
Time bar (total: 10.8s)
| 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)
| 1.5s | 8 256× | 0 | valid |
ival-div: 413.0ms (34.6% of total)const: 386.0ms (32.3% of total)ival-mult: 189.0ms (15.8% of total)ival-exp: 118.0ms (9.9% of total)ival-add: 41.0ms (3.4% of total)ival-sub: 38.0ms (3.2% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 3.0ms (0.3% of total)| 2× | egg-herbie |
| 304× | accelerator-lowering-fma.f32 |
| 304× | accelerator-lowering-fma.f64 |
| 274× | distribute-lft-neg-in |
| 250× | sub-neg |
| 234× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 127 |
| 1 | 112 | 121 |
| 2 | 208 | 121 |
| 3 | 462 | 120 |
| 4 | 877 | 120 |
| 5 | 1540 | 120 |
| 6 | 2126 | 120 |
| 7 | 2454 | 120 |
| 8 | 2521 | 120 |
| 9 | 2544 | 120 |
| 10 | 2550 | 120 |
| 11 | 2550 | 120 |
| 0 | 10 | 12 |
| 1 | 18 | 12 |
| 2 | 30 | 12 |
| 3 | 42 | 12 |
| 4 | 65 | 12 |
| 5 | 95 | 12 |
| 6 | 154 | 12 |
| 7 | 224 | 12 |
| 8 | 317 | 12 |
| 9 | 425 | 12 |
| 10 | 588 | 12 |
| 11 | 601 | 12 |
| 12 | 616 | 12 |
| 13 | 655 | 12 |
| 0 | 655 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| Outputs |
|---|
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) |
| Inputs |
|---|
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ (neg x) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* (neg x) y)))) |
(+ x (/ (neg y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x (neg y))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp (neg z))) (* x y)))) |
(neg (+ (neg x) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* (neg x) y))))) |
(neg (+ x (/ (neg y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x (neg y)))))) |
(neg (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp (neg z))) (* x y))))) |
(+ y (/ x (- (* 5641895835477563/5000000000000000 (exp z)) (* y x)))) |
(+ z (/ y (- (* 5641895835477563/5000000000000000 (exp x)) (* z y)))) |
(+ x (/ z (- (* 5641895835477563/5000000000000000 (exp y)) (* x z)))) |
| Outputs |
|---|
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ (neg x) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* (neg x) y)))) |
(- (/ y (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))) x) |
(+ x (/ (neg y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x (neg y))))) |
(+ x (/ y (- (* (exp z) -5641895835477563/5000000000000000) (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp (neg z))) (* x y)))) |
(+ x (/ y (- (/ 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(neg (+ (neg x) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* (neg x) y))))) |
(+ x (/ y (- (* (exp z) -5641895835477563/5000000000000000) (* x y)))) |
(neg (+ x (/ (neg y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x (neg y)))))) |
(- (/ y (+ (* 5641895835477563/5000000000000000 (exp z)) (* x y))) x) |
(neg (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp (neg z))) (* x y))))) |
(- (/ y (+ (* x y) (/ -5641895835477563/5000000000000000 (exp z)))) x) |
(+ y (/ x (- (* 5641895835477563/5000000000000000 (exp z)) (* y x)))) |
(+ y (/ x (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ z (/ y (- (* 5641895835477563/5000000000000000 (exp x)) (* z y)))) |
(+ z (/ y (- (* 5641895835477563/5000000000000000 (exp x)) (* y z)))) |
(+ x (/ z (- (* 5641895835477563/5000000000000000 (exp y)) (* x z)))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 23 | 0 | - | 0 | - | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
| 8 | 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 | 8 | 0 |
| ↳ | (exp.f64 z) | overflow | 70 | |
| ↳ | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | overflow | 70 | |
| ↳ | (*.f64 x y) | overflow | 27 | |
/.f64 | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) | n/u | 7 | 0 |
| ↳ | (exp.f64 z) | underflow | 53 | |
| ↳ | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | underflow | 53 | |
| ↳ | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | underflow | 7 | |
| ↳ | (*.f64 x y) | underflow | 33 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 15 | 0 |
| - | 0 | 241 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 15 | 0 | 0 |
| - | 0 | 0 | 241 |
| number | freq |
|---|---|
| 0 | 241 |
| 1 | 15 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 76.0ms | 512× | 0 | valid |
Compiled 120 to 44 computations (63.3% saved)
const: 11.0ms (35.8% of total)ival-mult: 7.0ms (22.8% of total)ival-div: 4.0ms (13% of total)ival-exp: 4.0ms (13% of total)ival-sub: 2.0ms (6.5% of total)ival-add: 2.0ms (6.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.2% | (+.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× | accelerator-lowering-fma.f32 |
| 304× | accelerator-lowering-fma.f64 |
| 192× | *-lowering-*.f32 |
| 192× | *-lowering-*.f64 |
| 88× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 43 |
| 1 | 18 | 43 |
| 2 | 30 | 43 |
| 3 | 42 | 43 |
| 4 | 65 | 43 |
| 5 | 95 | 43 |
| 6 | 154 | 43 |
| 7 | 224 | 43 |
| 8 | 317 | 43 |
| 9 | 425 | 43 |
| 10 | 588 | 43 |
| 11 | 601 | 43 |
| 12 | 616 | 43 |
| 13 | 655 | 43 |
| 0 | 655 | 42 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
x |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
y |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* 5641895835477563/5000000000000000 (exp z)) |
5641895835477563/5000000000000000 |
(exp z) |
z |
(* x y) |
| Outputs |
|---|
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(-.f64 x (/.f64 y (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y)))) |
x |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/.f64 (neg.f64 y) (fma.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 x y))) |
y |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y (neg.f64 x))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(exp z) |
(exp.f64 z) |
z |
(* x y) |
(*.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 z) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| ✓ | accuracy | 97.5% | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) |
| ✓ | accuracy | 91.5% | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
| 22.0ms | 256× | 0 | valid |
Compiled 45 to 12 computations (73.3% saved)
const: 4.0ms (29.3% of total)ival-mult: 3.0ms (22% of total)ival-div: 2.0ms (14.7% of total)ival-exp: 2.0ms (14.7% of total)ival-sub: 1.0ms (7.3% of total)ival-add: 1.0ms (7.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (exp z)> |
| Outputs |
|---|
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))> |
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))> |
#<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))))))> |
#<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))))))> |
#<alt x> |
#<alt (* x (- 1 (/ 1 (pow x 2))))> |
#<alt (* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))> |
#<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)))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))> |
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))> |
#<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)))> |
#<alt x> |
#<alt (+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))> |
#<alt (+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))> |
#<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))))))> |
#<alt (- x (/ 1 x))> |
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))> |
#<alt (- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))> |
#<alt (- (+ 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))))> |
#<alt (- x (/ 1 x))> |
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))> |
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))> |
#<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))> |
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))> |
#<alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))> |
#<alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))> |
#<alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))> |
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))> |
#<alt (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))> |
#<alt (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))> |
#<alt (* 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)))))> |
#<alt (/ -1 x)> |
#<alt (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))> |
#<alt (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))> |
#<alt (- (* -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))))> |
#<alt (/ -1 x)> |
#<alt (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))> |
#<alt (- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))> |
#<alt (- (* -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))> |
#<alt (/ y (- 5641895835477563/5000000000000000 (* x y)))> |
#<alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))> |
#<alt (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))> |
#<alt (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))> |
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))> |
#<alt (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))> |
#<alt (+ (* 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))))))> |
#<alt (+ (* 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))))))> |
#<alt (/ -1 x)> |
#<alt (/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)> |
#<alt (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)> |
#<alt (/ (- (* -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)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))> |
#<alt (- 5641895835477563/5000000000000000 (* x y))> |
#<alt (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y))> |
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y))> |
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))> |
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))> |
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))> |
#<alt (* -1 (* x y))> |
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))> |
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))> |
#<alt (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y))))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))> |
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))> |
#<alt (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))> |
#<alt (* -1 (* x y))> |
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))> |
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))> |
#<alt (* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))> |
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))> |
#<alt (* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))> |
#<alt 5641895835477563/5000000000000000> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt (* 5641895835477563/5000000000000000 (exp z))> |
#<alt 1> |
#<alt (+ 1 z)> |
#<alt (+ 1 (* z (+ 1 (* 1/2 z))))> |
#<alt (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))> |
#<alt (exp z)> |
#<alt (exp z)> |
#<alt (exp z)> |
#<alt (exp z)> |
#<alt (exp z)> |
#<alt (exp z)> |
#<alt (exp z)> |
#<alt (exp z)> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1.0ms | z | @ | inf | (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1.0ms | z | @ | 0 | (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1.0ms | z | @ | -inf | (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1.0ms | x | @ | 0 | (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1× | batch-egg-rewrite |
| 5 764× | accelerator-lowering-fma.f32 |
| 5 764× | accelerator-lowering-fma.f64 |
| 4 434× | *-lowering-*.f32 |
| 4 434× | *-lowering-*.f64 |
| 3 236× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 51 | 36 |
| 2 | 445 | 36 |
| 3 | 7428 | 36 |
| 0 | 8102 | 35 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(exp z) |
| Outputs |
|---|
(+.f64 x (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(+.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))))) |
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal -2 binary64))) (-.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x)) (/.f64 (*.f64 x x) (-.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(fma.f64 x (/.f64 x (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))))) |
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) |
(fma.f64 (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) #s(literal 1 binary64) x) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 2 binary64)))))) |
(fma.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 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) x) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) y x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #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)))) (neg.f64 y) x) |
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x 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 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x) |
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (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)))) x) |
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (/.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))))))) x) |
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (*.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))))) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) x) |
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))))) x) |
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) (*.f64 (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (*.f64 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)))))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) (*.f64 y (fma.f64 x y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x) |
(fma.f64 (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y) #s(literal -1/2 binary64)) x) |
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(*.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 (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x 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)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x 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)))))) (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x 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)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y))))) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x 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 (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x 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)))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z)) (neg.f64 (*.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)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 x (*.f64 y y)))))) (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))))) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(exp.f64 z) |
