
Time bar (total: 7.4s)
| 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 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 3 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 6 |
| 98.4% | 98.3% | 1.6% | 0.1% | 0% | 0% | 0% | 7 |
| 99.2% | 99.1% | 0.8% | 0.1% | 0% | 0% | 0% | 8 |
| 99.6% | 99.5% | 0.4% | 0.1% | 0% | 0% | 0% | 9 |
| 99.8% | 99.7% | 0.2% | 0.1% | 0% | 0% | 0% | 10 |
| 99.9% | 99.8% | 0.1% | 0.1% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 21 to 11 computations (47.6% saved)
| 792.0ms | 8 256× | 0 | valid |
ival-mult: 245.0ms (50.2% of total)ival-div: 123.0ms (25.2% of total)ival-sub: 55.0ms (11.3% of total)ival-add: 47.0ms (9.6% of total)ival-true: 6.0ms (1.2% of total)exact: 6.0ms (1.2% of total)adjust: 3.0ms (0.6% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 140 | 0 | - | 0 | - | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| 17 | 0 | - | 0 | - | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) | o/o | 121 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | overflow | 71 | |
| ↳ | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | overflow | 121 | |
| ↳ | (*.f64 x x) | overflow | 67 | |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | overflow | 71 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | overflow | 121 | |
| ↳ | (*.f64 x x) | overflow | 67 | |
/.f64 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) | u/u | 19 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | underflow | 67 | |
| ↳ | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | underflow | 19 | |
| ↳ | (*.f64 x x) | underflow | 64 | |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | underflow | 67 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | underflow | 19 | |
| ↳ | (*.f64 x x) | underflow | 64 | |
-.f64 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | nan-rescue | 17 | 0 |
| ↳ | (*.f64 x x) | overflow | 67 | |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | overflow | 71 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 140 | 0 |
| - | 0 | 116 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 140 | 0 | 0 |
| - | 0 | 0 | 116 |
| number | freq |
|---|---|
| 0 | 116 |
| 1 | 123 |
| 2 | 17 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 44.0ms | 512× | 0 | valid |
Compiled 125 to 31 computations (75.2% saved)
ival-mult: 14.0ms (61.7% of total)ival-div: 3.0ms (13.2% of total)ival-sub: 2.0ms (8.8% of total)ival-add: 2.0ms (8.8% of total)ival-true: 1.0ms (4.4% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 97 |
| 1 | 85 | 97 |
| 2 | 262 | 95 |
| 3 | 549 | 95 |
| 4 | 1072 | 95 |
| 5 | 1489 | 95 |
| 6 | 1642 | 95 |
| 7 | 1653 | 95 |
| 0 | 9 | 19 |
| 0 | 15 | 19 |
| 1 | 30 | 19 |
| 2 | 81 | 19 |
| 3 | 190 | 19 |
| 4 | 390 | 19 |
| 5 | 608 | 19 |
| 6 | 880 | 19 |
| 7 | 892 | 19 |
| 0 | 892 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(abs y)
(abs x)
Compiled 19 to 9 computations (52.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 45.3% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
Compiled 19 to 9 computations (52.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) | |
| cost-diff | 1 | (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | |
| cost-diff | 1 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 51 |
| 0 | 15 | 51 |
| 1 | 30 | 51 |
| 2 | 81 | 51 |
| 3 | 190 | 51 |
| 4 | 390 | 51 |
| 5 | 608 | 51 |
| 6 | 880 | 51 |
| 7 | 892 | 51 |
| 0 | 892 | 47 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 y #s(literal 4 binary64)) y) |
(*.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 y #s(literal 4 binary64)) y) |
(*.f64 (*.f64 #s(literal 4 binary64) y) y) |
(*.f64 y #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) y) |
y |
#s(literal 4 binary64) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | |
| accuracy | 3.945289794132264 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | |
| accuracy | 34.37447856623793 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| 18.0ms | 256× | 0 | valid |
Compiled 53 to 11 computations (79.2% saved)
ival-mult: 6.0ms (57% of total)ival-sub: 1.0ms (9.5% of total)ival-div: 1.0ms (9.5% of total)ival-add: 1.0ms (9.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
(*.f64 x x) |
| Outputs |
|---|
(* -4 (pow y 2)) |
(- (pow x 2) (* 4 (pow y 2))) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
1 |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+ (* -4 (pow y 2)) (pow x 2)) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x)) |
| 1.0ms | x | @ | 0 | ((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x)) |
| 1.0ms | y | @ | inf | ((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x)) |
| 1.0ms | y | @ | -inf | ((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x)) |
| 1.0ms | y | @ | 0 | ((- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 440 |
| 1 | 326 | 402 |
| 2 | 1092 | 358 |
| 3 | 6285 | 354 |
| 0 | 8250 | 332 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (pow y 2)) |
(- (pow x 2) (* 4 (pow y 2))) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
1 |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+ (* -4 (pow y 2)) (pow x 2)) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
| Outputs |
|---|
(* -4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -4 binary64)) |
(- (pow x 2) (* 4 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) |
(* 4 (pow y 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 y y)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(+ (* -4 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 4 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 4 binary64)) (*.f64 y y)) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 40 |
| 0 | 15 | 40 |
| 1 | 52 | 40 |
| 2 | 382 | 40 |
| 0 | 5623 | 36 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 4 binary64) y) y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 4 binary64) y) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 4 binary64) y) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))) |
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(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 #s(literal 4 binary64) y)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x)) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
Compiled 23 724 to 1 315 computations (94.5% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 496 | 5 | 501 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 497 | 5 | 502 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 45.3% | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ▶ | 52.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
| ▶ | 51.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
| ▶ | 51.0% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ▶ | 49.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 240 to 126 computations (47.5% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (*.f64 #s(literal -8 binary64) (/.f64 y x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 205 |
| 0 | 48 | 201 |
| 1 | 101 | 197 |
| 2 | 240 | 197 |
| 3 | 589 | 197 |
| 4 | 1325 | 197 |
| 5 | 2560 | 197 |
| 6 | 3778 | 197 |
| 7 | 3939 | 197 |
| 8 | 3943 | 197 |
| 9 | 3943 | 197 |
| 10 | 4071 | 197 |
| 11 | 4127 | 197 |
| 12 | 4127 | 197 |
| 0 | 4127 | 197 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal -8 binary64) (/.f64 y x)) |
#s(literal -8 binary64) |
(/.f64 y x) |
y |
x |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
#s(literal -4 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal -8 binary64) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(literal -8 binary64)) |
#s(literal -8 binary64) |
(/.f64 y x) |
y |
x |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) |
#s(literal -4 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) y) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) | |
| accuracy | 3.945289794132264 | (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) | |
| accuracy | 34.37447856623793 | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| accuracy | 0.0 | (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) | |
| accuracy | 0.24513627930532605 | (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) | |
| accuracy | 31.207219620125397 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) | |
| accuracy | 31.3582173434382 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) | |
| accuracy | 32.34879649198776 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.016882531620653757 | (*.f64 #s(literal -8 binary64) (/.f64 y x)) | |
| accuracy | 0.11166000976844201 | (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) | |
| accuracy | 30.401426472515794 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
| 85.0ms | 256× | 0 | valid |
Compiled 185 to 31 computations (83.2% saved)
ival-mult: 52.0ms (74.1% of total)ival-div: 11.0ms (15.7% of total)ival-add: 4.0ms (5.7% of total)ival-sub: 2.0ms (2.9% of total)exact: 1.0ms (1.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal -8 binary64) (/.f64 y x)) |
(/.f64 y x) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
(*.f64 y y) |
(*.f64 x x) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
| Outputs |
|---|
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(* -8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -8 (/ y x)) |
(/ y x) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* 1/2 (/ x y)) |
(* -4 (pow y 2)) |
(+ (* -4 (pow y 2)) (pow x 2)) |
(pow x 2) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
1 |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(pow y 2) |
(* 4 y) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y)) |
| 3.0ms | x | @ | 0 | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y)) |
| 3.0ms | y | @ | 0 | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y)) |
| 3.0ms | y | @ | inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y)) |
| 3.0ms | x | @ | -inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (* -8 (/ y x)) (/ y x)) 1) (* -8 (/ y x)) (/ y x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 500 |
| 1 | 368 | 466 |
| 2 | 1228 | 422 |
| 3 | 7037 | 418 |
| 0 | 8248 | 388 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(* -8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -8 (/ y x)) |
(/ y x) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* 1/2 (/ x y)) |
(* -4 (pow y 2)) |
(+ (* -4 (pow y 2)) (pow x 2)) |
(pow x 2) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
1 |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(pow y 2) |
(* 4 y) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
(* -8 (/ (pow y 2) (pow x 2))) |
(*.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(* -8 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -8 binary64)) |
(/ y x) |
(/.f64 y x) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* -4 (pow y 2)) |
(*.f64 #s(literal -4 binary64) (*.f64 y y)) |
(+ (* -4 (pow y 2)) (pow x 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* 4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64)) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(* 4 y) |
(*.f64 #s(literal 4 binary64) y) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 4 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 188 |
| 0 | 48 | 184 |
| 1 | 178 | 172 |
| 2 | 1268 | 172 |
| 0 | 8600 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal -8 binary64) (/.f64 y x)) |
(/.f64 y x) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
(*.f64 y y) |
(*.f64 x x) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
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(fma.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 y) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64)))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(fma.f64 (neg.f64 x) x (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64))) (*.f64 x x)) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal -4 binary64) y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal -4 binary64) y)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal -4 binary64) y)) (*.f64 x x)) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal 4 binary64) y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal 4 binary64) y)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal 4 binary64) y)) (*.f64 x x)) |
(fma.f64 y (*.f64 #s(literal -4 binary64) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 y (*.f64 #s(literal -4 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 y (*.f64 #s(literal -4 binary64) y) (*.f64 (neg.f64 x) x)) |
(fma.f64 y (*.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 y (*.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) |
(fma.f64 x (neg.f64 x) (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
(fma.f64 x x (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y))) |
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64)))) |
(fma.f64 x x (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y))) |
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 x x (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(fma.f64 x x (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64))) |
(fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(-.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64)))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 x x)) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) x)) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y))) y)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 4 binary64))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64)))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) y))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(*.f64 #s(literal 4 binary64) y) |
(*.f64 y #s(literal 4 binary64)) |
Compiled 47 162 to 2 816 computations (94% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 083 | 4 | 1 087 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 084 | 8 | 1 092 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 45.3% | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ▶ | 51.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
| ✓ | 52.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
| ▶ | 50.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
| ▶ | 49.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
| ▶ | 43.3% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
| ✓ | 51.0% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ✓ | 49.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 320 to 133 computations (58.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) | |
