
Time bar (total: 5.3s)
| 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)
| 711.0ms | 8 256× | 0 | valid |
ival-mult: 266.0ms (63.2% of total)ival-div: 56.0ms (13.3% of total)ival-add: 44.0ms (10.5% of total)ival-sub: 37.0ms (8.8% of total)ival-true: 6.0ms (1.4% of total)exact: 5.0ms (1.2% of total)ival-assert: 4.0ms (1% of total)adjust: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 136 | 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))) |
| 18 | 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 | 117 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | overflow | 69 | |
| ↳ | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | overflow | 117 | |
| ↳ | (*.f64 x x) | overflow | 66 | |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | overflow | 69 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | overflow | 117 | |
| ↳ | (*.f64 x x) | overflow | 66 | |
/.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 | 58 | |
| ↳ | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | underflow | 19 | |
| ↳ | (*.f64 x x) | underflow | 70 | |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | underflow | 58 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | underflow | 19 | |
| ↳ | (*.f64 x x) | underflow | 70 | |
-.f64 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | nan-rescue | 18 | 0 |
| ↳ | (*.f64 x x) | overflow | 66 | |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | overflow | 69 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 136 | 0 |
| - | 0 | 120 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 136 | 0 | 0 |
| - | 0 | 0 | 120 |
| number | freq |
|---|---|
| 0 | 120 |
| 1 | 118 |
| 2 | 18 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 104.0ms | 512× | 0 | valid |
Compiled 125 to 31 computations (75.2% saved)
ival-mult: 80.0ms (90% of total)ival-div: 3.0ms (3.4% of total)ival-sub: 2.0ms (2.3% of total)ival-add: 2.0ms (2.3% 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)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 97 |
| 1 | 85 | 97 |
| 2 | 262 | 95 |
| 3 | 549 | 95 |
| 4 | 1080 | 95 |
| 5 | 1534 | 95 |
| 6 | 1670 | 95 |
| 7 | 1676 | 95 |
| 0 | 9 | 19 |
| 0 | 15 | 19 |
| 1 | 30 | 19 |
| 2 | 81 | 19 |
| 3 | 190 | 19 |
| 4 | 392 | 19 |
| 5 | 609 | 19 |
| 6 | 822 | 19 |
| 7 | 838 | 19 |
| 0 | 838 | 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 |
|---|---|---|
| ▶ | 46.9% | (/.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)
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 | 392 | 51 |
| 5 | 609 | 51 |
| 6 | 822 | 51 |
| 7 | 838 | 51 |
| 0 | 838 | 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 | 4.156227294132264 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | |
| accuracy | 33.39952635957308 | (/.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))) |
| 34.0ms | 256× | 0 | valid |
Compiled 53 to 11 computations (79.2% saved)
ival-mult: 5.0ms (54.4% of total)ival-sub: 1.0ms (10.9% of total)ival-div: 1.0ms (10.9% of total)ival-add: 1.0ms (10.9% 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 440 |
| 1 | 326 | 402 |
| 2 | 1170 | 358 |
| 3 | 5984 | 358 |
| 0 | 8127 | 328 |
| 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) |
(fma.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) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.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) |
(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 (*.f64 x x) y) #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 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #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))))) |
(fma.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 #s(literal -8 binary64) y)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #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 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #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 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 4 binary64)) y) 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 (*.f64 x 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 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.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)))))) |
(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 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 40 |
| 0 | 15 | 40 |
| 1 | 52 | 40 |
| 0 | 382 | 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 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) 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))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (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 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -4 binary64) y) y))))) |
(/.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 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.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 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(/.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 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.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 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) y) y)) |
(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 (*.f64 #s(literal -4 binary64) y) y)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal -4 binary64) y) y)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal -4 binary64) y) y)) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) |
(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 (*.f64 #s(literal -4 binary64) y) y)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 #s(literal -4 binary64) y) y)) |
(fma.f64 y (*.f64 #s(literal -4 binary64) y) (*.f64 x x)) |
(fma.f64 x x (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) |
(-.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 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (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 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(+.f64 (*.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))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (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 (-.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 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x))) |
(/.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 4 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -4 binary64) y) y))))) |
(/.f64 (neg.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 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.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 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 #s(literal 4 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) y) 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 (*.f64 #s(literal 4 binary64) y) y)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) y) 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 (*.f64 #s(literal 4 binary64) y) y)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 y (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) |
(fma.f64 x x (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(-.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 (*.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 (fabs.f64 x)) (fabs.f64 x))) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -4 binary64) y) y)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)) (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 (*.f64 #s(literal 4 binary64) y) y) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (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 (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 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))) (fma.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (*.f64 (*.f64 #s(literal 4 binary64) y) y))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(/.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 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(/.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 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (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 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(fma.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(-.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
(+.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 3 758 to 427 computations (88.6% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 129 | 6 | 135 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 130 | 6 | 136 |
| Status | Accuracy | Program |
|---|---|---|
| 47.3% | (fma.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) | |
| ▶ | 46.9% | (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ▶ | 52.9% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))) |
| ▶ | 46.2% | #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))) |
| ▶ | 44.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ▶ | 56.1% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 290 to 150 computations (48.3% saved)
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) y) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) | |
| 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 (*.f64 x x) 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))) | |
| 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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 197 |
| 0 | 47 | 193 |
| 1 | 97 | 189 |
| 2 | 229 | 189 |
| 3 | 591 | 189 |
| 4 | 1582 | 189 |
| 5 | 3620 | 189 |
| 0 | 8159 | 189 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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))) (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))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
#s(literal -1 binary64) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
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))) #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))) (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))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
#s(literal -1 binary64) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
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) |
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 | 2.757782223661162 | (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) | |
| accuracy | 33.39952635957308 | (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 1.7161298319460192 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) | |
| accuracy | 9.177744687242342 | (/.f64 (*.f64 x x) y) | |
| accuracy | 27.055318102127995 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.006191259768442017 | (*.f64 #s(literal -8 binary64) (/.f64 y x)) | |
| accuracy | 0.125 | (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) | |
| accuracy | 34.44055327261226 | #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))) | |
| accuracy | 35.7320668838417 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) | |
