
Time bar (total: 11.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 15.6% | 15.6% | 84.3% | 0.1% | 0% | 0% | 0% | 8 |
| 28.1% | 28.1% | 71.8% | 0.1% | 0% | 0% | 0% | 9 |
| 30.5% | 30.4% | 69.5% | 0.1% | 0% | 0% | 0% | 10 |
| 38.3% | 38.2% | 61.7% | 0.1% | 0% | 0% | 0% | 11 |
| 39.6% | 39.6% | 60.3% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 15 to 10 computations (33.3% saved)
| 908.0ms | 4 102× | 1 | valid |
| 385.0ms | 4 154× | 0 | valid |
ival-div: 284.0ms (29.1% of total)ival-tan: 248.0ms (25.5% of total)ival-sin: 215.0ms (22.1% of total)ival-mult: 163.0ms (16.7% of total)adjust: 49.0ms (5% of total)exact: 7.0ms (0.7% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| 2× | egg-herbie |
| 80× | associate-/r* |
| 72× | times-frac |
| 68× | sub-neg |
| 64× | div-sub |
| 58× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 84 |
| 1 | 57 | 80 |
| 2 | 108 | 78 |
| 3 | 167 | 78 |
| 4 | 250 | 78 |
| 5 | 430 | 78 |
| 6 | 539 | 78 |
| 7 | 579 | 78 |
| 8 | 598 | 78 |
| 9 | 611 | 78 |
| 0 | 8 | 13 |
| 1 | 11 | 13 |
| 2 | 13 | 13 |
| 0 | 13 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
| Outputs |
|---|
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Inputs |
|---|
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
(/ (tan (/ (neg x) (* y 2))) (sin (/ (neg x) (* y 2)))) |
(/ (tan (/ x (* (neg y) 2))) (sin (/ x (* (neg y) 2)))) |
(neg (/ (tan (/ (neg x) (* y 2))) (sin (/ (neg x) (* y 2))))) |
(neg (/ (tan (/ x (* (neg y) 2))) (sin (/ x (* (neg y) 2))))) |
(/ (tan (/ y (* x 2))) (sin (/ y (* x 2)))) |
| Outputs |
|---|
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
(/ (tan (/ (neg x) (* y 2))) (sin (/ (neg x) (* y 2)))) |
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
(/ (tan (/ x (* (neg y) 2))) (sin (/ x (* (neg y) 2)))) |
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
(neg (/ (tan (/ (neg x) (* y 2))) (sin (/ (neg x) (* y 2))))) |
(/ (tan (/ x (* y 2))) (sin (* x (/ -1/2 y)))) |
(neg (/ (tan (/ x (* (neg y) 2))) (sin (/ x (* (neg y) 2))))) |
(/ (tan (/ x (* y 2))) (sin (* x (/ -1/2 y)))) |
(/ (tan (/ y (* x 2))) (sin (/ y (* x 2)))) |
(abs x)
(abs y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 132 | 0 | - | 0 | - | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 132 | 0 | - | 0 | - | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 29 | 0 | - | 0 | - | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 96 | 0 |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 96 | 0 |
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 36 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 36 | |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 36 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 36 | |
/.f64 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | u/u | 29 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 29 | |
| ↳ | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 29 | |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 29 | |
| ↳ | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 29 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 161 | 0 |
| - | 0 | 95 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 161 | 0 | 0 |
| - | 0 | 0 | 95 |
| number | freq |
|---|---|
| 0 | 95 |
| 1 | 29 |
| 2 | 132 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 150.0ms | 262× | 1 | valid |
| 19.0ms | 250× | 0 | valid |
Compiled 106 to 36 computations (66% saved)
ival-tan: 15.0ms (29.5% of total)ival-sin: 14.0ms (27.5% of total)ival-div: 10.0ms (19.7% of total)ival-mult: 6.0ms (11.8% of total)adjust: 4.0ms (7.9% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 41.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Compiled 15 to 8 computations (46.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 12× | /-lowering-/.f32 |
| 12× | /-lowering-/.f64 |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 4× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 36 |
| 1 | 11 | 36 |
| 2 | 13 | 36 |
| 0 | 13 | 36 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
(tan (/ x (* y 2))) |
(/ x (* y 2)) |
x |
(* y 2) |
y |
2 |
(sin (/ x (* y 2))) |
| Outputs |
|---|
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan (/ x (* y 2))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/ x (* y 2)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(* y 2) |
(*.f64 y #s(literal 2 binary64)) |
y |
2 |
#s(literal 2 binary64) |
(sin (/ x (* y 2))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal 2 binary64)) |
| ✓ | accuracy | 88.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| ✓ | accuracy | 53.1% | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| ✓ | accuracy | 52.0% | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 25.0ms | 131× | 1 | valid |
| 8.0ms | 125× | 0 | valid |
Compiled 38 to 10 computations (73.7% saved)
ival-tan: 7.0ms (29.8% of total)ival-sin: 6.0ms (25.5% of total)ival-div: 5.0ms (21.3% of total)ival-mult: 4.0ms (17% of total)adjust: 1.0ms (4.3% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))> |
#<alt (tan (/ x (* y 2)))> |
#<alt (/ x (* y 2))> |
#<alt (* y 2)> |
#<alt (sin (/ x (* y 2)))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt 1> |
#<alt (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))> |
#<alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))> |
#<alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))> |
#<alt 1> |
#<alt (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))> |
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))> |
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)> |
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)> |
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))> |
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))> |
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 2 y)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
| 2.0ms | y | @ | -inf | (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | -inf | (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | inf | (/ x (* y 2)) |
| 1.0ms | x | @ | 0 | (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
| 1× | batch-egg-rewrite |
| 2 672× | *-lowering-*.f32 |
| 2 672× | *-lowering-*.f64 |
| 2 226× | /-lowering-/.f32 |
| 2 226× | /-lowering-/.f64 |
| 1 360× | accelerator-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 33 |
| 1 | 28 | 33 |
| 2 | 137 | 28 |
| 3 | 786 | 28 |
| 0 | 8168 | 28 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) |
(tan (/ x (* y 2))) |
(/ x (* y 2)) |
(* y 2) |
(sin (/ x (* y 2))) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) #s(literal -1 binary64)) |
(*.f64 (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) |
(*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) |
(*.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (/.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) |
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| 1× | egg-herbie |
| 14 468× | accelerator-lowering-fma.f32 |
| 14 468× | accelerator-lowering-fma.f64 |
| 6 082× | +-lowering-+.f64 |
| 6 082× | +-lowering-+.f32 |
| 5 448× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 2054 |
| 1 | 950 | 2028 |
| 2 | 3388 | 1926 |
| 0 | 9111 | 1817 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
1 |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
1 |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 y y))) #s(literal 1 binary64))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 y y))) #s(literal 1/24 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64)))) (*.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/1920 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 y y))) #s(literal 1/24 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64)))) (*.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 (-.f64 (fma.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal 1/384 binary64)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/92160 binary64)))) (*.f64 x (pow.f64 y #s(literal 6 binary64))))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (*.f64 x x) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64)))) x) (fma.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/1920 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/1920 binary64) (/.f64 #s(literal 1/1920 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/322560 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
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(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64)))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64))))) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) y)) |
Compiled 14 553 to 1 766 computations (87.9% saved)
62 alts after pruning (61 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 618 | 61 | 679 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 618 | 62 | 680 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 42.7% | (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
| 50.1% | (pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 51.6% | (pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64)) | |
| 40.8% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.0% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.2% | (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.2% | (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.8% | (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.8% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.8% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) | |
| 40.8% | (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) | |
| 52.9% | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 0 binary64)))) | |
| 6.2% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 38.8% | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.1% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.0% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 27.3% | (/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) x)) (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))) (*.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.4% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) x)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.7% | (/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.0% | (/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.2% | (/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 29.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)) | |
| 6.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) | |
| 5.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) | |
| 37.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) | |
| 40.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) | |
| 29.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))) | |
| 41.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) | |
| 21.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) | |
| 36.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) | |
| 15.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))))) | |
| 22.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) x)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) | |
| ▶ | 18.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x))) |
| 14.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))) | |
| 17.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64)))))) | |
| 17.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64)))))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| ✓ | 41.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 38.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))))))) | |
| 40.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 21.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64)))) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) | |
| 15.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 36.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 38.0% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.7% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 40.9% | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 21.2% | (/.f64 (tan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64)))) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 36.9% | (/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 41.3% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) |
| 52.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 22.8% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))) | |
| 6.0% | (*.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 40.8% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 40.8% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 40.8% | (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) | |
| ▶ | 52.9% | #s(literal 1 binary64) |
Compiled 2 835 to 1 834 computations (35.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| ✓ | cost-diff | 13312 | (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x)) |