| cost-diff | 2 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (pow.f64 (/.f64 x y) #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 9 | (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 10 | (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) | |
| cost-diff | 19 | (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) | |
| cost-diff | 20 | (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) | |
| cost-diff | 2 | (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 738 |
| 0 | 71 | 698 |
| 1 | 156 | 654 |
| 2 | 515 | 589 |
| 3 | 2136 | 555 |
| 4 | 7624 | 528 |
| 0 | 8543 | 508 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) |
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
#s(literal -1 binary64) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 x (/.f64 x y)) |
x |
(/.f64 x y) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) #s(literal 3 binary64)) |
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
#s(literal -1 binary64) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 x y) x) |
x |
(/.f64 x y) |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0.13671875 | (*.f64 x (/.f64 x y)) | |
| accuracy | 1.4844992192224293 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) | |
| accuracy | 31.207219620125397 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) | |
| accuracy | 0.23872768560039825 | (pow.f64 (/.f64 x y) #s(literal 4 binary64)) | |
| accuracy | 0.24513627930532605 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) | |
| accuracy | 21.06211935338173 | (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 31.207219620125397 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 18.4611438288119 | (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| accuracy | 21.05821310338173 | (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 23.880432625981516 | (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) | |
| accuracy | 31.207219620125397 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 17.02955458927862 | (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) | |
| accuracy | 31.207219620125397 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
| 122.0ms | 256× | 0 | valid |
Compiled 622 to 45 computations (92.8% saved)
ival-div: 38.0ms (42.3% of total)ival-mult: 30.0ms (33.4% of total)ival-pow: 9.0ms (10% of total)ival-add: 6.0ms (6.7% of total)ival-sub: 3.0ms (3.3% of total)ival-pow2: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/2 binary64) y) |
(*.f64 x (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 y y) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
| Outputs |
|---|
(* 1/2 (/ (pow x 2) (pow y 2))) |
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(* 1/2 (pow x 2)) |
1 |
(+ 1 (* -1 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -3/4 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))))) |
(- (* 3/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -3/2 (/ (pow x 2) (pow y 4))) (* 3/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 5/4 (/ (pow x 2) (pow y 6))) (* 3/2 (/ 1 (pow y 4))))) (* 3/2 (/ 1 (pow y 2))))) 1) |
(* 1/4 (/ (pow x 4) (pow y 4))) |
(* (pow x 4) (+ (* -1/4 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* 3/16 (/ (pow x 2) (pow y 8))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 10))) (* 3/16 (/ 1 (pow y 8))))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(- (* 1/4 (/ (pow x 4) (pow y 4))) 1) |
(/ (pow x 4) (pow y 4)) |
(/ (pow x 2) y) |
(* 1/2 x) |
(* (pow x 4) (+ (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 8))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8))))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(/ (pow x 2) (pow y 2)) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(+ 1 (* -4 (/ (pow y 2) (pow x 2)))) |
(+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (* 4 (/ (pow y 4) (pow x 4)))))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (+ (* -1/4 (/ (+ (* -64 (pow y 6)) (* -4 (* (pow y 2) (+ (* -64 (pow y 4)) (* 16 (pow y 4)))))) (pow x 6))) (* 4 (/ (pow y 4) (pow x 4))))))) (* 16 (/ (pow y 6) (pow x 6)))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* (pow x 4) (- (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* (pow x 4) (- (+ (* -4 (/ (pow y 2) (pow x 6))) (+ (* -1/16 (/ (+ (* -64 (pow y 2)) (* 192 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* 1/8 (/ (pow x 6) (pow y 6))) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow y 6))) (* 3/4 (/ 1 (* (pow x 2) (pow y 4)))))) |
(* (pow x 6) (- (+ (* 1/8 (/ 1 (pow y 6))) (/ 3 (* (pow x 4) (pow y 2)))) (/ 3/4 (* (pow x 2) (pow y 4))))) |
(* (pow x 6) (- (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 1/8 (/ 1 (pow y 6)))) (+ (/ 3/4 (* (pow x 2) (pow y 4))) (* 10 (/ 1 (pow x 6)))))) |
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 4)) (* 4 (pow y 4))) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 6)) (* -4 (* (pow y 2) (+ (* -16 (pow y 4)) (* 4 (pow y 4)))))) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 4 (/ (pow y 4) (pow x 4)))))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (pow x 4)))) |
(* (pow x 2) (- (+ (* 12 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (+ (* 4 (/ (pow y 2) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ (* -40 (/ (pow y 4) (pow x 6))) (+ (* 12 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2))))) (+ (* -16 (/ (pow y 4) (pow x 6))) (+ (* -4 (/ (* (pow y 2) (- (* 12 (pow y 2)) (+ (* 4 (pow y 2)) (* 8 (pow y 2))))) (pow x 6))) (+ (* 2 (/ (* (pow y 2) (+ (* -4 (pow y 2)) (* -1/16 (+ (* -64 (pow y 2)) (* 192 (pow y 2)))))) (pow x 6))) (+ (* 4 (/ (pow y 2) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))))))) |
(* (pow x 2) (- (+ (* 2 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (+ (* -4 (/ (pow y 4) (pow x 6))) (* 1/2 (/ 1 (pow y 2)))) (+ (* -2 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -48 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4)) |
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* 4 (pow y 2))))) (pow y 4)) |
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ 4 (* -12 (/ (pow y 2) (pow x 2)))))))) (pow y 4)) |
(/ (+ (* -1 (* (pow y 2) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (* 1/8 (pow x 6))) (pow y 6)) |
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (+ (* -1 (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (* -1/64 (* (pow y 2) (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2))))))))) (pow y 6)) |
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (+ (* -1 (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (* (pow y 2) (+ (* -1/64 (* (pow y 2) (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))))) (* -1/64 (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))))))))) (pow y 6)) |
(+ 1 (* (pow y 2) (- (* 12 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -32 (/ (pow y 2) (pow x 6))) (* 12 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (pow y 4)) (* 1/4 (pow x 4))) (pow y 4)) |
(/ 1/2 y) |
(pow y 2) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (+ (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2)))))))))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (+ (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (+ (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (* (pow y 2) (- (+ (* -1/16 (/ (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))) (pow x 4))) (* 24 (/ 1 (pow x 4)))) (+ (* -4 (/ (- (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2))))) (pow x 2))) (* 16 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 4))))))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2)))))))))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 2))) 1))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (+ (* -4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) 1))) (pow y 2)) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))) |
(- (+ 1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) |
(- (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1) |
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))) 1) |
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))))))))) 1) |
(/ (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4)) |
(/ (+ (* -1/4 (/ (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4)))) (pow y 4)) |
(/ (+ (* -1/4 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))))) (* -1/4 (pow x 10))) (pow y 6))) (+ (* -1/4 (/ (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))))) (pow y 4)) |
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4)))))) (+ 1 (+ (* -1 (/ (pow x 4) (pow y 4))) (* -1/2 (/ (pow x 4) (pow y 4)))))) |
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4))))))))) (+ 1 (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (* (pow x 2) (- (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* -1 (pow x 4)) (* -1/2 (pow x 4))))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/2 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 6) (pow y 6))))))))) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4)) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4)))) (pow y 4)) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* -1/32 (/ (pow x 10) (pow y 6))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4))))) (pow y 4)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | y | @ | 0 | ((/ (* (* 1/2 x) x) (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (* (* 1/2 x) x) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)))) (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (pow (/ x y) 2) 1/2) 1)) (+ (* (pow (/ x y) 4) 1/4) -1) (pow (/ x y) 4) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1/2 y) (* x (/ x y)) (* 1/2 x) (* y y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 2)) |
| 12.0ms | x | @ | 0 | ((/ (* (* 1/2 x) x) (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (* (* 1/2 x) x) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)))) (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (pow (/ x y) 2) 1/2) 1)) (+ (* (pow (/ x y) 4) 1/4) -1) (pow (/ x y) 4) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1/2 y) (* x (/ x y)) (* 1/2 x) (* y y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 2)) |
| 10.0ms | x | @ | inf | ((/ (* (* 1/2 x) x) (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (* (* 1/2 x) x) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)))) (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (pow (/ x y) 2) 1/2) 1)) (+ (* (pow (/ x y) 4) 1/4) -1) (pow (/ x y) 4) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1/2 y) (* x (/ x y)) (* 1/2 x) (* y y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 2)) |
| 7.0ms | y | @ | inf | ((/ (* (* 1/2 x) x) (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (* (* 1/2 x) x) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)))) (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (pow (/ x y) 2) 1/2) 1)) (+ (* (pow (/ x y) 4) 1/4) -1) (pow (/ x y) 4) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1/2 y) (* x (/ x y)) (* 1/2 x) (* y y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 2)) |
| 5.0ms | x | @ | -inf | ((/ (* (* 1/2 x) x) (* y y)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (* (* 1/2 x) x) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)))) (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (pow (/ x y) 2) 1/2) 1)) (+ (* (pow (/ x y) 4) 1/4) -1) (pow (/ x y) 4) (+ (* (/ 1/2 y) (* x (/ x y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ 1/2 y) (* x (/ x y)) (* 1/2 x) (* y y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) 3)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 548 | 2724 |
| 1 | 1851 | 2510 |
| 2 | 7778 | 2485 |
| 0 | 8705 | 2351 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (pow x 2) (pow y 2))) |
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(* 1/2 (pow x 2)) |
1 |
(+ 1 (* -1 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -3/4 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))))) |
(- (* 3/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -3/2 (/ (pow x 2) (pow y 4))) (* 3/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 5/4 (/ (pow x 2) (pow y 6))) (* 3/2 (/ 1 (pow y 4))))) (* 3/2 (/ 1 (pow y 2))))) 1) |
(* 1/4 (/ (pow x 4) (pow y 4))) |
(* (pow x 4) (+ (* -1/4 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* 3/16 (/ (pow x 2) (pow y 8))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 10))) (* 3/16 (/ 1 (pow y 8))))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(- (* 1/4 (/ (pow x 4) (pow y 4))) 1) |
(/ (pow x 4) (pow y 4)) |
(/ (pow x 2) y) |
(* 1/2 x) |
(* (pow x 4) (+ (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 8))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8))))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(/ (pow x 2) (pow y 2)) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(+ 1 (* -4 (/ (pow y 2) (pow x 2)))) |
(+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (* 4 (/ (pow y 4) (pow x 4)))))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (+ (* -1/4 (/ (+ (* -64 (pow y 6)) (* -4 (* (pow y 2) (+ (* -64 (pow y 4)) (* 16 (pow y 4)))))) (pow x 6))) (* 4 (/ (pow y 4) (pow x 4))))))) (* 16 (/ (pow y 6) (pow x 6)))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* (pow x 4) (- (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* (pow x 4) (- (+ (* -4 (/ (pow y 2) (pow x 6))) (+ (* -1/16 (/ (+ (* -64 (pow y 2)) (* 192 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* 1/8 (/ (pow x 6) (pow y 6))) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow y 6))) (* 3/4 (/ 1 (* (pow x 2) (pow y 4)))))) |
(* (pow x 6) (- (+ (* 1/8 (/ 1 (pow y 6))) (/ 3 (* (pow x 4) (pow y 2)))) (/ 3/4 (* (pow x 2) (pow y 4))))) |
(* (pow x 6) (- (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 1/8 (/ 1 (pow y 6)))) (+ (/ 3/4 (* (pow x 2) (pow y 4))) (* 10 (/ 1 (pow x 6)))))) |
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 4)) (* 4 (pow y 4))) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 6)) (* -4 (* (pow y 2) (+ (* -16 (pow y 4)) (* 4 (pow y 4)))))) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 4 (/ (pow y 4) (pow x 4)))))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (pow x 4)))) |
(* (pow x 2) (- (+ (* 12 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (+ (* 4 (/ (pow y 2) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ (* -40 (/ (pow y 4) (pow x 6))) (+ (* 12 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2))))) (+ (* -16 (/ (pow y 4) (pow x 6))) (+ (* -4 (/ (* (pow y 2) (- (* 12 (pow y 2)) (+ (* 4 (pow y 2)) (* 8 (pow y 2))))) (pow x 6))) (+ (* 2 (/ (* (pow y 2) (+ (* -4 (pow y 2)) (* -1/16 (+ (* -64 (pow y 2)) (* 192 (pow y 2)))))) (pow x 6))) (+ (* 4 (/ (pow y 2) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))))))) |