| accuracy | 28.11046508479708 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
| 61.0ms | 256× | 0 | valid |
Compiled 179 to 31 computations (82.7% saved)
ival-mult: 14.0ms (41.6% of total)ival-div: 11.0ms (32.7% of total)ival-add: 6.0ms (17.8% of total)ival-sub: 1.0ms (3% of total)exact: 1.0ms (3% 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))) #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 (*.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))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal -4 binary64) y) |
(*.f64 x x) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
| 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) |
(/ (pow x 2) 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)))) |
(* 1/2 (/ (pow x 2) (pow y 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)) |
(/ 1/2 y) |
(* -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 | |
|---|---|---|---|---|
| 32.0ms | y | @ | -inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* 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))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* (* -4 y) y) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* (* -4 y) y) (* x x)) (* -4 y) (* x x) (+ (* (* 4 y) y) (* x x))) |
| 4.0ms | y | @ | 0 | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* 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))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* (* -4 y) y) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* (* -4 y) y) (* x x)) (* -4 y) (* x x) (+ (* (* 4 y) y) (* x x))) |
| 3.0ms | y | @ | inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* 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))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* (* -4 y) y) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* (* -4 y) y) (* x x)) (* -4 y) (* x x) (+ (* (* 4 y) y) (* x x))) |
| 2.0ms | x | @ | 0 | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* 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))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* (* -4 y) y) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* (* -4 y) y) (* x x)) (* -4 y) (* x x) (+ (* (* 4 y) y) (* x x))) |
| 2.0ms | x | @ | inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* 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))) (+ (* (/ 1/2 y) (/ (* x x) y)) -1) (/ 1/2 y) (/ (* x x) y) (/ (+ (* (* -4 y) y) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* (* -4 y) y) (* x x)) (* -4 y) (* x x) (+ (* (* 4 y) y) (* x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 490 |
| 1 | 365 | 454 |
| 2 | 1312 | 430 |
| 3 | 6084 | 426 |
| 0 | 8588 | 394 |
| 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) |
(/ (pow x 2) 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)))) |
(* 1/2 (/ (pow x 2) (pow y 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)) |
(/ 1/2 y) |
(* -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 (*.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) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (/.f64 x (pow.f64 y #s(literal 4 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) |
(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 (*.f64 x x) y) #s(literal -1 binary64))) |
(* -8 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal -8 binary64) x) (*.f64 y (/.f64 y x))) |
(/ (+ (* -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) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* -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 y y) #s(literal 4 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 (/.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 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -4 binary64) (fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 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))))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -8 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -4 binary64) (fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #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)) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 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 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #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 (*.f64 x x) y) #s(literal -1 binary64)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) 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 (*.f64 x 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)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x 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 (*.f64 x x) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x 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 y y) #s(literal 4 binary64) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 177 |
| 0 | 47 | 173 |
| 1 | 182 | 167 |
| 0 | 1348 | 165 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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 (*.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))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal -4 binary64) y) |
(*.f64 x x) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
| 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)) |
#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 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))))) |
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)))) |
(fma.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 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (*.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (*.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal -8 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -8 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.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 2 binary64)) #s(literal -8 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64))) (/.f64 y x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (*.f64 (/.f64 y x) #s(literal -8 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) |
(*.f64 (/.f64 y x) #s(literal -8 binary64)) |
(*.f64 #s(literal -8 binary64) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal -8 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal -8 binary64) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(literal -8 binary64) y)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal -8 binary64) y) x) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(neg.f64 (/.f64 y (neg.f64 x))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) |
(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 (/.f64 (*.f64 x x) y) y) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal -1 binary64)))) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (/.f64 #s(literal 1/2 binary64) y))) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x x) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y))) |
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(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) y) y)) |
(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 (*.f64 #s(literal -4 binary64) y) y)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal -4 binary64) y) y)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal -4 binary64) y) y)) |
(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 (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 (*.f64 #s(literal -4 binary64) y) y)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 #s(literal -4 binary64) y) y)) |
(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 #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 (*.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 x (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) |
(-.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 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (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 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)))) |
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))))) |
(+.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 y) (*.f64 #s(literal 4 binary64) y))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -4 binary64) y) y)) |
(*.f64 (neg.f64 y) #s(literal 4 binary64)) |
(*.f64 #s(literal -4 binary64) y) |
(*.f64 #s(literal 4 binary64) (neg.f64 y)) |
(*.f64 y #s(literal -4 binary64)) |
(neg.f64 (*.f64 #s(literal 4 binary64) y)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 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 (pow.f64 x #s(literal 4 binary64)) (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 (-.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 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 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)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) x) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.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 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) |
(/.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 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) y) 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 (*.f64 #s(literal 4 binary64) y) y)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(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 (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 (*.f64 #s(literal 4 binary64) y) y)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(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 #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 (*.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 x (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)))) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -4 binary64) y) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)) (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 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))) |
(+.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) y)) y)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
Compiled 8 724 to 855 computations (90.2% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 275 | 4 | 279 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 276 | 9 | 285 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.3% | (fma.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
| ✓ | 46.9% | (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ▶ | 57.7% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
| ✓ | 46.2% | #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))) |
| ▶ | 48.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) |
| ▶ | 44.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))))) |
| ▶ | 45.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
| ✓ | 44.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ✓ | 56.1% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 441 to 225 computations (49% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) | |