| ✓ | cost-diff | 0 | (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 192 | (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) |
| ✓ | cost-diff | 6400 | (sin.f64 #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
| ✓ | cost-diff | 1088 | (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
| 3 296× | *-lowering-*.f32 |
| 3 296× | *-lowering-*.f64 |
| 2 430× | accelerator-lowering-fma.f32 |
| 2 430× | accelerator-lowering-fma.f64 |
| 1 904× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 228 |
| 1 | 77 | 220 |
| 2 | 157 | 214 |
| 3 | 326 | 194 |
| 4 | 682 | 194 |
| 5 | 2031 | 194 |
| 6 | 3812 | 194 |
| 7 | 5792 | 194 |
| 0 | 8106 | 193 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ (* (* x x) (/ 1/8 (* y y))) 1) |
(* x x) |
x |
(/ 1/8 (* y y)) |
1/8 |
(* y y) |
y |
1 |
(/ (tan (/ x (* y 2))) (sin (/ (* (/ -1/2 y) (- 0 (+ (* x x) 0))) x))) |
(tan (/ x (* y 2))) |
(/ x (* y 2)) |
x |
(* y 2) |
y |
2 |
(sin (/ (* (/ -1/2 y) (- 0 (+ (* x x) 0))) x)) |
(/ (* (/ -1/2 y) (- 0 (+ (* x x) 0))) x) |
(* (/ -1/2 y) (- 0 (+ (* x x) 0))) |
(/ -1/2 y) |
-1/2 |
(- 0 (+ (* x x) 0)) |
0 |
(+ (* x x) 0) |
(/ (sin (/ (* x 1/2) y)) (* (+ (sin (/ x y)) (sin 0)) 1/2)) |
(sin (/ (* x 1/2) y)) |
(/ (* x 1/2) y) |
(* x 1/2) |
x |
1/2 |
y |
(* (+ (sin (/ x y)) (sin 0)) 1/2) |
(+ (sin (/ x y)) (sin 0)) |
(sin (/ x y)) |
(/ x y) |
(sin 0) |
0 |
(/ (tan (* (pow (+ (* y 2) 0) -1/2) (* (pow (+ (* y 2) 0) -1/2) x))) (sin (/ x (* y 2)))) |
(tan (* (pow (+ (* y 2) 0) -1/2) (* (pow (+ (* y 2) 0) -1/2) x))) |
(* (pow (+ (* y 2) 0) -1/2) (* (pow (+ (* y 2) 0) -1/2) x)) |
(pow (+ (* y 2) 0) -1/2) |
(+ (* y 2) 0) |
y |
2 |
0 |
-1/2 |
(* (pow (+ (* y 2) 0) -1/2) x) |
x |
(sin (/ x (* y 2))) |
(/ x (* y 2)) |
(* y 2) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ (* (* x x) (/ 1/8 (* y y))) 1) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) #s(literal 1 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(/ 1/8 (* y y)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
1/8 |
#s(literal 1/8 binary64) |
(* y y) |
(*.f64 y y) |
y |
1 |
#s(literal 1 binary64) |
(/ (tan (/ x (* y 2))) (sin (/ (* (/ -1/2 y) (- 0 (+ (* x x) 0))) x))) |
(/.f64 (tan.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))) (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))) |
(tan (/ x (* y 2))) |
(tan.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))) |
(/ x (* y 2)) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) |
x |
(* y 2) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
y |
2 |
#s(literal 2 binary64) |
(sin (/ (* (/ -1/2 y) (- 0 (+ (* x x) 0))) x)) |
(sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))) |
(/ (* (/ -1/2 y) (- 0 (+ (* x x) 0))) x) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) |
(* (/ -1/2 y) (- 0 (+ (* x x) 0))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) |
(/ -1/2 y) |
(/.f64 #s(literal -1/2 binary64) y) |
-1/2 |
#s(literal -1/2 binary64) |
(- 0 (+ (* x x) 0)) |
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) |
0 |
#s(literal 0 binary64) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
(/ (sin (/ (* x 1/2) y)) (* (+ (sin (/ x y)) (sin 0)) 1/2)) |
(/.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y)) #s(literal 0 binary64))) |
(sin (/ (* x 1/2) y)) |
(sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))) |
(/ (* x 1/2) y) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) |
(* x 1/2) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
y |
(* (+ (sin (/ x y)) (sin 0)) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y)) #s(literal 0 binary64)) |
(+ (sin (/ x y)) (sin 0)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(sin 0) |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(/ (tan (* (pow (+ (* y 2) 0) -1/2) (* (pow (+ (* y 2) 0) -1/2) x))) (sin (/ x (* y 2)))) |
(/.f64 (tan.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))) (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)))) |
(tan (* (pow (+ (* y 2) 0) -1/2) (* (pow (+ (* y 2) 0) -1/2) x))) |
(tan.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))) |
(* (pow (+ (* y 2) 0) -1/2) (* (pow (+ (* y 2) 0) -1/2) x)) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) |
(pow (+ (* y 2) 0) -1/2) |
(pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(+ (* y 2) 0) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
y |
2 |
#s(literal 2 binary64) |
0 |
#s(literal 0 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
(* (pow (+ (* y 2) 0) -1/2) x) |
(fma.f64 x (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
x |
(sin (/ x (* y 2))) |
(sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))) |
(/ x (* y 2)) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) |
(* y 2) |
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x)) |
| ✓ | accuracy | 88.8% | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| ✓ | accuracy | 53.1% | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| ✓ | accuracy | 52.0% | (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 88.8% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 53.1% | (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | accuracy | 52.4% | (sin.f64 (/.f64 x y)) |
| ✓ | accuracy | 88.3% | (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
| ✓ | accuracy | 75.4% | (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x) |
| ✓ | accuracy | 53.1% | (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)) |
| ✓ | accuracy | 52.0% | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
| ✓ | accuracy | 82.5% | (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
| 110.0ms | 131× | 1 | valid |
| 72.0ms | 125× | 0 | valid |
Compiled 265 to 41 computations (84.5% saved)
ival-sin: 27.0ms (22.6% of total)ival-div: 22.0ms (18.4% of total)ival-pow: 22.0ms (18.4% of total)ival-mult: 21.0ms (17.6% of total)ival-tan: 12.0ms (10.1% of total)ival-add: 7.0ms (5.9% of total)adjust: 6.0ms (5% of total)ival-sub: 2.0ms (1.7% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* x x) (/ 1/8 (* y y))) 1)> |
#<alt (/ 1/8 (* y y))> |
#<alt (* y y)> |
#<alt (* x x)> |
#<alt (/ (* (/ -1/2 y) (- 0 (+ (* x x) 0))) x)> |
#<alt (* (/ -1/2 y) (- 0 (+ (* x x) 0)))> |
#<alt (/ (tan (/ x (* y 2))) (sin (/ (* (/ -1/2 y) (- 0 (+ (* x x) 0))) x)))> |
#<alt (tan (/ x (* y 2)))> |
#<alt (sin 0)> |
#<alt (+ (sin (/ x y)) (sin 0))> |
#<alt (/ (sin (/ (* x 1/2) y)) (* (+ (sin (/ x y)) (sin 0)) 1/2))> |
#<alt (sin (/ (* x 1/2) y))> |
#<alt (* (pow (+ (* y 2) 0) -1/2) (* (pow (+ (* y 2) 0) -1/2) x))> |
#<alt (/ (tan (* (pow (+ (* y 2) 0) -1/2) (* (pow (+ (* y 2) 0) -1/2) x))) (sin (/ x (* y 2))))> |
#<alt (tan (* (pow (+ (* y 2) 0) -1/2) (* (pow (+ (* y 2) 0) -1/2) x)))> |
#<alt (pow (+ (* y 2) 0) -1/2)> |
#<alt (sin (/ (* (/ -1/2 y) (- 0 (+ (* x x) 0))) x))> |
#<alt (sin (/ x y))> |
#<alt (* (+ (sin (/ x y)) (sin 0)) 1/2)> |
#<alt (sin (/ x (* y 2)))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))> |
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))> |
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))> |
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))> |
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))> |
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))> |
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))> |
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (/ 1/8 (pow y 2))> |
#<alt (/ 1/8 (pow y 2))> |
#<alt (/ 1/8 (pow y 2))> |
#<alt (/ 1/8 (pow y 2))> |
#<alt (/ 1/8 (pow y 2))> |
#<alt (/ 1/8 (pow y 2))> |
#<alt (/ 1/8 (pow y 2))> |
#<alt (/ 1/8 (pow y 2))> |
#<alt (/ 1/8 (pow y 2))> |
#<alt (/ 1/8 (pow y 2))> |
#<alt (/ 1/8 (pow y 2))> |
#<alt (/ 1/8 (pow y 2))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt (* 1/2 (/ (pow x 2) y))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt 1> |
#<alt (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))> |
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#<alt (/ (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)> |
#<alt (/ (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)> |
#<alt (/ (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | 0 | (* (+ (sin (/ x y)) (sin 0)) 1/2) |
| 5.0ms | y | @ | -inf | (+ (sin (/ x y)) (sin 0)) |
| 4.0ms | y | @ | inf | (/ (tan (* (pow (+ (* y 2) 0) -1/2) (* (pow (+ (* y 2) 0) -1/2) x))) (sin (/ x (* y 2)))) |
| 3.0ms | y | @ | -inf | (/ (tan (* (pow (+ (* y 2) 0) -1/2) (* (pow (+ (* y 2) 0) -1/2) x))) (sin (/ x (* y 2)))) |
| 3.0ms | x | @ | 0 | (/ (tan (* (pow (+ (* y 2) 0) -1/2) (* (pow (+ (* y 2) 0) -1/2) x))) (sin (/ x (* y 2)))) |
| 1× | batch-egg-rewrite |
| 4 938× | /-lowering-/.f32 |
| 4 938× | /-lowering-/.f64 |
| 4 412× | *-lowering-*.f32 |
| 4 412× | *-lowering-*.f64 |
| 3 260× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 168 |
| 1 | 217 | 144 |
| 2 | 1767 | 140 |
| 0 | 8319 | 139 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x x) (/ 1/8 (* y y))) 1) |
(/ 1/8 (* y y)) |
(* y y) |
(* x x) |
(/ (* (/ -1/2 y) (- 0 (+ (* x x) 0))) x) |
(* (/ -1/2 y) (- 0 (+ (* x x) 0))) |
(/ (tan (/ x (* y 2))) (sin (/ (* (/ -1/2 y) (- 0 (+ (* x x) 0))) x))) |
(tan (/ x (* y 2))) |
(sin 0) |
(+ (sin (/ x y)) (sin 0)) |
(/ (sin (/ (* x 1/2) y)) (* (+ (sin (/ x y)) (sin 0)) 1/2)) |
(sin (/ (* x 1/2) y)) |
(* (pow (+ (* y 2) 0) -1/2) (* (pow (+ (* y 2) 0) -1/2) x)) |
(/ (tan (* (pow (+ (* y 2) 0) -1/2) (* (pow (+ (* y 2) 0) -1/2) x))) (sin (/ x (* y 2)))) |
(tan (* (pow (+ (* y 2) 0) -1/2) (* (pow (+ (* y 2) 0) -1/2) x))) |
(pow (+ (* y 2) 0) -1/2) |
(sin (/ (* (/ -1/2 y) (- 0 (+ (* x x) 0))) x)) |
(sin (/ x y)) |
(* (+ (sin (/ x y)) (sin 0)) 1/2) |
(sin (/ x (* y 2))) |
| Outputs |
|---|
(+.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 y y) #s(literal 8 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 y y) #s(literal 8 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 y y) #s(literal 8 binary64)))))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 x (/.f64 y #s(literal 1/8 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 y #s(literal 1/8 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) y) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 y #s(literal 1/8 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (*.f64 y y)) (/.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 y #s(literal 1/8 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 8 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 y y) #s(literal 8 binary64))))) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 y y) #s(literal 8 binary64)))))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 y y) #s(literal 8 binary64))) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (*.f64 y y)))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 y y) #s(literal 8 binary64))))) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 y y) #s(literal 8 binary64))))))) |
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(tan.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) |
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#s(literal 0 binary64) |
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(-.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64)) |
(-.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))) |
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(-.f64 (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64))) (*.f64 (cos.f64 (/.f64 x y)) #s(literal 0 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y)))) |
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(sin.f64 (/.f64 x y)) |
(sin.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x y)) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) |
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(fma.f64 (sin.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 x y)) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 (/.f64 x y)) (/.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) #s(literal 0 binary64)) |
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(fma.f64 (/.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)) #s(literal 0 binary64)) |
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(fma.f64 (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
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(neg.f64 (sin.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)))) |
(neg.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y)))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))))) |
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(pow.f64 (sin.f64 (/.f64 x y)) #s(literal 1 binary64)) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) #s(literal -1 binary64)) |
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(*.f64 (sin.f64 (/.f64 x y)) (/.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) |
(*.f64 (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64)) |