| 1× | egg-herbie |
| 8 782× | accelerator-lowering-fma.f32 |
| 8 782× | accelerator-lowering-fma.f64 |
| 5 312× | *-lowering-*.f32 |
| 5 312× | *-lowering-*.f64 |
| 2 906× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 1999 |
| 1 | 904 | 1979 |
| 2 | 2644 | 1891 |
| 0 | 8336 | 1801 |
| 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)) |
1 |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(exp z) |
(exp z) |
(exp z) |
(exp z) |
(exp z) |
(exp z) |
(exp z) |
(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 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (/.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 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (/.f64 (*.f64 y (*.f64 y y)) (exp.f64 (+.f64 z (+.f64 z z)))) (/.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (exp.f64 z) #s(literal 4 binary64)))) #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 x (*.f64 y (*.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 x (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(+.f64 x (/.f64 x (*.f64 x (neg.f64 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 x (*.f64 y (*.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 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 (*.f64 (exp.f64 (+.f64 z z)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x)))) (*.f64 x (*.f64 x x)))) (neg.f64 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 #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)) (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 (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)) |
(- (+ 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)))) |
(+.f64 x (fma.f64 (exp.f64 (+.f64 z (+.f64 z z))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.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))) |
(- 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 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x)) |
(+.f64 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)) |
(- (+ 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 x (-.f64 (/.f64 (fma.f64 (exp.f64 (+.f64 z z)) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (*.f64 (exp.f64 (+.f64 z (+.f64 z z))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 y (pow.f64 x #s(literal 4 binary64)))))) (*.f64 y (neg.f64 y))) (/.f64 (fma.f64 (exp.f64 z) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal -1 binary64)) x))) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+.f64 x (fma.f64 y (/.f64 (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+.f64 x (fma.f64 z (-.f64 (/.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (*.f64 z (*.f64 (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/10000000000000000 binary64))))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(fma.f64 z (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (neg.f64 (*.f64 (fma.f64 z (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (*.f64 (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/10000000000000000 binary64))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/30000000000000000 binary64)))) (*.f64 (/.f64 y (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/10000000000000000 binary64)))) z))) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+.f64 x (/.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)) |
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (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))))) |
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(*.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))))))) |
(* 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))))) |
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y (pow.f64 (exp.f64 z) #s(literal 4 binary64))) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 x x)) (exp.f64 (+.f64 z (+.f64 z z))))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 (neg.f64 z))))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) 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 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 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 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)))) |
(fma.f64 (exp.f64 (+.f64 z (+.f64 z z))) (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.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 x) |
(/.f64 #s(literal -1 binary64) x) |
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(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 |
#s(literal 1 binary64) |
(+ 1 z) |
(+.f64 z #s(literal 1 binary64)) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp z) |
(exp.f64 z) |
(exp z) |
(exp.f64 z) |
(exp z) |
(exp.f64 z) |
(exp z) |
(exp.f64 z) |
(exp z) |
(exp.f64 z) |
(exp z) |
(exp.f64 z) |
(exp z) |
(exp.f64 z) |
(exp z) |
(exp.f64 z) |
Compiled 13 620 to 1 139 computations (91.6% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 393 | 10 | 403 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 394 | 10 | 404 |
| Status | Accuracy | Program |
|---|---|---|
| 66.5% | (fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x) | |
| 48.7% | (/.f64 (fma.f64 (*.f64 y (neg.f64 y)) (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) | |
| ▶ | 89.0% | (+.f64 x (/.f64 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)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
| ▶ | 90.5% | (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| 88.1% | (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| 88.6% | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y)))) | |
| ▶ | 87.0% | (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
| 64.3% | (+.f64 x (/.f64 #s(literal -1 binary64) x)) | |
| ▶ | 18.0% | (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
| ▶ | 68.5% | x |
Compiled 310 to 202 computations (34.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
| ✓ | cost-diff | 0 | (neg.f64 z) |
| ✓ | cost-diff | 0 | (exp.f64 (neg.f64 z)) |
| ✓ | cost-diff | 0 | (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
| ✓ | cost-diff | 0 | (/.f64 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)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 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)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
| ✓ | cost-diff | 0 | (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 y (neg.f64 x) (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 y (fma.f64 y (neg.f64 x) (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 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| 6 824× | accelerator-lowering-fma.f32 |
| 6 824× | accelerator-lowering-fma.f64 |
| 1 400× | *-lowering-*.f32 |
| 1 400× | *-lowering-*.f64 |
| 1 280× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 200 |
| 1 | 86 | 196 |
| 2 | 190 | 196 |
| 3 | 337 | 196 |
| 4 | 696 | 196 |
| 5 | 1601 | 196 |
| 6 | 3231 | 196 |
| 7 | 4110 | 196 |
| 8 | 4463 | 196 |
| 9 | 4581 | 196 |
| 10 | 4658 | 196 |
| 11 | 4814 | 196 |
| 12 | 4964 | 196 |
| 13 | 5027 | 196 |
| 14 | 5053 | 196 |
| 15 | 5060 | 196 |
| 16 | 5060 | 196 |
| 17 | 5183 | 196 |
| 18 | 5183 | 196 |
| 0 | 5183 | 172 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))) |
x |
(/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))) |
y |
(+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
(neg x) |
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
z |
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) |
5641895835477563/10000000000000000 |
5641895835477563/5000000000000000 |
x |
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x)))) |
x |
(/ y (- 5641895835477563/5000000000000000 (* y x))) |
y |
(- 5641895835477563/5000000000000000 (* y x)) |
5641895835477563/5000000000000000 |
(* y x) |
(+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x))))) |
x |
(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))) |
y |
(+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x))) |
z |
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) |
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) |
5641895835477563/30000000000000000 |
5641895835477563/10000000000000000 |
5641895835477563/5000000000000000 |
(- 5641895835477563/5000000000000000 (* y x)) |
(* y x) |
(* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) |
(exp (neg z)) |
(neg z) |
z |
(* 5000000000000000/5641895835477563 y) |
5000000000000000/5641895835477563 |
y |
| Outputs |
|---|
(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))) |
(-.f64 x (/.f64 y (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
x |
(/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))) |
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
y |
(+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y))) |
(neg x) |
(neg.f64 x) |
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
5641895835477563/10000000000000000 |
#s(literal 5641895835477563/10000000000000000 binary64) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
x |
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x)))) |
(-.f64 x (/.f64 y (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64)))) |
x |
(/ y (- 5641895835477563/5000000000000000 (* y x))) |
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) |
y |
(- 5641895835477563/5000000000000000 (* y x)) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(* y x) |
(*.f64 x y) |
(+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x))))) |
(-.f64 x (/.f64 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 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
x |
(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))) |
(/.f64 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)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) |
y |
(+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) |
z |
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
5641895835477563/30000000000000000 |
#s(literal 5641895835477563/30000000000000000 binary64) |
5641895835477563/10000000000000000 |
#s(literal 5641895835477563/10000000000000000 binary64) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(- 5641895835477563/5000000000000000 (* y x)) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) |
(* y x) |
(*.f64 x y) |
(* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) |
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(exp (neg z)) |
(exp.f64 (neg.f64 z)) |
(neg z) |
(neg.f64 z) |
z |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
5000000000000000/5641895835477563 |
#s(literal 5000000000000000/5641895835477563 binary64) |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 z)) |
| ✓ | accuracy | 100.0% | (*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
| ✓ | accuracy | 100.0% | (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 97.5% | (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
| ✓ | accuracy | 90.7% | (/.f64 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)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
| ✓ | accuracy | 89.9% | (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
| ✓ | accuracy | 99.9% | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 98.4% | (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | accuracy | 87.1% | (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| 73.0ms | 256× | 0 | valid |
Compiled 178 to 34 computations (80.9% saved)
ival-mult: 16.0ms (28.8% of total)const: 16.0ms (28.8% of total)ival-add: 12.0ms (21.6% of total)ival-div: 5.0ms (9% of total)ival-neg: 3.0ms (5.4% of total)ival-exp: 2.0ms (3.6% of total)ival-sub: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))))> |
#<alt (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))> |
#<alt (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))> |
#<alt (neg x)> |
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))> |
#<alt (/ y (- 5641895835477563/5000000000000000 (* y x)))> |
#<alt (- 5641895835477563/5000000000000000 (* y x))> |
#<alt (* y x)> |
#<alt (+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))))> |
#<alt (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x))))> |
#<alt (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))> |
#<alt (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)> |
#<alt (* (exp (neg z)) (* 5000000000000000/5641895835477563 y))> |
#<alt (exp (neg z))> |
#<alt (neg z)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)> |
#<alt (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)> |
#<alt (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)> |
| Outputs |
|---|
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))> |
#<alt (+ (* x (- (+ 1 (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))> |
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#<alt (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) x)) y))> |
#<alt (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) x)) y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)) (* -1 y))))> |
#<alt 5641895835477563/5000000000000000> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))> |
#<alt (* 5641895835477563/30000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* 5641895835477563/30000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))> |
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z)))))> |
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -2500000000000000/16925687506432689 (* y z)) (* 2500000000000000/5641895835477563 y))))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (* -1 z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (exp (neg z))))> |
#<alt 1> |
#<alt (+ 1 (* -1 z))> |
#<alt (+ 1 (* z (- (* 1/2 z) 1)))> |
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))> |
#<alt (exp (neg z))> |
#<alt (exp (neg z))> |
#<alt (exp (neg z))> |
#<alt (exp (neg z))> |
#<alt (exp (* -1 z))> |
#<alt (exp (* -1 z))> |
#<alt (exp (* -1 z))> |