| cost-diff | 1 | (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 2 | (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 2 | (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) | |
| cost-diff | 1 | (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 2 | (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| cost-diff | 9 | (fma.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x 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 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 453 |
| 0 | 81 | 449 |
| 1 | 155 | 425 |
| 2 | 435 | 417 |
| 3 | 1850 | 417 |
| 4 | 7431 | 417 |
| 0 | 8008 | 402 |
| 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 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
#s(literal -1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
#s(literal -1 binary64) |
(fma.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
x |
(/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
(*.f64 x x) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -4 binary64) y) y) |
(*.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
#s(literal -8 binary64) |
#s(literal 1 binary64) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)))) |
(fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
#s(literal -512 binary64) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) |
#s(literal -8 binary64) |
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
#s(literal -1 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
#s(literal -1 binary64) |
(fma.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
x |
(/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
(*.f64 x x) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal -4 binary64) y) y) |
(*.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
#s(literal -8 binary64) |
#s(literal 1 binary64) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 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 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) |
#s(literal -512 binary64) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 6 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) |
(fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
#s(literal -8 binary64) |
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.18816376953688402 | (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.21875 | (pow.f64 (/.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 27.20853061369229 | (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)))) | |
| accuracy | 34.44055327261226 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))))) | |
| accuracy | 0.18816376953688402 | (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.21875 | (pow.f64 (/.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 24.46247480360699 | (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) | |
| accuracy | 34.44055327261226 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) | |
| accuracy | 0.08984375 | (fma.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) | |
| accuracy | 20.31569904328125 | (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| accuracy | 25.45862364240858 | (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 16.78980808527348 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 27.055318102127995 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0.109375 | (*.f64 (/.f64 x y) x) | |
| accuracy | 1.7161298319460192 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) | |
| accuracy | 27.055318102127995 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
| 124.0ms | 256× | 0 | valid |
Compiled 393 to 50 computations (87.3% saved)
ival-mult: 38.0ms (37.9% of total)ival-pow2: 22.0ms (21.9% of total)ival-add: 18.0ms (18% of total)ival-div: 15.0ms (15% of total)ival-sub: 3.0ms (3% of total)ival-pow: 2.0ms (2% of total)exact: 1.0ms (1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
(*.f64 (/.f64 x y) x) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(fma.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) |
(*.f64 y y) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)))) |
| 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) |
(/ (pow x 2) y) |
(/ (pow x 2) (pow y 2)) |
(pow x 2) |
(* 1/4 (/ x (pow y 2))) |
(* x (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) |
(* x (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(* 64 (/ (pow y 4) (pow x 4))) |
(/ (+ (* -1 (pow x 4)) (* 64 (pow y 4))) (pow x 4)) |
(* -8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(/ (pow y 6) (pow x 6)) |
(/ (+ (* 8 (* (pow x 2) (pow y 2))) (* 64 (pow y 4))) (pow x 4)) |
(/ (+ (* 64 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -8 (pow y 2))))) (pow x 4)) |
(* 8 (/ (pow y 2) (pow x 2))) |
(/ (- (pow x 2) (* -8 (pow y 2))) (pow x 2)) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) 1) |
(/ (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))))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6)))))) |
(/ 1 x) |
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) x) |
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) x) |
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) x) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(- (* 64 (/ (pow y 4) (pow x 4))) 1) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* 8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* 64 (/ (pow y 4) (pow x 4)))) (* -8 (/ (pow y 2) (pow x 2)))) |
(* -4 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2)))) (pow x 2)) |
(/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2))))) (pow x 2)) |
(/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (+ (* 16 (/ (pow y 4) (pow x 2))) (* 256 (/ (pow y 8) (pow x 6)))))) (pow x 2)) |
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x)) |
(* -1 (/ (- (* -16 (/ (pow y 4) (pow x 4))) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) x)) |
(* -1 (/ (- (* 64 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) x)) |
(+ 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)) |
(/ 1/2 y) |
(+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x)) |
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x)) |
(* 4 y) |
(+ 1 (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(pow y 2) |
(* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 256 (/ (pow y 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 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)))))) |
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4)))))) |
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2)) |
(/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2))))) (pow y 2)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(* (pow y 4) (- (* 64 (/ 1 (pow x 4))) (/ 1 (pow y 4)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 4) (+ (* 8 (/ 1 (* (pow x 2) (pow y 2)))) (* 64 (/ 1 (pow x 4))))) |
(* (pow y 4) (+ (* 64 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 8 (* (pow x 2) (pow y 2)))))) |
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))) |
(- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4)))))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | -inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (* (/ x y) x)) -1) (/ 1/2 y) (* (/ x y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* 1/2 (/ (* x x) (* y y))) -1) (/ (* x x) (* y y)) (* x x) (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (pow (* (pow (/ y x) 2) -8) 2) (- (pow (* (pow (/ y x) 2) -8) 2) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (* (pow (/ y x) 2) -8) 2) 1) (+ (* (pow (/ y x) 2) -8) -1)) (pow (pow (/ y x) 2) 3) (+ (- 1 (* (pow (/ y x) 2) -8)) (pow (* (pow (/ y x) 2) -8) 2)) (- 1 (* (pow (/ y x) 2) -8)) (* y y) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (pow (/ y x) 2) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* -512 (pow (pow (/ y x) 2) 3)) 1) (+ (- 1 (* (pow (/ y x) 2) -8)) (pow (* (pow (/ y x) 2) -8) 2)))) |
| 12.0ms | x | @ | 0 | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (* (/ x y) x)) -1) (/ 1/2 y) (* (/ x y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* 1/2 (/ (* x x) (* y y))) -1) (/ (* x x) (* y y)) (* x x) (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (pow (* (pow (/ y x) 2) -8) 2) (- (pow (* (pow (/ y x) 2) -8) 2) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (* (pow (/ y x) 2) -8) 2) 1) (+ (* (pow (/ y x) 2) -8) -1)) (pow (pow (/ y x) 2) 3) (+ (- 1 (* (pow (/ y x) 2) -8)) (pow (* (pow (/ y x) 2) -8) 2)) (- 1 (* (pow (/ y x) 2) -8)) (* y y) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (pow (/ y x) 2) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* -512 (pow (pow (/ y x) 2) 3)) 1) (+ (- 1 (* (pow (/ y x) 2) -8)) (pow (* (pow (/ y x) 2) -8) 2)))) |
| 8.0ms | y | @ | inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (* (/ x y) x)) -1) (/ 1/2 y) (* (/ x y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* 1/2 (/ (* x x) (* y y))) -1) (/ (* x x) (* y y)) (* x x) (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (pow (* (pow (/ y x) 2) -8) 2) (- (pow (* (pow (/ y x) 2) -8) 2) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (* (pow (/ y x) 2) -8) 2) 1) (+ (* (pow (/ y x) 2) -8) -1)) (pow (pow (/ y x) 2) 3) (+ (- 1 (* (pow (/ y x) 2) -8)) (pow (* (pow (/ y x) 2) -8) 2)) (- 1 (* (pow (/ y x) 2) -8)) (* y y) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (pow (/ y x) 2) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* -512 (pow (pow (/ y x) 2) 3)) 1) (+ (- 1 (* (pow (/ y x) 2) -8)) (pow (* (pow (/ y x) 2) -8) 2)))) |
| 7.0ms | y | @ | -inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (* (/ x y) x)) -1) (/ 1/2 y) (* (/ x y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* 1/2 (/ (* x x) (* y y))) -1) (/ (* x x) (* y y)) (* x x) (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (pow (* (pow (/ y x) 2) -8) 2) (- (pow (* (pow (/ y x) 2) -8) 2) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (* (pow (/ y x) 2) -8) 2) 1) (+ (* (pow (/ y x) 2) -8) -1)) (pow (pow (/ y x) 2) 3) (+ (- 1 (* (pow (/ y x) 2) -8)) (pow (* (pow (/ y x) 2) -8) 2)) (- 1 (* (pow (/ y x) 2) -8)) (* y y) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (pow (/ y x) 2) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* -512 (pow (pow (/ y x) 2) 3)) 1) (+ (- 1 (* (pow (/ y x) 2) -8)) (pow (* (pow (/ y x) 2) -8) 2)))) |
| 6.0ms | y | @ | 0 | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 y) (* (/ x y) x)) -1) (/ 1/2 y) (* (/ x y) x) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* 1/2 (/ (* x x) (* y y))) -1) (/ (* x x) (* y y)) (* x x) (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (pow (* (pow (/ y x) 2) -8) 2) (- (pow (* (pow (/ y x) 2) -8) 2) 1) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (pow (* (pow (/ y x) 2) -8) 2) 1) (+ (* (pow (/ y x) 2) -8) -1)) (pow (pow (/ y x) 2) 3) (+ (- 1 (* (pow (/ y x) 2) -8)) (pow (* (pow (/ y x) 2) -8) 2)) (- 1 (* (pow (/ y x) 2) -8)) (* y y) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (pow (/ y x) 2) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* -512 (pow (pow (/ y x) 2) 3)) 1) (+ (- 1 (* (pow (/ y x) 2) -8)) (pow (* (pow (/ y x) 2) -8) 2)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 355 | 1685 |
