.f64 y (neg.f64 x)) |
(neg.f64 x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
#s(literal 5641895835477563/30000000000000000 binary64) |
#s(literal 5641895835477563/10000000000000000 binary64) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) |
#s(literal -1 binary64) |
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)) |
x |
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 y (neg.f64 x))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (neg.f64 (*.f64 x y))))) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))) |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (neg.f64 (*.f64 x y)))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (neg.f64 (*.f64 x y))) |
(*.f64 y (neg.f64 x)) |
(neg.f64 (*.f64 x y)) |
(neg.f64 x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
#s(literal 5641895835477563/30000000000000000 binary64) |
#s(literal 5641895835477563/10000000000000000 binary64) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 1.80859375 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| accuracy | 7.03643983188724 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| accuracy | 21.161592006649627 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0.08203125 | (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 1.80859375 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| accuracy | 7.03643983188724 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| accuracy | 31.59639609681544 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.0078125 | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))) | |
| accuracy | 7.03643983188724 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))) | |
| accuracy | 29.691660356412854 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.0078125 | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 30.377681379395955 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.00390625 | (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0.5701819079011482 | (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| accuracy | 1.5162962551272687 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
| 67.0ms | 256× | 0 | valid |
Compiled 226 to 32 computations (85.8% saved)
const: 16.0ms (33.4% of total)ival-mult: 14.0ms (29.2% of total)ival-add: 7.0ms (14.6% of total)ival-div: 5.0ms (10.4% of total)ival-exp: 3.0ms (6.3% of total)ival-sub: 1.0ms (2.1% of total)ival-neg: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (patch (fma.f64 x y (*.f64 (exp.f64 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 (+.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 y (neg.f64 x))))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))) #<representation binary64>) () ()) |
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (neg.f64 x)) (patch (*.f64 y (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (patch (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (patch (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 5000000000000000/5641895835477563 (/ y (exp z))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -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))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ 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)))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ 1 x)) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))))) (/ 1 x)) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))))) (/ 1 x)) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ 1 x)) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x)) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 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)) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000))))))))))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt 5641895835477563/5000000000000000 (taylor 0 z) (#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (taylor 0 z) (#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (taylor 0 z) (#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (taylor 0 z) (#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5641895835477563/5000000000000000 z) (taylor inf z) (#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5641895835477563/5000000000000000 z) (taylor -inf z) (#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) (taylor -inf z) (#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) (taylor -inf z) (#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) (taylor -inf z) (#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 5641895835477563/5000000000000000 (taylor 0 z) (#s(alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) (taylor 0 z) (#s(alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) (taylor 0 z) (#s(alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) (taylor 0 z) (#s(alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5641895835477563/30000000000000000 (pow z 2)) (taylor inf z) (#s(alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) (taylor inf z) (#s(alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) (taylor inf z) (#s(alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5641895835477563/30000000000000000 (pow z 2)) (taylor -inf z) (#s(alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) (taylor -inf z) (#s(alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) (taylor -inf z) (#s(alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) (taylor -inf z) (#s(alt (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ())) ()) |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) |
| 3.0ms | x | @ | 0 | (* y (neg x)) |
| 2.0ms | x | @ | 0 | (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) |
| 1.0ms | z | @ | inf | (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) |
| 1.0ms | z | @ | -inf | (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) |
| 1× | egg-herbie |
| 7 570× | lower-fma.f64 |
| 7 570× | lower-fma.f32 |
| 5 226× | lower-*.f64 |
| 5 226× | lower-*.f32 |
| 2 762× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 544 | 9690 |
| 1 | 1595 | 9487 |
| 2 | 4722 | 9302 |
| 0 | 8556 | 8724 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))))) (/ 1 (pow x 2)))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
x |
(+ 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)))))) |
(- 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)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))))) (/ 1 x)) |
(- x (/ 1 x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) |
(- (+ x (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) 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)) |
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))) |
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))))) |
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000))))))))))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(/ 5000000000000000/5641895835477563 (exp z)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 2)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 3)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(/ -1 (* x y)) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 4)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (/ 1 y)))) x) |
(/ -1 (* x y)) |
(* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 3)))) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 4)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 3)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x)) |
(/ 5000000000000000/5641895835477563 (exp z)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* 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 (- (* 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)))) |
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(* -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)))) |
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)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(* 5641895835477563/5000000000000000 z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5641895835477563/5000000000000000 z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) |
(* 5641895835477563/30000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* 5641895835477563/30000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
| Outputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (exp.f64 (neg.f64 z)) y) (fma.f64 x (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (exp.f64 (+.f64 z z))) x)) |
(+ (* 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))))))) |
(fma.f64 x (fma.f64 x (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) (exp.f64 (+.f64 z (+.f64 z z)))) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) |
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) (exp.f64 (+.f64 z (+.f64 z z))))) (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(fma.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(* 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)))) |
(fma.f64 x (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(fma.f64 x (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(fma.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y (*.f64 y x))) (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) y)) (*.f64 x (*.f64 x x)))) x) |
x |
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x) |
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (exp.f64 (+.f64 z z)))) x) |
(+ 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)))))) |
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (*.f64 y (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 x x)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))))) x) |
(- x (/ 1 x)) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) |
(+.f64 x (/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)) x)) |
(- (+ x (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))))) (/ 1 x)) |
(+.f64 x (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 x (*.f64 y (*.f64 y x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64))) x)) |
(- (+ x (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))))) (/ 1 x)) |
(+.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z (+.f64 z z))) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) x) (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 x (*.f64 y (*.f64 y x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64))) x)) |
(- x (/ 1 x)) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) |
(+.f64 x (/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)) x)) |
(- (+ x (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x)) |
(+.f64 x (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 x (*.f64 y (*.f64 y x)))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64))) 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)) |
(+.f64 (/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (exp.f64 (+.f64 z (+.f64 z z))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) y)) y) (+.f64 x (/.f64 #s(literal -1 binary64) x))) |
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))) |
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))) |
(fma.f64 y (/.f64 (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))))) |
(fma.f64 z (fma.f64 z (fma.f64 (/.f64 y (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 (*.f64 y #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000))))))))))))) |
(fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 (/.f64 y (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 (*.f64 y #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))))) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) (fma.f64 (/.f64 y (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal -5641895835477563/30000000000000000 binary64) (/.f64 (*.f64 y #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64)) (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))))) (fma.f64 (/.f64 y (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 (*.f64 y #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))))) (/.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(-.f64 x (/.f64 y (fma.f64 y x (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(-.f64 x (/.f64 y (fma.f64 y x (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(-.f64 x (/.f64 y (fma.f64 y x (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(-.f64 x (/.f64 y (fma.f64 y x (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(-.f64 x (/.f64 y (fma.f64 y x (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(-.f64 x (/.f64 y (fma.f64 y x (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(-.f64 x (/.f64 y (fma.f64 y x (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(-.f64 x (/.f64 y (fma.f64 y x (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(/ 5000000000000000/5641895835477563 (exp z)) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))) (exp.f64 (+.f64 z z)))) |