#<alt (exp (* -1 z))> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt 5641895835477563/5000000000000000> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))> |
#<alt (* 5641895835477563/10000000000000000 z)> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* 5641895835477563/10000000000000000 z)> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt 5641895835477563/5000000000000000> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))> |
#<alt (* 5641895835477563/10000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* 5641895835477563/10000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt 5641895835477563/10000000000000000> |
#<alt (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))> |
#<alt (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))> |
#<alt (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))> |
#<alt (* 5641895835477563/30000000000000000 z)> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* 5641895835477563/30000000000000000 z)> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | z | @ | 0 | (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))) |
| 3.0ms | y | @ | -inf | (+ x (/ y (- 5641895835477563/5000000000000000 (* y x)))) |
| 2.0ms | x | @ | 0 | (+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))) |
| 1.0ms | y | @ | inf | (+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x))))) |
| 1.0ms | z | @ | 0 | (+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))) |
| 1× | batch-egg-rewrite |
| 5 264× | accelerator-lowering-fma.f32 |
| 5 264× | accelerator-lowering-fma.f64 |
| 5 106× | /-lowering-/.f32 |
| 5 106× | /-lowering-/.f64 |
| 5 046× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 174 |
| 1 | 219 | 170 |
| 2 | 2038 | 170 |
| 0 | 9881 | 149 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)))) |
(/ y (+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))) |
(+ (* y (neg x)) (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
(neg x) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x)))) |
(/ y (- 5641895835477563/5000000000000000 (* y x))) |
(- 5641895835477563/5000000000000000 (* y x)) |
(* y x) |
(+ x (/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x))))) |
(/ y (+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x)))) |
(+ (* z (+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000)) (- 5641895835477563/5000000000000000 (* y x))) |
(+ (* z (+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000)) 5641895835477563/5000000000000000) |
(* (exp (neg z)) (* 5000000000000000/5641895835477563 y)) |
(exp (neg z)) |
(neg z) |
(* 5000000000000000/5641895835477563 y) |
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) |
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(+ (* z 5641895835477563/30000000000000000) 5641895835477563/10000000000000000) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 (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 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (-.f64 (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 (*.f64 y y) (*.f64 (-.f64 (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 (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 y (-.f64 (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 (/.f64 (*.f64 y y) (*.f64 (-.f64 (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 (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 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) x))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) x) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) y x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 y (fma.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (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))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (fma.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 (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 x))) (*.f64 x (*.f64 y (*.f64 x y)))) x) |
(fma.f64 (/.f64 y (fma.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 (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))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) (-.f64 (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 x))) (*.f64 x (*.f64 y (*.f64 x y)))))) x) |
(fma.f64 (/.f64 y (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (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))))) (-.f64 (*.f64 y (neg.f64 x)) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x) |
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(-.f64 (/.f64 #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))) (/.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64)) (-.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) |
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(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/300000000000000000000000000000000 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/27000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)) (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal -31830988618379068626528276418969/100000000000000000000000000000000 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/27000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (*.f64 z #s(literal 31830988618379068626528276418969/300000000000000000000000000000000 binary64))))) |
(*.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/900000000000000000000000000000000 binary64) #s(literal -31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal -5641895835477563/10000000000000000 binary64)))) |
| 1× | egg-herbie |
| 9 054× | accelerator-lowering-fma.f32 |
| 9 054× | accelerator-lowering-fma.f64 |
| 5 940× | *-lowering-*.f32 |
| 5 940× | *-lowering-*.f64 |
| 4 436× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 959 | 7913 |
| 1 | 3062 | 7776 |
| 0 | 8184 | 6981 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(+ (* x (- (+ 1 (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(+ (* x (- (+ 1 (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) (pow x 3)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 4) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y)))))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 3) y)))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
x |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
(+ x (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) |
(+ x (* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))))) |
(- x (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y))))) |
(- (+ x (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* (pow x 2) (pow y 3))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* x (pow y 2))))))) |
(- x (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2))) y))) (/ 1 x)) |
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(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) x)) (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) (* (pow x 2) y)))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (pow x 2)))) y))) (/ 1 x)) |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3)))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) |
x |
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x |
(+ x (* 10000000000000000/5641895835477563 (/ y (pow z 2)))) |
(+ x (+ (* -20000000000000000/5641895835477563 (/ y (pow z 3))) (* 10000000000000000/5641895835477563 (/ y (pow z 2))))) |
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(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2)))) |
(* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))) |
(* y (+ (* y (- (* y (- (/ (* (pow x 3) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 4)) (* -1 (/ (pow x 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3))))) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))))) |
(/ -1 x) |
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(/ -1 x) |
(- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* (pow x 2) y))) (/ 1 x)) |
(- (* -1 (/ (- (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (* (pow x 3) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3) (* (pow x 4) y))) (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (pow x 3))) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (pow x 2)))) y)) (/ 1 x)) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(+ (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (/ (* x (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))) |
(+ (* x (- (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 3)) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))) |
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(/ -1 x) |
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)) x)) 1) x) |
(/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 2) y))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* x y))))) x) |
(/ (- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 3) (pow y 2)))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* x y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* (pow x 2) y)))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) (* x (pow y 2))) (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) y))) x)) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y))) x))) x)) |
(/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3)))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(* 10000000000000000/5641895835477563 (/ y (pow z 2))) |
(/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 100000000000000000000000000000000/31830988618379068626528276418969 (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) (pow z 2))) (* 10000000000000000/5641895835477563 y)) (* 20000000000000000/5641895835477563 (/ y z))) (pow z 2)) |
(/ (- (+ (* -1 (/ (+ (* -200000000000000000000000000000000/31830988618379068626528276418969 (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (* -2 (+ (* -40000000000000000/5641895835477563 y) (* 100000000000000000000000000000000/31830988618379068626528276418969 (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))))) (pow z 3))) (* 10000000000000000/5641895835477563 y)) (+ (* -40000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 100000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) (pow z 2))) (* 20000000000000000/5641895835477563 (/ y z))))) (pow z 2)) |
(* 10000000000000000/5641895835477563 (/ y (pow z 2))) |
(/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 100000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) z))) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -40000000000000000/5641895835477563 y) (* 100000000000000000000000000000000/31830988618379068626528276418969 (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) z)) (* 200000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) z))) (+ (* -40000000000000000/5641895835477563 y) (* 100000000000000000000000000000000/31830988618379068626528276418969 (* y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))))) z)) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)))) |
(* y (+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)))) |
(* y (+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) y)))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) y))))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) |
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) |
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))) x)))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) x))))) |
(+ 5641895835477563/5000000000000000 (* -1 (* x y))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* -1 (/ (* x y) (pow z 2))) (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* -1 (/ (* x y) (pow z 2))) (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) z)) 5641895835477563/5000000000000000) z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) z)) 5641895835477563/5000000000000000) 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) |
(* 5000000000000000/5641895835477563 y) |
(+ (* 5000000000000000/5641895835477563 y) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
(+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
(+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2)))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1))) |
x |
(+ x (* 5000000000000000/5641895835477563 y)) |
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))) |
(+ x (* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))) |
(- x (/ 1 x)) |
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x)) |
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(* 5000000000000000/5641895835477563 y) |
(* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))) |
(* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))))) |
(* y (+ 5000000000000000/5641895835477563 (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))))) |
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(/ -1 x) |
(* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y))))) |
(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y)) (/ 1 x)) |
(* 5000000000000000/5641895835477563 y) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) (* 5000000000000000/5641895835477563 y)) |
(+ (* 5000000000000000/5641895835477563 y) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
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(/ -1 x) |
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(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x) |
(/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3))))) (pow x 2))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x)) |
(* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x)) |
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5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* -1 (* x y))) |
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5641895835477563/5000000000000000 |
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(* x y) |
(* x y) |
(* x y) |
(* x y) |
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(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
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(* x y) |
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(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