(* (pow x 2) (- (+ (* 2 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (+ (* -4 (/ (pow y 4) (pow x 6))) (* 1/2 (/ 1 (pow y 2)))) (+ (* -2 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -48 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4)) |
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* 4 (pow y 2))))) (pow y 4)) |
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ 4 (* -12 (/ (pow y 2) (pow x 2)))))))) (pow y 4)) |
(/ (+ (* -1 (* (pow y 2) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (* 1/8 (pow x 6))) (pow y 6)) |
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (+ (* -1 (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (* -1/64 (* (pow y 2) (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2))))))))) (pow y 6)) |
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (+ (* -1 (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (* (pow y 2) (+ (* -1/64 (* (pow y 2) (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))))) (* -1/64 (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))))))))) (pow y 6)) |
(+ 1 (* (pow y 2) (- (* 12 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -32 (/ (pow y 2) (pow x 6))) (* 12 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (pow y 4)) (* 1/4 (pow x 4))) (pow y 4)) |
(/ 1/2 y) |
(pow y 2) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (+ (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2)))))))))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (+ 2 (+ (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (+ (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (* (pow y 2) (- (+ (* -1/16 (/ (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))) (pow x 4))) (* 24 (/ 1 (pow x 4)))) (+ (* -4 (/ (- (* -1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2))))) (pow x 2))) (* 16 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 4))))))) (+ (* -4 (/ (+ 2 (* -4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4)))) (pow x 2))) (* 8 (/ 1 (pow x 2)))))))))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 2))) 1))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (+ (* -4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) 1))) (pow y 2)) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))) |
(- (+ 1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) |
(- (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1) |
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))) 1) |
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))))))))) 1) |
(/ (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4)) |
(/ (+ (* -1/4 (/ (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4)))) (pow y 4)) |
(/ (+ (* -1/4 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))))) (* -1/4 (pow x 10))) (pow y 6))) (+ (* -1/4 (/ (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))))) (pow y 4)) |
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4)))))) (+ 1 (+ (* -1 (/ (pow x 4) (pow y 4))) (* -1/2 (/ (pow x 4) (pow y 4)))))) |
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4))))))))) (+ 1 (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (* (pow x 2) (- (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* -1 (pow x 4)) (* -1/2 (pow x 4))))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/2 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 6) (pow y 6))))))))) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4)) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4)))) (pow y 4)) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* -1/32 (/ (pow x 10) (pow y 6))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4))))) (pow y 4)) |
| Outputs |
|---|
(* 1/2 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 1/32 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (pow x 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2))))) |
(fma.f64 (-.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -3/4 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/4 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(- (* 3/2 (/ (pow x 2) (pow y 2))) 1) |
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 y y)) x) x) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ (* -3/2 (/ (pow x 2) (pow y 4))) (* 3/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 3/2 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 5/4 (/ (pow x 2) (pow y 6))) (* 3/2 (/ 1 (pow y 4))))) (* 3/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/4 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal -3/2 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 3/2 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) |
(* 1/4 (/ (pow x 4) (pow y 4))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1/4 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* (pow x 2) (- (* 3/16 (/ (pow x 2) (pow y 8))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 y #s(literal 8 binary64))) x) x (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 10))) (* 3/16 (/ 1 (pow y 8))))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 10 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 y #s(literal 8 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(- (* 1/4 (/ (pow x 4) (pow y 4))) 1) |
(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) |
(/ (pow x 4) (pow y 4)) |
(/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* (pow x 4) (+ (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 8))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 8 binary64))) x) x (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8))))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 10 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 8 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -8 binary64) (*.f64 y y)) y) y) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x))) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(-.f64 (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal -4 binary64) x) (fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -8 binary64) (*.f64 y y)) y) y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 1 (* -4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal -4 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (* 4 (/ (pow y 4) (pow x 4)))))) |
(+.f64 (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal -4 binary64) x) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -48 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (+ (* -1/4 (/ (+ (* -64 (pow y 6)) (* -4 (* (pow y 2) (+ (* -64 (pow y 4)) (* 16 (pow y 4)))))) (pow x 6))) (* 4 (/ (pow y 4) (pow x 4))))))) (* 16 (/ (pow y 6) (pow x 6)))) |
(fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 #s(literal -48 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y) (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/4 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -48 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal -4 binary64) x) #s(literal 1 binary64)))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y) y)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y) y)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* -4 (/ (pow y 2) (pow x 6))) (+ (* -1/16 (/ (+ (* -64 (pow y 2)) (* 192 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))))) (/ 1 (* (pow x 2) (pow y 2))))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (*.f64 y y) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y) y)) (pow.f64 x #s(literal 4 binary64))) |
(* 1/8 (/ (pow x 6) (pow y 6))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow y 6))) (* 3/4 (/ 1 (* (pow x 2) (pow y 4)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ (* 1/8 (/ 1 (pow y 6))) (/ 3 (* (pow x 4) (pow y 2)))) (/ 3/4 (* (pow x 2) (pow y 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) y) y) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 1/8 (/ 1 (pow y 6)))) (+ (/ 3/4 (* (pow x 2) (pow y 4))) (* 10 (/ 1 (pow x 6)))))) |
(*.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) y) y) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 4)) (* 4 (pow y 4))) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 6)) (* -4 (* (pow y 2) (+ (* -16 (pow y 4)) (* 4 (pow y 4)))))) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 4 (/ (pow y 4) (pow x 4)))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 #s(literal -12 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y) (*.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y y) x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (pow x 4)))) |
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(* (pow x 2) (- (+ (* 12 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (+ (* 4 (/ (pow y 2) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))) |
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(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))))))))) 1) |
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/8 binary64) (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)) (*.f64 (/.f64 x y) (/.f64 x y))))) #s(literal 1 binary64)) |
(/ (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) y) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* -1/4 (/ (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4)))) (pow y 4)) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) y)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* -1/4 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))))) (* -1/4 (pow x 10))) (pow y 6))) (+ (* -1/4 (/ (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))))) (pow y 4)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -3/4 binary64)) (*.f64 (neg.f64 x) x))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) y)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4)))))) (+ 1 (+ (* -1 (/ (pow x 4) (pow y 4))) (* -1/2 (/ (pow x 4) (pow y 4)))))) |
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -3/2 binary64) #s(literal 1 binary64))) |
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4))))))))) (+ 1 (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (* (pow x 2) (- (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* -1 (pow x 4)) (* -1/2 (pow x 4))))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/2 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 6) (pow y 6))))))))) |
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/8 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/4 binary64)) x) x (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/4 binary64) (neg.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/2 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64)))) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4)))) (pow y 4)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* -1/32 (/ (pow x 10) (pow y 6))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4))))) (pow y 4)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/32 binary64) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))))) (pow.f64 y #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 631 |
| 0 | 71 | 379 |
| 1 | 311 | 338 |
| 2 | 2713 | 305 |
| 0 | 9253 | 294 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/2 binary64) y) |
(*.f64 x (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 y y) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x y))) x) |
(*.f64 (fabs.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y))) (/.f64 x y)) |
(*.f64 (fabs.f64 (/.f64 #s(literal -1/2 binary64) y)) (*.f64 (/.f64 x y) x)) |
(*.f64 (fabs.f64 (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 x y) x)) |
(*.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (fabs.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 x y)) |
(*.f64 (fabs.f64 (/.f64 (/.f64 x y) y)) (fabs.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 (*.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64)))) |
(*.f64 (fabs.f64 (*.f64 x #s(literal 1/2 binary64))) (fabs.f64 (/.f64 (/.f64 x y) y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x y)) x) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (neg.f64 x) x) y)) |
(*.f64 (/.f64 (/.f64 x y) y) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (*.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) |
(*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 x y) x) (fabs.f64 (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x)) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) (fabs.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))) |
(*.f64 (/.f64 x y) (fabs.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 x y) (fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (/.f64 x y) y)) |
(*.f64 x (fabs.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)))) |
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) y)))) |
(*.f64 x (fabs.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y))) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) y))) |
(*.f64 x (*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 x (/.f64 (/.f64 x y) y)))) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
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(sqrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))) |
(fabs.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) |
(exp.f64 (/.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 4 binary64) (-.f64 (log.f64 #s(literal -1/4 binary64)) (log1p.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 4 binary64) (-.f64 (log.f64 #s(literal -1/4 binary64)) (log1p.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(+.f64 (cosh.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 4 binary64) (-.f64 (log.f64 #s(literal -1/4 binary64)) (log1p.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (sinh.f64 (fma.f64 (log.f64 (/.f64 x y)) #s(literal 4 binary64) (-.f64 (log.f64 #s(literal -1/4 binary64)) (log1p.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))) |
(*.f64 (neg.f64 (neg.f64 (/.f64 x y))) (neg.f64 (neg.f64 (/.f64 x y)))) |
(*.f64 (pow.f64 (neg.f64 (/.f64 x y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(*.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 x y))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 x y))) |
(pow.f64 (neg.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) (/.f64 x y))) y) |
(/.f64 (fabs.f64 (*.f64 (/.f64 x y) (neg.f64 x))) y) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
Compiled 157 262 to 6 070 computations (96.1% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 419 | 8 | 1 427 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 4 | 4 |
| Total | 1 422 | 13 | 1 435 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 45.3% | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ✓ | 51.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