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(*.f64 y (neg.f64 x)) |
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(*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(*.f64 y (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(*.f64 y (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(*.f64 y (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(*.f64 y (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(*.f64 y (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(*.f64 y (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) y) x)) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 z) |
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/5000000000000000 z) |
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/30000000000000000 (pow z 2)) |
(*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z)) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))) |
(* 5641895835477563/30000000000000000 (pow z 2)) |
(*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z)) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))) |
(* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (+.f64 (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z))))) |
| 5 330× | lower-fma.f32 |
| 5 318× | lower-fma.f64 |
| 4 998× | lower-/.f32 |
| 4 988× | lower-/.f64 |
| 4 662× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 259 |
| 0 | 66 | 259 |
| 1 | 293 | 259 |
| 2 | 2312 | 259 |
| 0 | 9573 | 259 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) |
(fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) |
(*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) |
(+.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 y (neg.f64 x))))) |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x)))) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))) |
(*.f64 y (neg.f64 x)) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(neg.f64 x) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| Outputs |
|---|
(+.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) |
(+.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (/.f64 (*.f64 (*.f64 y y) (pow.f64 (neg.f64 (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -2 binary64))) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) y) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) |
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) y x) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) (/.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (fma.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))) x) |
(fma.f64 (/.f64 (neg.f64 y) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))))) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (-.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)) (*.f64 x (*.f64 y (*.f64 x y)))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -1 binary64) x) |
(fma.f64 (/.f64 y (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
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(/.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/27000000000000000000000000000000000000000000000000 binary64)) (*.f64 z (*.f64 z z)) (pow.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z)) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z)) (-.f64 (*.f64 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 3 binary64)) (*.f64 #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) (*.f64 z (*.f64 z z)))) (fma.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) (-.f64 (*.f64 (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z z)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z z))) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z z))) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z z)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) (*.f64 z z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) |
Compiled 27 713 to 1 921 computations (93.1% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 027 | 16 | 1 043 |
| Fresh | 3 | 2 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 032 | 21 | 1 053 |
| Status | Accuracy | Program |
|---|---|---|
| 47.2% | (fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) | |
| 84.5% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) | |
| ▶ | 84.9% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
| 83.0% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) | |
| 81.3% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) | |
| 64.6% | (fma.f64 #s(approx (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))) y x) | |
| 38.8% | (/.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (*.f64 x x)) (-.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)) | |
| ▶ | 64.6% | (+.f64 x (/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
| ✓ | 81.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| 83.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| 81.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (+.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| 81.2% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| ✓ | 83.0% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| 82.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) (*.f64 x y)))) | |
| ▶ | 65.8% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
| ▶ | 83.1% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y))) |
| ✓ | 70.0% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| 64.7% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)) | |
| ▶ | 81.3% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
| 14.3% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) | |
| 64.9% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))) |
Compiled 831 to 424 computations (49% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) | |
| cost-diff | 0 | (/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y))) | |
| cost-diff | 320 | (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y) | |
| cost-diff | 384 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y)) | |
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) | |
| cost-diff | 0 | (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) | |
| cost-diff | 0 | (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| cost-diff | 0 | #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
| 4 144× | lower-fma.f32 |
| 4 130× | lower-fma.f64 |
| 2 668× | lower-*.f32 |
| 2 658× | lower-*.f64 |
| 1 438× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 578 |
| 0 | 81 | 578 |
| 1 | 139 | 577 |
| 2 | 224 | 572 |
| 3 | 396 | 569 |
| 4 | 971 | 569 |
| 5 | 2246 | 569 |
| 6 | 3681 | 569 |
| 7 | 6388 | 569 |
| 0 | 8058 | 568 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(literal -1 binary64) |
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) |
x |
y |
#s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) |
z |
(fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) |
#s(literal -5641895835477563/10000000000000000 binary64) |
#s(literal -5641895835477563/5000000000000000 binary64) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) |
x |
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) |
y |
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) |
#s(literal -5641895835477563/5000000000000000 binary64) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
y |
(+.f64 x (/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
x |
(/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))) |
y |
(-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(*.f64 y (*.f64 x y)) |
(*.f64 x y) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(-.f64 x (/.f64 y (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(literal -1 binary64) |
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) |
x |
y |
#s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) |
z |
(fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) |
#s(literal -5641895835477563/10000000000000000 binary64) |
#s(literal -5641895835477563/5000000000000000 binary64) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) |
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
x |
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) |
(/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))) |
y |
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) |
(fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)) |
#s(literal -5641895835477563/5000000000000000 binary64) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y)) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y) |
(-.f64 (/.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) y) x) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
y |
(+.f64 x (/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
(+.f64 x (/.f64 y (fma.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
x |
(/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))) |
(/.f64 y (fma.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))) |
y |
(-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(fma.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (/.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(*.f64 y (*.f64 x y)) |
(*.f64 x y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.591201011641003 | (*.f64 x (*.f64 y (*.f64 x y))) | |
| accuracy | 7.03643983188724 | (/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))) | |
| accuracy | 16.21864715189062 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 16.602430564024402 | (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| accuracy | 0.05859375 | (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.0859375 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y)) | |
| accuracy | 6.9779965056742315 | (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y) | |
| accuracy | 16.21864715189062 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0.1484375 | (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 7.03643983188724 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) | |
| accuracy | 16.218647151890615 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| accuracy | 30.435937025273688 | #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0.0078125 | (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| accuracy | 5.84392590046512 | (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) | |
| accuracy | 6.457315194831805 | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| accuracy | 0.0625 | (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.5701819079011482 | (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| accuracy | 1.5162962551272687 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) | |
| accuracy | 16.171854322113013 | #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) |
| 86.0ms | 191× | 0 | valid |
| 38.0ms | 65× | 0 | exit |
Compiled 396 to 43 computations (89.1% saved)
ival-add: 33.0ms (33.2% of total)ival-div: 29.0ms (29.2% of total)ival-mult: 17.0ms (17.1% of total)const: 13.0ms (13.1% of total)ival-sub: 3.0ms (3% of total)ival-exp: 2.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation binary64>) () ()) |
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#s(alt (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (patch (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) (patch #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (patch #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) (patch (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) (patch (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) #<representation binary64>) () ()) |
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#s(alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y)) #<representation binary64>) () ()) |