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x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)) (pow x 3)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* (pow x 4) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 3) y)))))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 3) y)))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
x |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
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(- (+ x (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y))))) |
(- (+ x (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* (pow x 2) (pow y 3))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2))))))) |
(- x (/ 1 x)) |
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(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x y)))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) x)) (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* (pow x 2) y)))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 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 |
(+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3)))) |
(+ x (+ (* -90000000000000000/5641895835477563 (/ y (pow z 4))) (* 30000000000000000/5641895835477563 (/ y (pow z 3))))) |
(- (+ x (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 5))) (* 30000000000000000/5641895835477563 (/ y (pow z 3))))) (* 90000000000000000/5641895835477563 (/ y (pow z 4)))) |
x |
(+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3)))) |
(+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3)))) |
(+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3)))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2)))) |
(* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))) |
(* y (+ (* y (- (* y (- (/ (* (pow x 3) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 4)) (* -1 (/ (pow x 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))))) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))) |
(/ -1 x) |
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2))) y)) (/ 1 x)) |
(- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2)))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y))))) |
(- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* (pow x 2) (pow y 3)))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2))))))) |
(/ -1 x) |
(- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* (pow x 2) y))) (/ 1 x)) |
(- (* -1 (/ (- (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (* (pow x 3) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3) (* (pow x 4) y))) (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (pow x 3))) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 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)))) |
(* 30000000000000000/5641895835477563 (/ y (pow z 3))) |
(/ (+ (* -90000000000000000/5641895835477563 (/ y z)) (* 30000000000000000/5641895835477563 y)) (pow z 3)) |
(/ (- (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 2))) (* 30000000000000000/5641895835477563 y)) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3)) |
(/ (- (+ (* -1 (/ (+ (* -540000000000000000/5641895835477563 y) (+ (* -3 (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y))) (* 900000000000000000000000000000000/31830988618379068626528276418969 (* y (- 5641895835477563/5000000000000000 (* x y)))))) (pow z 3))) (* 30000000000000000/5641895835477563 y)) (+ (* -270000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 90000000000000000/5641895835477563 (/ y z)) (* 180000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 3)) |
(* 30000000000000000/5641895835477563 (/ y (pow z 3))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (* -1 (/ (- (+ (* -540000000000000000/5641895835477563 (/ y z)) (+ (* 3 (/ (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y)) z)) (* 900000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (- 5641895835477563/5000000000000000 (* x y))) z)))) (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y))) z)) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) (/ (* x (pow y 2)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))) |
(+ (* x (- (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3)) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(+ (* x (- (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))) |
(/ -1 x) |
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)) x)) 1) x) |
(/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* (pow x 2) y))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* x y))))) x) |
(/ (- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* (pow x 3) (pow y 2)))) (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* x y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* (pow x 2) y)))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* x (pow y 2))) (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) y))) x)) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 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)) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 3) (- (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow z 3))) (/ 5641895835477563/5000000000000000 (pow z 2))))) (/ (* x y) (pow z 3)))) |
(* 5641895835477563/30000000000000000 (pow z 3)) |
(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* -1 (/ (- (* -1 (/ (- 5641895835477563/5000000000000000 (* x y)) z)) 5641895835477563/5000000000000000) z))) z)) 5641895835477563/30000000000000000))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(* -1 (* x y)) |
(* y (- (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)) x)) |
(* y (- (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)) x)) |
(* y (- (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)) x)) |
(* -1 (* x y)) |
(* -1 (* y (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) y)) (* -1 x)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(* -1 (* x y)) |
(* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) x)) y)) |
(* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) x)) y)) |
(* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 x)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) x)) y)) |
(* -1 (* x y)) |
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)) (* -1 y)))) |
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))))) |
(* 5000000000000000/5641895835477563 y) |
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)) |
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z))))) |
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -2500000000000000/16925687506432689 (* y z)) (* 2500000000000000/5641895835477563 y)))))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* z (- (* 1/2 z) 1))) |
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) |
(exp (neg z)) |
(exp (neg z)) |
(exp (neg z)) |
(exp (neg z)) |
(exp (* -1 z)) |
(exp (* -1 z)) |
(exp (* -1 z)) |
(exp (* -1 z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(* 5641895835477563/10000000000000000 z) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5641895835477563/10000000000000000 z) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
5641895835477563/10000000000000000 |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(* 5641895835477563/30000000000000000 z) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* 5641895835477563/30000000000000000 z) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
| Outputs |
|---|
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/.f64 y (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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(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)) (* -1 y)))) |
(*.f64 x (-.f64 (/.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)) x) y)) |
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) x)) (* -1 y)))) |
(*.f64 x (-.f64 (/.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)) x) y)) |
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 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)) |
(* (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 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.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 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))) |
(* 5641895835477563/30000000000000000 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)) |
(* (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 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.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 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)))) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64))) |
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z))))) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z (fma.f64 y (*.f64 #s(literal 2500000000000000/5641895835477563 binary64) z) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))))) |
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -2500000000000000/16925687506432689 (* y z)) (* 2500000000000000/5641895835477563 y)))))) |
(fma.f64 z (fma.f64 y #s(literal -5000000000000000/5641895835477563 binary64) (*.f64 z (fma.f64 y #s(literal 2500000000000000/5641895835477563 binary64) (*.f64 (*.f64 y z) #s(literal -2500000000000000/16925687506432689 binary64))))) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (* -1 z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
(* 5000000000000000/5641895835477563 (* y (exp (neg z)))) |
(*.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 (neg.f64 z))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* z (- (* 1/2 z) 1))) |
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp (neg z)) |
(exp.f64 (neg.f64 z)) |
(exp (neg z)) |
(exp.f64 (neg.f64 z)) |
(exp (neg z)) |
(exp.f64 (neg.f64 z)) |
(exp (neg z)) |
(exp.f64 (neg.f64 z)) |
(exp (* -1 z)) |
(exp.f64 (neg.f64 z)) |
(exp (* -1 z)) |
(exp.f64 (neg.f64 z)) |
(exp (* -1 z)) |
(exp.f64 (neg.f64 z)) |
(exp (* -1 z)) |
(exp.f64 (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 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 (* 5641895835477563/10000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/10000000000000000 z) |
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) |
(* 5641895835477563/10000000000000000 z) |
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #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 (* 5641895835477563/10000000000000000 z)))) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z z)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z z)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)))) |
5641895835477563/10000000000000000 |
#s(literal 5641895835477563/10000000000000000 binary64) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
(+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
(* 5641895835477563/30000000000000000 z) |
(*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* 5641895835477563/30000000000000000 z) |
(*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
(* z (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z)))) |
(*.f64 z (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal 5641895835477563/10000000000000000 binary64) z))) |
Compiled 44 799 to 3 896 computations (91.3% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 170 | 9 | 1 179 |
| Fresh | 3 | 2 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 177 | 12 | 1 189 |
| Status | Accuracy | Program |
|---|---|---|
| 53.8% | (fma.f64 (/.f64 y (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) x) | |
| 52.5% | (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) | |
| 62.1% | (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) | |
| 18.0% | (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| ▶ | 88.6% | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y)))) |
| ▶ | 62.2% | (+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
| 64.3% | (+.f64 x (/.f64 #s(literal -1 binary64) x)) | |
| 17.6% | (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) | |
| ▶ | 17.8% | (*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
| ▶ | 17.7% | (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
| ▶ | 17.7% | (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
| ✓ | 68.5% | x |
Compiled 296 to 203 computations (31.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
| ✓ | cost-diff | 0 | (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y)) |
| ✓ | cost-diff | 0 | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y)))) |
| 16 146× | accelerator-lowering-fma.f32 |
| 16 146× | accelerator-lowering-fma.f64 |
| 3 736× | *-lowering-*.f32 |
| 3 736× | *-lowering-*.f64 |
| 2 286× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 184 |
| 1 | 83 | 184 |
| 2 | 202 | 184 |
| 3 | 534 | 184 |
| 4 | 1385 | 184 |
| 5 | 2332 | 184 |
| 6 | 4157 | 184 |
| 7 | 5936 | 182 |
| 8 | 7501 | 182 |
| 0 | 8012 | 156 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y)))) |
x |
(/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))) |
y |
(- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y)) |
(* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) |
5641895835477563/5000000000000000 |
(+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1) |
z |
(+ (* z (+ (* z 1/6) 1/2)) 1) |
(+ (* z 1/6) 1/2) |
1/6 |
1/2 |
1 |
(* x y) |
(* y 5000000000000000/5641895835477563) |
y |
5000000000000000/5641895835477563 |
(* (- 1 z) (* 5000000000000000/5641895835477563 y)) |
(- 1 z) |
1 |
z |
(* 5000000000000000/5641895835477563 y) |
5000000000000000/5641895835477563 |
y |
(+ x (/ y 5641895835477563/5000000000000000)) |
x |
(/ y 5641895835477563/5000000000000000) |
y |
5641895835477563/5000000000000000 |
(* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y)) |
(+ (* z (+ (* z 1/2) -1)) 1) |
z |
(+ (* z 1/2) -1) |
1/2 |
-1 |
1 |
(* 5000000000000000/5641895835477563 y) |
5000000000000000/5641895835477563 |
y |
| Outputs |
|---|
(+ x (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y)))) |
(-.f64 x (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -1/6 binary64)) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) (fma.f64 x y #s(literal -5641895835477563/5000000000000000 binary64))))) |
x |
(/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))) |
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -1/6 binary64)) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
y |
(- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y)) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -1/6 binary64)) #s(literal -5641895835477563/10000000000000000 binary64)) #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 x y))) |
(* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) #s(literal 5641895835477563/5000000000000000 binary64)) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1) |
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
z |
(+ (* z (+ (* z 1/6) 1/2)) 1) |
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ (* z 1/6) 1/2) |
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1 |
#s(literal 1 binary64) |
(* x y) |
(*.f64 x y) |
(* y 5000000000000000/5641895835477563) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
y |
5000000000000000/5641895835477563 |
#s(literal 5000000000000000/5641895835477563 binary64) |
(* (- 1 z) (* 5000000000000000/5641895835477563 y)) |
(*.f64 y (fma.f64 z #s(literal -5000000000000000/5641895835477563 binary64) #s(literal 5000000000000000/5641895835477563 binary64))) |
(- 1 z) |
(-.f64 #s(literal 1 binary64) z) |
1 |
#s(literal 1 binary64) |
z |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
5000000000000000/5641895835477563 |
#s(literal 5000000000000000/5641895835477563 binary64) |
y |
(+ x (/ y 5641895835477563/5000000000000000)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
x |
(/ y 5641895835477563/5000000000000000) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
y |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y)) |
(*.f64 y (fma.f64 z (fma.f64 z #s(literal 2500000000000000/5641895835477563 binary64) #s(literal -5000000000000000/5641895835477563 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(+ (* z (+ (* z 1/2) -1)) 1) |
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
z |
(+ (* z 1/2) -1) |
(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
-1 |
#s(literal -1 binary64) |
1 |
#s(literal 1 binary64) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
5000000000000000/5641895835477563 |
#s(literal 5000000000000000/5641895835477563 binary64) |
y |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
| ✓ | accuracy | 92.9% | (*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) z) |
| ✓ | accuracy | 99.8% | (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 97.7% | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y)) |
| ✓ | accuracy | 90.7% | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))) |
| 80.0ms | 256× | 0 | valid |
Compiled 163 to 33 computations (79.8% saved)
ival-mult: 32.0ms (51.4% of total)const: 16.0ms (25.7% of total)ival-add: 8.0ms (12.8% of total)ival-div: 4.0ms (6.4% of total)ival-sub: 2.0ms (3.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))))> |
#<alt (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y)))> |
#<alt (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))> |
#<alt (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1))> |
#<alt (* y 5000000000000000/5641895835477563)> |
#<alt (* (- 1 z) (* 5000000000000000/5641895835477563 y))> |
#<alt (- 1 z)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (/ y 5641895835477563/5000000000000000)> |
#<alt (+ x (/ y 5641895835477563/5000000000000000))> |
#<alt (* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y))> |
#<alt (+ (* z (+ (* z 1/2) -1)) 1)> |
#<alt (+ (* z 1/2) -1)> |
#<alt (+ (* z 1/6) 1/2)> |
#<alt (+ (* z (+ (* z 1/6) 1/2)) 1)> |
| Outputs |
|---|
#<alt (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))> |
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))))> |
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))))> |
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))))> |
#<alt x> |
#<alt (* x (- 1 (/ 1 (pow x 2))))> |
#<alt (* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y)))) (/ 1 (pow x 2))))> |
#<alt (* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y))) (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))> |
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))> |
#<alt x> |
#<alt (+ x (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))))> |
#<alt (+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))) (* 5000000000000000/5641895835477563 (/ 1 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))))))> |
#<alt (+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))))))> |
#<alt (- x (/ 1 x))> |
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y)))) (/ 1 x))> |
#<alt (- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y))) (/ 1 x)))> |
#<alt (- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))> |
#<alt (- x (/ 1 x))> |
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y)))) (/ 1 x))> |
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 3) y)))) y))) (/ 1 x))> |
#<alt (- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (pow x 2)))) y))) (/ 1 x))> |
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))> |
#<alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))> |
#<alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))> |
#<alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))> |
#<alt x> |
#<alt (+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3))))> |
#<alt (+ x (+ (* -90000000000000000/5641895835477563 (/ y (pow z 4))) (* 30000000000000000/5641895835477563 (/ y (pow z 3)))))> |
#<alt (- (+ x (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 5))) (* 30000000000000000/5641895835477563 (/ y (pow z 3))))) (* 90000000000000000/5641895835477563 (/ y (pow z 4))))> |
#<alt x> |
#<alt (+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3))))> |
#<alt (+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))))> |
#<alt (+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))))> |
#<alt (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))> |
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#<alt (* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))))> |
#<alt (* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))))> |
#<alt (* 2500000000000000/5641895835477563 (* y (pow z 2)))> |
#<alt (* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 2500000000000000/5641895835477563 y)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 2500000000000000/5641895835477563 y)))> |
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))> |
#<alt (* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 z))> |
#<alt (+ 1 (* z (- (* 1/2 z) 1)))> |
#<alt (+ 1 (* z (- (* 1/2 z) 1)))> |
#<alt (* 1/2 (pow z 2))> |
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))> |
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))> |
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))> |
#<alt (* 1/2 (pow z 2))> |
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))> |
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))> |
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))> |
#<alt -1> |
#<alt (- (* 1/2 z) 1)> |
#<alt (- (* 1/2 z) 1)> |
#<alt (- (* 1/2 z) 1)> |
#<alt (* 1/2 z)> |
#<alt (* z (- 1/2 (/ 1 z)))> |
#<alt (* z (- 1/2 (/ 1 z)))> |
#<alt (* z (- 1/2 (/ 1 z)))> |
#<alt (* 1/2 z)> |
#<alt (* -1 (* z (- (/ 1 z) 1/2)))> |
#<alt (* -1 (* z (- (/ 1 z) 1/2)))> |
#<alt (* -1 (* z (- (/ 1 z) 1/2)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 z))> |
#<alt (+ 1/2 (* 1/6 z))> |
#<alt (+ 1/2 (* 1/6 z))> |
#<alt (* 1/6 z)> |
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))> |
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))> |
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))> |
#<alt (* 1/6 z)> |
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))> |
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))> |
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 z))> |
#<alt (+ 1 (* z (+ 1/2 (* 1/6 z))))> |
#<alt (+ 1 (* z (+ 1/2 (* 1/6 z))))> |
#<alt (* 1/6 (pow z 2))> |
#<alt (* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))> |
#<alt (* 1/6 (pow z 2))> |
#<alt (* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | 0 | (* (- 1 z) (* 5000000000000000/5641895835477563 y)) |
| 3.0ms | x | @ | 0 | (+ x (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y)))) |
| 1.0ms | y | @ | 0 | (* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y)) |
| 1.0ms | y | @ | inf | (+ x (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y)))) |
| 1.0ms | y | @ | -inf | (+ x (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y)))) |
| 1× | batch-egg-rewrite |
| 4 922× | accelerator-lowering-fma.f32 |
| 4 922× | accelerator-lowering-fma.f64 |
| 4 854× | /-lowering-/.f32 |
| 4 854× | /-lowering-/.f64 |
| 4 168× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 143 |
| 1 | 201 | 143 |
| 2 | 1825 | 143 |
| 0 | 8560 | 122 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y))) |
(- (* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) (* x y)) |
(* 5641895835477563/5000000000000000 (+ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) 1)) |
(* y 5000000000000000/5641895835477563) |
(* (- 1 z) (* 5000000000000000/5641895835477563 y)) |
(- 1 z) |
(* 5000000000000000/5641895835477563 y) |
(/ y 5641895835477563/5000000000000000) |
(+ x (/ y 5641895835477563/5000000000000000)) |
(* (+ (* z (+ (* z 1/2) -1)) 1) (* 5000000000000000/5641895835477563 y)) |
(+ (* z (+ (* z 1/2) -1)) 1) |
(+ (* z 1/2) -1) |
(+ (* z 1/6) 1/2) |
(+ (* z (+ (* z 1/6) 1/2)) 1) |
| Outputs |
|---|
(+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) |
(+.f64 (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (-.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (-.f64 (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) y))) x) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) y x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x) |
(fma.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x) |
(fma.f64 (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (neg.f64 y))))) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x y) (fma.f64 x y (fma.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
(fma.f64 (/.f64 y (fma.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x y) (fma.f64 x y (fma.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))))) x) |
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))))) (fma.f64 x y (fma.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) x) |
(fma.f64 (/.f64 y (fma.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 y (*.f64 x y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (-.f64 (*.f64 x x) (/.f64 (*.f64 x y) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (*.f64 (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
(*.f64 (fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) |
| 1× | egg-herbie |
| 6 690× | accelerator-lowering-fma.f32 |
| 6 690× | accelerator-lowering-fma.f64 |
| 5 190× | *-lowering-*.f32 |
| 5 190× | *-lowering-*.f64 |
| 2 574× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 530 | 4384 |
| 1 | 1559 | 4337 |
| 2 | 4794 | 4232 |
| 0 | 8223 | 3732 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2)))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
x |
(+ x (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))) |
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))) (* 5000000000000000/5641895835477563 (/ 1 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))))) |
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))))) |
(- x (/ 1 x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y)))) (/ 1 x)) |
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y))) (/ 1 x))) |
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 3) (pow y 2)))) (/ 1 x)))) |
(- x (/ 1 x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y)))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 3) y)))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 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))))) |
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(* 5000000000000000/5641895835477563 y) |
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)) |
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z))))) |
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 (* y z))))) |
(* 2500000000000000/5641895835477563 (* y (pow z 2))) |
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y))) |
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2)))))) |
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 2500000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2)))))) |
(* 2500000000000000/5641895835477563 (* y (pow z 2))) |
(* (pow z 2) (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 2500000000000000/5641895835477563 y))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 2500000000000000/5641895835477563 y))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)) (* 2500000000000000/5641895835477563 y))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
(* 5000000000000000/5641895835477563 (* y (+ 1 (* z (- (* 1/2 z) 1))))) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* z (- (* 1/2 z) 1))) |
(+ 1 (* z (- (* 1/2 z) 1))) |
(* 1/2 (pow z 2)) |
(* (pow z 2) (- 1/2 (/ 1 z))) |
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))) |
(* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z))) |
(* 1/2 (pow z 2)) |
(* (pow z 2) (- 1/2 (/ 1 z))) |
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z)))) |
(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z)))) |
-1 |
(- (* 1/2 z) 1) |
(- (* 1/2 z) 1) |
(- (* 1/2 z) 1) |
(* 1/2 z) |
(* z (- 1/2 (/ 1 z))) |
(* z (- 1/2 (/ 1 z))) |
(* z (- 1/2 (/ 1 z))) |
(* 1/2 z) |
(* -1 (* z (- (/ 1 z) 1/2))) |
(* -1 (* z (- (/ 1 z) 1/2))) |
(* -1 (* z (- (/ 1 z) 1/2))) |
1/2 |
(+ 1/2 (* 1/6 z)) |
(+ 1/2 (* 1/6 z)) |
(+ 1/2 (* 1/6 z)) |
(* 1/6 z) |
(* z (+ 1/6 (* 1/2 (/ 1 z)))) |
(* z (+ 1/6 (* 1/2 (/ 1 z)))) |
(* z (+ 1/6 (* 1/2 (/ 1 z)))) |
(* 1/6 z) |
(* z (+ 1/6 (* 1/2 (/ 1 z)))) |
(* z (+ 1/6 (* 1/2 (/ 1 z)))) |
(* z (+ 1/6 (* 1/2 (/ 1 z)))) |
1 |
(+ 1 (* 1/2 z)) |
(+ 1 (* z (+ 1/2 (* 1/6 z)))) |
(+ 1 (* z (+ 1/2 (* 1/6 z)))) |
(* 1/6 (pow z 2)) |
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z)))) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(* 1/6 (pow z 2)) |
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z)))) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
| Outputs |
|---|
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) |
(/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2)))))) |