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(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (/.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3/2 binary64)) (sin.f64 (/.f64 x y))) (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3/2 binary64)) (sin.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x y)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 (/.f64 x y)))) (/.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 (/.f64 x y))))) |
(neg.f64 (/.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 (/.f64 x y))))) |
(neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (sin.f64 (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (sin.f64 (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))))) |
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(pow.f64 (sin.f64 (/.f64 x y)) #s(literal 1 binary64)) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) |
(*.f64 (sin.f64 (/.f64 x y)) (/.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) |
(*.f64 (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (/.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3/2 binary64)) (sin.f64 (/.f64 x y))) (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3/2 binary64)) (sin.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x y)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) |
(+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64))) |
(+.f64 (fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (sin.f64 (/.f64 x y))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) #s(literal 1/4 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y)))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y)))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (sin.f64 (/.f64 x y))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal 1/2 binary64)) (sin.f64 (/.f64 x y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (neg.f64 (sin.f64 (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal 1/2 binary64))) (neg.f64 (sin.f64 (/.f64 x y)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (sin.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y)))) |
(*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) |
(-.f64 (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 #s(literal 0 binary64))) (*.f64 (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))) |
(sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) |
(neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(neg.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))))) |
(neg.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
| 1× | egg-herbie |
| 11 312× | accelerator-lowering-fma.f32 |
| 11 312× | accelerator-lowering-fma.f64 |
| 6 034× | *-lowering-*.f32 |
| 6 034× | *-lowering-*.f64 |
| 4 836× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 791 | 7957 |
| 1 | 2450 | 7570 |
| 0 | 8476 | 7225 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (pow x 2) y)) |
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1 |
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1 |
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(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y) |
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1 |
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1 |
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1 |
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(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt 1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt 1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))))))) (* x (pow y 6)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2)))))) (* 1/960 (* (pow x 4) (pow (sqrt 1/2) 2)))))) (pow y 6))) (+ (* -1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 6))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4))))))))) |
(* -2 (pow (sqrt -1/2) 2)) |
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (* -2 (pow (sqrt -1/2) 2))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))) |
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2)))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))))) |
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt -1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt -1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))) (* -1/960 (* (pow x 4) (pow (sqrt -1/2) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt -1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))))))) |
(* 2 (pow (sqrt 1/2) 2)) |
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))))) |
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))))) |
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))) (pow y 2))) (+ (* -1/161280 (/ (pow (sqrt 1/2) 2) (pow y 6))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
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(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* x (pow (sqrt 1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2)))) y) |
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4)))))) y) |
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))))))))) y) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4)))))) y)) |
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))))))))) y)) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(* x (+ (* (pow x 2) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y))) |
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y))) |
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (+ (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (* (pow x 2) (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2))) |
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
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(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
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(sin (* 1/2 (/ x y))) |
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(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
(sin (/ x y)) |
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(sin (/ x y)) |
(sin (/ x y)) |
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(sin (/ x y)) |
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(sin (/ x y)) |
(/ x y) |
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(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y) |
(/ x y) |
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(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)) |
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(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64))) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x (*.f64 y y)))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 x x) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x (*.f64 y y))) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (+.f64 (fma.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/92160 binary64))))) (*.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 (+.f64 (fma.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64))) (*.f64 x (pow.f64 y #s(literal 4 binary64)))))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) x))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)))) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/1920 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/322560 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
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(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y))) |
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) #s(literal -1/6 binary64) x) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) #s(literal -1/6 binary64) x)) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y) |
(/.f64 (+.f64 x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/5040 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))))) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/120 binary64) (-.f64 #s(literal 0 binary64) x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/120 binary64) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64))))) x) (neg.f64 y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* x (+ (* -1/12 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(* x (+ (* (pow x 2) (- (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/12 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/10080 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) #s(literal -1/10080 binary64) (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/12 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (sin (/ x y))) |
(*.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (sin (/ x y))) |
(*.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (sin (/ x y))) |
(*.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (sin (/ x y))) |
(*.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (sin (/ x y))) |
(*.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (sin (/ x y))) |
(*.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (sin (/ x y))) |
(*.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (sin (/ x y))) |
(*.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (sin (/ x y))) |
(*.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (sin (/ x y))) |
(*.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (sin (/ x y))) |
(*.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (sin (/ x y))) |
(*.f64 (sin.f64 (/.f64 x y)) #s(literal 1/2 binary64)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/ (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) #s(literal -1/12 binary64) (*.f64 x #s(literal 1/2 binary64))) y) |
(/ (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/.f64 (fma.f64 #s(literal 1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) #s(literal -1/12 binary64) (*.f64 x #s(literal 1/2 binary64)))) y) |
(/ (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) #s(literal -1/12 binary64) (fma.f64 #s(literal 1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/10080 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (/ (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) #s(literal 1/12 binary64) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) #s(literal 1/12 binary64) (/.f64 (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) #s(literal 1/12 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/10080 binary64) (/.f64 (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64)))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64))))) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y)) |
Compiled 30 947 to 3 318 computations (89.3% saved)
84 alts after pruning (80 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 144 | 36 | 1 180 |
| Fresh | 12 | 44 | 56 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 158 | 84 | 1 242 |
| Status | Accuracy | Program |
|---|---|---|
| 49.2% | (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 1 binary64)) | |
| ✓ | 42.7% | (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
| ▶ | 42.7% | (fma.f64 (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
| 50.1% | (pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 51.6% | (pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64)) | |
| 28.9% | (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y))) y) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) | |
| 40.8% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.0% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.2% | (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 16.8% | (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x))) | |
| 37.8% | (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 41.3% | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 40.8% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.8% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) | |
| 40.8% | (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) | |
| 6.2% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 38.8% | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.2% | (/.f64 (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 y x))))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) | |
| 41.1% | (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x y))) | |
| 41.1% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.0% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 27.3% | (/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) x)) (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64))) (*.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) (/.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.7% | (/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.2% | (/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 29.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y))) y)) | |
| 6.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) | |
| 5.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) | |
| 37.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) | |