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#s(alt (+.f64 x (/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))) (patch (+.f64 x (/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))) (patch (/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) (patch (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (patch (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) (patch (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (patch (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 5000000000000000/5641895835477563 (/ y (exp z))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -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))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) (taylor 0 z) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (taylor inf z) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (taylor inf z) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (taylor inf z) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (taylor inf z) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (taylor -inf z) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (taylor -inf z) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (taylor -inf z) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (taylor -inf z) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 5641895835477563/5000000000000000 (exp z)) (taylor 0 x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) (taylor 0 x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) (taylor 0 x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) (taylor 0 x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) (taylor inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) (taylor inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) (taylor inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 5641895835477563/5000000000000000 (exp z)) (taylor 0 y) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) (taylor 0 y) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) (taylor 0 y) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) (taylor 0 y) (#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf x) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf x) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf x) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf x) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor inf y) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf y) (#s(alt (*.f64 x (*.f64 y (*.f64 x y))) (patch (*.f64 x (*.f64 y (*.f64 x y))) #<representation binary64>) () ())) ()) |
189 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | z | @ | -inf | (+ x (/ y (- (/ (* (* 5641895835477563/5000000000000000 (exp z)) (* 5641895835477563/5000000000000000 (exp z))) (+ (* x y) (* 5641895835477563/5000000000000000 (exp z)))) (/ (* x (* y (* x y))) (+ (* x y) (* 5641895835477563/5000000000000000 (exp z))))))) |
| 6.0ms | z | @ | inf | (+ x (/ y (- (/ (* (* 5641895835477563/5000000000000000 (exp z)) (* 5641895835477563/5000000000000000 (exp z))) (+ (* x y) (* 5641895835477563/5000000000000000 (exp z)))) (/ (* x (* y (* x y))) (+ (* x y) (* 5641895835477563/5000000000000000 (exp z))))))) |
| 4.0ms | z | @ | 0 | (+ x (/ y (- (/ (* (* 5641895835477563/5000000000000000 (exp z)) (* 5641895835477563/5000000000000000 (exp z))) (+ (* x y) (* 5641895835477563/5000000000000000 (exp z)))) (/ (* x (* y (* x y))) (+ (* x y) (* 5641895835477563/5000000000000000 (exp z))))))) |
| 3.0ms | y | @ | 0 | (/ y (- (/ (* (* 5641895835477563/5000000000000000 (exp z)) (* 5641895835477563/5000000000000000 (exp z))) (+ (* x y) (* 5641895835477563/5000000000000000 (exp z)))) (/ (* x (* y (* x y))) (+ (* x y) (* 5641895835477563/5000000000000000 (exp z)))))) |
| 2.0ms | z | @ | -inf | (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)) |
| 1× | egg-herbie |
| 8 298× | lower-fma.f64 |
| 8 298× | lower-fma.f32 |
| 6 836× | lower-*.f64 |
| 6 836× | lower-*.f32 |
| 5 168× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1387 | 16136 |
| 1 | 4339 | 15814 |
| 0 | 9001 | 14735 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))))) (/ 1 (pow x 2)))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
x |
(+ 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)))))) |
(- 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)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))))) (/ 1 x)) |
(- x (/ 1 x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) |
(- (+ x (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) 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)) |
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))) |
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))))) |
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000))))))))))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(/ 5000000000000000/5641895835477563 (exp z)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 2)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 3)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ y (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(/ -1 (* x y)) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 4)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 3)))) (/ 1 y)))) x) |
(/ -1 (* x y)) |
(* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x (pow y 2)))) (/ 1 y)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 3)))) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 4)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 3)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow y 2)))) x)) (/ 1 y)) x)) |
(/ 5000000000000000/5641895835477563 (exp z)) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))) |
(+ (* 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 (- (* 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)))) |
(/ -1 (* x y)) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)) y) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) y) |
(/ (- (* -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)))) y) |
(/ -1 (* x y)) |
(* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) y)) |
(* -1 (/ (+ (* -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)) y)) |
(/ -1 (- (* x y) 5641895835477563/5000000000000000)) |
(- (* -5641895835477563/5000000000000000 (/ z (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(- (* z (- (* -1 (* z (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(- (* z (- (* z (- (* -1 (* z (+ (* 5641895835477563/30000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (+ (* 31830988618379068626528276418969/50000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))) (- (* x y) 5641895835477563/5000000000000000))))))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 3)))))) (* 5641895835477563/5000000000000000 (/ 1 (pow (- (* x y) 5641895835477563/5000000000000000) 2))))) (/ 1 (- (* x y) 5641895835477563/5000000000000000))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ -1 (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))) |
(* -5641895835477563/5000000000000000 (exp z)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* x y) |
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -5641895835477563/5000000000000000 (exp z)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* x y) |
(* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))) |
(* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))) |
(* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))) |
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))) |
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))) |
(- (* x y) 5641895835477563/5000000000000000) |
(- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000) |
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
(- (+ (* x y) (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
(+ (* -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)) (* x y)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
-5641895835477563/5000000000000000 |
(- (* -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) |
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(+ x (+ (* -1 (/ (* y (* z (+ (* 5641895835477563/5000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))))))) (pow (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) 2))) (/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y))))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -1 (/ (* y (pow (+ (* 5641895835477563/5000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))))) 2)) (pow (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) 3))) (/ (* y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 3))) (+ (* 5641895835477563/10000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 5641895835477563/5000000000000000 (/ (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))) (+ 5641895835477563/5000000000000000 (* x y)))))))))) (pow (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) 2))))) (/ (* y (+ (* 5641895835477563/5000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))))))) (pow (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) 2)))) (/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y))))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* y (* (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 3))) (+ (* 5641895835477563/10000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 5641895835477563/5000000000000000 (/ (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))) (+ 5641895835477563/5000000000000000 (* x y))))))))) (+ (* 5641895835477563/5000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))))))) (pow (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* y (pow (+ (* 5641895835477563/5000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))))) 2)) (pow (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) 3))) (/ (* y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 3))) (+ (* 5641895835477563/10000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 5641895835477563/5000000000000000 (/ (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))) (+ 5641895835477563/5000000000000000 (* x y)))))))))) (pow (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) 2))) (+ (* 5641895835477563/5000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))))))) (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))))) (/ (* y (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))) (+ 5641895835477563/5000000000000000 (* x y)))) (+ (* 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(/ (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))) (+ 5641895835477563/5000000000000000 (* x y)))))) (+ 5641895835477563/5000000000000000 (* x y)))))))))))) (pow (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) 2)))))) (+ (* -1 (/ (* y (pow (+ (* 5641895835477563/5000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))))) 2)) (pow (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) 3))) (/ (* y (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 3))) (+ (* 5641895835477563/10000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (+ (* 5641895835477563/10000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 5641895835477563/5000000000000000 (/ (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))) (+ 5641895835477563/5000000000000000 (* x y)))))))))) (pow (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) 2))))) (/ (* y (+ (* 5641895835477563/5000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))))))) (pow (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) 2)))) (/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y))))))) |
(+ x (/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))))) |
(+ x (/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))))) |
(+ x (/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))))) |
(+ x (/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))))) |
(+ x (/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))))) |
(+ x (/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))))) |
(+ x (/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))))) |
(+ x (/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
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(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (pow x 3) (pow (exp z) 4))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow x 3) (pow (exp z) 2))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow x 3) (pow (exp z) 2)))) (pow (exp z) 2)))))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(/ -1 x) |
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(/ -1 x) |
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(+ (* -1 (/ (* y (* z (+ (* 5641895835477563/5000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))))))) (pow (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) 2))) (/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))))) |
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(/ (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))) (+ 5641895835477563/5000000000000000 (* x y)))))) (+ 5641895835477563/5000000000000000 (* x y)))))))))))) (pow (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) 2)))))) (+ (* -1 (/ (* y (pow (+ (* 5641895835477563/5000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))))) 2)) (pow (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* 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2)) (+ 5641895835477563/5000000000000000 (* x y)))) 2))))) (/ (* y (+ (* 5641895835477563/5000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (- (* 2 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (* 5641895835477563/5000000000000000 (/ 1 (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))))))) (pow (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) 2)))) (/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (+ 5641895835477563/5000000000000000 (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))))) |