| ✓ | 52.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
| ▶ | 47.6% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) |
| ▶ | 50.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
| ▶ | 50.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
| ▶ | 49.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
| 49.6% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) | |
| 49.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) | |
| ▶ | 49.3% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
| 22.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ (* (* 1/2 x) x) (* y y)) 1) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y)))) | |
| ✓ | 51.0% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ✓ | 49.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 1 507 to 551 computations (63.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 9 | (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 11 | (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 13 | (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) | |
| cost-diff | 26 | (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) | |
| cost-diff | 9 | (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 13 | (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) | |
| cost-diff | 26 | (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 2 | (/.f64 (*.f64 (/.f64 x y) x) y) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) | |
| cost-diff | 2 | (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 2 | (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))) | |
| cost-diff | 3 | (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 1508 |
| 0 | 117 | 1434 |
| 1 | 239 | 1348 |
| 2 | 679 | 1194 |
| 3 | 2776 | 1073 |
| 0 | 8158 | 1047 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
#s(literal -1 binary64) |
(fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#s(literal 2 binary64) |
(*.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) |
(fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) |
x |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 y y) |
y |
#s(literal -1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) |
(pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) |
(/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(literal -1/4 binary64) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(pow.f64 (/.f64 x y) #s(literal 12 binary64)) |
#s(literal 12 binary64) |
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) |
(pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(literal -1/4 binary64) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 x y) #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(literal 1/4 binary64) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
#s(literal -1 binary64) |
(fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (log.f64 x)) |
(log.f64 x) |
#s(literal 2 binary64) |
(*.f64 (log.f64 y) #s(literal 2 binary64)) |
(log.f64 y) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
x |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(*.f64 y y) |
y |
#s(literal -1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(*.f64 (/.f64 x y) x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 12 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 12 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) |
(-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 12 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 12 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) |
(pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) |
(/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(literal -1/4 binary64) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(pow.f64 (/.f64 x y) #s(literal 12 binary64)) |
#s(literal 12 binary64) |
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/4 binary64) |
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) |
(-.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) |
(*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) |
(pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(literal -1/4 binary64) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 x y) #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(literal 1/4 binary64) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) |
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 21.05821310338173 | (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 23.605096667248116 | (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) | |
| accuracy | 23.880432625981516 | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) | |
| accuracy | 31.207219620125397 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) | |
| accuracy | 21.05821310338173 | (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 28.139126865501773 | (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) | |
| accuracy | 30.361639375186794 | (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) | |
| accuracy | 32.22498533275645 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) | |
| accuracy | 0.23872768560039825 | (pow.f64 (/.f64 x y) #s(literal 4 binary64)) | |
| accuracy | 3.8634387476725247 | (/.f64 (*.f64 (/.f64 x y) x) y) | |
| accuracy | 21.06211935338173 | (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 31.207219620125397 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (*.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 3.33139588130689 | (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) | |
| accuracy | 7.136682257037624 | (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) | |
| accuracy | 31.207219620125397 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) | |
| accuracy | 0.5990963799344771 | (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))) | |
| accuracy | 2.283682292882474 | (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) | |
| accuracy | 21.06211935338173 | (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 31.207219620125397 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
| 188.0ms | 256× | 0 | valid |
Compiled 1 297 to 71 computations (94.5% saved)
ival-pow: 45.0ms (33.7% of total)ival-mult: 27.0ms (20.2% of total)ival-add: 24.0ms (18% of total)ival-div: 16.0ms (12% of total)ival-sub: 7.0ms (5.2% of total)ival-log: 5.0ms (3.7% of total)ival-pow2: 5.0ms (3.7% of total)ival-exp: 3.0ms (2.2% of total)exact: 2.0ms (1.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) |
| Outputs |
|---|
(exp (- (* 2 (log x)) (* 2 (log y)))) |
(- (* 2 (log x)) (* 2 (log y))) |
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(/ -1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (log y))))))) |
(- (* 1/4 (/ (pow x 4) (* (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (log y))))))))) (/ 1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (log y)))))))) |
(* 1/2 (/ x (pow y 2))) |
(* 1/2 x) |
(/ (pow x 2) (pow y 2)) |
(- (* 1/4 (/ (pow x 4) (pow y 4))) 1) |
1 |
(+ 1 (* -1 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -3/4 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))))) |
(* 1/4 (/ (pow x 4) (pow y 4))) |
(* (pow x 4) (+ (* -1/4 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* 3/16 (/ (pow x 2) (pow y 8))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 10))) (* 3/16 (/ 1 (pow y 8))))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(- (* 3/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -3/2 (/ (pow x 2) (pow y 4))) (* 3/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 5/4 (/ (pow x 2) (pow y 6))) (* 3/2 (/ 1 (pow y 4))))) (* 3/2 (/ 1 (pow y 2))))) 1) |
(/ (pow x 4) (pow y 4)) |
(* -1/64 (/ (pow x 12) (pow y 12))) |
(* (pow x 12) (- (* 3/128 (/ (pow x 2) (pow y 14))) (* 1/64 (/ 1 (pow y 12))))) |
(* (pow x 12) (- (* (pow x 2) (+ (* -3/128 (/ (pow x 2) (pow y 16))) (* 3/128 (/ 1 (pow y 14))))) (* 1/64 (/ 1 (pow y 12))))) |
(* (pow x 12) (- (* (pow x 2) (+ (* (pow x 2) (- (* 5/256 (/ (pow x 2) (pow y 18))) (* 3/128 (/ 1 (pow y 16))))) (* 3/128 (/ 1 (pow y 14))))) (* 1/64 (/ 1 (pow y 12))))) |
(- (* (pow x 2) (+ (* -1/32 (/ (pow x 10) (pow y 12))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(* (pow x 4) (+ (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 8))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8))))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(* 1/16 (/ (pow x 8) (pow y 8))) |
(* (pow x 8) (+ (* -1/16 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8))))) |
(* (pow x 8) (+ (* (pow x 2) (- (* 3/64 (/ (pow x 2) (pow y 12))) (* 1/16 (/ 1 (pow y 10))))) (* 1/16 (/ 1 (pow y 8))))) |
(* (pow x 8) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 14))) (* 3/64 (/ 1 (pow y 12))))) (* 1/16 (/ 1 (pow y 10))))) (* 1/16 (/ 1 (pow y 8))))) |
(exp (- (* -2 (log (/ 1 x))) (* 2 (log y)))) |
(- (* -2 (log (/ 1 x))) (* 2 (log y))) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(* 1/4 (/ (pow x 4) (* (pow y 4) (+ 1 (* 1/2 (exp (- (* -2 (log (/ 1 x))) (* 2 (log y))))))))) |
(* (pow x 4) (- (* 1/4 (/ 1 (* (pow y 4) (+ 1 (* 1/2 (exp (- (* -2 (log (/ 1 x))) (* 2 (log y))))))))) (/ 1 (* (pow x 4) (+ 1 (* 1/2 (exp (- (* -2 (log (/ 1 x))) (* 2 (log y)))))))))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (pow x 4)))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* (pow x 4) (- (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* (pow x 4) (- (+ (* -4 (/ (pow y 2) (pow x 6))) (+ (* -1/16 (/ (+ (* -64 (pow y 2)) (* 192 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))))) (/ 1 (* (pow x 2) (pow y 2))))) |
(+ 1 (* -4 (/ (pow y 2) (pow x 2)))) |
(+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (* 4 (/ (pow y 4) (pow x 4)))))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (+ (* -1/4 (/ (+ (* -64 (pow y 6)) (* -4 (* (pow y 2) (+ (* -64 (pow y 4)) (* 16 (pow y 4)))))) (pow x 6))) (* 4 (/ (pow y 4) (pow x 4))))))) (* 16 (/ (pow y 6) (pow x 6)))) |
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 4)) (* 4 (pow y 4))) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 6)) (* -4 (* (pow y 2) (+ (* -16 (pow y 4)) (* 4 (pow y 4)))))) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 4 (/ (pow y 4) (pow x 4)))))) |
(* 1/8 (/ (pow x 6) (pow y 6))) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow y 6))) (* 3/4 (/ 1 (* (pow x 2) (pow y 4)))))) |
(* (pow x 6) (- (+ (* 1/8 (/ 1 (pow y 6))) (/ 3 (* (pow x 4) (pow y 2)))) (/ 3/4 (* (pow x 2) (pow y 4))))) |
(* (pow x 6) (- (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 1/8 (/ 1 (pow y 6)))) (+ (/ 3/4 (* (pow x 2) (pow y 4))) (* 10 (/ 1 (pow x 6)))))) |
(* -1/8 (/ (pow x 6) (pow y 6))) |
(* (pow x 6) (- (* 3/4 (/ 1 (* (pow x 2) (pow y 4)))) (* 1/8 (/ 1 (pow y 6))))) |
(* (pow x 6) (- (/ 3/4 (* (pow x 2) (pow y 4))) (+ (* 1/8 (/ 1 (pow y 6))) (/ 3 (* (pow x 4) (pow y 2)))))) |
(* (pow x 6) (- (+ (/ 3/4 (* (pow x 2) (pow y 4))) (* 10 (/ 1 (pow x 6)))) (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 1/8 (/ 1 (pow y 6)))))) |
(* -1/2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 12 (pow y 2)) (+ (* 4 (pow y 2)) (* 8 (pow y 2)))) (pow x 4))) (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -40 (pow y 4)) (+ (* -16 (pow y 4)) (+ (* -4 (* (pow y 2) (- (* 12 (pow y 2)) (+ (* 4 (pow y 2)) (* 8 (pow y 2)))))) (* 2 (* (pow y 2) (+ (* -4 (pow y 2)) (* -1/16 (+ (* -64 (pow y 2)) (* 192 (pow y 2)))))))))) (pow x 6))) (+ (* -1 (/ (- (* 12 (pow y 2)) (+ (* 4 (pow y 2)) (* 8 (pow y 2)))) (pow x 4))) (/ 1 (pow x 2)))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (+ (* 2 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (+ (* -4 (/ (pow y 4) (pow x 6))) (* 1/2 (/ 1 (pow y 2)))) (+ (* -2 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* 6 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (+ (* 2 (/ (pow y 2) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ (* -16 (/ (pow y 4) (pow x 6))) (+ (* 6 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2))))) (+ (* -8 (/ (pow y 4) (pow x 6))) (+ (* -2 (/ (* (pow y 2) (- (* 6 (pow y 2)) (+ (* 2 (pow y 2)) (* 4 (pow y 2))))) (pow x 6))) (+ (* 2 (/ (pow y 2) (pow x 4))) (+ (* 4 (/ (* (pow y 4) (+ 4 (* 1/2 (/ (+ (* -4 (pow y 2)) (* -1/16 (+ (* -64 (pow y 2)) (* 192 (pow y 2))))) (pow y 2))))) (pow x 6))) (+ (* 4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))))))) |
(* (pow x 4) (- (+ (* 1/4 (/ 1 (pow y 4))) (/ 3 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* -4 (pow y 2)) (* 12 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 3 (pow x 4)))) (/ 1 (* (pow x 2) (pow y 2))))) |
(exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (log y)))) |
(- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (log y))) |
(* 1/4 (/ (pow x 4) (* (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (log y))))))))) |
(* (pow x 4) (- (* 1/4 (/ 1 (* (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (log y))))))))) (/ 1 (* (pow x 4) (+ 1 (* 1/2 (exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (log y)))))))))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(* 1/4 (/ (pow x 4) (* (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (log y))))))))) |
(/ (+ (* -1 (/ (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (log y)))))))) (* 1/4 (/ (pow x 4) (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (log y))))))))) (pow y 4)) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(/ (+ (* -1 (pow y 4)) (* 1/4 (pow x 4))) (pow y 4)) |
(/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4)) |
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* 4 (pow y 2))))) (pow y 4)) |
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ 4 (* -12 (/ (pow y 2) (pow x 2)))))))) (pow y 4)) |
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -48 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* 12 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -32 (/ (pow y 2) (pow x 6))) (* 12 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))) |
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (- (* -1/2 (pow x 4)) (* 1/4 (pow x 4))))) (pow y 6)) |
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (- (+ (* -1/2 (pow x 4)) (* (pow y 2) (- (* -1/32 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 2))) (* 2 (/ (- (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 2)))))) (* 1/4 (pow x 4))))) (pow y 6)) |
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (- (+ (* -1/2 (pow x 4)) (* (pow y 2) (- (+ (* -1/32 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 2))) (* (pow y 2) (- (* -1/32 (/ (+ (* -64 (pow x 2)) (* -4 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 2)))) (pow x 2))) (* 2 (/ (- (* -1/32 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 2))) (* 2 (/ (- (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 2)))) (pow x 2)))))) (* 2 (/ (- (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 2)))))) (* 1/4 (pow x 4))))) (pow y 6)) |