| 1 | 1087 | 1589 |
| 2 | 4095 | 1564 |
| 0 | 8201 | 1458 |
| 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) |
(/ (pow x 2) y) |
(/ (pow x 2) (pow y 2)) |
(pow x 2) |
(* 1/4 (/ x (pow y 2))) |
(* x (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) |
(* x (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(* 64 (/ (pow y 4) (pow x 4))) |
(/ (+ (* -1 (pow x 4)) (* 64 (pow y 4))) (pow x 4)) |
(* -8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(/ (pow y 6) (pow x 6)) |
(/ (+ (* 8 (* (pow x 2) (pow y 2))) (* 64 (pow y 4))) (pow x 4)) |
(/ (+ (* 64 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -8 (pow y 2))))) (pow x 4)) |
(* 8 (/ (pow y 2) (pow x 2))) |
(/ (- (pow x 2) (* -8 (pow y 2))) (pow x 2)) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) 1) |
(/ (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))))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6)))))) |
(/ 1 x) |
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) x) |
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) x) |
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) x) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(- (* 64 (/ (pow y 4) (pow x 4))) 1) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* 8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* 64 (/ (pow y 4) (pow x 4)))) (* -8 (/ (pow y 2) (pow x 2)))) |
(* -4 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2)))) (pow x 2)) |
(/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2))))) (pow x 2)) |
(/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (+ (* 16 (/ (pow y 4) (pow x 2))) (* 256 (/ (pow y 8) (pow x 6)))))) (pow x 2)) |
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x)) |
(* -1 (/ (- (* -16 (/ (pow y 4) (pow x 4))) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) x)) |
(* -1 (/ (- (* 64 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) x)) |
(+ 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)) |
(/ 1/2 y) |
(+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x)) |
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x)) |
(* 4 y) |
(+ 1 (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(pow y 2) |
(* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 256 (/ (pow y 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 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)))))) |
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4)))))) |
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2)) |
(/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2))))) (pow y 2)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(* (pow y 4) (- (* 64 (/ 1 (pow x 4))) (/ 1 (pow y 4)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 4) (+ (* 8 (/ 1 (* (pow x 2) (pow y 2)))) (* 64 (/ 1 (pow x 4))))) |
(* (pow y 4) (+ (* 64 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 8 (* (pow x 2) (pow y 2)))))) |
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))) |
(- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4)))))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 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 (*.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) |
(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 (*.f64 x 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 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)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64))) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(pow x 2) |
(*.f64 x x) |
(* 1/4 (/ x (pow y 2))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) x) |
(* x (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal 1/4 binary64) x)) (*.f64 y y)) |
(* x (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) x) x (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) x)) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1/4 binary64) y) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 8 binary64)))) #s(literal -1/256 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64)))))) |
(* 4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) |
(* 64 (/ (pow y 4) (pow x 4))) |
(*.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(/ (+ (* -1 (pow x 4)) (* 64 (pow y 4))) (pow x 4)) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* -8 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x)) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(/ (pow y 6) (pow x 6)) |
(/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(/ (+ (* 8 (* (pow x 2) (pow y 2))) (* 64 (pow y 4))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) y) y (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* 64 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -8 (pow y 2))))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y y) (*.f64 x x)) x) x (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* 8 (/ (pow y 2) (pow x 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y) |
(/ (- (pow x 2) (* -8 (pow y 2))) (pow x 2)) |
(fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) 1) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) 1) |
(fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) x) x (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
(/ (pow y 2) (pow x 2)) |
(*.f64 (/.f64 y x) (/.f64 y 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) 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 #s(literal -8 binary64) (pow.f64 y #s(literal 4 binary64))) (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 #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)))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 4 binary64))) (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)) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
(* (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))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(-.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6)))))) |
(-.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) x) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) x) |
(/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))) x) |
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)))) x) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) |
(- (* 64 (/ (pow y 4) (pow x 4))) 1) |
(fma.f64 (/.f64 #s(literal 64 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 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (* 8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) |
(- (+ 1 (* 64 (/ (pow y 4) (pow x 4)))) (* -8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 64 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))) |
(*.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x)) |
(/ (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2)))) (pow x 2)) |
(fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2))))) (pow x 2)) |
(fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))) |
(/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (+ (* 16 (/ (pow y 4) (pow x 2))) (* 256 (/ (pow y 8) (pow x 6)))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -64 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (fma.f64 (/.f64 #s(literal 16 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 (*.f64 #s(literal 256 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x)) |
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 y y) (fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 4 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -16 (/ (pow y 4) (pow x 4))) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) x)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* 64 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (neg.f64 x)) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #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 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -128 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 (*.f64 x x) y) #s(literal -1 binary64)) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x)) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x)) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 5 binary64))) y) y (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 7 binary64)))) #s(literal -64 binary64) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y y) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) |
(* 4 y) |
(*.f64 #s(literal 4 binary64) y) |
(+ 1 (* (pow y 2) (+ (* 64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64)))) #s(literal 64 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y) y (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 y y)) |
(* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) #s(literal -64 binary64) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 y y)) |
(* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 256 (/ (pow y 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 8 binary64)))) #s(literal 256 binary64) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 y y) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 y 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 (*.f64 x 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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x 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)) #s(literal 1/16 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1 binary64)))) |
(- (+ (* -1/8 (/ (pow x 4) (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 (*.f64 x x) y) #s(literal -1 binary64))) |
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4)))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/32 binary64) (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 (*.f64 x x) y) #s(literal -1 binary64)))) |
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal 1/4 binary64) x)) (*.f64 y y)) |
(/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (*.f64 #s(literal 1/4 binary64) x))) (*.f64 y y)) |
(/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2))))) (pow y 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 y y)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 4 binary64)) y) y) |
(* (pow y 4) (- (* 64 (/ 1 (pow x 4))) (/ 1 (pow y 4)))) |
(*.f64 (-.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) |
(* (pow y 4) (+ (* 8 (/ 1 (* (pow x 2) (pow y 2)))) (* 64 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* 64 (/ 1 (pow x 4))) (+ (/ 1 (pow y 4)) (/ 8 (* (pow x 2) (pow y 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) |
(- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 y y)) x) x #s(literal 1 binary64))) |
(- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4)))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 y y)) x) x #s(literal 1 binary64)))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y) (fma.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64))) |