(/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(/ y (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* -1 (* x (+ (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (pow y 4) (pow (exp z) 4))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 3) (pow (exp z) 2))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 3) (pow (exp z) 2))))) (pow (exp z) 2)))))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2))) (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) (pow x 2))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (pow y 3))) (+ (* 5641895835477563/5000000000000000 (/ (* (exp z) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) y)))) (pow y 2))) (+ (* 5641895835477563/5000000000000000 (/ (* (exp z) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2))) (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2))))) y)) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (pow y 3)))))) (pow x 3))) (+ 1 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 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)))) (+ (* -5641895835477563/5000000000000000 (/ (* (exp z) (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2))))) (* x y))) (+ (* -5641895835477563/5000000000000000 (/ (* (exp z) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) y)))) (* x (pow y 2)))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3))))))) (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2))))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
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(* 5641895835477563/5000000000000000 (exp z)) |
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(* 5641895835477563/5000000000000000 (exp z)) |
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(* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) x)) (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (pow x 2))) (* -1 (/ (+ (* -1013211836423377808197068612118338110498536634308026710423022961/625000000000000000000000000000000000000000000000000000000000000 (/ (pow (exp z) 4) (pow x 3))) (* 5716435640373629036936327838135698990352533513761386655294448491685017549324043/3125000000000000000000000000000000000000000000000000000000000000000000000000000 (/ (pow (exp z) 5) (* (pow x 4) y)))) y))) y))) y)) |
-5641895835477563/5000000000000000 |
(- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) |
(- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) |
(- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) |
(* -5641895835477563/10000000000000000 z) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* -5641895835477563/10000000000000000 z) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(* 5641895835477563/5000000000000000 z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5641895835477563/5000000000000000 z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5641895835477563/5000000000000000 z) |
(* 5641895835477563/5000000000000000 z) |
(* 5641895835477563/5000000000000000 z) |
(* 5641895835477563/5000000000000000 z) |
(* 5641895835477563/5000000000000000 z) |
(* 5641895835477563/5000000000000000 z) |
(* 5641895835477563/5000000000000000 z) |
(* 5641895835477563/5000000000000000 z) |
(* 5641895835477563/5000000000000000 z) |
(* 5641895835477563/5000000000000000 z) |
(* 5641895835477563/5000000000000000 z) |
(* 5641895835477563/5000000000000000 z) |
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)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(* 5641895835477563/5000000000000000 z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5641895835477563/5000000000000000 z) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5000000000000000/5641895835477563 (/ (* (pow x 2) (pow y 2)) (exp z))) |
(* (pow x 2) (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 3)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ (pow y 2) (exp z))))) |
(* (pow x 2) (+ (* 5000000000000000/5641895835477563 (/ (pow y 2) (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 4)) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 3) (pow (exp z) 2))))))) |
(* (pow x 2) (+ (* 5000000000000000/5641895835477563 (/ (pow y 2) (exp z))) (* x (- (* x (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 5)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 4) (pow (exp z) 3))))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 3) (pow (exp z) 2))))))) |
(* x y) |
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (- (+ y (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) y)))) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (- (+ y (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 2))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) y))) (* 5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x y))) (* 5641895835477563/5000000000000000 (exp z))) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 2)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) y))) x)) (* 5641895835477563/5000000000000000 (exp z))) x))))) |
(* 5000000000000000/5641895835477563 (/ (* (pow x 2) (pow y 2)) (exp z))) |
(* (pow y 2) (+ (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (* (pow x 3) y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ (pow x 2) (exp z))))) |
(* (pow y 2) (+ (* 5000000000000000/5641895835477563 (/ (pow x 2) (exp z))) (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 4) y) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow x 3) (pow (exp z) 2))))))) |
(* (pow y 2) (+ (* 5000000000000000/5641895835477563 (/ (pow x 2) (exp z))) (* y (- (* y (- (* -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 5) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 4) (pow (exp z) 3))))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow x 3) (pow (exp z) 2))))))) |
(* x y) |
(* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))) |
(* y (- (+ x (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2))))) (* 5641895835477563/5000000000000000 (/ (exp z) y)))) |
(* y (- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 2) (pow y 3))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x y))) (* 5641895835477563/5000000000000000 (exp z))) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 2) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) x))) y)) (* 5641895835477563/5000000000000000 (exp z))) y))))) |
(/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y))) |
(+ (* -5641895835477563/5000000000000000 (/ (* (pow x 2) (* (pow y 2) z)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))) (+ 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ (* (pow x 2) (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* x y)) 2))))) (/ (* (pow x 2) (pow y 2)) (+ 5641895835477563/5000000000000000 (* x y)))) |
(/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
| Outputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)) (fma.f64 x (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (exp.f64 (+.f64 z z))) x)) |
(+ (* 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))))))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)) (fma.f64 x (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 (*.f64 y y) (exp.f64 (+.f64 z z))) (/.f64 (*.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (*.f64 y (*.f64 y y))) (pow.f64 (exp.f64 z) #s(literal 3 binary64)))) x)) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) x) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (exp.f64 (+.f64 z z)))) x)) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(+.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) |
(* 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)))) |
(*.f64 x (-.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x (*.f64 x x)))) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 x) x) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(fma.f64 (fma.f64 (/.f64 (exp.f64 z) (*.f64 y (*.f64 x (*.f64 x x)))) #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 x) x) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(fma.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (*.f64 x (*.f64 y y)))) (*.f64 x (*.f64 x x)))) x) |
x |
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)) x) |
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z)))) x) |
(+ 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)))))) |
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (*.f64 y (fma.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 x x)) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))))) x) |
(- x (/ 1 x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) |
(+.f64 x (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))) |
(- (+ x (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))))) (/ 1 x)) |
(-.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 (*.f64 y y) (*.f64 x (*.f64 x x)))) x) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) |
(- (+ x (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))))) (/ 1 x)) |
(+.f64 (+.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))) x) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (*.f64 (*.f64 y y) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal -1 binary64) x)) |
(- x (/ 1 x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) |
(+.f64 x (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) (*.f64 y (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))) |
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(/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 y x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 y x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/ (* (pow x 2) (pow y 2)) (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 y x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
| 6 714× | lower-*.f32 |
| 6 704× | lower-*.f64 |
| 4 298× | lower-/.f32 |
| 4 282× | lower-/.f64 |
| 3 194× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 491 |
| 0 | 81 | 359 |
| 1 | 393 | 354 |
| 2 | 3141 | 354 |
| 0 | 9910 | 353 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) |
#s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
(-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)))) |
(/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64)) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y)) |
(/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
(+.f64 x (/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
(/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))) |
(-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) |
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(*.f64 x (*.f64 y (*.f64 x y))) |
| Outputs |
|---|
(+.f64 x (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) (-.f64 #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (*.f64 x (*.f64 x (*.f64 y y)))) x) |
(fma.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (*.f64 x y) #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) (-.f64 (*.f64 x y) #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))))) (fma.f64 x (*.f64 x x) (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))))))) |
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(/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))) |
(pow.f64 (/.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x (*.f64 x (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x (*.f64 x (*.f64 y y)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (*.f64 x (*.f64 y y)) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))) |
(*.f64 (*.f64 x y) (/.f64 (*.f64 x y) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))) |
(*.f64 (*.f64 x (*.f64 y y)) (/.f64 x (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (*.f64 x (*.f64 x (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (*.f64 y y)) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))))) (fma.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (*.f64 x (*.f64 x (*.f64 y y))))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 (*.f64 x y) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) (-.f64 (*.f64 x y) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 x y) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 x y)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(*.f64 y (*.f64 x (*.f64 x y))) |
(*.f64 y (*.f64 (*.f64 x y) x)) |
(*.f64 (*.f64 x y) (*.f64 x y)) |
(*.f64 (*.f64 x (*.f64 y y)) x) |
(*.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (neg.f64 (*.f64 x y)) (neg.f64 (*.f64 x y))) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x y)) y) |
(*.f64 (*.f64 (*.f64 x y) x) y) |
Compiled 65 925 to 4 422 computations (93.3% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 663 | 11 | 1 674 |
| Fresh | 8 | 5 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 674 | 21 | 1 695 |
| Status | Accuracy | Program |
|---|---|---|
| 47.2% | (fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) | |
| 84.5% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) | |
| ▶ | 84.7% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