(/ (+ (* -1/8 (pow x 6)) (* (pow y 2) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (pow y 6)) |
(/ (+ (* -1/8 (pow x 6)) (* (pow y 2) (+ (* 1/64 (* (pow y 2) (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))))) (pow y 6)) |
(/ (+ (* -1/8 (pow x 6)) (* (pow y 2) (+ (* 1/4 (pow x 4)) (+ (* 1/2 (pow x 4)) (* (pow y 2) (+ (* 1/64 (* (pow y 2) (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))))) (* 1/64 (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2))))))))))) (pow y 6)) |
(/ (+ (* -1/2 (pow x 2)) (* (pow y 2) (- (* 4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) 2))) (pow y 2)) |
(/ (+ (* -1/2 (pow x 2)) (* (pow y 2) (- (+ (* 4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (+ (* 1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) (* -4 (/ (- (* 4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) 2) (pow x 2)))))) 2))) (pow y 2)) |
(/ (+ (* -1/2 (pow x 2)) (* (pow y 2) (- (+ (* 4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (+ (* 1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (+ (* 8 (/ 1 (pow x 2))) (* (pow y 2) (- (* 1/16 (/ (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))) (pow x 4))) (+ (* -4 (/ (- (+ (* 1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) (* -4 (/ (- (* 4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) 2) (pow x 2)))) (pow x 2))) (+ (* 16 (/ (- (* 4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) 2) (pow x 4))) (* 24 (/ 1 (pow x 4))))))))) (* -4 (/ (- (* 4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) 2) (pow x 2)))))) 2))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 2))) 1))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (+ (* -4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) 1))) (pow y 2)) |
(/ (+ (* -1 (* (pow y 2) (+ 2 (* 4 (/ (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 4)))))) (* 1/2 (pow x 2))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (- (* -1/8 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 6))) (+ (* -8 (/ (* (+ 2 (* 4 (/ (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 4)))) (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4)))) (pow x 6))) (* 4 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow x 4)))))) (+ 2 (* 4 (/ (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 4))))))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (- (+ (* -1/8 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 6))) (* (pow y 2) (- (+ (* -1/8 (/ (+ (* -64 (pow x 2)) (* -4 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 2)))) (pow x 6))) (* 8 (/ 1 (pow x 4)))) (+ (* -8 (/ (* (+ 2 (* 4 (/ (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 4)))) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow x 6))) (* 8 (/ (* (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (- (* -1/8 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 6))) (+ (* -8 (/ (* (+ 2 (* 4 (/ (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 4)))) (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4)))) (pow x 6))) (* 4 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow x 4)))))) (pow x 6))))))) (+ (* -8 (/ (* (+ 2 (* 4 (/ (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 4)))) (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4)))) (pow x 6))) (* 4 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow x 4)))))) (+ 2 (* 4 (/ (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 4))))))) (pow y 2)) |
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* 3 (pow y 2))))) (pow y 4)) |
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ 3 (* -8 (/ (pow y 2) (pow x 2)))))))) (pow y 4)) |
(exp (- (* 2 (log x)) (* -2 (log (/ 1 y))))) |
(- (* 2 (log x)) (* -2 (log (/ 1 y)))) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(/ -1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* -2 (log (/ 1 y)))))))) |
(- (* 1/4 (/ (pow x 4) (* (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* -2 (log (/ 1 y)))))))))) (/ 1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* -2 (log (/ 1 y))))))))) |
(- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))) |
(- (+ 1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) |
(/ (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4)) |
(/ (+ (* -1/4 (/ (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4)))) (pow y 4)) |
(/ (+ (* -1/4 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))))) (* -1/4 (pow x 10))) (pow y 6))) (+ (* -1/4 (/ (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))))) (pow y 4)) |
(- (/ (pow x 2) (pow y 2)) (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (* (pow x 2) (- (pow x 2) (* -1/2 (pow x 2)))) (pow y 4)))))) |
(- (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))) (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (* (pow x 2) (- (+ (* -1 (pow x 4)) (* 1/4 (pow x 4))) (* 1/2 (* (pow x 2) (- (pow x 2) (* -1/2 (pow x 2))))))) (pow y 6))) (* 1/2 (/ (* (pow x 2) (- (pow x 2) (* -1/2 (pow x 2)))) (pow y 4))))))) |
(/ (+ (* -1/64 (pow x 12)) (* 1/64 (/ (* (pow x 12) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 2)))) (pow y 12)) |
(/ (+ (* -1/64 (pow x 12)) (+ (* 1/64 (/ (* (pow x 12) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 2))) (* 1/64 (/ (+ (* -1 (* (pow x 12) (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2))) (* (pow x 12) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (pow y 4))))) (pow y 12)) |
(/ (+ (* -1/64 (pow x 12)) (+ (* 1/64 (/ (* (pow x 12) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* 1/64 (/ (+ (* -1 (* (+ (* -1 (* (pow x 12) (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2))) (* (pow x 12) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* -1 (* (pow x 12) (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))))) (* 1/8 (pow x 18)))) (pow y 6))) (* 1/64 (/ (+ (* -1 (* (pow x 12) (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2))) (* (pow x 12) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (pow y 4)))))) (pow y 12)) |
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4)))))) (+ 1 (+ (* -1 (/ (pow x 4) (pow y 4))) (* -1/2 (/ (pow x 4) (pow y 4)))))) |
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4))))))))) (+ 1 (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (* (pow x 2) (- (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* -1 (pow x 4)) (* -1/2 (pow x 4))))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/2 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 6) (pow y 6))))))))) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4)) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4)))) (pow y 4)) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* -1/32 (/ (pow x 10) (pow y 6))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4))))) (pow y 4)) |
(- (/ (pow x 2) (pow y 2)) (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow y 2))))) |
(- (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow y 2))) (+ (* -1 (/ (+ (* -1/2 (pow x 4)) (pow x 4)) (pow y 4))) (/ (* (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (- (pow x 2) (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (pow y 4)))))) |
(- (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))) (+ 1 (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow y 2))) (+ (* -1 (/ (+ (* -1/2 (pow x 4)) (pow x 4)) (pow y 4))) (+ (* -1 (/ (+ (* 1/2 (pow x 6)) (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4))))) (pow y 6))) (+ (/ (* (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (- (+ (* -1 (pow x 4)) (* 1/4 (pow x 4))) (+ (* -1 (+ (* -1/2 (pow x 4)) (pow x 4))) (* (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (- (pow x 2) (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) (pow y 6)) (+ (/ (* (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (- (pow x 2) (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (pow y 4)) (/ (* (+ (* -1/2 (pow x 4)) (pow x 4)) (- (pow x 2) (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (pow y 6))))))))) |
(/ (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8))) (pow y 8)) |
(/ (+ (* -1/16 (/ (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))) (pow y 4))) (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8)))) (pow y 8)) |
(/ (+ (* -1/16 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))))) (* -1/4 (pow x 14))) (pow y 6))) (+ (* -1/16 (/ (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))) (pow y 4))) (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8))))) (pow y 8)) |
(exp (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(/ -1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))))))) |
(- (* 1/4 (/ (pow x 4) (* (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))))))))) (/ 1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y))))))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 65.0ms | x | @ | 0 | ((exp (- (* (log x) 2) (* (log y) 2))) (- (* (log x) 2) (* (log y) 2)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (exp (- (* (log x) 2) (* (log y) 2))) 1/2) 1)) (+ (* x (/ (* x 1/2) (* y y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* x 1/2) (* y y)) (* x 1/2) (/ (* (/ x y) x) y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (/ (* (/ x y) x) y) 1/2) 1)) (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (* 1/4 (pow (/ x y) 4))) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4) (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (/ x y) 12)) (/ (- (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (/ x y) 12)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -3)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (/ (- (* (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (* 1/4 (pow (/ x y) 4))) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (+ (* (pow (/ x y) 2) 1/2) 1)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8))) |
| 42.0ms | x | @ | -inf | ((exp (- (* (log x) 2) (* (log y) 2))) (- (* (log x) 2) (* (log y) 2)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (exp (- (* (log x) 2) (* (log y) 2))) 1/2) 1)) (+ (* x (/ (* x 1/2) (* y y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* x 1/2) (* y y)) (* x 1/2) (/ (* (/ x y) x) y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (/ (* (/ x y) x) y) 1/2) 1)) (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (* 1/4 (pow (/ x y) 4))) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4) (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (/ x y) 12)) (/ (- (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (/ x y) 12)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -3)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (/ (- (* (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (* 1/4 (pow (/ x y) 4))) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (+ (* (pow (/ x y) 2) 1/2) 1)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8))) |
| 26.0ms | y | @ | -inf | ((exp (- (* (log x) 2) (* (log y) 2))) (- (* (log x) 2) (* (log y) 2)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (exp (- (* (log x) 2) (* (log y) 2))) 1/2) 1)) (+ (* x (/ (* x 1/2) (* y y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* x 1/2) (* y y)) (* x 1/2) (/ (* (/ x y) x) y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (/ (* (/ x y) x) y) 1/2) 1)) (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (* 1/4 (pow (/ x y) 4))) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4) (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (/ x y) 12)) (/ (- (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (/ x y) 12)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -3)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (/ (- (* (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (* 1/4 (pow (/ x y) 4))) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (+ (* (pow (/ x y) 2) 1/2) 1)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8))) |
| 26.0ms | y | @ | 0 | ((exp (- (* (log x) 2) (* (log y) 2))) (- (* (log x) 2) (* (log y) 2)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (exp (- (* (log x) 2) (* (log y) 2))) 1/2) 1)) (+ (* x (/ (* x 1/2) (* y y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* x 1/2) (* y y)) (* x 1/2) (/ (* (/ x y) x) y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (/ (* (/ x y) x) y) 1/2) 1)) (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (* 1/4 (pow (/ x y) 4))) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4) (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (/ x y) 12)) (/ (- (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (/ x y) 12)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -3)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (/ (- (* (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (* 1/4 (pow (/ x y) 4))) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (+ (* (pow (/ x y) 2) 1/2) 1)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8))) |
| 23.0ms | y | @ | inf | ((exp (- (* (log x) 2) (* (log y) 2))) (- (* (log x) 2) (* (log y) 2)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (exp (- (* (log x) 2) (* (log y) 2))) 1/2) 1)) (+ (* x (/ (* x 1/2) (* y y))) -1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (* x 1/2) (* y y)) (* x 1/2) (/ (* (/ x y) x) y) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (/ (* (/ x y) x) y) 1/2) 1)) (+ (* (pow (/ x y) 4) 1/4) -1) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (* 1/4 (pow (/ x y) 4))) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (/ x y) 4) (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (/ x y) 12)) (/ (- (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 3) (pow (/ x y) 12)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -3)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (/ (- (* (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8)) (* 1/4 (pow (/ x y) 4))) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -2)) (+ (* (pow (/ x y) 2) 1/2) 1)) (+ (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1))) (+ (* (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1)) (* (/ (* (pow (/ x y) 4) 1/4) (+ (* (pow (/ x y) 2) 1/2) 1)) (pow (+ (* (pow (/ x y) 2) 1/2) 1) -1))))) (* (pow (/ -1/4 (+ (* (pow (/ x y) 2) 1/2) 1)) 2) (pow (/ x y) 8))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 929 | 4856 |
| 1 | 3129 | 4485 |
| 0 | 8214 | 4288 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (- (* 2 (log x)) (* 2 (log y)))) |
(- (* 2 (log x)) (* 2 (log y))) |
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(/ -1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (log y))))))) |