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (*.f64 x x)))) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 362 |
| 0 | 81 | 352 |
| 1 | 318 | 302 |
| 0 | 2438 | 293 |
| 1× | iter limit |
| 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 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
(*.f64 (/.f64 x y) x) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(fma.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
(pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) |
(*.f64 y y) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)))) |
| Outputs |
|---|
#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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #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 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 (*.f64 x x) (neg.f64 y)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 y)) (/.f64 (*.f64 x x) (fabs.f64 y)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) y)) x #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 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #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 x (*.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #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 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) y))) x)) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (/.f64 #s(literal 1/2 binary64) y))) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 x y) x))) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1/2 binary64) y) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) y)) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 y))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y)) |
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) y)) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y)) |
(/.f64 (*.f64 x x) y) |
#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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #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 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 (*.f64 x x) (neg.f64 y)) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 y x) y) x) |
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(exp.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 262144 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 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 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 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 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 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 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 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 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 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 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 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 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 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 (neg.f64 (neg.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 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 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 262144 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 #s(literal -134217728 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 262144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 262144 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (fma.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 262144 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -512 binary64) (/.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (/.f64 #s(literal -512 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 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 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 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 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 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 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(+.f64 (/.f64 (*.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
Compiled 28 459 to 2 388 computations (91.6% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 634 | 5 | 639 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 637 | 11 | 648 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 28.6% | (fma.f64 x (/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
| ✓ | 46.9% | (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ✓ | 57.7% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
| ✓ | 46.2% | #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))) |
| ✓ | 48.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) |
| ▶ | 45.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
| ▶ | 44.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
| ▶ | 22.1% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
| ▶ | 44.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
| ✓ | 44.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ✓ | 56.1% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 609 to 315 computations (48.3% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 2 | (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 7 | (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) | |
| cost-diff | 10 | (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) | |
| cost-diff | 2 | (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 6 | (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 25 | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) | |
| cost-diff | 0 | (fma.f64 x (/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) | |
| cost-diff | 0 | (pow.f64 (/.f64 y x) #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 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 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) | |
| cost-diff | 7 | (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 747 |
| 0 | 104 | 612 |
| 1 | 217 | 605 |
| 2 | 693 | 567 |
| 3 | 4631 | 567 |
| 0 | 8069 | 552 |
| 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 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 4 binary64) |
#s(literal 64 binary64) |
#s(literal -1 binary64) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal -8 binary64) |
(fma.f64 x (/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
x |
(/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) |
#s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64))) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(*.f64 y y) |
y |
#s(literal 4 binary64) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -4 binary64) y) y) |
(*.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
(*.f64 x x) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) |
#s(literal -512 binary64) |
(pow.f64 (/.f64 y x) #s(literal 6 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 6 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
#s(literal 64 binary64) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
#s(literal -8 binary64) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
#s(literal 64 binary64) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 4 binary64) |
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
#s(literal -8 binary64) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) |
(*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
#s(literal -8 binary64) |
#s(literal 1 binary64) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 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 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 4 binary64) |
#s(literal 64 binary64) |
#s(literal -1 binary64) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal -8 binary64) |
(fma.f64 x (/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(fma.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) y) #s(literal -4 binary64) (/.f64 (*.f64 x x) #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)))) |
x |
(/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) |
(/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 #s(literal 4 binary64) y) y))) |
#s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64))) |
#s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(*.f64 (*.f64 #s(literal 4 binary64) y) y) |
(*.f64 y y) |
y |
#s(literal 4 binary64) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) y) #s(literal -4 binary64)) |
(*.f64 (*.f64 #s(literal -4 binary64) y) y) |
(*.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
(*.f64 x x) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal -512 binary64) #s(literal 1 binary64)) |
#s(literal -512 binary64) |
(pow.f64 (/.f64 y x) #s(literal 6 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 6 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(literal 64 binary64) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
#s(literal -8 binary64) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -64 binary64)) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
#s(literal 64 binary64) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 4 binary64) |
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
#s(literal -8 binary64) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) |
(*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) |
(*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
#s(literal -8 binary64) |
#s(literal 1 binary64) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 24.46247480360699 | (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) | |
| accuracy | 27.026770075490838 | (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) | |
| accuracy | 32.687551464061386 | (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) | |
| accuracy | 34.44055327261226 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) | |
| accuracy | 0.24292763675818818 | (pow.f64 (/.f64 y x) #s(literal 4 binary64)) | |
| accuracy | 18.99984312309566 | (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 27.22415561369229 | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) | |
| accuracy | 34.44055327261226 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) | |
| accuracy | 0.24292763675818818 | (pow.f64 (/.f64 y x) #s(literal 4 binary64)) | |
| accuracy | 0.2646102413885915 | (pow.f64 (/.f64 y x) #s(literal 6 binary64)) | |
| accuracy | 27.20853061369229 | (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) | |
| accuracy | 34.44055327261226 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) | |
| accuracy | 0.08984375 | (fma.f64 x (/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) | |
| accuracy | 20.31569904328125 | (/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) | |
| accuracy | 23.804833383322766 | #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64))) | |