| ▶ | 81.3% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
| 64.6% | (fma.f64 #s(approx (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))) y x) | |
| ▶ | 84.9% | (+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
| ✓ | 81.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| 81.2% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| ✓ | 83.0% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ✓ | 65.8% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
| ▶ | 84.6% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))) |
| ✓ | 70.0% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| ✓ | 81.3% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
| 81.3% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) (*.f64 y (+.f64 x (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))))))) | |
| 81.7% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) (*.f64 x (+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))))) | |
| 59.8% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| 62.3% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (*.f64 (/.f64 y (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| 45.9% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))) | |
| 47.4% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) x))) | |
| 59.8% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) | |
| ▶ | 14.3% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
Compiled 667 to 360 computations (46% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))) | |
| cost-diff | 704 | (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) | |
| cost-diff | 704 | (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) | |
| cost-diff | 0 | #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) | |
| cost-diff | 0 | #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) | |
| cost-diff | 0 | (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) | |
| cost-diff | 0 | (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) | |
| cost-diff | 0 | #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) | |
| cost-diff | 0 | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) | |
| cost-diff | 0 | (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| cost-diff | 128 | (+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
| 14 124× | lower-fma.f32 |
| 14 102× | lower-fma.f64 |
| 2 762× | lower-*.f32 |
| 2 758× | lower-*.f64 |
| 2 036× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 442 |
| 0 | 89 | 441 |
| 1 | 161 | 440 |
| 2 | 303 | 434 |
| 3 | 537 | 431 |
| 4 | 1027 | 431 |
| 5 | 2467 | 427 |
| 6 | 5688 | 427 |
| 7 | 7670 | 427 |
| 0 | 8062 | 410 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(neg.f64 y) |
y |
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) |
x |
#s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) |
z |
(fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) |
#s(literal -5641895835477563/10000000000000000 binary64) |
#s(literal -5641895835477563/5000000000000000 binary64) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
#s(literal 5000000000000000/5641895835477563 binary64) |
y |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) |
#s(literal -1 binary64) |
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) |
x |
y |
#s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) |
#s(literal -5641895835477563/5000000000000000 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(literal -1 binary64) |
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)))) |
x |
y |
#s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)) |
z |
#s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) |
(*.f64 z #s(literal -5641895835477563/10000000000000000 binary64)) |
#s(literal -5641895835477563/10000000000000000 binary64) |
#s(literal -5641895835477563/5000000000000000 binary64) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
#s(literal 1 binary64) |
#s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) |
(fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) |
z |
(fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) |
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) |
#s(literal 5641895835477563/30000000000000000 binary64) |
(/.f64 z y) |
y |
(/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y) |
#s(literal 5641895835477563/10000000000000000 binary64) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) |
| Outputs |
|---|
(+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(-.f64 x (/.f64 y (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(/.f64 y (neg.f64 (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(neg.f64 y) |
y |
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) |
(fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) |
x |
#s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) |
z |
(fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) |
#s(literal -5641895835477563/10000000000000000 binary64) |
#s(literal -5641895835477563/5000000000000000 binary64) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) |
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
#s(literal 5000000000000000/5641895835477563 binary64) |
y |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
(-.f64 x (/.f64 y (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) |
#s(literal -1 binary64) |
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) |
x |
y |
#s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) |
#s(literal -5641895835477563/5000000000000000 binary64) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(-.f64 x (/.f64 y (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(literal -1 binary64) |
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)))) |
(fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)))) |
x |
y |
#s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)) |
z |
#s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) |
(*.f64 z #s(literal -5641895835477563/10000000000000000 binary64)) |
#s(literal -5641895835477563/10000000000000000 binary64) |
#s(literal -5641895835477563/5000000000000000 binary64) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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) (fma.f64 (/.f64 z y) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) x))))) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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) (fma.f64 (/.f64 z y) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) x)))) |
#s(literal 1 binary64) |
#s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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) (fma.f64 (/.f64 z y) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) x))) |
(fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) |
(-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (fma.f64 (/.f64 z y) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) x)) |
z |
(fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) |
(fma.f64 z (/.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) y) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) |
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) |
(fma.f64 z (/.f64 #s(literal 5641895835477563/30000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) |
#s(literal 5641895835477563/30000000000000000 binary64) |
(/.f64 z y) |
y |
(/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y) |
#s(literal 5641895835477563/10000000000000000 binary64) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) | |
| accuracy | 0.20703125 | (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) | |
| accuracy | 0.20703125 | (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y) | |
| accuracy | 20.173075561095686 | #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) | |
| accuracy | 0.5701819079011482 | (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| accuracy | 1.5162962551272687 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) | |
| accuracy | 23.743363776422896 | #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) | |
| accuracy | 30.703997042727682 | #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) | |
| accuracy | 0.0078125 | (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0.5701819079011482 | (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) | |
| accuracy | 1.5162962551272687 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) | |
| accuracy | 31.97530764420492 | #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.3671875 | (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) | |
| accuracy | 11.898100731581833 | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) | |
| accuracy | 49.152262060855904 | #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) | |
| accuracy | 0.04296875 | (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.08984375 | (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) | |
| accuracy | 7.03643983188724 | (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| accuracy | 23.743363776422896 | #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) |
| 118.0ms | 256× | 0 | valid |
Compiled 290 to 47 computations (83.8% saved)
ival-div: 33.0ms (36.6% of total)const: 23.0ms (25.5% of total)ival-mult: 16.0ms (17.7% of total)ival-add: 10.0ms (11.1% of total)ival-sub: 3.0ms (3.3% of total)ival-exp: 2.0ms (2.2% of total)ival-neg: 1.0ms (1.1% 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 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) (patch (+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) (patch (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (patch (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) (patch #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) (patch #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (patch (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) (patch (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #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 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)))) (patch (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) (patch #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) (patch (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (patch (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) (patch #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) (patch #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) (patch #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y) (patch (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (patch (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) (patch (+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) (taylor 0 y) (#s(alt (+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) (patch (+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) (taylor 0 y) (#s(alt (+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) (patch (+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 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)))))) (taylor 0 y) (#s(alt (+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) (patch (+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ 1 x)) (taylor inf y) (#s(alt (+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) (patch (+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) #<representation binary64>) () ())) ()) |
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168 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) |
| 1.0ms | x | @ | 0 | (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) |
| 1.0ms | y | @ | 0 | (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) |
| 1.0ms | y | @ | inf | (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) |
| 1.0ms | y | @ | -inf | (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) |
| 1× | egg-herbie |
| 8 374× | lower-fma.f64 |
| 8 374× | lower-fma.f32 |
| 5 192× | lower-*.f64 |
| 5 192× | lower-*.f32 |
| 3 088× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 759 | 10253 |
| 1 | 2263 | 10053 |
| 2 | 6698 | 9876 |
| 0 | 8255 | 9109 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)))))) |
(- 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)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))))) (/ 1 x)) |
(- x (/ 1 x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) |
(- (+ x (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) 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)) |
(* 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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))))) (/ 1 (pow x 2)))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))))) |
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))))) |
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000))))))))))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(* 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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))) (* y (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(/ -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) |