| 40.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) | |
| 41.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) | |
| 21.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) | |
| 36.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))) | |
| 8.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)) x))) | |
| 18.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) x))) | |
| ▶ | 40.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) |
| 15.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))))) | |
| 22.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) x)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) | |
| ▶ | 8.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -2 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y)) x))) |
| 26.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64))) x))) | |
| 14.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))) | |
| 17.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64)))))) | |
| 17.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64)))))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| ✓ | 41.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 38.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))))))) | |
| 40.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 18.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) y) (/.f64 #s(literal -1/2 binary64) x)))) | |
| 21.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64)))) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) | |
| 15.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 36.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 38.0% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.6% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.7% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ✓ | 40.9% | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 38.8% | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.9% | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.1% | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.9% | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 15.0% | (/.f64 (tan.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 4 binary64) #s(literal 0 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 21.2% | (/.f64 (tan.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y y) #s(literal 4 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.2% | (/.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 4 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.1% | (/.f64 (tan.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 36.9% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.0% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) | |
| 6.8% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal 1/2 binary64)) (sin.f64 (/.f64 x y)))) | |
| 38.0% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) | |
| 6.8% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) #s(literal 1/4 binary64))) | |
| 40.8% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y)))) #s(literal 1/2 binary64))) | |
| 6.8% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y)))) #s(literal 1/2 binary64))) | |
| 6.0% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x y)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))) #s(literal 1/2 binary64))) | |
| 6.2% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (/.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))))) #s(literal 1/2 binary64))) | |
| 41.3% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 41.6% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (tan.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) | |
| ▶ | 52.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
| 40.8% | (*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))) | |
| 40.8% | (*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) | |
| 40.8% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 40.8% | (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) | |
| ✓ | 52.9% | #s(literal 1 binary64) |
Compiled 3 929 to 2 489 computations (36.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 (/.f64 x y)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| ✓ | cost-diff | 6400 | (cos.f64 #s(literal 0 binary64)) |
| ✓ | cost-diff | 7680 | (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64)))) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -2 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y)) x) |
| ✓ | cost-diff | 704 | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -2 binary64)) |
| ✓ | cost-diff | 1728 | (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -2 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y)) |
| ✓ | cost-diff | 2880 | (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) |
| ✓ | cost-diff | 1088 | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 192 | (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
| 3 564× | /-lowering-/.f32 |
| 3 564× | /-lowering-/.f64 |
| 3 490× | *-lowering-*.f32 |
| 3 490× | *-lowering-*.f64 |
| 2 146× | neg-lowering-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 412 |
| 1 | 107 | 370 |
| 2 | 274 | 272 |
| 3 | 1272 | 250 |
| 4 | 5102 | 250 |
| 0 | 9065 | 249 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (cos (/ (* x 1/2) y))) |
1 |
(cos (/ (* x 1/2) y)) |
(/ (* x 1/2) y) |
(* x 1/2) |
x |
1/2 |
y |
(+ (* (* x x) (/ -1/8 (- 0 (* y y)))) 1) |
(* x x) |
x |
(/ -1/8 (- 0 (* y y))) |
-1/8 |
(- 0 (* y y)) |
0 |
(* y y) |
y |
1 |
(/ (tan (/ x (* y 2))) (sin (/ (/ 1 y) (/ 2 x)))) |
(tan (/ x (* y 2))) |
(/ x (* y 2)) |
x |
(* y 2) |
y |
2 |
(sin (/ (/ 1 y) (/ 2 x))) |
(/ (/ 1 y) (/ 2 x)) |
(/ 1 y) |
1 |
(/ 2 x) |
(/ (tan (/ x (* y 2))) (sin (/ (* (/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y)) x))) |
(tan (/ x (* y 2))) |
(/ x (* y 2)) |
x |
(* y 2) |
y |
2 |
(sin (/ (* (/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y)) x)) |
(/ (* (/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y)) x) |
(* (/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y)) |
(/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) |
(/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) |
(- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) |
0 |
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) |
(+ (* x x) 0) |
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0) |
-2 |
(/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) |
(/ (/ (sin (/ x y)) (+ (cos (/ x y)) (cos 0))) (sin (/ x (* y 2)))) |
(/ (sin (/ x y)) (+ (cos (/ x y)) (cos 0))) |
(sin (/ x y)) |
(/ x y) |
x |
y |
(+ (cos (/ x y)) (cos 0)) |
(cos (/ x y)) |
(cos 0) |
0 |
(sin (/ x (* y 2))) |
(/ x (* y 2)) |
(* y 2) |
2 |
| Outputs |
|---|
(/ 1 (cos (/ (* x 1/2) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
1 |
#s(literal 1 binary64) |
(cos (/ (* x 1/2) y)) |
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/ (* x 1/2) y) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
y |
(+ (* (* x x) (/ -1/8 (- 0 (* y y)))) 1) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(/ -1/8 (- 0 (* y y))) |
(/.f64 #s(literal 1/8 binary64) (fma.f64 y y #s(literal 0 binary64))) |
-1/8 |
#s(literal -1/8 binary64) |
(- 0 (* y y)) |
(fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(* y y) |
(fma.f64 y y #s(literal 0 binary64)) |
y |
1 |
#s(literal 1 binary64) |
(/ (tan (/ x (* y 2))) (sin (/ (/ 1 y) (/ 2 x)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan (/ x (* y 2))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/ x (* y 2)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(* y 2) |
(*.f64 y #s(literal 2 binary64)) |
y |
2 |
#s(literal 2 binary64) |
(sin (/ (/ 1 y) (/ 2 x))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/ (/ 1 y) (/ 2 x)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (tan (/ x (* y 2))) (sin (/ (* (/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y)) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 x y)))) |
(tan (/ x (* y 2))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/ x (* y 2)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(* y 2) |
(*.f64 y #s(literal 2 binary64)) |
y |
2 |
#s(literal 2 binary64) |
(sin (/ (* (/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y)) x)) |
(sin.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 x y))) |
(/ (* (/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y)) x) |
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 x y)) |
(* (/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) |
(/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) |
(/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) |
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
0 |
#s(literal 0 binary64) |
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
-2 |
#s(literal -2 binary64) |
(/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) |
(fma.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 x y)) #s(literal 0 binary64)) |
(/ (/ (sin (/ x y)) (+ (cos (/ x y)) (cos 0))) (sin (/ x (* y 2)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/ (sin (/ x y)) (+ (cos (/ x y)) (cos 0))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin (/ x y)) |
(sin.f64 (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
x |
y |
(+ (cos (/ x y)) (cos 0)) |
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos 0) |
#s(literal 1 binary64) |
0 |
#s(literal 0 binary64) |
(sin (/ x (* y 2))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/ x (* y 2)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(* y 2) |
(*.f64 y #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 88.8% | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| ✓ | accuracy | 53.2% | (cos.f64 (/.f64 x y)) |
| ✓ | accuracy | 53.1% | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| ✓ | accuracy | 52.4% | (sin.f64 (/.f64 x y)) |
| ✓ | accuracy | 53.1% | (sin.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -2 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y)) x)) |
| ✓ | accuracy | 52.0% | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| ✓ | accuracy | 43.4% | (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -2 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y)) |
| ✓ | accuracy | 20.2% | (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)) |
| ✓ | accuracy | 88.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) |
| ✓ | accuracy | 53.1% | (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) |
| ✓ | accuracy | 52.0% | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
| ✓ | accuracy | 82.5% | (fma.f64 (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
| ✓ | accuracy | 53.2% | (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
| 135.0ms | 131× | 1 | valid |
| 64.0ms | 125× | 0 | valid |
Compiled 510 to 49 computations (90.4% saved)
ival-div: 37.0ms (22.4% of total)ival-add: 32.0ms (19.3% of total)ival-tan: 27.0ms (16.3% of total)ival-sin: 23.0ms (13.9% of total)ival-mult: 19.0ms (11.5% of total)ival-cos: 16.0ms (9.7% of total)adjust: 7.0ms (4.2% of total)ival-sub: 3.0ms (1.8% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (cos (/ (* x 1/2) y)))> |
#<alt (cos (/ (* x 1/2) y))> |
#<alt (/ (* x 1/2) y)> |
#<alt (* x 1/2)> |
#<alt (/ -1/8 (- 0 (* y y)))> |
#<alt (+ (* (* x x) (/ -1/8 (- 0 (* y y)))) 1)> |
#<alt (- 0 (* y y))> |
#<alt (* x x)> |
#<alt (/ (/ 1 y) (/ 2 x))> |
#<alt (/ (tan (/ x (* y 2))) (sin (/ (/ 1 y) (/ 2 x))))> |
#<alt (tan (/ x (* y 2)))> |
#<alt (/ x (* y 2))> |
#<alt (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0))> |
#<alt (* (/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y))> |
#<alt (/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2)> |
#<alt (/ (* (/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y)) x)> |
#<alt (/ (sin (/ x y)) (+ (cos (/ x y)) (cos 0)))> |
#<alt (cos 0)> |
#<alt (/ (/ (sin (/ x y)) (+ (cos (/ x y)) (cos 0))) (sin (/ x (* y 2))))> |
#<alt (sin (/ x y))> |
#<alt (* y y)> |
#<alt (sin (/ (/ 1 y) (/ 2 x)))> |
#<alt (sin (/ (* (/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y)) x))> |
#<alt (sin (/ x (* y 2)))> |
#<alt (cos (/ x y))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt 1> |
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))> |
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#<alt (* 1/2 (/ x y))> |
#<alt (* -1 (/ (- (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) (* 1/8 (/ (pow x 3) (pow y 2)))) y))> |
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (* 1/8 (/ (pow x 3) (pow y 2)))))) y))> |
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3))))) (* -1/96 (pow x 5))))) (pow y 6))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* 1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (* (pow x 4) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 6))) (* 1/8 (/ (pow x 3) (pow y 2))))))))) y))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))> |