(- (* 1/4 (/ (pow x 4) (* (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (log y))))))))) (/ 1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (log y)))))))) |
(* 1/2 (/ x (pow y 2))) |
(* 1/2 x) |
(/ (pow x 2) (pow y 2)) |
(- (* 1/4 (/ (pow x 4) (pow y 4))) 1) |
1 |
(+ 1 (* -1 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -3/4 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))))) |
(* 1/4 (/ (pow x 4) (pow y 4))) |
(* (pow x 4) (+ (* -1/4 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* 3/16 (/ (pow x 2) (pow y 8))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 10))) (* 3/16 (/ 1 (pow y 8))))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(- (* 3/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -3/2 (/ (pow x 2) (pow y 4))) (* 3/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 5/4 (/ (pow x 2) (pow y 6))) (* 3/2 (/ 1 (pow y 4))))) (* 3/2 (/ 1 (pow y 2))))) 1) |
(/ (pow x 4) (pow y 4)) |
(* -1/64 (/ (pow x 12) (pow y 12))) |
(* (pow x 12) (- (* 3/128 (/ (pow x 2) (pow y 14))) (* 1/64 (/ 1 (pow y 12))))) |
(* (pow x 12) (- (* (pow x 2) (+ (* -3/128 (/ (pow x 2) (pow y 16))) (* 3/128 (/ 1 (pow y 14))))) (* 1/64 (/ 1 (pow y 12))))) |
(* (pow x 12) (- (* (pow x 2) (+ (* (pow x 2) (- (* 5/256 (/ (pow x 2) (pow y 18))) (* 3/128 (/ 1 (pow y 16))))) (* 3/128 (/ 1 (pow y 14))))) (* 1/64 (/ 1 (pow y 12))))) |
(- (* (pow x 2) (+ (* -1/32 (/ (pow x 10) (pow y 12))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(* (pow x 4) (+ (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 8))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8))))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(* 1/16 (/ (pow x 8) (pow y 8))) |
(* (pow x 8) (+ (* -1/16 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8))))) |
(* (pow x 8) (+ (* (pow x 2) (- (* 3/64 (/ (pow x 2) (pow y 12))) (* 1/16 (/ 1 (pow y 10))))) (* 1/16 (/ 1 (pow y 8))))) |
(* (pow x 8) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 14))) (* 3/64 (/ 1 (pow y 12))))) (* 1/16 (/ 1 (pow y 10))))) (* 1/16 (/ 1 (pow y 8))))) |
(exp (- (* -2 (log (/ 1 x))) (* 2 (log y)))) |
(- (* -2 (log (/ 1 x))) (* 2 (log y))) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(* 1/4 (/ (pow x 4) (* (pow y 4) (+ 1 (* 1/2 (exp (- (* -2 (log (/ 1 x))) (* 2 (log y))))))))) |
(* (pow x 4) (- (* 1/4 (/ 1 (* (pow y 4) (+ 1 (* 1/2 (exp (- (* -2 (log (/ 1 x))) (* 2 (log y))))))))) (/ 1 (* (pow x 4) (+ 1 (* 1/2 (exp (- (* -2 (log (/ 1 x))) (* 2 (log y)))))))))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (pow x 4)))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* (pow x 4) (- (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* (pow x 4) (- (+ (* -4 (/ (pow y 2) (pow x 6))) (+ (* -1/16 (/ (+ (* -64 (pow y 2)) (* 192 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))))) (/ 1 (* (pow x 2) (pow y 2))))) |
(+ 1 (* -4 (/ (pow y 2) (pow x 2)))) |
(+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (* 4 (/ (pow y 4) (pow x 4)))))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (+ (* -1/4 (/ (+ (* -64 (pow y 6)) (* -4 (* (pow y 2) (+ (* -64 (pow y 4)) (* 16 (pow y 4)))))) (pow x 6))) (* 4 (/ (pow y 4) (pow x 4))))))) (* 16 (/ (pow y 6) (pow x 6)))) |
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 4)) (* 4 (pow y 4))) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* -1 (/ (+ (* -16 (pow y 6)) (* -4 (* (pow y 2) (+ (* -16 (pow y 4)) (* 4 (pow y 4)))))) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 4 (/ (pow y 4) (pow x 4)))))) |
(* 1/8 (/ (pow x 6) (pow y 6))) |
(* (pow x 6) (- (* 1/8 (/ 1 (pow y 6))) (* 3/4 (/ 1 (* (pow x 2) (pow y 4)))))) |
(* (pow x 6) (- (+ (* 1/8 (/ 1 (pow y 6))) (/ 3 (* (pow x 4) (pow y 2)))) (/ 3/4 (* (pow x 2) (pow y 4))))) |
(* (pow x 6) (- (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 1/8 (/ 1 (pow y 6)))) (+ (/ 3/4 (* (pow x 2) (pow y 4))) (* 10 (/ 1 (pow x 6)))))) |
(* -1/8 (/ (pow x 6) (pow y 6))) |
(* (pow x 6) (- (* 3/4 (/ 1 (* (pow x 2) (pow y 4)))) (* 1/8 (/ 1 (pow y 6))))) |
(* (pow x 6) (- (/ 3/4 (* (pow x 2) (pow y 4))) (+ (* 1/8 (/ 1 (pow y 6))) (/ 3 (* (pow x 4) (pow y 2)))))) |
(* (pow x 6) (- (+ (/ 3/4 (* (pow x 2) (pow y 4))) (* 10 (/ 1 (pow x 6)))) (+ (* 3 (/ 1 (* (pow x 4) (pow y 2)))) (* 1/8 (/ 1 (pow y 6)))))) |
(* -1/2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 12 (pow y 2)) (+ (* 4 (pow y 2)) (* 8 (pow y 2)))) (pow x 4))) (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -40 (pow y 4)) (+ (* -16 (pow y 4)) (+ (* -4 (* (pow y 2) (- (* 12 (pow y 2)) (+ (* 4 (pow y 2)) (* 8 (pow y 2)))))) (* 2 (* (pow y 2) (+ (* -4 (pow y 2)) (* -1/16 (+ (* -64 (pow y 2)) (* 192 (pow y 2)))))))))) (pow x 6))) (+ (* -1 (/ (- (* 12 (pow y 2)) (+ (* 4 (pow y 2)) (* 8 (pow y 2)))) (pow x 4))) (/ 1 (pow x 2)))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (+ (* 2 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (+ (* -4 (/ (pow y 4) (pow x 6))) (* 1/2 (/ 1 (pow y 2)))) (+ (* -2 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ (* 6 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2)))) (+ (* 2 (/ (pow y 2) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ (* -16 (/ (pow y 4) (pow x 6))) (+ (* 6 (/ (pow y 2) (pow x 4))) (* 1/2 (/ 1 (pow y 2))))) (+ (* -8 (/ (pow y 4) (pow x 6))) (+ (* -2 (/ (* (pow y 2) (- (* 6 (pow y 2)) (+ (* 2 (pow y 2)) (* 4 (pow y 2))))) (pow x 6))) (+ (* 2 (/ (pow y 2) (pow x 4))) (+ (* 4 (/ (* (pow y 4) (+ 4 (* 1/2 (/ (+ (* -4 (pow y 2)) (* -1/16 (+ (* -64 (pow y 2)) (* 192 (pow y 2))))) (pow y 2))))) (pow x 6))) (+ (* 4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))))))) |
(* (pow x 4) (- (+ (* 1/4 (/ 1 (pow y 4))) (/ 3 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* -4 (pow y 2)) (* 12 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 3 (pow x 4)))) (/ 1 (* (pow x 2) (pow y 2))))) |
(exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (log y)))) |
(- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (log y))) |
(* 1/4 (/ (pow x 4) (* (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (log y))))))))) |
(* (pow x 4) (- (* 1/4 (/ 1 (* (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (log y))))))))) (/ 1 (* (pow x 4) (+ 1 (* 1/2 (exp (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (log y)))))))))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(* 1/4 (/ (pow x 4) (* (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (log y))))))))) |
(/ (+ (* -1 (/ (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (log y)))))))) (* 1/4 (/ (pow x 4) (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (log y))))))))) (pow y 4)) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(/ (+ (* -1 (pow y 4)) (* 1/4 (pow x 4))) (pow y 4)) |
(/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4)) |
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* 4 (pow y 2))))) (pow y 4)) |
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ 4 (* -12 (/ (pow y 2) (pow x 2)))))))) (pow y 4)) |
(+ 1 (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -48 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* 12 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -32 (/ (pow y 2) (pow x 6))) (* 12 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2)))))) |
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (- (* -1/2 (pow x 4)) (* 1/4 (pow x 4))))) (pow y 6)) |
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (- (+ (* -1/2 (pow x 4)) (* (pow y 2) (- (* -1/32 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 2))) (* 2 (/ (- (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 2)))))) (* 1/4 (pow x 4))))) (pow y 6)) |
(/ (+ (* 1/8 (pow x 6)) (* (pow y 2) (- (+ (* -1/2 (pow x 4)) (* (pow y 2) (- (+ (* -1/32 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 2))) (* (pow y 2) (- (* -1/32 (/ (+ (* -64 (pow x 2)) (* -4 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 2)))) (pow x 2))) (* 2 (/ (- (* -1/32 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 2))) (* 2 (/ (- (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 2)))) (pow x 2)))))) (* 2 (/ (- (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 2)))))) (* 1/4 (pow x 4))))) (pow y 6)) |
(/ (+ (* -1/8 (pow x 6)) (* (pow y 2) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (pow y 6)) |
(/ (+ (* -1/8 (pow x 6)) (* (pow y 2) (+ (* 1/64 (* (pow y 2) (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))))) (pow y 6)) |
(/ (+ (* -1/8 (pow x 6)) (* (pow y 2) (+ (* 1/4 (pow x 4)) (+ (* 1/2 (pow x 4)) (* (pow y 2) (+ (* 1/64 (* (pow y 2) (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))))) (* 1/64 (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2))))))))))) (pow y 6)) |
(/ (+ (* -1/2 (pow x 2)) (* (pow y 2) (- (* 4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) 2))) (pow y 2)) |
(/ (+ (* -1/2 (pow x 2)) (* (pow y 2) (- (+ (* 4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (+ (* 1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) (* -4 (/ (- (* 4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) 2) (pow x 2)))))) 2))) (pow y 2)) |
(/ (+ (* -1/2 (pow x 2)) (* (pow y 2) (- (+ (* 4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) (* (pow y 2) (- (+ (* 1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (+ (* 8 (/ 1 (pow x 2))) (* (pow y 2) (- (* 1/16 (/ (+ 64 (+ (* -512 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow x 6))) (* -8 (/ (* (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (pow x 6))))) (pow x 4))) (+ (* -4 (/ (- (+ (* 1/16 (/ (+ (* -512 (/ (pow (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) 2) (pow x 6))) (* 64 (+ (* 1/2 (pow x 2)) (pow x 2)))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) (* -4 (/ (- (* 4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) 2) (pow x 2)))) (pow x 2))) (+ (* 16 (/ (- (* 4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) 2) (pow x 4))) (* 24 (/ 1 (pow x 4))))))))) (* -4 (/ (- (* 4 (/ (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (pow x 4))) 2) (pow x 2)))))) 2))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 2))) 1))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (+ (* -4 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) 1))) (pow y 2)) |
(/ (+ (* -1 (* (pow y 2) (+ 2 (* 4 (/ (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 4)))))) (* 1/2 (pow x 2))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (- (* -1/8 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 6))) (+ (* -8 (/ (* (+ 2 (* 4 (/ (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 4)))) (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4)))) (pow x 6))) (* 4 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow x 4)))))) (+ 2 (* 4 (/ (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 4))))))) (pow y 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (- (+ (* -1/8 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 6))) (* (pow y 2) (- (+ (* -1/8 (/ (+ (* -64 (pow x 2)) (* -4 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 2)))) (pow x 6))) (* 8 (/ 1 (pow x 4)))) (+ (* -8 (/ (* (+ 2 (* 4 (/ (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 4)))) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) (pow x 6))) (* 8 (/ (* (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (- (* -1/8 (/ (+ (* -64 (pow x 4)) (* 16 (pow x 4))) (pow x 6))) (+ (* -8 (/ (* (+ 2 (* 4 (/ (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 4)))) (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4)))) (pow x 6))) (* 4 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow x 4)))))) (pow x 6))))))) (+ (* -8 (/ (* (+ 2 (* 4 (/ (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 4)))) (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4)))) (pow x 6))) (* 4 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow x 4)))))) (+ 2 (* 4 (/ (+ (* -1/2 (pow x 4)) (* 1/4 (pow x 4))) (pow x 4))))))) (pow y 2)) |
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* 3 (pow y 2))))) (pow y 4)) |
(/ (+ (* 1/4 (pow x 4)) (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ 3 (* -8 (/ (pow y 2) (pow x 2)))))))) (pow y 4)) |
(exp (- (* 2 (log x)) (* -2 (log (/ 1 y))))) |
(- (* 2 (log x)) (* -2 (log (/ 1 y)))) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(/ -1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* -2 (log (/ 1 y)))))))) |
(- (* 1/4 (/ (pow x 4) (* (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* -2 (log (/ 1 y)))))))))) (/ 1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* -2 (log (/ 1 y))))))))) |
(- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))) |
(- (+ 1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) |
(/ (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4)) |
(/ (+ (* -1/4 (/ (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4)))) (pow y 4)) |
(/ (+ (* -1/4 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))))) (* -1/4 (pow x 10))) (pow y 6))) (+ (* -1/4 (/ (+ (* -1 (pow x 8)) (* 1/4 (pow x 8))) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))))) (pow y 4)) |
(- (/ (pow x 2) (pow y 2)) (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (* (pow x 2) (- (pow x 2) (* -1/2 (pow x 2)))) (pow y 4)))))) |
(- (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))) (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (* (pow x 2) (- (+ (* -1 (pow x 4)) (* 1/4 (pow x 4))) (* 1/2 (* (pow x 2) (- (pow x 2) (* -1/2 (pow x 2))))))) (pow y 6))) (* 1/2 (/ (* (pow x 2) (- (pow x 2) (* -1/2 (pow x 2)))) (pow y 4))))))) |
(/ (+ (* -1/64 (pow x 12)) (* 1/64 (/ (* (pow x 12) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 2)))) (pow y 12)) |
(/ (+ (* -1/64 (pow x 12)) (+ (* 1/64 (/ (* (pow x 12) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 2))) (* 1/64 (/ (+ (* -1 (* (pow x 12) (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2))) (* (pow x 12) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (pow y 4))))) (pow y 12)) |
(/ (+ (* -1/64 (pow x 12)) (+ (* 1/64 (/ (* (pow x 12) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* 1/64 (/ (+ (* -1 (* (+ (* -1 (* (pow x 12) (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2))) (* (pow x 12) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* -1 (* (pow x 12) (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))))) (* 1/8 (pow x 18)))) (pow y 6))) (* 1/64 (/ (+ (* -1 (* (pow x 12) (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2))) (* (pow x 12) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (pow y 4)))))) (pow y 12)) |
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4)))))) (+ 1 (+ (* -1 (/ (pow x 4) (pow y 4))) (* -1/2 (/ (pow x 4) (pow y 4)))))) |