(- (* -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)) |
(* 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 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))) 1) x) |
(/ (- (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))))) 1) 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 (/ (+ (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3))))) x))) x))) x)) |
(* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))) |
(+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))))))) |
(+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000)))))))))))) |
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -5641895835477563/5000000000000000 (exp z)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* x y) |
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -1 (* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -5641895835477563/5000000000000000 (exp z)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* x y) |
(* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))) |
(* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))) |
(* y (+ x (* -5641895835477563/5000000000000000 (/ (exp z) y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))) |
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))) |
(* -1 (* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))) |
(- (* x y) 5641895835477563/5000000000000000) |
(- (+ (* -5641895835477563/5000000000000000 z) (* x y)) 5641895835477563/5000000000000000) |
(- (+ (* x y) (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
(- (+ (* x y) (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000))) 5641895835477563/5000000000000000) |
(+ (* -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)) (* x y)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(+ (* -5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (+ (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))) (* x (+ (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))))) (/ 1 (pow x 2)))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
x |
(+ 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)))))) |
(- 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)))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))))) (/ 1 x)) |
(- x (/ 1 x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) |
(- (+ x (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) 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)) |
(+ x (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000)))) |
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(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))))))))) |
(+ x (+ (* -1 (/ y (- (* x y) 5641895835477563/5000000000000000))) (* z (+ (* -5641895835477563/5000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* z (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (+ (* -5641895835477563/30000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 3))) (* -5641895835477563/10000000000000000 (/ y (pow (- (* x y) 5641895835477563/5000000000000000) 2)))) (- (* x y) 5641895835477563/5000000000000000))))))))))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
(+ x (* -1 (/ y (+ (* -5641895835477563/5000000000000000 (exp z)) (* x y))))) |
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(* -1 (/ (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) y)) |
(* -1 (/ (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) 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)))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(+ x (/ 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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(+ 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)))) |
(+ 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)))) |
x |
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
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(- 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)))) |
(- 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)) |
(/ 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)))) |
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(/ 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))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(/ -1 x) |
(* -1 (/ (+ 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)) |
(* 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))))) |
(/ -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) |
(- (* -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)) |
-5641895835477563/5000000000000000 |
(- (* -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) |
(- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(- (* z (- (* z (- (* -5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(* -5641895835477563/5000000000000000 (exp z)) |
(* -5641895835477563/5000000000000000 (exp z)) |
(* -5641895835477563/5000000000000000 (exp z)) |
(* -5641895835477563/5000000000000000 (exp z)) |
(* -5641895835477563/5000000000000000 (exp z)) |
(* -5641895835477563/5000000000000000 (exp z)) |
(* -5641895835477563/5000000000000000 (exp z)) |
(* -5641895835477563/5000000000000000 (exp z)) |
-5641895835477563/5000000000000000 |
(- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) |
(- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) |
(- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) |
(* -5641895835477563/10000000000000000 z) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* -5641895835477563/10000000000000000 z) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
-5641895835477563/5000000000000000 |
(- (* -5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) |
(- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(- (* z (- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(* -5641895835477563/10000000000000000 (pow z 2)) |
(* -1 (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/10000000000000000)) |
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/10000000000000000)) |
(* -5641895835477563/10000000000000000 (pow z 2)) |
(* -1 (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/10000000000000000)) |
(* (pow z 2) (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/10000000000000000)) |
-5641895835477563/5000000000000000 |
(- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) |
(- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) |
(- (* -5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) |
(* -5641895835477563/10000000000000000 z) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* -5641895835477563/10000000000000000 z) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(* -1 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))) |
(/ (- 5641895835477563/5000000000000000 (* x y)) y) |
(- (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y))) x) |
(- (+ (* z (+ (* 5641895835477563/10000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))) x) |
(- (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (* 5641895835477563/10000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y))) x) |
(/ (- (* 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)) 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) y)) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(* -1 x) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)) |
(* -1 x) |
(* -1 (* 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)))))) |
(* 5641895835477563/5000000000000000 (/ (exp z) y)) |
(/ (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) y) |
(/ (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) y) |
(/ (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) y) |
(* -1 x) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(* -1 x) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(/ 5641895835477563/10000000000000000 y) |
(/ 5641895835477563/10000000000000000 y) |
(/ 5641895835477563/10000000000000000 y) |
(/ 5641895835477563/10000000000000000 y) |
(/ 5641895835477563/10000000000000000 y) |
(/ 5641895835477563/10000000000000000 y) |
(/ 5641895835477563/10000000000000000 y) |
(/ 5641895835477563/10000000000000000 y) |
(/ 5641895835477563/10000000000000000 y) |
(/ 5641895835477563/10000000000000000 y) |
(/ 5641895835477563/10000000000000000 y) |
(/ 5641895835477563/10000000000000000 y) |
(/ 5641895835477563/5000000000000000 y) |
(/ 5641895835477563/5000000000000000 y) |
(/ 5641895835477563/5000000000000000 y) |
(/ 5641895835477563/5000000000000000 y) |
(/ 5641895835477563/5000000000000000 y) |
(/ 5641895835477563/5000000000000000 y) |
(/ 5641895835477563/5000000000000000 y) |
(/ 5641895835477563/5000000000000000 y) |
(/ 5641895835477563/5000000000000000 y) |
(/ 5641895835477563/5000000000000000 y) |
(/ 5641895835477563/5000000000000000 y) |
(/ 5641895835477563/5000000000000000 y) |
| Outputs |
|---|
x |
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (exp.f64 (neg.f64 z)) y) x) |
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(fma.f64 y (fma.f64 x (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) y) (exp.f64 (+.f64 z z))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))) x) |
(+ 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)))))) |
(fma.f64 y (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)) (*.f64 y (fma.f64 (/.f64 (*.f64 x x) (exp.f64 (+.f64 z (+.f64 z z)))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) y) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))))) x) |
(- x (/ 1 x)) |
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(/ 5641895835477563/5000000000000000 y) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
(/ 5641895835477563/5000000000000000 y) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
(/ 5641895835477563/5000000000000000 y) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
(/ 5641895835477563/5000000000000000 y) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
(/ 5641895835477563/5000000000000000 y) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
(/ 5641895835477563/5000000000000000 y) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
(/ 5641895835477563/5000000000000000 y) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
(/ 5641895835477563/5000000000000000 y) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
(/ 5641895835477563/5000000000000000 y) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
(/ 5641895835477563/5000000000000000 y) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
| 7 590× | lower-*.f32 |
| 7 586× | lower-*.f64 |
| 6 118× | lower-fma.f32 |
| 6 096× | lower-fma.f64 |
| 4 664× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 388 |
| 0 | 89 | 387 |
| 1 | 429 | 386 |
| 2 | 3727 | 386 |
| 0 | 11184 | 383 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(neg.f64 y) |
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) |
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))) |
#s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)))) |
#s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) |
(fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
#s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) |
(fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) |
#s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) |
#s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) |
(/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
| Outputs |
|---|
(+.f64 x (/.f64 (neg.f64 y) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(+.f64 (/.f64 (neg.f64 y) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(-.f64 x (/.f64 y (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) (-.f64 (/.f64 (neg.f64 y) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (neg.f64 y) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) x) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) (neg.f64 y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))))) (fma.f64 #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) (-.f64 #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))) x) |
(fma.f64 (/.f64 (neg.f64 y) (*.f64 (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (-.f64 (*.f64 y x) #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) (-.f64 (*.f64 y x) #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (neg.f64 y) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))))) (fma.f64 x (*.f64 x x) (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 y) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) (-.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))))) (fma.f64 x (-.f64 x (/.f64 (neg.f64 y) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))) (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))))) |
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(fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) |