#<alt (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))> |
#<alt (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))> |
#<alt (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))> |
#<alt (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))> |
#<alt (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))> |
#<alt (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))> |
#<alt (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))> |
#<alt (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))> |
#<alt (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))> |
#<alt (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))> |
#<alt (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))> |
#<alt 1> |
#<alt (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* -1/24 (/ (pow x 2) (pow y 2)))))> |
#<alt (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* 1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/96 (/ (pow x 4) (pow y 4))) (+ (* 1/48 (/ (pow x 4) (pow y 4))) (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* -1/6 (pow x 2)) (+ (* -1/4 (pow x 2)) (* -1/24 (pow x 2))))) (* x (pow y 4)))))))))> |
#<alt (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/1152 (/ (pow x 6) (pow y 6))) (+ (* -1/1440 (/ (pow x 6) (pow y 6))) (+ (* -1/7680 (/ (pow x 6) (pow y 6))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/96 (/ (pow x 4) (pow y 4))) (+ (* 1/48 (/ (pow x 4) (pow y 4))) (+ (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* -1/6 (pow x 2)) (+ (* -1/4 (pow x 2)) (* -1/24 (pow x 2))))) (* x (pow y 4))) (+ (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* 1/1920 (pow x 4)) (+ (* 1/96 (pow x 4)) (+ (* 1/48 (pow x 4)) (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* -1/6 (pow x 2)) (+ (* -1/4 (pow x 2)) (* -1/24 (pow x 2))))) x)))))) (* x (pow y 6))) (/ (* (+ (* 1/1920 (pow x 5)) (+ (* 1/96 (pow x 5)) (* 1/48 (pow x 5)))) (- (* -1/6 (pow x 2)) (+ (* -1/4 (pow x 2)) (* -1/24 (pow x 2))))) (* x (pow y 6)))))))))))))))> |
#<alt 1> |
#<alt (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))> |
#<alt (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))> |
#<alt (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) x)) (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) x))))) (* x (pow y 6)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* 1/322560 (pow x 7)) (+ (* 1/7680 (pow x 7)) (+ (* 1/1440 (pow x 7)) (* 1/1152 (pow x 7))))) (* x (pow y 6)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2))))))))))> |
#<alt (/ x y)> |
#<alt (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))> |
#<alt (sin (/ x y))> |
#<alt (sin (/ x y))> |
#<alt (sin (/ x y))> |
#<alt (sin (/ x y))> |
#<alt (sin (/ x y))> |
#<alt (sin (/ x y))> |
#<alt (sin (/ x y))> |
#<alt (sin (/ x y))> |
#<alt (sin (/ x y))> |
#<alt (sin (/ x y))> |
#<alt (sin (/ x y))> |
#<alt (sin (/ x y))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)> |
#<alt (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)> |
#<alt (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))> |
#<alt (cos (/ x y))> |
#<alt (cos (/ x y))> |
#<alt (cos (/ x y))> |
#<alt (cos (/ x y))> |
#<alt (cos (/ x y))> |
#<alt (cos (/ x y))> |
#<alt (cos (/ x y))> |
#<alt (cos (/ x y))> |
#<alt (cos (/ x y))> |
#<alt (cos (/ x y))> |
#<alt (cos (/ x y))> |
#<alt (cos (/ x y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))> |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | (/ (/ (sin (/ x y)) (+ (cos (/ x y)) (cos 0))) (sin (/ x (* y 2)))) |
| 3.0ms | y | @ | -inf | (/ (sin (/ x y)) (+ (cos (/ x y)) (cos 0))) |
| 2.0ms | y | @ | -inf | (/ (/ (sin (/ x y)) (+ (cos (/ x y)) (cos 0))) (sin (/ x (* y 2)))) |
| 1.0ms | x | @ | 0 | (/ (/ (sin (/ x y)) (+ (cos (/ x y)) (cos 0))) (sin (/ x (* y 2)))) |
| 1.0ms | y | @ | inf | (/ (sin (/ x y)) (+ (cos (/ x y)) (cos 0))) |
| 1× | batch-egg-rewrite |
| 4 342× | *-lowering-*.f32 |
| 4 342× | *-lowering-*.f64 |
| 4 142× | /-lowering-/.f32 |
| 4 142× | /-lowering-/.f64 |
| 2 404× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 244 |
| 1 | 305 | 155 |
| 2 | 2725 | 152 |
| 0 | 8338 | 151 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (cos (/ (* x 1/2) y))) |
(cos (/ (* x 1/2) y)) |
(/ (* x 1/2) y) |
(* x 1/2) |
(/ -1/8 (- 0 (* y y))) |
(+ (* (* x x) (/ -1/8 (- 0 (* y y)))) 1) |
(- 0 (* y y)) |
(* x x) |
(/ (/ 1 y) (/ 2 x)) |
(/ (tan (/ x (* y 2))) (sin (/ (/ 1 y) (/ 2 x)))) |
(tan (/ x (* y 2))) |
(/ x (* y 2)) |
(/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) |
(* (/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y)) |
(/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) |
(/ (* (/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y)) x) |
(/ (sin (/ x y)) (+ (cos (/ x y)) (cos 0))) |
(cos 0) |
(/ (/ (sin (/ x y)) (+ (cos (/ x y)) (cos 0))) (sin (/ x (* y 2)))) |
(sin (/ x y)) |
(* y y) |
(sin (/ (/ 1 y) (/ 2 x))) |
(sin (/ (* (/ (/ (- 0 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) -2) (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y)) x)) |
(sin (/ x (* y 2))) |
(cos (/ x y)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
(+.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 #s(literal 0 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)))) |
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -2 binary64) x))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))) |
(cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) |
(cos.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 2 binary64) x))) |
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(cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal 2 binary64)))) |
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#s(literal 1 binary64) |
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(/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (/.f64 x y))))) |
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) |
(pow.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(*.f64 (sin.f64 (/.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (/.f64 x y)))))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64)))) |
(+.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 x y))) (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y)))) |
(-.f64 (*.f64 (sin.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64)))) |
(sin.f64 (/.f64 x y)) |
(fma.f64 (sin.f64 (/.f64 x y)) #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64)))) |
(fma.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 x y)) (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y)))) |
(neg.f64 (sin.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)))) |
(neg.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y))) |
(+.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(+.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(fma.f64 y y #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal 0 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(*.f64 y y) |
(*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(-.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 #s(literal 0 binary64)))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(neg.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -2 binary64) x)))) |
(neg.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y)))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(neg.f64 (sin.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) |
(neg.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(neg.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal 2 binary64))))) |
(sin.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64))) x)) |
(neg.f64 (sin.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x)))) |
(neg.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 2 binary64)))) x))) |
(-.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 #s(literal 0 binary64)))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(neg.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -2 binary64) x)))) |
(neg.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y)))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(neg.f64 (sin.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) |
(neg.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(neg.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal 2 binary64))))) |
(+.f64 (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64)))) |
(cos.f64 (/.f64 x y)) |
(cos.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))) |
(cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(-.f64 (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) |
(-.f64 (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64)))) |
(fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64)))) |
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) |
(*.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 9 286× | accelerator-lowering-fma.f32 |
| 9 286× | accelerator-lowering-fma.f64 |
| 4 778× | *-lowering-*.f32 |
| 4 778× | *-lowering-*.f64 |
| 4 742× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 674 | 6367 |
| 1 | 2107 | 6093 |
| 2 | 7598 | 6073 |
| 0 | 8297 | 5786 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
(/ 1/8 (pow y 2)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
1 |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
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1 |
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1 |
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1 |
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1 |
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(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
1 |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
(cos (/ x y)) |
1 |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y)))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/46080 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/46080 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/ 1/8 (pow y 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
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(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64)))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64))))) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1/2 binary64) y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64)))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64))))) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
(cos (/ x y)) |
(cos.f64 (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64)) (pow.f64 y #s(literal 6 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/24 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64)) (pow.f64 y #s(literal 6 binary64)))))) |
Compiled 37 089 to 2 926 computations (92.1% saved)
88 alts after pruning (82 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 337 | 28 | 1 365 |
| Fresh | 21 | 54 | 75 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 361 | 88 | 1 449 |
| Status | Accuracy | Program |
|---|---|---|
| 24.6% | (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) | |
| 13.2% | (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) | |
| ▶ | 49.2% | (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 1 binary64)) |
| ✓ | 42.7% | (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
| ✓ | 42.7% | (fma.f64 (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
| 50.1% | (pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 51.6% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) | |
| 51.6% | (pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64)) | |
| 28.9% | (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y))) y) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) | |
| 6.0% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.2% | (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.5% | (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) | |
| 16.8% | (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x))) | |
| 37.8% | (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 36.7% | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))) | |
| 41.3% | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.8% | (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) | |
| 6.2% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 38.8% | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 5.7% | (/.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal -1 binary64))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.2% | (/.f64 (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 y x))))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) | |
| 41.1% | (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x y))) | |
| 41.1% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.0% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 18.7% | (/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 14.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.2% | (/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) | |