(fma.f64 x (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2)))))) |
(fma.f64 x (fma.f64 x (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2)))))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(fma.f64 x (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 y (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 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 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(fma.f64 x (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y x)))) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))) (*.f64 x (*.f64 x x)))) (neg.f64 x) x) |
x |
(+ x (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) x) |
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))) (* 5000000000000000/5641895835477563 (/ 1 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))))) |
(fma.f64 y (fma.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (/.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) x) |
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))))) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (/.f64 x (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 x x)) y) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) x) |
(- x (/ 1 x)) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y)))) (/ 1 x)) |
(+.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64)) x)) |
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y))) (/ 1 x))) |
(+.f64 x (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 y (*.f64 y x))))) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64))) x)) |
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 3) (pow y 2)))) (/ 1 x)))) |
(+.f64 (fma.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (/.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) x) (/.f64 (fma.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 y (*.f64 y x))))) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64))) x)) |
(- x (/ 1 x)) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* (pow x 2) y)))) (/ 1 x)) |
(+.f64 x (/.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64)) x)) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) 2) (* (pow x 3) y)))) y))) (/ 1 x)) |
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(+ 1 (* z (+ 1/2 (* 1/6 z)))) |
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* z (+ 1/2 (* 1/6 z)))) |
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow z 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 z z)) |
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z)))) |
(*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow z 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 z z)) |
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z)))) |
(*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2))))) |
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
Compiled 27 632 to 2 819 computations (89.8% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 997 | 4 | 1 001 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 998 | 15 | 1 013 |
| Status | Accuracy | Program |
|---|---|---|
| 53.8% | (fma.f64 (/.f64 y (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) x) | |
| ▶ | 52.5% | (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
| ▶ | 62.1% | (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
| 17.7% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 5641895835477563/5000000000000000 binary64)) | |
| ▶ | 18.0% | (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| ▶ | 17.8% | (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | 88.6% | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y)))) |
| ▶ | 64.3% | (+.f64 x (/.f64 #s(literal -1 binary64) x)) |
| 17.6% | (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) | |
| ✓ | 17.8% | (*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
| ✓ | 17.7% | (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
| 3.0% | (*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)) | |
| 3.0% | (*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) | |
| ✓ | 17.7% | (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
| ✓ | 68.5% | x |
Compiled 293 to 204 computations (30.4% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (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 y (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 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
| ✓ | cost-diff | 384 | (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 #s(literal -1 binary64) x)) |
| 208× | accelerator-lowering-fma.f32 |
| 208× | accelerator-lowering-fma.f64 |
| 180× | *-lowering-*.f32 |
| 180× | *-lowering-*.f64 |
| 70× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 77 |
| 1 | 48 | 77 |
| 2 | 86 | 77 |
| 3 | 121 | 77 |
| 4 | 131 | 77 |
| 5 | 135 | 77 |
| 6 | 141 | 77 |
| 7 | 141 | 77 |
| 8 | 178 | 77 |
| 9 | 178 | 77 |
| 10 | 192 | 77 |
| 11 | 198 | 77 |
| 12 | 205 | 77 |
| 0 | 205 | 68 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ x (/ -1 x)) |
x |
(/ -1 x) |
-1 |
(+ (* y 5000000000000000/5641895835477563) x) |
y |
5000000000000000/5641895835477563 |
x |
(/ y 5641895835477563/5000000000000000) |
y |
5641895835477563/5000000000000000 |
(+ (* y (+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)) x) |
y |
(+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563) |
(* x 25000000000000000000000000000000/31830988618379068626528276418969) |
x |
25000000000000000000000000000000/31830988618379068626528276418969 |
5000000000000000/5641895835477563 |
(/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
y |
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
z |
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) |
5641895835477563/10000000000000000 |
5641895835477563/5000000000000000 |
| Outputs |
|---|
(+ x (/ -1 x)) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
x |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
-1 |
#s(literal -1 binary64) |
(+ (* y 5000000000000000/5641895835477563) x) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
y |
5000000000000000/5641895835477563 |
#s(literal 5000000000000000/5641895835477563 binary64) |
x |
(/ y 5641895835477563/5000000000000000) |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
y |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+ (* y (+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)) x) |
(fma.f64 y (fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 x y) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
y |
(+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563) |
(fma.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 x y) #s(literal 5000000000000000/5641895835477563 binary64)) |
(* x 25000000000000000000000000000000/31830988618379068626528276418969) |
(*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) |
x |
25000000000000000000000000000000/31830988618379068626528276418969 |
#s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) |
5000000000000000/5641895835477563 |
#s(literal 5000000000000000/5641895835477563 binary64) |
(/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
y |
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
5641895835477563/10000000000000000 |
#s(literal 5641895835477563/10000000000000000 binary64) |
5641895835477563/5000000000000000 |
#s(literal 5641895835477563/5000000000000000 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 93.9% | (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
| ✓ | accuracy | 99.6% | (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 #s(literal -1 binary64) x)) |
| 71.0ms | 256× | 0 | valid |
Compiled 70 to 25 computations (64.3% saved)
const: 15.0ms (40.4% of total)ival-mult: 9.0ms (24.2% of total)ival-add: 7.0ms (18.8% of total)ival-div: 6.0ms (16.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (/ -1 x))> |
#<alt (/ -1 x)> |
#<alt (+ (* y 5000000000000000/5641895835477563) x)> |
#<alt (/ y 5641895835477563/5000000000000000)> |
#<alt (+ (* y (+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)) x)> |
#<alt (+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)> |
#<alt (* x 25000000000000000000000000000000/31830988618379068626528276418969)> |
#<alt (/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000))> |
#<alt (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)> |
#<alt (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)> |
| Outputs |
|---|
#<alt (/ -1 x)> |
#<alt (/ (- (pow x 2) 1) x)> |
#<alt (/ (- (pow x 2) 1) x)> |
#<alt (/ (- (pow x 2) 1) x)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 (pow x 2))))> |
#<alt (* x (- 1 (/ 1 (pow x 2))))> |
#<alt (* x (- 1 (/ 1 (pow x 2))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))> |
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))> |
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt (/ -1 x)> |
#<alt x> |
#<alt (+ x (* 5000000000000000/5641895835477563 y))> |
#<alt (+ x (* 5000000000000000/5641895835477563 y))> |
#<alt (+ x (* 5000000000000000/5641895835477563 y))> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* y (+ 5000000000000000/5641895835477563 (/ x y)))> |
#<alt (* y (+ 5000000000000000/5641895835477563 (/ x y)))> |
#<alt (* y (+ 5000000000000000/5641895835477563 (/ x y)))> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563)))> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (+ x (* 5000000000000000/5641895835477563 y))> |
#<alt (+ x (* 5000000000000000/5641895835477563 y))> |
#<alt (+ x (* 5000000000000000/5641895835477563 y))> |
#<alt x> |
#<alt (* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))> |
#<alt (* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))> |
#<alt (* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1)))> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt x> |
#<alt (+ x (* 5000000000000000/5641895835477563 y))> |
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))> |
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))> |
#<alt (* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (+ (* 5000000000000000/5641895835477563 (/ 1 y)) (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (+ (* 5000000000000000/5641895835477563 (/ 1 y)) (/ x (pow y 2)))))> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 5000000000000000/5641895835477563) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 5000000000000000/5641895835477563) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x)))> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))> |
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))> |
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))> |
#<alt (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))> |
#<alt (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* 5000000000000000/5641895835477563 (/ y x)))))> |
#<alt (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* 5000000000000000/5641895835477563 (/ y x)))))> |
#<alt (* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* 5000000000000000/5641895835477563 (/ y x)))))> |
#<alt (* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (+ (* -5000000000000000/5641895835477563 (/ y x)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))) 1)))> |
#<alt (* -1 (* x (- (+ (* -5000000000000000/5641895835477563 (/ y x)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))) 1)))> |
#<alt (* -1 (* x (- (+ (* -5000000000000000/5641895835477563 (/ y x)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))) 1)))> |
#<alt 5000000000000000/5641895835477563> |
#<alt (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))> |
#<alt (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))> |
#<alt (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))> |
#<alt (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))> |
#<alt (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))> |
#<alt (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))> |
#<alt (* -1 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))))> |
#<alt (* -1 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))))> |
#<alt (* -1 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))))> |
#<alt 5000000000000000/5641895835477563> |
#<alt (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))> |
#<alt (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))> |
#<alt (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))> |
#<alt (* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x))))> |
#<alt (* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x))))> |
#<alt (* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x))))> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))> |
#<alt (* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x)))))> |
#<alt (* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x)))))> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)> |
#<alt (* 25000000000000000000000000000000/31830988618379068626528276418969 x)> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))> |
#<alt (* 5000000000000000/5641895835477563 y)> |
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))> |
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (- (* -1 (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))> |
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y))) (* -2500000000000000/5641895835477563 y)))) (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))> |
#<alt (* 10000000000000000/5641895835477563 (/ y (pow z 2)))> |
#<alt (/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) (pow z 2))) (* 10000000000000000/5641895835477563 y)) (* 20000000000000000/5641895835477563 (/ y z))) (pow z 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* -2 (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)))) (pow z 3))) (* 10000000000000000/5641895835477563 y)) (+ (* -40000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 20000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 2))> |
#<alt (* 10000000000000000/5641895835477563 (/ y (pow z 2)))> |
#<alt (/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y z))) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) z)) (* 40000000000000000/5641895835477563 (/ y z))) (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y))) z)) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))> |