(fma.f64 z (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64)) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(literal -5641895835477563/10000000000000000 binary64) (*.f64 z z) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) |
(fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) z #s(literal -5641895835477563/5000000000000000 binary64)) |
(fma.f64 (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64)) z (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) |
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(/.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))))) |
(/.f64 (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))))) (-.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) (fma.f64 (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))))) |
(*.f64 (fma.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) |
(exp.f64 (log.f64 #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x)))) |
(/.f64 #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x))) #s(literal -1 binary64)) |
#s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x)) |
(pow.f64 #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x)) #s(literal 1 binary64)) |
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(*.f64 #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -5641895835477563/10000000000000000 binary64) y)) |
(/.f64 #s(literal -5641895835477563/10000000000000000 binary64) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)))) |
(/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) #s(literal 1 binary64))) |
(pow.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y #s(literal 10000000000000000/5641895835477563 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5641895835477563/10000000000000000 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y)) |
(/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal 1 binary64))) |
(pow.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 5641895835477563/5000000000000000 binary64)) |
Compiled 46 065 to 2 920 computations (93.7% saved)
22 alts after pruning (14 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 191 | 8 | 1 199 |
| Fresh | 5 | 6 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 198 | 22 | 1 220 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.7% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
| ✓ | 81.3% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
| 64.6% | (fma.f64 #s(approx (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))) y x) | |
| 84.9% | (-.f64 x (/.f64 y (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) | |
| ✓ | 81.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| 81.2% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| ✓ | 83.0% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ✓ | 65.8% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
| 84.4% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z #s(approx (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y)) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 (*.f64 z z) y))) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))) | |
| 81.3% | (+.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)))) | |
| 82.9% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (fma.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 5641895835477563/30000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x) (neg.f64 x)))))) | |
| 71.8% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) y))))) | |
| 38.7% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (/.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z (*.f64 z z))) y))))) | |
| ✓ | 70.0% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| ✓ | 81.3% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
| 59.8% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) | |
| 62.3% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (*.f64 (/.f64 y (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| 45.9% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))) | |
| 47.4% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x))) | |
| 59.8% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) | |
| 14.3% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| ✓ | 14.3% | #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
Compiled 1 060 to 410 computations (61.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 #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 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(-.f64 x (/.f64 y (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) (*.f64 x (+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) (*.f64 y (+.f64 x (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (/.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z (*.f64 z z))) y))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (*.f64 (/.f64 y (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) y))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (+.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z #s(approx (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y)) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 (*.f64 z z) y))) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (fma.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 5641895835477563/30000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x) (neg.f64 x)))))) |
(+.f64 x (/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (*.f64 x x)) (-.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)) |
(fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)) |
(fma.f64 #s(approx (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z)))) y x) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #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))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
6 calls:
| 178.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 50.0ms | x |
| 40.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 13.0ms | y |
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | x |
| 97.6% | 1 | y |
| 99.9% | 2 | z |
| 97.6% | 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 39 to 29 computations (25.6% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 #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 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(-.f64 x (/.f64 y (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) (*.f64 x (+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) (*.f64 y (+.f64 x (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (/.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z (*.f64 z z))) y))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (*.f64 (/.f64 y (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) y))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (+.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z #s(approx (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y)) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 (*.f64 z z) y))) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (fma.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 5641895835477563/30000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x) (neg.f64 x)))))) |
(+.f64 x (/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (*.f64 x x)) (-.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)) |
(fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)) |
(fma.f64 #s(approx (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.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:
| 15.0ms | (exp.f64 z) |
| 14.0ms | y |
| 14.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 14.0ms | z |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 97.9% | 3 | x |
| 95.9% | 2 | y |
| 99.9% | 3 | z |
| 99.9% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.9% | 3 | (exp.f64 z) |
Compiled 39 to 29 computations (25.6% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 #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 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(-.f64 x (/.f64 y (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) (*.f64 x (+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) (*.f64 y (+.f64 x (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (/.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z (*.f64 z z))) y))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (*.f64 (/.f64 y (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) y))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (+.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z #s(approx (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y)) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 (*.f64 z z) y))) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (fma.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 5641895835477563/30000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x) (neg.f64 x)))))) |
(+.f64 x (/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (*.f64 x x)) (-.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)) |
(fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)) |
(fma.f64 #s(approx (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.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) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x)) |
4 calls:
| 12.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 12.0ms | z |
| 12.0ms | (exp.f64 z) |
| 11.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | z |
| 99.9% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.9% | 3 | (exp.f64 z) |
| 96.4% | 4 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
Compiled 31 to 23 computations (25.8% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 #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 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(-.f64 x (/.f64 y (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) (*.f64 x (+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) (*.f64 y (+.f64 x (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (/.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z (*.f64 z z))) y))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (*.f64 (/.f64 y (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) y))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (+.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z #s(approx (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y)) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 (*.f64 z z) y))) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (fma.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 5641895835477563/30000000000000000 binary64) y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) x) (neg.f64 x)))))) |
(+.f64 x (/.f64 y (-.f64 (/.f64 (*.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (*.f64 x x)) (-.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) x)) |
(fma.f64 (/.f64 y (*.f64 (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (fma.f64 x y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
| 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) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))) |
3 calls:
| 12.0ms | z |
| 11.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 9.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | z |
| 97.7% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 97.7% | 2 | (exp.f64 z) |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 #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 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(-.f64 x (/.f64 y (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) (*.f64 x (+.f64 y (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) (*.f64 y (+.f64 x (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y))))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 (/.f64 (neg.f64 y) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(approx (+ (* z -5641895835477563/10000000000000000) -5641895835477563/5000000000000000) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(approx (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) y))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (/.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z (*.f64 z z))) y))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (*.f64 (/.f64 y (fma.f64 x (*.f64 x (*.f64 y y)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))) y x) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y))) (- (/ 5641895835477563/5000000000000000 y) x)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) y))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z (+.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z #s(approx (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (/ 5641895835477563/10000000000000000 y))) (/ 5641895835477563/5000000000000000 y)) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 (*.f64 z z) y))) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (*.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(-.f64 x (/.f64 y (fma.f64 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