| 40.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) | |
| 21.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) | |
| 36.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))) | |
| 18.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) x))) | |
| 15.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))))) | |
| 22.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) x)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) | |
| 26.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64))) x))) | |
| 5.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)) x)))) | |
| 14.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))) | |
| 8.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))) #s(literal -1 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y)) x))) | |
| 17.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64)))))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| ✓ | 41.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 38.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))))))) | |
| 40.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 40.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))))) | |
| 8.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x y)) (/.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))))) | |
| ▶ | 9.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y) (*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) x))))) |
| 21.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64)))) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) | |
| 15.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| ▶ | 36.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))) |
| 38.0% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.7% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ✓ | 40.9% | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 38.8% | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.9% | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 15.0% | (/.f64 (tan.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 4 binary64) #s(literal 0 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 21.2% | (/.f64 (tan.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y y) #s(literal 4 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) | |
| 7.8% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -2 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y)) x))) | |
| 41.3% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.2% | (/.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 4 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.1% | (/.f64 (tan.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.1% | (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) | |
| 36.8% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) | |
| 36.9% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.8% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal 1/2 binary64)) (sin.f64 (/.f64 x y)))) | |
| 6.8% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) #s(literal 1/4 binary64))) | |
| 40.8% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y)))) #s(literal 1/2 binary64))) | |
| 6.0% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x y)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))) #s(literal 1/2 binary64))) | |
| 41.3% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 43.3% | (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))) | |
| 41.6% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) | |
| 40.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) | |
| ✓ | 52.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
| 52.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) y))) | |
| 53.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) | |
| 53.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))))) | |
| ▶ | 53.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
| 52.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))) | |
| 53.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))) | |
| 40.8% | (*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))) | |
| 40.8% | (*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) | |
| 40.8% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 40.8% | (*.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) | |
| ✓ | 52.9% | #s(literal 1 binary64) |
Compiled 4 011 to 2 517 computations (37.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))) |
| ✓ | cost-diff | 128 | (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 12992 | (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y) (*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) x))))) |
| ✓ | cost-diff | 192 | (/.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
| ✓ | cost-diff | 640 | (*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 2560 | (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y) (*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 x y))) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 704 | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 x y)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/8 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 384 | (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 1 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | cost-diff | 0 | (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
| 3 534× | *-lowering-*.f32 |
| 3 534× | *-lowering-*.f64 |
| 2 458× | /-lowering-/.f32 |
| 2 458× | /-lowering-/.f64 |
| 1 924× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 332 |
| 1 | 109 | 312 |
| 2 | 265 | 290 |
| 3 | 923 | 246 |
| 4 | 4100 | 246 |
| 5 | 6089 | 246 |
| 0 | 8125 | 245 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (cos (* (/ 1/2 y) x))) |
1 |
(cos (* (/ 1/2 y) x)) |
(* (/ 1/2 y) x) |
(/ 1/2 y) |
1/2 |
y |
x |
(+ (* (/ x y) (/ (* x 1/8) y)) 1) |
(/ x y) |
x |
y |
(/ (* x 1/8) y) |
(* x 1/8) |
1/8 |
1 |
(/ (tan (/ (* (- 0 (+ (* x x) 0)) -1/2) (* x y))) (sin (/ x (* y 2)))) |
(tan (/ (* (- 0 (+ (* x x) 0)) -1/2) (* x y))) |
(/ (* (- 0 (+ (* x x) 0)) -1/2) (* x y)) |
(* (- 0 (+ (* x x) 0)) -1/2) |
(- 0 (+ (* x x) 0)) |
0 |
(+ (* x x) 0) |
x |
-1/2 |
(* x y) |
y |
(sin (/ x (* y 2))) |
(/ x (* y 2)) |
(* y 2) |
2 |
(/ (tan (/ x (* y 2))) (sin (* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) (* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x))))) |
(tan (/ x (* y 2))) |
(/ x (* y 2)) |
x |
(* y 2) |
y |
2 |
(sin (* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) (* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x)))) |
(* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) (* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x))) |
(/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) |
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) |
(+ (* x x) 0) |
0 |
(* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x)) |
(/ -1/2 (neg (+ (* x x) 0))) |
-1/2 |
(neg (+ (* x x) 0)) |
(/ 1 x) |
1 |
(/ (tan (/ x (* y 2))) (sin (exp (* (log (/ y (* x 1/2))) -1)))) |
(tan (/ x (* y 2))) |
(/ x (* y 2)) |
x |
(* y 2) |
y |
2 |
(sin (exp (* (log (/ y (* x 1/2))) -1))) |
(exp (* (log (/ y (* x 1/2))) -1)) |
(* (log (/ y (* x 1/2))) -1) |
(log (/ y (* x 1/2))) |
(/ y (* x 1/2)) |
(* x 1/2) |
1/2 |
-1 |
| Outputs |
|---|
(/ 1 (cos (* (/ 1/2 y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64)))) |
1 |
#s(literal 1 binary64) |
(cos (* (/ 1/2 y) x)) |
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64))) |
(* (/ 1/2 y) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
1/2 |
#s(literal 1/2 binary64) |
y |
x |
(+ (* (/ x y) (/ (* x 1/8) y)) 1) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
x |
y |
(/ (* x 1/8) y) |
(*.f64 (/.f64 x y) #s(literal 1/8 binary64)) |
(* x 1/8) |
(*.f64 x #s(literal 1/8 binary64)) |
1/8 |
#s(literal 1/8 binary64) |
1 |
#s(literal 1 binary64) |
(/ (tan (/ (* (- 0 (+ (* x x) 0)) -1/2) (* x y))) (sin (/ x (* y 2)))) |
(/.f64 (tan.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan (/ (* (- 0 (+ (* x x) 0)) -1/2) (* x y))) |
(tan.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64))) |
(/ (* (- 0 (+ (* x x) 0)) -1/2) (* x y)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64)) |
(* (- 0 (+ (* x x) 0)) -1/2) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(- 0 (+ (* x x) 0)) |
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) |
0 |
#s(literal 0 binary64) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
(* x y) |
(*.f64 y x) |
y |
(sin (/ x (* y 2))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/ x (* y 2)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(* y 2) |
(*.f64 y #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (tan (/ x (* y 2))) (sin (* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) (* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64)))) |
(tan (/ x (* y 2))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/ x (* y 2)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(* y 2) |
(*.f64 y #s(literal 2 binary64)) |
y |
2 |
#s(literal 2 binary64) |
(sin (* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) (* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x)))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64))) |
(* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) (* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64)) |
(/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) |
(fma.f64 (/.f64 x y) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) |
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x)) |
(/.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/ -1/2 (neg (+ (* x x) 0))) |
(/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(neg (+ (* x x) 0)) |
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(/ (tan (/ x (* y 2))) (sin (exp (* (log (/ y (* x 1/2))) -1)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64)))) |
(tan (/ x (* y 2))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/ x (* y 2)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(* y 2) |
(*.f64 y #s(literal 2 binary64)) |
y |
2 |
#s(literal 2 binary64) |
(sin (exp (* (log (/ y (* x 1/2))) -1))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64))) |
(exp (* (log (/ y (* x 1/2))) -1)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64)) |
(* (log (/ y (* x 1/2))) -1) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))))) |
(log (/ y (* x 1/2))) |
(log.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)))) |
(/ y (* x 1/2)) |
(/.f64 y (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))) |
(* x 1/2) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
-1 |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 88.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))) |
| ✓ | accuracy | 76.2% | (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 53.1% | (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) |
| ✓ | accuracy | 52.0% | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| ✓ | accuracy | 88.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y) (*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) x))))) |
| ✓ | accuracy | 53.1% | (sin.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y) (*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 52.0% | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| ✓ | accuracy | 31.4% | (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y) (*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 88.8% | (/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| ✓ | accuracy | 63.3% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 x y)) |
| ✓ | accuracy | 53.1% | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| ✓ | accuracy | 52.0% | (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 x y))) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/8 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) y) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
| ✓ | accuracy | 53.2% | (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
| 161.0ms | 131× | 1 | valid |
| 45.0ms | 125× | 0 | valid |
Compiled 368 to 49 computations (86.7% saved)
ival-div: 59.0ms (34.6% of total)ival-mult: 28.0ms (16.4% of total)ival-sin: 23.0ms (13.5% of total)ival-log: 15.0ms (8.8% of total)ival-tan: 11.0ms (6.5% of total)ival-exp: 10.0ms (5.9% of total)ival-cos: 8.0ms (4.7% of total)adjust: 6.0ms (3.5% of total)ival-add: 5.0ms (2.9% of total)ival-sub: 3.0ms (1.8% of total)ival-neg: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (cos (* (/ 1/2 y) x)))> |
#<alt (cos (* (/ 1/2 y) x))> |
#<alt (/ 1/2 y)> |
#<alt (* (/ 1/2 y) x)> |
#<alt (+ (* (/ x y) (/ (* x 1/8) y)) 1)> |
#<alt (/ x y)> |
#<alt (/ (* x 1/8) y)> |
#<alt (* x 1/8)> |
#<alt (/ (* (- 0 (+ (* x x) 0)) -1/2) (* x y))> |
#<alt (* (- 0 (+ (* x x) 0)) -1/2)> |
#<alt (/ (tan (/ (* (- 0 (+ (* x x) 0)) -1/2) (* x y))) (sin (/ x (* y 2))))> |