#<alt 5641895835477563/5000000000000000> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))> |
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))> |
#<alt (* 5641895835477563/10000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* 5641895835477563/10000000000000000 (pow z 2))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))> |
#<alt 5641895835477563/5000000000000000> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))> |
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))> |
#<alt (* 5641895835477563/10000000000000000 z)> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* 5641895835477563/10000000000000000 z)> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
| 1.0ms | y | @ | 0 | (/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
| 1.0ms | y | @ | -inf | (/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
| 1.0ms | x | @ | -inf | (+ (* y (+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)) x) |
| 0.0ms | y | @ | -inf | (+ (* y (+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)) x) |
| 1× | batch-egg-rewrite |
| 6 436× | accelerator-lowering-fma.f32 |
| 6 436× | accelerator-lowering-fma.f64 |
| 3 954× | *-lowering-*.f32 |
| 3 954× | *-lowering-*.f64 |
| 3 576× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 62 |
| 1 | 139 | 62 |
| 2 | 1130 | 62 |
| 0 | 8523 | 53 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ -1 x)) |
(/ -1 x) |
(+ (* y 5000000000000000/5641895835477563) x) |
(/ y 5641895835477563/5000000000000000) |
(+ (* y (+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563)) x) |
(+ (* y (* x 25000000000000000000000000000000/31830988618379068626528276418969)) 5000000000000000/5641895835477563) |
(* x 25000000000000000000000000000000/31830988618379068626528276418969) |
(/ y (+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000)) |
(+ (* z (+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000)) 5641895835477563/5000000000000000) |
(+ (* z 5641895835477563/10000000000000000) 5641895835477563/5000000000000000) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (/.f64 #s(literal -1 binary64) x) x) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1 binary64) x))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) x) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) x) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 x x (/.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x (/.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1 binary64) x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x x (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 x)) |
(pow.f64 (neg.f64 x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(+.f64 x (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(+.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(+.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x)))) |
(-.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)))) (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y)) (+.f64 x (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -5000000000000000/5641895835477563 binary64)) x) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) #s(literal 1 binary64) x) |
(fma.f64 (neg.f64 y) #s(literal -5000000000000000/5641895835477563 binary64) x) |
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(*.f64 (neg.f64 (fma.f64 (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.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 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.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 5641895835477563/5000000000000000 binary64) (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 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 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 (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (neg.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(*.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.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))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))) |
(+.f64 (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))) |
(-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64)))) (/.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))))) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (neg.f64 (+.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64)))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (+.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))) (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64))))) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (+.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64)))) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64))))) |
(/.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(/.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64))) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (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)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (*.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 (neg.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)))) (neg.f64 (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)))) (neg.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (fma.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64)))) (*.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64)) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal -5641895835477563/5000000000000000 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64))))) |
(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) (*.f64 z #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64)))))) |
(*.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 179587122125166574152748016388400639365587092547/1000000000000000000000000000000000000000000000000 binary64) #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 z #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(*.f64 (-.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (*.f64 z z) #s(literal 31830988618379068626528276418969/100000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal -5641895835477563/10000000000000000 binary64))))) |
| 1× | egg-herbie |
| 16 628× | accelerator-lowering-fma.f32 |
| 16 628× | accelerator-lowering-fma.f64 |
| 3 048× | *-lowering-*.f32 |
| 3 048× | *-lowering-*.f64 |
| 1 652× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 1098 |
| 1 | 561 | 1092 |
| 2 | 1625 | 1040 |
| 3 | 6098 | 1040 |
| 0 | 8406 | 912 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 x) |
(/ (- (pow x 2) 1) x) |
(/ (- (pow x 2) 1) x) |
(/ (- (pow x 2) 1) x) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- 1 (/ 1 (pow x 2)))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
x |
(+ x (* 5000000000000000/5641895835477563 y)) |
(+ x (* 5000000000000000/5641895835477563 y)) |
(+ x (* 5000000000000000/5641895835477563 y)) |
(* 5000000000000000/5641895835477563 y) |
(* y (+ 5000000000000000/5641895835477563 (/ x y))) |
(* y (+ 5000000000000000/5641895835477563 (/ x y))) |
(* y (+ 5000000000000000/5641895835477563 (/ x y))) |
(* 5000000000000000/5641895835477563 y) |
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563))) |
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563))) |
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563))) |
(* 5000000000000000/5641895835477563 y) |
(+ x (* 5000000000000000/5641895835477563 y)) |
(+ x (* 5000000000000000/5641895835477563 y)) |
(+ x (* 5000000000000000/5641895835477563 y)) |
x |
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x)))) |
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x)))) |
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x)))) |
x |
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1))) |
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1))) |
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1))) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
(* 5000000000000000/5641895835477563 y) |
x |
(+ x (* 5000000000000000/5641895835477563 y)) |
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))) |
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) |
(* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))) |
(* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (+ (* 5000000000000000/5641895835477563 (/ 1 y)) (/ x (pow y 2))))) |
(* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (+ (* 5000000000000000/5641895835477563 (/ 1 y)) (/ x (pow y 2))))) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) |
(* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 5000000000000000/5641895835477563) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 5000000000000000/5641895835477563) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) |
(* 5000000000000000/5641895835477563 y) |
(+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
(+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
(+ (* 5000000000000000/5641895835477563 y) (* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))))) |
(* x (+ 1 (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))) |
(* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* 5000000000000000/5641895835477563 (/ y x))))) |
(* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* 5000000000000000/5641895835477563 (/ y x))))) |
(* x (+ 1 (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) (* 5000000000000000/5641895835477563 (/ y x))))) |
(* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -5000000000000000/5641895835477563 (/ y x)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -5000000000000000/5641895835477563 (/ y x)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -5000000000000000/5641895835477563 (/ y x)) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2))) 1))) |
5000000000000000/5641895835477563 |
(+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))) |
(+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))) |
(+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) |
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))) |
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))) |
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) |
(* -1 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))) |
(* -1 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))) |
(* -1 (* y (- (* -25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y))))) |
5000000000000000/5641895835477563 |
(+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))) |
(+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))) |
(+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) |
(* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x)))) |
(* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x)))) |
(* x (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x)))) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)) |
(* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x))))) |
(* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x))))) |
(* -1 (* x (- (* -25000000000000000000000000000000/31830988618379068626528276418969 y) (* 5000000000000000/5641895835477563 (/ 1 x))))) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 x) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 x) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 x) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 x) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 x) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 x) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 x) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 x) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 x) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 x) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 x) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 x) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(* 5000000000000000/5641895835477563 y) |
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y)) |
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* -1 (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y)))) |
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y))) (* -2500000000000000/5641895835477563 y)))) (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y)))) |
(* 10000000000000000/5641895835477563 (/ y (pow z 2))) |
(/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) (pow z 2))) (* 10000000000000000/5641895835477563 y)) (* 20000000000000000/5641895835477563 (/ y z))) (pow z 2)) |
(/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* -2 (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)))) (pow z 3))) (* 10000000000000000/5641895835477563 y)) (+ (* -40000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 20000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 2)) |
(* 10000000000000000/5641895835477563 (/ y (pow z 2))) |
(/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y z))) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) z)) (* 40000000000000000/5641895835477563 (/ y z))) (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y))) z)) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2)) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(* 5641895835477563/10000000000000000 z) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* 5641895835477563/10000000000000000 z) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
| Outputs |
|---|
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (pow x 2) 1) x) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(/ (- (pow x 2) 1) x) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(/ (- (pow x 2) 1) x) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(* x (- 1 (/ 1 (pow x 2)))) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(* x (- 1 (/ 1 (pow x 2)))) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
x |
(+ x (* 5000000000000000/5641895835477563 y)) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(+ x (* 5000000000000000/5641895835477563 y)) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(+ x (* 5000000000000000/5641895835477563 y)) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(* y (+ 5000000000000000/5641895835477563 (/ x y))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(* y (+ 5000000000000000/5641895835477563 (/ x y))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(* y (+ 5000000000000000/5641895835477563 (/ x y))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(* -1 (* y (- (* -1 (/ x y)) 5000000000000000/5641895835477563))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(+ x (* 5000000000000000/5641895835477563 y)) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(+ x (* 5000000000000000/5641895835477563 y)) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(+ x (* 5000000000000000/5641895835477563 y)) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