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4))))))))) (+ 1 (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (* (pow x 2) (- (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* -1 (pow x 4)) (* -1/2 (pow x 4))))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/2 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 6) (pow y 6))))))))) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4)) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4)))) (pow y 4)) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* -1/32 (/ (pow x 10) (pow y 6))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4))))) (pow y 4)) |
(- (/ (pow x 2) (pow y 2)) (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow y 2))))) |
(- (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow y 2))) (+ (* -1 (/ (+ (* -1/2 (pow x 4)) (pow x 4)) (pow y 4))) (/ (* (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (- (pow x 2) (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (pow y 4)))))) |
(- (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))) (+ 1 (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow y 2))) (+ (* -1 (/ (+ (* -1/2 (pow x 4)) (pow x 4)) (pow y 4))) (+ (* -1 (/ (+ (* 1/2 (pow x 6)) (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4))))) (pow y 6))) (+ (/ (* (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (- (+ (* -1 (pow x 4)) (* 1/4 (pow x 4))) (+ (* -1 (+ (* -1/2 (pow x 4)) (pow x 4))) (* (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (- (pow x 2) (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) (pow y 6)) (+ (/ (* (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (- (pow x 2) (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (pow y 4)) (/ (* (+ (* -1/2 (pow x 4)) (pow x 4)) (- (pow x 2) (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (pow y 6))))))))) |
(/ (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8))) (pow y 8)) |
(/ (+ (* -1/16 (/ (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))) (pow y 4))) (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8)))) (pow y 8)) |
(/ (+ (* -1/16 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))))) (* -1/4 (pow x 14))) (pow y 6))) (+ (* -1/16 (/ (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))) (pow y 4))) (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8))))) (pow y 8)) |
(exp (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(/ -1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))))))) |
(- (* 1/4 (/ (pow x 4) (* (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))))))))) (/ 1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y))))))))))) |
| Outputs |
|---|
(exp (- (* 2 (log x)) (* 2 (log y)))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(- (* 2 (log x)) (* 2 (log y))) |
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 x) (log.f64 y))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y)) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) |
(/ -1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (log y))))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(- (* 1/4 (/ (pow x 4) (* (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (log y))))))))) (/ 1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (log y)))))))) |
(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(* 1/2 (/ x (pow y 2))) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(- (* 1/4 (/ (pow x 4) (pow y 4))) 1) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (pow x 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) |
(+ 1 (* (pow x 2) (- (/ (pow x 2) (pow y 4)) (/ 1 (pow y 2))))) |
(fma.f64 (-.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -3/4 (/ (pow x 2) (pow y 6))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/4 (/ (pow x 4) (pow y 4))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1/4 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* (pow x 2) (- (* 3/16 (/ (pow x 2) (pow y 8))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 3/16 binary64) (*.f64 x x)) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 10))) (* 3/16 (/ 1 (pow y 8))))) (* 1/4 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 10 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 y #s(literal 8 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(- (* 3/2 (/ (pow x 2) (pow y 2))) 1) |
(-.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 (*.f64 x x) y)) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ (* -3/2 (/ (pow x 2) (pow y 4))) (* 3/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 3/2 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 5/4 (/ (pow x 2) (pow y 6))) (* 3/2 (/ 1 (pow y 4))))) (* 3/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 5/4 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 3/2 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 3/2 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) |
(/ (pow x 4) (pow y 4)) |
(/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* -1/64 (/ (pow x 12) (pow y 12))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/64 binary64)) (pow.f64 y #s(literal 12 binary64))) |
(* (pow x 12) (- (* 3/128 (/ (pow x 2) (pow y 14))) (* 1/64 (/ 1 (pow y 12))))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 3/128 binary64) (*.f64 x x)) (pow.f64 y #s(literal 14 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 12 binary64)))) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (- (* (pow x 2) (+ (* -3/128 (/ (pow x 2) (pow y 16))) (* 3/128 (/ 1 (pow y 14))))) (* 1/64 (/ 1 (pow y 12))))) |
(*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 16 binary64))) #s(literal -3/128 binary64) (/.f64 #s(literal 3/128 binary64) (pow.f64 y #s(literal 14 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 12 binary64)))) (pow.f64 x #s(literal 12 binary64))) |
(* (pow x 12) (- (* (pow x 2) (+ (* (pow x 2) (- (* 5/256 (/ (pow x 2) (pow y 18))) (* 3/128 (/ 1 (pow y 16))))) (* 3/128 (/ 1 (pow y 14))))) (* 1/64 (/ 1 (pow y 12))))) |
(*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 5/256 binary64) (*.f64 x x)) (pow.f64 y #s(literal 18 binary64))) (/.f64 #s(literal 3/128 binary64) (pow.f64 y #s(literal 16 binary64)))) (*.f64 x x) (/.f64 #s(literal 3/128 binary64) (pow.f64 y #s(literal 14 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 12 binary64)))) (pow.f64 x #s(literal 12 binary64))) |
(- (* (pow x 2) (+ (* -1/32 (/ (pow x 10) (pow y 12))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 y #s(literal 12 binary64))) #s(literal -1/32 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) |
(* (pow x 4) (+ (* -1/8 (/ (pow x 2) (pow y 6))) (* 1/4 (/ 1 (pow y 4))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 8))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8))))) (* 1/8 (/ 1 (pow y 6))))) (* 1/4 (/ 1 (pow y 4))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 10 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 8 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/16 (/ (pow x 8) (pow y 8))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/16 binary64)) (pow.f64 y #s(literal 8 binary64))) |
(* (pow x 8) (+ (* -1/16 (/ (pow x 2) (pow y 10))) (* 1/16 (/ 1 (pow y 8))))) |
(*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 10 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ (* (pow x 2) (- (* 3/64 (/ (pow x 2) (pow y 12))) (* 1/16 (/ 1 (pow y 10))))) (* 1/16 (/ 1 (pow y 8))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 3/64 binary64) (*.f64 x x)) (pow.f64 y #s(literal 12 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 10 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/32 (/ (pow x 2) (pow y 14))) (* 3/64 (/ 1 (pow y 12))))) (* 1/16 (/ 1 (pow y 10))))) (* 1/16 (/ 1 (pow y 8))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 14 binary64))) (/.f64 #s(literal 3/64 binary64) (pow.f64 y #s(literal 12 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 10 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64))) |
(exp (- (* -2 (log (/ 1 x))) (* 2 (log y)))) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 y y)) |
(- (* -2 (log (/ 1 x))) (* 2 (log y))) |
(*.f64 #s(literal -2 binary64) (+.f64 (neg.f64 (log.f64 x)) (log.f64 y))) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -8 binary64)) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -8 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))) (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -8 binary64)) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))))) |
(* 1/4 (/ (pow x 4) (* (pow y 4) (+ 1 (* 1/2 (exp (- (* -2 (log (/ 1 x))) (* 2 (log y))))))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(* (pow x 4) (- (* 1/4 (/ 1 (* (pow y 4) (+ 1 (* 1/2 (exp (- (* -2 (log (/ 1 x))) (* 2 (log y))))))))) (/ 1 (* (pow x 4) (+ 1 (* 1/2 (exp (- (* -2 (log (/ 1 x))) (* 2 (log y)))))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (pow x 4)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow y 4))) (/ 1 (* (pow x 2) (pow y 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))) (/ 1 (* (pow x 2) (pow y 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* -4 (/ (pow y 2) (pow x 6))) (+ (* -1/16 (/ (+ (* -64 (pow y 2)) (* 192 (pow y 2))) (pow x 6))) (+ (* 1/4 (/ 1 (pow y 4))) (/ 4 (pow x 4))))) (/ 1 (* (pow x 2) (pow y 2))))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 128 binary64)) #s(literal -1/16 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y y))) (pow.f64 x #s(literal 4 binary64))) |
(+ 1 (* -4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (* 4 (/ (pow y 4) (pow x 4)))))) |
(+.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -48 binary64)))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -64 (pow y 4)) (* 16 (pow y 4))) (pow x 4))) (+ (* -1/4 (/ (+ (* -64 (pow y 6)) (* -4 (* (pow y 2) (+ (* -64 (pow y 4)) (* 16 (pow y 4)))))) (pow x 6))) (* 4 (/ (pow y 4) (pow x 4))))))) (* 16 (/ (pow y 6) (pow x 6)))) |
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(/.f64 (fma.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -3/4 binary64)) (*.f64 (neg.f64 x) x) (*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal -1/4 binary64))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -3/4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 y #s(literal 4 binary64))) |
(- (/ (pow x 2) (pow y 2)) (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))) |
(-.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) y) (/.f64 (*.f64 x x) y)) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (* (pow x 2) (- (pow x 2) (* -1/2 (pow x 2)))) (pow y 4)))))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -3/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(- (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))) (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ (* (pow x 2) (- (+ (* -1 (pow x 4)) (* 1/4 (pow x 4))) (* 1/2 (* (pow x 2) (- (pow x 2) (* -1/2 (pow x 2))))))) (pow y 6))) (* 1/2 (/ (* (pow x 2) (- (pow x 2) (* -1/2 (pow x 2)))) (pow y 4))))))) |
(-.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -3/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) (*.f64 x x)))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(/ (+ (* -1/64 (pow x 12)) (* 1/64 (/ (* (pow x 12) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 2)))) (pow y 12)) |
(/.f64 (*.f64 #s(literal -1/64 binary64) (-.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) y) (/.f64 (pow.f64 x #s(literal 12 binary64)) y)))) (pow.f64 y #s(literal 12 binary64))) |
(/ (+ (* -1/64 (pow x 12)) (+ (* 1/64 (/ (* (pow x 12) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 2))) (* 1/64 (/ (+ (* -1 (* (pow x 12) (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2))) (* (pow x 12) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (pow y 4))))) (pow y 12)) |
(/.f64 (fma.f64 #s(literal 1/64 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) y) (/.f64 (pow.f64 x #s(literal 12 binary64)) y) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 12 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64)))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/64 binary64))) (pow.f64 y #s(literal 12 binary64))) |
(/ (+ (* -1/64 (pow x 12)) (+ (* 1/64 (/ (* (pow x 12) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 2))) (+ (* 1/64 (/ (+ (* -1 (* (+ (* -1 (* (pow x 12) (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2))) (* (pow x 12) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (+ (* 1/2 (pow x 2)) (pow x 2)))) (+ (* -1 (* (pow x 12) (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))))) (* 1/8 (pow x 18)))) (pow y 6))) (* 1/64 (/ (+ (* -1 (* (pow x 12) (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2))) (* (pow x 12) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))))) (pow y 4)))))) (pow y 12)) |
(/.f64 (fma.f64 #s(literal 1/64 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) y) (/.f64 (pow.f64 x #s(literal 12 binary64)) y) (+.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x))) (*.f64 (neg.f64 (pow.f64 x #s(literal 12 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 12 binary64))) (*.f64 #s(literal 3/2 binary64) (*.f64 x x))))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 12 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64)))) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/64 binary64))) (pow.f64 y #s(literal 12 binary64))) |
(- (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4)))))) (+ 1 (+ (* -1 (/ (pow x 4) (pow y 4))) (* -1/2 (/ (pow x 4) (pow y 4)))))) |
(-.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -3/2 binary64) #s(literal 1 binary64))) |
(- (+ (* -1 (/ (* (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (* (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4))) (+ (* 1/2 (pow x 2)) (pow x 2))) (pow y 6))) (+ (* -1 (/ (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2) (pow y 4))) (+ (* 1/8 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ (pow x 4) (pow y 4))))))))) (+ 1 (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (* (pow x 2) (- (+ (* -1 (pow (+ (* 1/2 (pow x 2)) (pow x 2)) 2)) (+ (* 1/4 (pow x 4)) (* 1/2 (pow x 4)))) (+ (* -1 (pow x 4)) (* -1/2 (pow x 4))))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/2 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 6) (pow y 6))))))))) |