#<alt (tan (/ (* (- 0 (+ (* x x) 0)) -1/2) (* x y)))> |
#<alt (* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) (* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x)))> |
#<alt (* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x))> |
#<alt (/ -1/2 (neg (+ (* x x) 0)))> |
#<alt (/ (tan (/ x (* y 2))) (sin (* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) (* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x)))))> |
#<alt (exp (* (log (/ y (* x 1/2))) -1))> |
#<alt (* (log (/ y (* x 1/2))) -1)> |
#<alt (/ (tan (/ x (* y 2))) (sin (exp (* (log (/ y (* x 1/2))) -1))))> |
#<alt (tan (/ x (* y 2)))> |
#<alt (sin (/ x (* y 2)))> |
#<alt (sin (* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) (* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x))))> |
#<alt (sin (exp (* (log (/ y (* x 1/2))) -1)))> |
#<alt (log (/ y (* x 1/2)))> |
| Outputs |
|---|
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt 1> |
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))> |
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))> |
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (cos (* 1/2 (/ x y)))> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (/ 1/2 y)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* 1/2 (/ x y))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))> |
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))> |
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))> |
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))> |
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))> |
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))> |
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))> |
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (* 1/8 (/ x y))> |
#<alt (* 1/8 (/ x y))> |
#<alt (* 1/8 (/ x y))> |
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#<alt 1> |
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#<alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))> |
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#<alt 1> |
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))> |
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt (/ 1 (cos (* 1/2 (/ x y))))> |
#<alt 1> |
#<alt (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))> |
#<alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))> |
#<alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))> |
#<alt 1> |
#<alt (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))> |
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))> |
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)> |
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)> |
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))> |
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))> |
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (* 1/2 (/ x y))> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)> |
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)> |
#<alt (* 1/2 (/ x y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))> |
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))> |
#<alt (* 1/2 (/ x y))> |
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (sin (* 1/2 (/ x y)))> |
#<alt (+ (log y) (log (/ 2 x)))> |
#<alt (+ (log y) (log (/ 2 x)))> |
#<alt (+ (log y) (log (/ 2 x)))> |
#<alt (+ (log y) (log (/ 2 x)))> |
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))> |
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))> |
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))> |
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))> |
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))> |
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))> |
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))> |
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))> |
#<alt (+ (log (* 2 y)) (* -1 (log x)))> |
#<alt (+ (log (* 2 y)) (* -1 (log x)))> |
#<alt (+ (log (* 2 y)) (* -1 (log x)))> |
#<alt (+ (log (* 2 y)) (* -1 (log x)))> |
#<alt (+ (log (* 2 y)) (log (/ 1 x)))> |
#<alt (+ (log (* 2 y)) (log (/ 1 x)))> |
#<alt (+ (log (* 2 y)) (log (/ 1 x)))> |
#<alt (+ (log (* 2 y)) (log (/ 1 x)))> |
#<alt (+ (log (* -2 y)) (log (/ -1 x)))> |
#<alt (+ (log (* -2 y)) (log (/ -1 x)))> |
#<alt (+ (log (* -2 y)) (log (/ -1 x)))> |
#<alt (+ (log (* -2 y)) (log (/ -1 x)))> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | y | @ | 0 | (* (log (/ y (* x 1/2))) -1) |
| 34.0ms | x | @ | 0 | (* (log (/ y (* x 1/2))) -1) |
| 16.0ms | y | @ | -inf | (* (log (/ y (* x 1/2))) -1) |
| 14.0ms | x | @ | inf | (* (log (/ y (* x 1/2))) -1) |
| 14.0ms | x | @ | -inf | (* (log (/ y (* x 1/2))) -1) |
| 1× | batch-egg-rewrite |
| 5 582× | /-lowering-/.f32 |
| 5 582× | /-lowering-/.f64 |
| 3 572× | *-lowering-*.f32 |
| 3 572× | *-lowering-*.f64 |
| 2 552× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 212 |
| 1 | 255 | 194 |
| 2 | 1896 | 185 |
| 0 | 8264 | 184 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (cos (* (/ 1/2 y) x))) |
(cos (* (/ 1/2 y) x)) |
(/ 1/2 y) |
(* (/ 1/2 y) x) |
(+ (* (/ x y) (/ (* x 1/8) y)) 1) |
(/ x y) |
(/ (* x 1/8) y) |
(* x 1/8) |
(/ (* (- 0 (+ (* x x) 0)) -1/2) (* x y)) |
(* (- 0 (+ (* x x) 0)) -1/2) |
(/ (tan (/ (* (- 0 (+ (* x x) 0)) -1/2) (* x y))) (sin (/ x (* y 2)))) |
(tan (/ (* (- 0 (+ (* x x) 0)) -1/2) (* x y))) |
(* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) (* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x))) |
(* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x)) |
(/ -1/2 (neg (+ (* x x) 0))) |
(/ (tan (/ x (* y 2))) (sin (* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) (* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x))))) |
(exp (* (log (/ y (* x 1/2))) -1)) |
(* (log (/ y (* x 1/2))) -1) |
(/ (tan (/ x (* y 2))) (sin (exp (* (log (/ y (* x 1/2))) -1)))) |
(tan (/ x (* y 2))) |
(sin (/ x (* y 2))) |
(sin (* (/ (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) y) (* (/ -1/2 (neg (+ (* x x) 0))) (/ 1 x)))) |
(sin (exp (* (log (/ y (* x 1/2))) -1))) |
(log (/ y (* x 1/2))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))) |
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64)))) |
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) |
(cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 1 binary64))) |
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(*.f64 (pow.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(neg.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(neg.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(neg.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal 2 binary64))))) |
(sin.f64 (/.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) y)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) |
(neg.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal 2 binary64))))) |
(log.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 (log.f64 y) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(+.f64 (log.f64 (/.f64 y x)) (log.f64 #s(literal 2 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) (log.f64 y)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y x))) |
(+.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(-.f64 (log.f64 y) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) (log.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(-.f64 (log.f64 (/.f64 y x)) (log.f64 #s(literal 1/2 binary64))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x)) |
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))) (log.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))))) |
(-.f64 (log.f64 (neg.f64 (/.f64 y x))) (log.f64 #s(literal -1/2 binary64))) |
(-.f64 (log.f64 (*.f64 y #s(literal 1 binary64))) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))))) (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 y)) |
(neg.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))) (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (log.f64 y) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) (log.f64 (-.f64 #s(literal 0 binary64) y)) (fma.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) (log.f64 (*.f64 x #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 y x)) (log.f64 #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) |
| 1× | egg-herbie |
| 11 352× | accelerator-lowering-fma.f32 |
| 11 352× | accelerator-lowering-fma.f64 |
| 5 848× | *-lowering-*.f32 |
| 5 848× | *-lowering-*.f64 |
| 4 788× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 402 | 7177 |
| 1 | 1192 | 7073 |
| 2 | 3988 | 7041 |
| 0 | 8850 | 6671 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
1 |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 (/ x y)) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/8 x) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
1 |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
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1 |
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* 1/2 (/ x y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(sin (* 1/2 (/ x y))) |
(+ (log y) (log (/ 2 x))) |
(+ (log y) (log (/ 2 x))) |
(+ (log y) (log (/ 2 x))) |
(+ (log y) (log (/ 2 x))) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(+ (log (/ -2 x)) (* -1 (log (/ -1 y)))) |
(+ (log (/ -2 x)) (* -1 (log (/ -1 y)))) |
(+ (log (/ -2 x)) (* -1 (log (/ -1 y)))) |
(+ (log (/ -2 x)) (* -1 (log (/ -1 y)))) |
(+ (log (* 2 y)) (* -1 (log x))) |
(+ (log (* 2 y)) (* -1 (log x))) |
(+ (log (* 2 y)) (* -1 (log x))) |
(+ (log (* 2 y)) (* -1 (log x))) |
(+ (log (* 2 y)) (log (/ 1 x))) |
(+ (log (* 2 y)) (log (/ 1 x))) |
(+ (log (* 2 y)) (log (/ 1 x))) |
(+ (log (* 2 y)) (log (/ 1 x))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
| Outputs |
|---|
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/384 binary64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/384 binary64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/46080 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/46080 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 (/ x y)) |
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x)))) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x)))) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x)))) y) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) y)) |
(* 1/2 (/ x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(+ (log y) (log (/ 2 x))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x))) |
(+ (log y) (log (/ 2 x))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x))) |
(+ (log y) (log (/ 2 x))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x))) |
(+ (log y) (log (/ 2 x))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x))) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x))) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x))) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x))) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x))) |
(+ (log (/ -2 x)) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (/ -2 x)) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (/ -2 x)) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (/ -2 x)) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
(+ (log (* 2 y)) (* -1 (log x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x)) |
(+ (log (* 2 y)) (* -1 (log x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x)) |
(+ (log (* 2 y)) (* -1 (log x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x)) |
(+ (log (* 2 y)) (* -1 (log x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x)) |
(+ (log (* 2 y)) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x)) |
(+ (log (* 2 y)) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x)) |
(+ (log (* 2 y)) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x)) |
(+ (log (* 2 y)) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x)) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
Compiled 33 118 to 3 300 computations (90% saved)
102 alts after pruning (94 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 357 | 25 | 1 382 |
| Fresh | 8 | 69 | 77 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 368 | 102 | 1 470 |
| Status | Accuracy | Program |
|---|---|---|
| 24.6% | (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) | |
| 13.2% | (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) | |
| ✓ | 49.2% | (fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 1 binary64)) |
| ✓ | 42.7% | (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
| ✓ | 42.7% | (fma.f64 (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
| 50.1% | (pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 51.6% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) | |
| 51.6% | (pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64)) | |
| 28.9% | (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y))) y) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) | |