3 calls:
| 10.0ms | z |
| 9.0ms | (exp.f64 z) |
| 8.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 2 | z |
| 97.6% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 97.6% | 2 | (exp.f64 z) |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 #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 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z #s(literal -5641895835477563/5000000000000000 binary64) #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 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
5 calls:
| 7.0ms | x |
| 6.0ms | y |
| 6.0ms | z |
| 4.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 4.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 2 | y |
| 83.0% | 1 | x |
| 95.3% | 2 | z |
| 95.3% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 95.3% | 2 | (exp.f64 z) |
Compiled 24 to 19 computations (20.8% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 #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 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
3 calls:
| 8.0ms | z |
| 4.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 4.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 95.2% | 3 | (exp.f64 z) |
| 95.2% | 3 | z |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
3 calls:
| 5.0ms | z |
| 4.0ms | (exp.f64 z) |
| 4.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 95.1% | 3 | (exp.f64 z) |
| 95.1% | 3 | z |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+.f64 x (/.f64 x (*.f64 x (neg.f64 x))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 y (neg.f64 x))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(approx (* (exp z) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x #s(approx (/ y (+ (* y x) -5641895835477563/5000000000000000)) (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) |
4 calls:
| 5.0ms | (exp.f64 z) |
| 5.0ms | z |
| 5.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 4.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 91.2% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 91.2% | 2 | (exp.f64 z) |
| 91.2% | 2 | z |
Compiled 31 to 23 computations (25.8% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
6 calls:
| 4.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| 2.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 3 | x |
| 80.9% | 3 | y |
| 84.8% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 76.6% | 2 | z |
| 76.2% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 76.2% | 2 | (exp.f64 z) |
Compiled 39 to 29 computations (25.6% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.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))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
1 calls:
| 3.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.8% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) |
| Outputs |
|---|
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
6 calls:
| 18.0ms | x |
| 2.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 1 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 59.8% | 1 | (exp.f64 z) |
| 59.8% | 1 | z |
| 59.8% | 1 | x |
| 59.8% | 1 | y |
| 59.8% | 1 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
Compiled 39 to 29 computations (25.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
| Outputs |
|---|
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
6 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 | x |
| 1.0ms | y |
| 1.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 14.3% | 1 | y |
| 14.3% | 1 | x |
| 14.3% | 1 | z |
| 14.3% | 1 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 14.3% | 1 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 14.3% | 1 | (exp.f64 z) |
Compiled 39 to 29 computations (25.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.0 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.539210788063188e+277 | 3.95564864045766e+278 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.000000530641462 |
| 0.0ms | 0.0 | 1.0 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.0 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.0 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | -1.2776052532239699e+22 | -11474.302182925117 |
| 36.0ms | 160× | 0 | valid |
Compiled 288 to 186 computations (35.4% saved)
ival-add: 23.0ms (72.7% of total)ival-exp: 2.0ms (6.3% of total)ival-mult: 2.0ms (6.3% of total)const: 2.0ms (6.3% of total)ival-sub: 1.0ms (3.2% of total)ival-div: 1.0ms (3.2% 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 |
|---|---|---|
| 10.0ms | 253888498449.52658 | 853407107180.0483 |
| 1.0ms | -1.2776052532239699e+22 | -11474.302182925117 |
| 7.0ms | 80× | 0 | valid |
Compiled 413 to 286 computations (30.8% saved)
const: 2.0ms (38.3% of total)ival-exp: 1.0ms (19.1% of total)ival-mult: 1.0ms (19.1% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 253888498449.52658 | 853407107180.0483 |
| 1.0ms | -1.2776052532239699e+22 | -11474.302182925117 |
Compiled 398 to 256 computations (35.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 0.0 | 1.0 |
| 16.0ms | 224× | 0 | valid |
Compiled 340 to 226 computations (33.5% saved)
ival-mult: 3.0ms (31.2% of total)const: 3.0ms (31.2% of total)ival-div: 2.0ms (20.8% of total)ival-sub: 1.0ms (10.4% of total)ival-add: 1.0ms (10.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 41050107.13298271 | 1927511459.125048 |
| 0.0ms | -1.8891555543062122 | -0.0005296568538558743 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 41050107.13298271 | 1927511459.125048 |
| 0.0ms | -1.8891555543062122 | -0.0005296568538558743 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | egg-herbie |
| 46× | +-commutative_binary64 |
| 34× | sub-neg_binary64 |
| 30× | *-commutative_binary64 |
| 20× | neg-sub0_binary64 |
| 20× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 696 |
| 1 | 157 | 696 |
| 2 | 192 | 696 |
| 3 | 211 | 696 |
| 4 | 224 | 696 |
| 5 | 228 | 696 |
| 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))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)) |
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 49999999999999998175343433979589279157951137391496288266157242743110873150620102906337171435410246399918892469000602018887594876771980109395971573896894072660533262290309118329484316681379045013850167655746877489167183814937869568749188006828844715705934104413037475872242663424 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) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) 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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))))) |
(if (<=.f64 z #s(literal -11500 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 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) |
(if (<=.f64 z #s(literal -11500 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 260000000000 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 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))))) |
(if (<=.f64 z #s(literal -11500 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 260000000000 binary64)) #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))))) |
(if (<=.f64 (exp.f64 z) #s(literal 7191592052898167/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #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 -1 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 50000000 binary64)) #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) x))) (+.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 -1 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 50000000 binary64)) #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
| 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))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x)) |
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 49999999999999998175343433979589279157951137391496288266157242743110873150620102906337171435410246399918892469000602018887594876771980109395971573896894072660533262290309118329484316681379045013850167655746877489167183814937869568749188006828844715705934104413037475872242663424 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 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal 49999999999999998175343433979589279157951137391496288266157242743110873150620102906337171435410246399918892469000602018887594876771980109395971573896894072660533262290309118329484316681379045013850167655746877489167183814937869568749188006828844715705934104413037475872242663424 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.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) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) 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 1 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)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 y #s(literal 5000000000000000/5641895835477563 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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 z y) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) y)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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 y x #s(approx (* (exp z) -5641895835477563/5000000000000000) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64))))))) |
(if (<=.f64 z #s(literal -11500 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 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) |
(if (<=.f64 z #s(literal -11500 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 260000000000 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 (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))))) |
(if (<=.f64 z #s(literal -11500 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 260000000000 binary64)) #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))))) |
(if (<=.f64 (exp.f64 z) #s(literal 7191592052898167/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y (fma.f64 y x #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 -1 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 50000000 binary64)) #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x) #s(literal 5000000000000000/5641895835477563 binary64)) x))) (+.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 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal -1 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 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal 50000000 binary64)) #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 x y) #s(literal 5000000000000000/5641895835477563 binary64)) x))) (+.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 -1 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 50000000 binary64)) #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #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 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal -1 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 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(literal 50000000 binary64)) #s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) (-.f64 x (/.f64 y #s(approx (+ (* y x) -5641895835477563/5000000000000000) #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y))) |
#s(approx (+ (* (/ -1 (+ (* x y) (* (exp z) -5641895835477563/5000000000000000))) y) x) #s(approx (- x (/ y (+ (* y x) -5641895835477563/5000000000000000))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)))) |
| 8 530× | lower-fma.f64 |
| 8 530× | lower-fma.f32 |
| 8 374× | lower-fma.f64 |
| 8 374× | lower-fma.f32 |
| 8 298× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 259 |
| 0 | 66 | 259 |
| 1 | 293 | 259 |
| 2 | 2312 | 259 |
| 0 | 9573 | 259 |
| 0 | 759 | 10253 |
| 1 | 2263 | 10053 |
| 2 | 6698 | 9876 |
| 0 | 8255 | 9109 |
| 0 | 303 | 1957 |
| 1 | 865 | 1937 |
| 2 | 2563 | 1849 |
| 0 | 8206 | 1764 |
| 0 | 544 | 9690 |
| 1 | 1595 | 9487 |
| 2 | 4722 | 9302 |
| 0 | 8556 | 8724 |
| 0 | 1387 | 16136 |
| 1 | 4339 | 15814 |
| 0 | 9001 | 14735 |
| 0 | 10 | 34 |
| 0 | 16 | 34 |
| 1 | 57 | 34 |
| 2 | 451 | 34 |
| 3 | 7444 | 34 |
| 0 | 8118 | 33 |
| 0 | 50 | 491 |
| 0 | 81 | 359 |
| 1 | 393 | 354 |
| 2 | 3141 | 354 |
| 0 | 9910 | 353 |
| 0 | 58 | 388 |
| 0 | 89 | 387 |
| 1 | 429 | 386 |
| 2 | 3727 | 386 |
| 0 | 11184 | 383 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
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| 1× | node limit |
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| 1× | node limit |
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| 1× | node limit |
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Compiled 1 084 to 507 computations (53.2% saved)
Compiled 830 to 222 computations (73.3% saved)
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