| accuracy | 25.45862364240858 | (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| accuracy | 0.21875 | (pow.f64 (/.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 0.24292763675818818 | (pow.f64 (/.f64 y x) #s(literal 4 binary64)) | |
| accuracy | 24.46247480360699 | (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) | |
| accuracy | 34.44055327261226 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
| 288.0ms | 112× | 1 | valid |
| 80.0ms | 144× | 0 | valid |
Compiled 638 to 60 computations (90.6% saved)
ival-cosh: 90.0ms (30.1% of total)adjust: 44.0ms (14.7% of total)ival-sinh: 40.0ms (13.4% of total)ival-mult: 37.0ms (12.4% of total)ival-log: 32.0ms (10.7% of total)ival-div: 18.0ms (6% of total)ival-add: 15.0ms (5% of total)ival-pow2: 8.0ms (2.7% of total)ival-sub: 7.0ms (2.3% of total)ival-pow: 7.0ms (2.3% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
(fma.f64 x (/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) |
#s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64))) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(pow.f64 (/.f64 y x) #s(literal 6 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
(log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
| Outputs |
|---|
(* -8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -8 (pow y 2)) (pow x 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) |
(* 64 (/ (pow y 4) (pow x 4))) |
(/ (+ (* -1 (pow x 4)) (* 64 (pow y 4))) (pow x 4)) |
(/ (pow y 4) (pow x 4)) |
(* 1/4 (/ x (pow y 2))) |
(* x (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) |
(* x (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(* 8 (/ (pow y 2) (pow x 2))) |
(/ (- (pow x 2) (* -8 (pow y 2))) (pow x 2)) |
(* -512 (/ (pow y 6) (pow x 6))) |
(/ (+ (* -512 (pow y 6)) (pow x 6)) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* -64 (* (pow x 2) (pow y 4)))) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* 8 (* (pow x 2) (pow y 2)))))) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -8 (pow y 2))))))) (pow x 6)) |
(/ (+ (* -8 (pow y 2)) (* -1 (pow x 2))) (pow x 2)) |
(+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) |
(* -1/8 (/ (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1)) (pow y 2))) |
(* (pow x 2) (+ (* -1/8 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1) (pow y 2))) (* 1/64 (/ (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1)) (pow y 4))))) |
(* (pow x 2) (+ (* -1/8 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1) (pow y 2))) (* (pow x 2) (- (* -1/512 (/ (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1)) (pow y 6))) (* -1/64 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1) (pow y 4))))))) |
(* (pow x 2) (+ (* -1/8 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1) (pow y 2))) (* (pow x 2) (- (* (pow x 2) (- (* 1/4096 (/ (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1)) (pow y 8))) (* 1/512 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1) (pow y 6))))) (* -1/64 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1) (pow y 4))))))) |
(* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) |
(- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1) |
(/ (pow y 2) (pow x 2)) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) 1) |
(/ (pow y 6) (pow x 6)) |
(+ (log (pow y 2)) (* -2 (log x))) |
1 |
(+ 1 (* -8 (/ (pow y 2) (pow x 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))))) |
(- (* 64 (/ (pow y 4) (pow x 4))) 1) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6)))))) |
(/ 1 x) |
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) x) |
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) x) |
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) x) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* 8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(+ 1 (* -512 (/ (pow y 6) (pow x 6)))) |
(- (+ 1 (* 8 (/ (pow y 2) (pow x 2)))) (* 16 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2))))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2)))))) (+ (* 16 (/ (* (pow y 2) (- (* -64 (pow y 4)) (+ (* 16 (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2))))) (* 64 (pow y 4))))) (pow x 6))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (+ (* 64 (/ (* (pow y 4) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 6))) (* 64 (/ (pow y 4) (pow x 4)))))))) |
(- (+ 1 (* -64 (/ (pow y 4) (pow x 4)))) (* -8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (* -64 (/ (pow y 4) (pow x 4))))) (* -8 (/ (pow y 2) (pow x 2)))) |
(* -64 (/ (pow y 4) (pow x 4))) |
(/ (+ (* -512 (/ (pow y 6) (pow x 2))) (* -64 (pow y 4))) (pow x 4)) |
(- (* -8 (/ (pow y 2) (pow x 2))) 1) |
(+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) |
(* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) |
(+ (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (* 8 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (pow x 2)))) |
(- (+ (* -64 (/ (* (pow y 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (pow x 4))) (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1))) (* -8 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (pow x 2)))) |
(- (+ (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (* 512 (/ (* (pow y 6) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (pow x 6)))) (+ (* -8 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (pow x 2))) (* 64 (/ (* (pow y 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (pow x 4))))) |
(* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) |
(- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1) |
(* -4 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2)))) (pow x 2)) |
(/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2))))) (pow x 2)) |
(/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (+ (* 16 (/ (pow y 4) (pow x 2))) (* 256 (/ (pow y 8) (pow x 6)))))) (pow x 2)) |
(+ (log (pow y 2)) (* 2 (log (/ 1 x)))) |
(* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x)) |
(* -1 (/ (- (* -16 (/ (pow y 4) (pow x 4))) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) x)) |
(* -1 (/ (- (* 64 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) x)) |
(+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) |
(* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) |
(+ (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (* 8 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (pow x 2)))) |
(- (+ (* -64 (/ (* (pow y 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (pow x 4))) (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1))) (* -8 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (pow x 2)))) |
(- (+ (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (* 512 (/ (* (pow y 6) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (pow x 6)))) (+ (* -8 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (pow x 2))) (* 64 (/ (* (pow y 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (pow x 4))))) |
(* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) |
(- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1) |
(+ (log (pow y 2)) (* 2 (log (/ -1 x)))) |
(+ 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)))))) |
(+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x)) |
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x)) |
(+ 1 (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(* (pow y 4) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) |
(+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) |
(* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1)) |
(+ (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1)) (* 8 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1)) (pow x 2)))) |
(+ (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1)) (* (pow y 2) (- (* -64 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1)) (pow x 4))) (* -8 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1) (pow x 2)))))) |
(+ (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1)) (* (pow y 2) (- (* (pow y 2) (- (* 512 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1)) (pow x 6))) (* 64 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1) (pow x 4))))) (* -8 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1) (pow x 2)))))) |
(* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) |
(- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1) |
(* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 256 (/ (pow y 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
(+ (log (/ 1 (pow x 2))) (* 2 (log y))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 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)))))) |
(* (pow y 4) (- (* 64 (/ 1 (pow x 4))) (/ 1 (pow y 4)))) |
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4)))))) |
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2)) |
(/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2))))) (pow y 2)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6))))) |
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* (pow y 2) (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/8 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/4 (pow x 2))))) (pow y 6))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* -1 (* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (* 64 (/ 1 (* (pow x 4) (pow y 2))))))) |
(* (pow y 6) (- (/ 8 (* (pow x 2) (pow y 4))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2)))))) |
(* (pow y 6) (- (+ (* 8 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2)))))) |
(* -1 (* (pow y 6) (+ (* 64 (/ 1 (* (pow x 4) (pow y 2)))) (* 512 (/ 1 (pow x 6)))))) |
(* -1 (* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))) |
(+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) |
(* -1/8 (/ (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1)) (pow y 2))) |
(/ (+ (* -1/8 (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1))) (* 1/64 (/ (* (pow x 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1)) (pow y 2)))) (pow y 2)) |
(/ (+ (* -1/8 (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1))) (+ (* -1/512 (/ (* (pow x 6) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1)) (pow y 4))) (* 1/64 (/ (* (pow x 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1)) (pow y 2))))) (pow y 2)) |
(/ (+ (* -1/8 (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1))) (+ (* -1/512 (/ (* (pow x 6) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1)) (pow y 4))) (+ (* 1/4096 (/ (* (pow x 8) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1)) (pow y 6))) (* 1/64 (/ (* (pow x 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1)) (pow y 2)))))) (pow y 2)) |
(* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) |
(- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1) |
(- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4)))))) |
(+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))) |
(+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) |
(* -1/8 (/ (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 2))) |
(/ (+ (* -1/8 (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1))) (* 1/64 (/ (* (pow x 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 2)))) (pow y 2)) |