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64) (neg.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (*.f64 #s(literal 3/2 binary64) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/8 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/4 binary64)) (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/4 binary64))) (*.f64 x x)))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/2 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (* 1/4 (pow x 4))) (pow y 4)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (/.f64 #s(literal -1/8 binary64) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4)))) (pow y 4)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (/.f64 #s(literal -1/8 binary64) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* -1/8 (/ (pow x 6) (pow y 2))) (+ (* -1/32 (/ (pow x 10) (pow y 6))) (+ (* 1/16 (/ (pow x 8) (pow y 4))) (* 1/4 (pow x 4))))) (pow y 4)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/32 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (/.f64 #s(literal -1/8 binary64) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))))) (pow.f64 y #s(literal 4 binary64))) |
(- (/ (pow x 2) (pow y 2)) (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow y 2))))) |
(-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 x) (log.f64 y)))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y))) |
(- (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow y 2))) (+ (* -1 (/ (+ (* -1/2 (pow x 4)) (pow x 4)) (pow y 4))) (/ (* (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (- (pow x 2) (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (pow y 4)))))) |
(-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -3/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) (/.f64 (fma.f64 (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))) |
(- (+ (* -1 (/ (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4)))) (pow y 6))) (+ (* -1 (/ (pow x 4) (pow y 4))) (+ (* -1/4 (/ (pow x 6) (pow y 6))) (+ (* 1/4 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))))) (+ 1 (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow y 2))) (+ (* -1 (/ (+ (* -1/2 (pow x 4)) (pow x 4)) (pow y 4))) (+ (* -1 (/ (+ (* 1/2 (pow x 6)) (* (pow x 2) (+ (* -1 (pow x 4)) (* 1/4 (pow x 4))))) (pow y 6))) (+ (/ (* (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (- (+ (* -1 (pow x 4)) (* 1/4 (pow x 4))) (+ (* -1 (+ (* -1/2 (pow x 4)) (pow x 4))) (* (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (- (pow x 2) (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) (pow y 6)) (+ (/ (* (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (- (pow x 2) (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (pow y 4)) (/ (* (+ (* -1/2 (pow x 4)) (pow x 4)) (- (pow x 2) (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (pow y 6))))))))) |
(-.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -3/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/4 binary64)) (fma.f64 (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/4 binary64)) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal 6 binary64)))))))) |
(/ (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8))) (pow y 8)) |
(/.f64 (*.f64 #s(literal -1/16 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (*.f64 y y)) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 y #s(literal 8 binary64))) |
(/ (+ (* -1/16 (/ (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))) (pow y 4))) (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8)))) (pow y 8)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -3/4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/16 binary64) (*.f64 #s(literal -1/16 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (*.f64 y y)) (pow.f64 x #s(literal 8 binary64))))) (pow.f64 y #s(literal 8 binary64))) |
(/ (+ (* -1/16 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))))) (* -1/4 (pow x 14))) (pow y 6))) (+ (* -1/16 (/ (+ (* -1 (pow x 12)) (* 1/4 (pow x 12))) (pow y 4))) (+ (* -1/16 (/ (pow x 10) (pow y 2))) (* 1/16 (pow x 8))))) (pow y 8)) |
(/.f64 (fma.f64 #s(literal -1/16 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 14 binary64)) #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -3/4 binary64)) (*.f64 (neg.f64 x) x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -3/4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 10 binary64)) (*.f64 y y)) (pow.f64 x #s(literal 8 binary64))))) (pow.f64 y #s(literal 8 binary64))) |
(exp (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y))))))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (log.f64 x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))) |
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) |
(/ -1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (log.f64 x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(- (* 1/4 (/ (pow x 4) (* (pow y 4) (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y)))))))))))) (/ 1 (+ 1 (* 1/2 (exp (- (* 2 (log x)) (* 2 (+ (log -1) (* -1 (log (/ -1 y))))))))))) |
(-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (log.f64 x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (log.f64 x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 983 |
| 0 | 117 | 848 |
| 1 | 453 | 766 |
| 2 | 3382 | 740 |
| 0 | 8258 | 723 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(pow.f64 (/.f64 x y) #s(literal 4 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (neg.f64 (/.f64 x y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (/.f64 x y)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 x y))) |
(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 (*.f64 x x) (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) |
(*.f64 (*.f64 x x) (pow.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 x (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))) |
(*.f64 x (/.f64 (/.f64 x y) y)) |
(pow.f64 (neg.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (neg.f64 (log.f64 y)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 x y))) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y))))) (exp.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y)))))) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y))) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y))) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x x) (exp.f64 (*.f64 (neg.f64 (neg.f64 (log.f64 y))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) y)) |
(neg.f64 (/.f64 (*.f64 (/.f64 x y) x) (neg.f64 y))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 y)))) (cosh.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 y))))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (/.f64 x y))) (cosh.f64 (log.f64 (/.f64 x y)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (/.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(+.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (neg.f64 (log.f64 y)))) |
(*.f64 #s(literal 2 binary64) (log.f64 (/.f64 x y))) |
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 (neg.f64 (log.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y))) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y))) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (log.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(fma.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64) (log.f64 (/.f64 x y))) |
(fma.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)) (log.f64 (/.f64 x y))) |
(fma.f64 #s(literal 2 binary64) (log.f64 (neg.f64 x)) (*.f64 #s(literal -2 binary64) (log.f64 y))) |
(fma.f64 #s(literal 2 binary64) (log.f64 (neg.f64 x)) (*.f64 (neg.f64 (log.f64 y)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) (neg.f64 (log.f64 y)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal -2 binary64) (log.f64 y))) |
(fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 (neg.f64 (log.f64 y)) #s(literal 2 binary64))) |
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(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1/4 binary64)) (log1p.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64))))) |
(+.f64 (cosh.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1/4 binary64)) (log1p.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64))))) (sinh.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1/4 binary64)) (log1p.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (log.f64 (pow.f64 (/.f64 x y) #s(literal 8 binary64)))))) |
Compiled 181 055 to 5 899 computations (96.7% saved)
17 alts after pruning (10 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 439 | 8 | 1 447 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 443 | 17 | 1 460 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 45.3% | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ✓ | 51.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
| ✓ | 52.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
| ✓ | 47.6% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) |
| 6.4% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 y)))) (cosh.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 y))))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 50.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
| 50.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 #s(approx (- (* (log x) 2) (* (log y) 2)) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 x) (log.f64 y))))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 49.6% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))))))) | |
| 49.6% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))))))) | |
| 49.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) | |
| 49.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) | |
| 49.3% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))))))) | |
| 49.3% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))) | |
| 49.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))))) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 22.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ (* (* 1/2 x) x) (* y y)) 1) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y)))) | |
| ✓ | 51.0% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ✓ | 49.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 2 906 to 694 computations (76.1% saved)
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ (* (* 1/2 x) x) (* y y)) 1) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 #s(approx (- (* (log x) 2) (* (log y) 2)) (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 x) (log.f64 y))))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))))) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 y)))) (cosh.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 y))))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 12 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 8 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
5 calls:
| 49.0ms | y |
| 8.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 7.0ms | x |
| 6.0ms | (*.f64 x x) |
| 5.0ms | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.6% | 2 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 79.8% | 4 | (*.f64 x x) |
| 74.9% | 2 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| 79.8% | 4 | x |
| 79.6% | 2 | y |
Compiled 29 to 21 computations (27.6% saved)
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(approx (- (/ (* (* 1/2 x) x) (* y y)) 1) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 y y)))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
2 calls:
| 3.0ms | y |
| 2.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.5% | 2 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 79.5% | 2 | y |
Compiled 6 to 7 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) |
2 calls:
| 2.0ms | y |
| 2.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.3% | 2 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 79.3% | 2 | y |
Compiled 6 to 7 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64))) |
2 calls:
| 2.0ms | y |
| 2.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 2 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 78.7% | 2 | y |
Compiled 6 to 7 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
2 calls:
| 5.0ms | y |
| 1.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 2 | y |
| 78.4% | 2 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
Compiled 6 to 7 computations (-16.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
5 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.5% | 1 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| 49.5% | 1 | (*.f64 x x) |
| 49.5% | 1 | x |
| 49.5% | 1 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 49.5% | 1 | y |
Compiled 29 to 21 computations (27.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 180623197.4783748 | 3274141222.3711095 |
| 6.0ms | 112× | 0 | valid |
Compiled 449 to 245 computations (45.4% saved)
ival-mult: 2.0ms (53.2% of total)ival-div: 1.0ms (26.6% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 180623197.4783748 | 3274141222.3711095 |
Compiled 442 to 245 computations (44.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 180623197.4783748 | 3274141222.3711095 |
Compiled 442 to 245 computations (44.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 174314363501.3565 | 1542124734345067.8 |
Compiled 18 to 14 computations (22.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 174314363501.3565 | 1542124734345067.8 |
| 21.0ms | 128× | 0 | valid |
Compiled 354 to 206 computations (41.8% saved)
ival-sub: 1.0ms (30.3% of total)ival-div: 1.0ms (30.3% of total)ival-add: 1.0ms (30.3% of total)ival-mult: 1.0ms (30.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 323 |
| 1 | 65 | 323 |
| 2 | 118 | 323 |
| 3 | 231 | 323 |
| 4 | 439 | 323 |
| 5 | 654 | 323 |
| 6 | 907 | 323 |
| 7 | 922 | 323 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal 780000000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal 780000000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
(if (<=.f64 y #s(literal 780000000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 200000000000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 1350000000000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal 780000000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal 780000000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
(if (<=.f64 y #s(literal 780000000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 200000000000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal -1 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) y) #s(literal 1350000000000 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 631 |
| 0 | 71 | 379 |
| 1 | 311 | 338 |
| 2 | 2713 | 305 |
| 0 | 9253 | 294 |
| 0 | 130 | 500 |
| 1 | 368 | 466 |
| 2 | 1228 | 422 |
| 3 | 7037 | 418 |
| 0 | 8248 | 388 |
| 0 | 115 | 440 |
| 1 | 326 | 402 |
| 2 | 1092 | 358 |
| 3 | 6285 | 354 |
| 0 | 8250 | 332 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 323 to 47 computations (85.4% saved)
(abs x)
Compiled 1 236 to 302 computations (75.6% saved)
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