x |
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x)))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x)))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(* x (+ 1 (* 5000000000000000/5641895835477563 (/ y x)))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
x |
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(* -1 (* x (- (* -5000000000000000/5641895835477563 (/ y x)) 1))) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
(* 5000000000000000/5641895835477563 y) |
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) |
x |
(+ x (* 5000000000000000/5641895835477563 y)) |
(fma.f64 #s(literal 5000000000000000/5641895835477563 binary64) y x) |
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))) |
(fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))) |
(fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y))) |
(* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))) |
(*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (+ (* 5000000000000000/5641895835477563 (/ 1 y)) (/ x (pow y 2))))) |
(fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (+ (* 5000000000000000/5641895835477563 (/ 1 y)) (/ x (pow y 2))))) |
(fma.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) |
(*.f64 x (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y y))) |
(* (pow y 2) (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 x) (* 5000000000000000/5641895835477563 (/ 1 y)))) |
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(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x y)) 5000000000000000/5641895835477563) y)) (* 25000000000000000000000000000000/31830988618379068626528276418969 x))) |
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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)) |
(* 5641895835477563/10000000000000000 (pow z 2)) |
(*.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z z)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(*.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2))))) |
(fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #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 (* 5641895835477563/10000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/10000000000000000 z) |
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* 5641895835477563/10000000000000000 z) |
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z)))) |
(fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
Compiled 10 425 to 1 086 computations (89.6% saved)
15 alts after pruning (7 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 530 | 5 | 535 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 535 | 15 | 550 |
| Status | Accuracy | Program |
|---|---|---|
| 39.5% | (fma.f64 y (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (fma.f64 x (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) y) #s(literal -5000000000000000/5641895835477563 binary64))) x) | |
| ✓ | 62.1% | (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
| ✓ | 18.0% | (/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
| 18.1% | (/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| ✓ | 17.8% | (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
| 16.8% | (/.f64 #s(literal -1 binary64) x) | |
| ✓ | 88.6% | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y)))) |
| ✓ | 64.3% | (+.f64 x (/.f64 #s(literal -1 binary64) x)) |
| 17.6% | (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) | |
| ✓ | 17.8% | (*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
| 3.0% | (*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)) | |
| 18.3% | (*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))) | |
| 17.7% | (*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) | |
| ✓ | 17.7% | (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
| ✓ | 68.5% | x |
Compiled 455 to 230 computations (49.5% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)) |
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 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)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y)))) |
(fma.f64 y (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64)) #s(literal -25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (fma.f64 x (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) y) #s(literal -5000000000000000/5641895835477563 binary64))) x) |
(fma.f64 (/.f64 y (+.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64)) x) |
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(fma.f64 (exp.f64 (neg.f64 z)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
(/.f64 (fma.f64 (*.f64 y (neg.f64 y)) (pow.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 x (/.f64 y (fma.f64 x y (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y)))) |
x |
6 calls:
| 39.0ms | (exp.f64 z) |
| 37.0ms | z |
| 9.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 9.0ms | x |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 2 | x |
| 94.2% | 1 | y |
| 99.9% | 3 | z |
| 99.9% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 99.9% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.9% | 3 | (exp.f64 z) |
Compiled 39 to 29 computations (25.6% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)) |
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 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)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 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)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
x |
4 calls:
| 13.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 7.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 7.0ms | z |
| 6.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 99.9% | 3 | z |
| 99.9% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.9% | 3 | (exp.f64 z) |
Compiled 31 to 23 computations (25.8% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)) |
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
3 calls:
| 12.0ms | (exp.f64 z) |
| 7.0ms | z |
| 5.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | z |
| 98.3% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 98.3% | 2 | (exp.f64 z) |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)) |
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
x |
3 calls:
| 46.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 6.0ms | z |
| 5.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | z |
| 99.8% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.8% | 3 | (exp.f64 z) |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)) |
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(/.f64 y (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
x |
3 calls:
| 6.0ms | z |
| 5.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 5.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | z |
| 99.6% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.6% | 3 | (exp.f64 z) |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)) |
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 y (fma.f64 x (*.f64 y #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 y (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) #s(literal 5000000000000000/5641895835477563 binary64)) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) |
x |
6 calls:
| 51.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 40.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 5.0ms | z |
| 5.0ms | y |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 5 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 83.1% | 3 | y |
| 78.5% | 3 | x |
| 87.3% | 3 | z |
| 87.3% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 87.3% | 3 | (exp.f64 z) |
Compiled 39 to 29 computations (25.6% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)) |
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
x |
3 calls:
| 48.0ms | z |
| 3.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 3.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 3 | z |
| 87.2% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 87.2% | 3 | (exp.f64 z) |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
(*.f64 (*.f64 y z) #s(literal -5000000000000000/5641895835477563 binary64)) |
(*.f64 y (fma.f64 #s(literal -5000000000000000/5641895835477563 binary64) z #s(literal 5000000000000000/5641895835477563 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 (neg.f64 z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)) |
| Outputs |
|---|
x |
(fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) |
x |
5 calls:
| 54.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 4.0ms | y |
| 3.0ms | z |
| 3.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 3.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | y |
| 70.4% | 2 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 79.3% | 3 | z |
| 79.3% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 79.3% | 3 | (exp.f64 z) |
Compiled 35 to 26 computations (25.7% saved)
| Inputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
| Outputs |
|---|
x |
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) |
x |
5 calls:
| 2.0ms | z |
| 2.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 1.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 1 | y |
| 74.0% | 3 | x |
| 68.5% | 1 | z |
| 68.5% | 1 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 68.5% | 1 | (exp.f64 z) |
Compiled 24 to 19 computations (20.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
2 calls:
| 1.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 1 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 68.5% | 1 | x |
Compiled 19 to 13 computations (31.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2267949353929906 | +inf |
| 0.0ms | 0.0 | 5.036732595230231e-28 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2267949353929906 | +inf |
| 0.0ms | 0.0 | 5.036732595230231e-28 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.036732595230231e-28 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2267949353929906 | +inf |
| 0.0ms | 0.0 | 5.036732595230231e-28 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2267949353929906 | +inf |
| 0.0ms | 0.0 | 5.036732595230231e-28 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000932452 | 1.0000000098821293 |
| 0.0ms | 0.9085958582554848 | 0.9999991443982672 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000932452 | 1.0000000098821293 |
| 0.0ms | 0.9085958582554848 | 0.9999991443982672 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000932452 | 1.0000000098821293 |
| 0.0ms | 0.9085958582554848 | 0.9999991443982672 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 7.607768130318575e-153 | 5.039374989649328e-149 |
| 62.0ms | -1.0606860698089117e-204 | -2.257794329120875e-215 |
| 97.0ms | 288× | 0 | valid |
Compiled 234 to 196 computations (16.2% saved)
ival-div: 77.0ms (85.6% of total)ival-mult: 4.0ms (4.4% of total)const: 4.0ms (4.4% of total)ival-exp: 2.0ms (2.2% of total)ival-sub: 1.0ms (1.1% of total)ival-add: 1.0ms (1.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 24× | +-commutative_binary64 |
| 12× | *-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 8× | cancel-sign-sub-inv_binary64 |
| 6× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 219 |
| 1 | 103 | 219 |
| 2 | 115 | 219 |
| 3 | 120 | 219 |
| 4 | 122 | 219 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y)))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 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)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2251799824944247/2251799813685248 binary64)) (+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2251799824944247/2251799813685248 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 4278419646001971/4503599627370496 binary64)) x (if (<=.f64 (exp.f64 z) #s(literal 2251799824944247/2251799813685248 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) x)) |
(if (<=.f64 x #s(literal -5459700074538101/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832 binary64)) x (if (<=.f64 x #s(literal 5307134659905293/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x)) |
x |
| Outputs |
|---|
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y)))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 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)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 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)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z (fma.f64 z #s(literal 5641895835477563/10000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (fma.f64 y (neg.f64 x) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2251799824944247/2251799813685248 binary64)) (+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2251799824944247/2251799813685248 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 4278419646001971/4503599627370496 binary64)) x (if (<=.f64 (exp.f64 z) #s(literal 2251799824944247/2251799813685248 binary64)) (fma.f64 y #s(literal 5000000000000000/5641895835477563 binary64) x) x)) |
(if (<=.f64 x #s(literal -5459700074538101/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832 binary64)) x (if (<=.f64 x #s(literal 5307134659905293/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) x)) |
x |
| 9 054× | accelerator-lowering-fma.f32 |
| 9 054× | accelerator-lowering-fma.f64 |
| 8 782× | accelerator-lowering-fma.f32 |
| 8 782× | accelerator-lowering-fma.f64 |
| 5 940× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 959 | 7913 |
| 1 | 3062 | 7776 |
| 0 | 8184 | 6981 |
| 0 | 316 | 1999 |
| 1 | 904 | 1979 |
| 2 | 2644 | 1891 |
| 0 | 8336 | 1801 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 479 to 250 computations (47.8% saved)
Compiled 504 to 186 computations (63.1% saved)
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