(/ (+ (* -1/8 (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1))) (+ (* -1/512 (/ (* (pow x 6) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 4))) (* 1/64 (/ (* (pow x 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 2))))) (pow y 2)) |
(/ (+ (* -1/8 (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1))) (+ (* -1/512 (/ (* (pow x 6) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 4))) (+ (* 1/4096 (/ (* (pow x 8) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 6))) (* 1/64 (/ (* (pow x 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 2)))))) (pow y 2)) |
(* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) |
(- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1) |
(+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 121.0ms | x | @ | 0 | ((/ (+ (* (pow (/ y x) 4) 64) -1) (+ (* (pow (/ y x) 2) -8) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (pow (/ y x) 4) 64) -1) (pow (/ y x) 4) (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* (* y y) 4) (- 1 (* -8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* -512 (pow (/ y x) 6)) 1) (+ (* 64 (pow (/ y x) 4)) (- 1 (* -8 (pow (/ y x) 2))))) (+ (* -512 (pow (/ y x) 6)) 1) (/ (- (* (* 64 (pow (/ y x) 4)) (+ (* -8 (pow (/ y x) 2)) -1)) (* (+ (* -8 (pow (/ y x) 2)) -1) 1)) (* (+ (* -8 (pow (/ y x) 2)) -1) (+ (* -8 (pow (/ y x) 2)) -1))) (- (* (* 64 (pow (/ y x) 4)) (+ (* -8 (pow (/ y x) 2)) -1)) (* (+ (* -8 (pow (/ y x) 2)) -1) 1)) (* (* 64 (pow (/ y x) 4)) (+ (* -8 (pow (/ y x) 2)) -1)) (* (+ (* -8 (pow (/ y x) 2)) -1) 1) (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) (/ (- (pow (* (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) -8) 2) 1) (+ (* (pow (/ y x) 2) -8) -1)) (pow (* (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) -8) 2) (- (pow (* (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) -8) 2) 1) (pow (/ y x) 2) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (pow (/ y x) 6) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (log (pow (/ y x) 2))) |
| 61.0ms | y | @ | 0 | ((/ (+ (* (pow (/ y x) 4) 64) -1) (+ (* (pow (/ y x) 2) -8) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (pow (/ y x) 4) 64) -1) (pow (/ y x) 4) (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* (* y y) 4) (- 1 (* -8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* -512 (pow (/ y x) 6)) 1) (+ (* 64 (pow (/ y x) 4)) (- 1 (* -8 (pow (/ y x) 2))))) (+ (* -512 (pow (/ y x) 6)) 1) (/ (- (* (* 64 (pow (/ y x) 4)) (+ (* -8 (pow (/ y x) 2)) -1)) (* (+ (* -8 (pow (/ y x) 2)) -1) 1)) (* (+ (* -8 (pow (/ y x) 2)) -1) (+ (* -8 (pow (/ y x) 2)) -1))) (- (* (* 64 (pow (/ y x) 4)) (+ (* -8 (pow (/ y x) 2)) -1)) (* (+ (* -8 (pow (/ y x) 2)) -1) 1)) (* (* 64 (pow (/ y x) 4)) (+ (* -8 (pow (/ y x) 2)) -1)) (* (+ (* -8 (pow (/ y x) 2)) -1) 1) (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) (/ (- (pow (* (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) -8) 2) 1) (+ (* (pow (/ y x) 2) -8) -1)) (pow (* (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) -8) 2) (- (pow (* (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) -8) 2) 1) (pow (/ y x) 2) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (pow (/ y x) 6) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (log (pow (/ y x) 2))) |
| 53.0ms | y | @ | inf | ((/ (+ (* (pow (/ y x) 4) 64) -1) (+ (* (pow (/ y x) 2) -8) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (pow (/ y x) 4) 64) -1) (pow (/ y x) 4) (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* (* y y) 4) (- 1 (* -8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* -512 (pow (/ y x) 6)) 1) (+ (* 64 (pow (/ y x) 4)) (- 1 (* -8 (pow (/ y x) 2))))) (+ (* -512 (pow (/ y x) 6)) 1) (/ (- (* (* 64 (pow (/ y x) 4)) (+ (* -8 (pow (/ y x) 2)) -1)) (* (+ (* -8 (pow (/ y x) 2)) -1) 1)) (* (+ (* -8 (pow (/ y x) 2)) -1) (+ (* -8 (pow (/ y x) 2)) -1))) (- (* (* 64 (pow (/ y x) 4)) (+ (* -8 (pow (/ y x) 2)) -1)) (* (+ (* -8 (pow (/ y x) 2)) -1) 1)) (* (* 64 (pow (/ y x) 4)) (+ (* -8 (pow (/ y x) 2)) -1)) (* (+ (* -8 (pow (/ y x) 2)) -1) 1) (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) (/ (- (pow (* (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) -8) 2) 1) (+ (* (pow (/ y x) 2) -8) -1)) (pow (* (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) -8) 2) (- (pow (* (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) -8) 2) 1) (pow (/ y x) 2) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (pow (/ y x) 6) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (log (pow (/ y x) 2))) |
| 48.0ms | x | @ | inf | ((/ (+ (* (pow (/ y x) 4) 64) -1) (+ (* (pow (/ y x) 2) -8) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (pow (/ y x) 4) 64) -1) (pow (/ y x) 4) (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* (* y y) 4) (- 1 (* -8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* -512 (pow (/ y x) 6)) 1) (+ (* 64 (pow (/ y x) 4)) (- 1 (* -8 (pow (/ y x) 2))))) (+ (* -512 (pow (/ y x) 6)) 1) (/ (- (* (* 64 (pow (/ y x) 4)) (+ (* -8 (pow (/ y x) 2)) -1)) (* (+ (* -8 (pow (/ y x) 2)) -1) 1)) (* (+ (* -8 (pow (/ y x) 2)) -1) (+ (* -8 (pow (/ y x) 2)) -1))) (- (* (* 64 (pow (/ y x) 4)) (+ (* -8 (pow (/ y x) 2)) -1)) (* (+ (* -8 (pow (/ y x) 2)) -1) 1)) (* (* 64 (pow (/ y x) 4)) (+ (* -8 (pow (/ y x) 2)) -1)) (* (+ (* -8 (pow (/ y x) 2)) -1) 1) (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) (/ (- (pow (* (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) -8) 2) 1) (+ (* (pow (/ y x) 2) -8) -1)) (pow (* (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) -8) 2) (- (pow (* (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) -8) 2) 1) (pow (/ y x) 2) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (pow (/ y x) 6) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (log (pow (/ y x) 2))) |
| 17.0ms | y | @ | -inf | ((/ (+ (* (pow (/ y x) 4) 64) -1) (+ (* (pow (/ y x) 2) -8) -1)) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (pow (/ y x) 4) 64) -1) (pow (/ y x) 4) (+ (* x (/ x (+ (* (* 4 y) y) (* x x)))) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x)))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* (* y y) 4) (- 1 (* -8 (pow (/ y x) 2))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (+ (* -512 (pow (/ y x) 6)) 1) (+ (* 64 (pow (/ y x) 4)) (- 1 (* -8 (pow (/ y x) 2))))) (+ (* -512 (pow (/ y x) 6)) 1) (/ (- (* (* 64 (pow (/ y x) 4)) (+ (* -8 (pow (/ y x) 2)) -1)) (* (+ (* -8 (pow (/ y x) 2)) -1) 1)) (* (+ (* -8 (pow (/ y x) 2)) -1) (+ (* -8 (pow (/ y x) 2)) -1))) (- (* (* 64 (pow (/ y x) 4)) (+ (* -8 (pow (/ y x) 2)) -1)) (* (+ (* -8 (pow (/ y x) 2)) -1) 1)) (* (* 64 (pow (/ y x) 4)) (+ (* -8 (pow (/ y x) 2)) -1)) (* (+ (* -8 (pow (/ y x) 2)) -1) 1) (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) (/ (- (pow (* (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) -8) 2) 1) (+ (* (pow (/ y x) 2) -8) -1)) (pow (* (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) -8) 2) (- (pow (* (+ (cosh (log (pow (/ y x) 2))) (sinh (log (pow (/ y x) 2)))) -8) 2) 1) (pow (/ y x) 2) (/ (* (* -4 y) y) (+ (* (* 4 y) y) (* x x))) (pow (/ y x) 6) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (log (pow (/ y x) 2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 652 | 7327 |
| 1 | 2033 | 6509 |
| 0 | 8337 | 6269 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -8 (pow y 2)) (pow x 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) |
(* 64 (/ (pow y 4) (pow x 4))) |
(/ (+ (* -1 (pow x 4)) (* 64 (pow y 4))) (pow x 4)) |
(/ (pow y 4) (pow x 4)) |
(* 1/4 (/ x (pow y 2))) |
(* x (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) |
(* x (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 8))) (* 1/64 (/ 1 (pow y 6))))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) |
(* 4 (pow y 2)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(* 8 (/ (pow y 2) (pow x 2))) |
(/ (- (pow x 2) (* -8 (pow y 2))) (pow x 2)) |
(* -512 (/ (pow y 6) (pow x 6))) |
(/ (+ (* -512 (pow y 6)) (pow x 6)) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* -64 (* (pow x 2) (pow y 4)))) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* 8 (* (pow x 2) (pow y 2)))))) (pow x 6)) |
(/ (+ (* -512 (pow y 6)) (* (pow x 2) (+ (* -64 (pow y 4)) (* (pow x 2) (- (pow x 2) (* -8 (pow y 2))))))) (pow x 6)) |
(/ (+ (* -8 (pow y 2)) (* -1 (pow x 2))) (pow x 2)) |
(+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) |
(* -1/8 (/ (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1)) (pow y 2))) |
(* (pow x 2) (+ (* -1/8 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1) (pow y 2))) (* 1/64 (/ (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1)) (pow y 4))))) |
(* (pow x 2) (+ (* -1/8 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1) (pow y 2))) (* (pow x 2) (- (* -1/512 (/ (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1)) (pow y 6))) (* -1/64 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1) (pow y 4))))))) |
(* (pow x 2) (+ (* -1/8 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1) (pow y 2))) (* (pow x 2) (- (* (pow x 2) (- (* 1/4096 (/ (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1)) (pow y 8))) (* 1/512 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1) (pow y 6))))) (* -1/64 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1) (pow y 4))))))) |
(* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) |
(- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* -2 (log x)))) (/ 1 (exp (+ (log (pow y 2)) (* -2 (log x)))))))) 2)) 1) |
(/ (pow y 2) (pow x 2)) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 6))) (* 1/16 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) 1) |
(/ (pow y 6) (pow x 6)) |
(+ (log (pow y 2)) (* -2 (log x))) |
1 |
(+ 1 (* -8 (/ (pow y 2) (pow x 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))))) |
(- (* 64 (/ (pow y 4) (pow x 4))) 1) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(- (+ 1 (+ (* -64 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) (+ (* -16 (/ (pow y 4) (pow x 4))) (+ (* 4 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 6) (pow x 6)))))) |
(/ 1 x) |
(/ (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) x) |
(/ (- (+ 1 (* 16 (/ (pow y 4) (pow x 4)))) (* 4 (/ (pow y 2) (pow x 2)))) x) |
(/ (- (+ 1 (* -64 (/ (pow y 6) (pow x 6)))) (+ (* -16 (/ (pow y 4) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) x) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* 8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* -1 (/ (+ (* -64 (pow y 4)) (* 64 (pow y 4))) (pow x 4)))) (* 8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (* 8 (/ (* (pow y 2) (+ (* -64 (pow y 4)) (* 64 (pow y 4)))) (pow x 6)))) (+ (* -64 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(+ 1 (* -512 (/ (pow y 6) (pow x 6)))) |
(- (+ 1 (* 8 (/ (pow y 2) (pow x 2)))) (* 16 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2))))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (* 64 (/ (pow y 4) (pow x 4)))))) |