| 6.0% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.5% | (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) | |
| 16.8% | (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x))) | |
| 37.8% | (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 36.7% | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))) | |
| 41.3% | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.7% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.8% | (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) | |
| 6.2% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) | |
| 38.8% | (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 5.7% | (/.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal -1 binary64))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.2% | (/.f64 (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 y x))))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) | |
| 41.1% | (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x y))) | |
| 41.1% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.0% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 14.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 7.6% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 9.2% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.7% | (/.f64 (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.2% | (/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) | |
| 40.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) | |
| 21.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) | |
| 36.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))) | |
| 37.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x)))))) | |
| 36.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64)))))) | |
| 18.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) x))) | |
| 15.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))))) | |
| 22.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) x)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) | |
| 8.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 y (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))))) | |
| 26.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64))) x))) | |
| 5.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)) x)))) | |
| 14.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))) | |
| 8.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))) #s(literal -1 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y)) x))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) | |
| ✓ | 41.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 38.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))))))) | |
| 40.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 9.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))))) | |
| 40.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))))) | |
| 37.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))))) | |
| 8.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64))))))) (/.f64 #s(literal 1 binary64) x))))) | |
| 8.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))))) | |
| 21.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64)))) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) | |
| 15.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 26.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))))) | |
| 37.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) | |
| 38.0% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 19.0% | (/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.7% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ✓ | 40.9% | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 38.8% | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.9% | (/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.7% | (/.f64 (tan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) y) (/.f64 #s(literal -1/2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 15.0% | (/.f64 (tan.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 4 binary64) #s(literal 0 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 21.2% | (/.f64 (tan.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y y) #s(literal 4 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) | |
| 7.8% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -2 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) y)) x))) | |
| 41.3% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.2% | (/.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 4 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 36.8% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) | |
| 36.9% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.1% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.8% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal 1/2 binary64)) (sin.f64 (/.f64 x y)))) | |
| 6.8% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) #s(literal 1/4 binary64))) | |
| 40.8% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y)))) #s(literal 1/2 binary64))) | |
| 6.0% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x y)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))) #s(literal 1/2 binary64))) | |
| 41.3% | (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 43.3% | (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))) | |
| 41.6% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) | |
| 40.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) | |
| 52.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 51.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)))) | |
| 52.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x)))))) | |
| 52.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64)))))) | |
| ✓ | 52.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
| 52.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) y))) | |
| 53.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 53.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))))) | |
| 52.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))))) | |
| ✓ | 53.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
| 53.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) x))) | |
| 52.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))) | |
| 53.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) | |
| 40.8% | (*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))) | |
| 40.8% | (*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) | |
| 40.8% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 18.7% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y x)))) | |
| 40.8% | (*.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) | |
| ✓ | 52.9% | #s(literal 1 binary64) |
Compiled 5 719 to 2 150 computations (62.4% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))))) |
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y))) y)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x y))) |
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (tan.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) y) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y x)))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y y) #s(literal 4 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) y) (/.f64 #s(literal -1/2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) y) (/.f64 #s(literal -1/2 binary64) x)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) x)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) |
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) x)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y)))) #s(literal 1/2 binary64))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64))) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64)))) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64)))) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y))) y) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 y (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x y)) (/.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64))))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) #s(literal 0 binary64)))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 4 binary64) #s(literal 0 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
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(/.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 4 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (tan.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) (cos.f64 (/.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (/.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))))) #s(literal 1/2 binary64))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))))) |
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x y)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (/.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64)))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
#s(literal 1 binary64) |
5 calls:
| 75.0ms | y |
| 45.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 42.0ms | x |
| 42.0ms | (*.f64 y #s(literal 2 binary64)) |
| 37.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.2% | 1 | x |
| 53.2% | 1 | y |
| 55.1% | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 55.2% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 53.2% | 1 | (*.f64 y #s(literal 2 binary64)) |
Compiled 33 to 21 computations (36.4% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
#s(literal 1 binary64) |
1 calls:
| 3.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 7 to 5 computations (28.6% saved)
Total -25.6b remaining (-85.1%)
Threshold costs -25.6b (-85.1%)
| Inputs |
|---|
#s(literal 1 binary64) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal 1 binary64) |
5 calls:
| 21.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 3.0ms | (*.f64 y #s(literal 2 binary64)) |
| 3.0ms | x |
| 3.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 1 | x |
| 52.9% | 1 | y |
| 52.9% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 52.9% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 52.9% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 33 to 21 computations (36.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5127129996849167e+279 | 5.200288792251496e+294 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5127129996849167e+279 | 5.200288792251496e+294 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 35 |
| 1 | 24 | 35 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000163911229914310491242853526415107467821316667887204713015986871679639671893362058965269087487909120754093508173384553478479969955506465212605623894021228100329076366361775747982451642744562551503145463006962224178260654742824130023110393928384054275528506323501056 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1 binary64)) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000163911229914310491242853526415107467821316667887204713015986871679639671893362058965269087487909120754093508173384553478479969955506465212605623894021228100329076366361775747982451642744562551503145463006962224178260654742824130023110393928384054275528506323501056 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000163911229914310491242853526415107467821316667887204713015986871679639671893362058965269087487909120754093508173384553478479969955506465212605623894021228100329076366361775747982451642744562551503145463006962224178260654742824130023110393928384054275528506323501056 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1 binary64)) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000163911229914310491242853526415107467821316667887204713015986871679639671893362058965269087487909120754093508173384553478479969955506465212605623894021228100329076366361775747982451642744562551503145463006962224178260654742824130023110393928384054275528506323501056 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 1 binary64)) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000163911229914310491242853526415107467821316667887204713015986871679639671893362058965269087487909120754093508173384553478479969955506465212605623894021228100329076366361775747982451642744562551503145463006962224178260654742824130023110393928384054275528506323501056 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 14 468× | accelerator-lowering-fma.f32 |
| 14 468× | accelerator-lowering-fma.f64 |
| 6 082× | +-lowering-+.f64 |
| 6 082× | +-lowering-+.f32 |
| 5 582× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 2054 |
| 1 | 950 | 2028 |
| 2 | 3388 | 1926 |
| 0 | 9111 | 1817 |
| 0 | 46 | 244 |
| 1 | 305 | 155 |
| 2 | 2725 | 152 |
| 0 | 8338 | 151 |
| 0 | 8 | 33 |
| 1 | 28 | 33 |
| 2 | 137 | 28 |
| 3 | 786 | 28 |
| 0 | 8168 | 28 |
| 0 | 47 | 212 |
| 1 | 255 | 194 |
| 2 | 1896 | 185 |
| 0 | 8264 | 184 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 96 to 68 computations (29.2% saved)
Compiled 248 to 146 computations (41.1% saved)
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