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (+ (* -64 (/ (pow y 4) (pow x 4))) (* 8 (/ (pow y 2) (pow x 2)))))) (+ (* 16 (/ (* (pow y 2) (- (* -64 (pow y 4)) (+ (* 16 (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2))))) (* 64 (pow y 4))))) (pow x 6))) (+ (* 16 (/ (* (pow y 2) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 4))) (+ (* 16 (/ (pow y 2) (pow x 2))) (+ (* 64 (/ (* (pow y 4) (- (* 8 (pow y 2)) (* 16 (pow y 2)))) (pow x 6))) (* 64 (/ (pow y 4) (pow x 4)))))))) |
(- (+ 1 (* -64 (/ (pow y 4) (pow x 4)))) (* -8 (/ (pow y 2) (pow x 2)))) |
(- (+ 1 (+ (* -512 (/ (pow y 6) (pow x 6))) (* -64 (/ (pow y 4) (pow x 4))))) (* -8 (/ (pow y 2) (pow x 2)))) |
(* -64 (/ (pow y 4) (pow x 4))) |
(/ (+ (* -512 (/ (pow y 6) (pow x 2))) (* -64 (pow y 4))) (pow x 4)) |
(- (* -8 (/ (pow y 2) (pow x 2))) 1) |
(+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) |
(* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) |
(+ (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (* 8 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (pow x 2)))) |
(- (+ (* -64 (/ (* (pow y 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (pow x 4))) (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1))) (* -8 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (pow x 2)))) |
(- (+ (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (* 512 (/ (* (pow y 6) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (pow x 6)))) (+ (* -8 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (pow x 2))) (* 64 (/ (* (pow y 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1)) (pow x 4))))) |
(* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) |
(- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ 1 x))))))))) 2)) 1) |
(* -4 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2)))) (pow x 2)) |
(/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2))))) (pow x 2)) |
(/ (+ (* -64 (/ (pow y 6) (pow x 4))) (+ (* -4 (pow y 2)) (+ (* 16 (/ (pow y 4) (pow x 2))) (* 256 (/ (pow y 8) (pow x 6)))))) (pow x 2)) |
(+ (log (pow y 2)) (* 2 (log (/ 1 x)))) |
(* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x)) |
(* -1 (/ (- (* -16 (/ (pow y 4) (pow x 4))) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) x)) |
(* -1 (/ (- (* 64 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (pow y 4) (pow x 4)))))) x)) |
(+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) |
(* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) |
(+ (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (* 8 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (pow x 2)))) |
(- (+ (* -64 (/ (* (pow y 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (pow x 4))) (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1))) (* -8 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (pow x 2)))) |
(- (+ (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (* 512 (/ (* (pow y 6) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (pow x 6)))) (+ (* -8 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (pow x 2))) (* 64 (/ (* (pow y 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1)) (pow x 4))))) |
(* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) |
(- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x)))))))) (* 1/2 (- (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))) (/ 1 (exp (+ (log (pow y 2)) (* 2 (log (/ -1 x))))))))) 2)) 1) |
(+ (log (pow y 2)) (* 2 (log (/ -1 x)))) |
(+ 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)))))) |
(+ (* -4 (/ (pow y 2) (pow x 3))) (/ 1 x)) |
(+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 5))) (* 4 (/ 1 (pow x 3))))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 7))) (* 16 (/ 1 (pow x 5))))) (* 4 (/ 1 (pow x 3))))) (/ 1 x)) |
(+ 1 (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (+ (* (pow y 2) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(* (pow y 4) (- (* -512 (/ (pow y 2) (pow x 6))) (* 64 (/ 1 (pow x 4))))) |
(+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) |
(* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1)) |
(+ (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1)) (* 8 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1)) (pow x 2)))) |
(+ (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1)) (* (pow y 2) (- (* -64 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1)) (pow x 4))) (* -8 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1) (pow x 2)))))) |
(+ (* -1 (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1)) (* (pow y 2) (- (* (pow y 2) (- (* 512 (/ (* (pow y 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1)) (pow x 6))) (* 64 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1) (pow x 4))))) (* -8 (/ (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1) (pow x 2)))))) |
(* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) |
(- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* 2 (log y)))))))) 2)) 1) |
(* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 256 (/ (pow y 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
(+ (log (/ 1 (pow x 2))) (* 2 (log y))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 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)))))) |
(* (pow y 4) (- (* 64 (/ 1 (pow x 4))) (/ 1 (pow y 4)))) |
(- (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/32 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/8 (/ (pow x 4) (pow y 4)))))) |
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2)) |
(/ (- (+ (* 1/64 (/ (pow x 5) (pow y 4))) (* 1/4 x)) (* 1/16 (/ (pow x 3) (pow y 2)))) (pow y 2)) |
(/ (- (+ (* -1/256 (/ (pow x 7) (pow y 6))) (* 1/4 x)) (+ (* -1/64 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2))))) (pow y 2)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2)))) |
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow y 4))) (/ 1 (pow y 2))) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (+ (* 1/8 (/ (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) (pow y 6))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* (pow y 6) (- (/ 1 (pow y 6)) (* 512 (/ 1 (pow x 6))))) |
(* (pow y 2) (- (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* (pow y 2) (- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/8 (pow x 2)) (+ (* -1/8 (pow x 2)) (* 1/4 (pow x 2))))) (pow y 6))) (+ (* 1/8 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (+ (* 1/4 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow x 2))))))) |
(* -1 (* (pow y 6) (+ (* 512 (/ 1 (pow x 6))) (* 64 (/ 1 (* (pow x 4) (pow y 2))))))) |
(* (pow y 6) (- (/ 8 (* (pow x 2) (pow y 4))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2)))))) |
(* (pow y 6) (- (+ (* 8 (/ 1 (* (pow x 2) (pow y 4)))) (/ 1 (pow y 6))) (+ (* 512 (/ 1 (pow x 6))) (/ 64 (* (pow x 4) (pow y 2)))))) |
(* -1 (* (pow y 6) (+ (* 64 (/ 1 (* (pow x 4) (pow y 2)))) (* 512 (/ 1 (pow x 6)))))) |
(* -1 (* (pow y 2) (+ (* 8 (/ 1 (pow x 2))) (/ 1 (pow y 2))))) |
(+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) |
(* -1/8 (/ (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1)) (pow y 2))) |
(/ (+ (* -1/8 (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1))) (* 1/64 (/ (* (pow x 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1)) (pow y 2)))) (pow y 2)) |
(/ (+ (* -1/8 (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1))) (+ (* -1/512 (/ (* (pow x 6) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1)) (pow y 4))) (* 1/64 (/ (* (pow x 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1)) (pow y 2))))) (pow y 2)) |
(/ (+ (* -1/8 (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1))) (+ (* -1/512 (/ (* (pow x 6) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1)) (pow y 4))) (+ (* 1/4096 (/ (* (pow x 8) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1)) (pow y 6))) (* 1/64 (/ (* (pow x 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1)) (pow y 2)))))) (pow y 2)) |
(* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) |
(- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y))))))))) 2)) 1) |
(- (* -1/16 (/ (pow x 4) (pow y 4))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (* 1/64 (/ (pow x 6) (pow y 6))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/16 (/ (pow x 4) (pow y 4)))))) |
(+ (log (/ 1 (pow x 2))) (* -2 (log (/ 1 y)))) |
(+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) |
(* -1/8 (/ (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 2))) |
(/ (+ (* -1/8 (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1))) (* 1/64 (/ (* (pow x 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 2)))) (pow y 2)) |
(/ (+ (* -1/8 (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1))) (+ (* -1/512 (/ (* (pow x 6) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 4))) (* 1/64 (/ (* (pow x 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 2))))) (pow y 2)) |
(/ (+ (* -1/8 (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1))) (+ (* -1/512 (/ (* (pow x 6) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 4))) (+ (* 1/4096 (/ (* (pow x 8) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 6))) (* 1/64 (/ (* (pow x 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 2)))))) (pow y 2)) |
(* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) |
(- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1) |
(+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))) |
| Outputs |
|---|
(* -8 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 (*.f64 y y) x)) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
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(/ (+ (* -1/8 (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1))) (+ (* -1/512 (/ (* (pow x 6) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 4))) (* 1/64 (/ (* (pow x 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 2))))) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64))) (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 y y)) |
(/ (+ (* -1/8 (* (pow x 2) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1))) (+ (* -1/512 (/ (* (pow x 6) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 4))) (+ (* 1/4096 (/ (* (pow x 8) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 6))) (* 1/64 (/ (* (pow x 4) (- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1)) (pow y 2)))))) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64))) (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))))) (*.f64 y y)) |
(* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) |
(*.f64 (pow.f64 (*.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 64 binary64)) |
(- (* 64 (pow (+ (* 1/2 (+ (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))))))) (* 1/2 (- (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))) (/ 1 (exp (+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y))))))))) 2)) 1) |
(-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) |
(+ (log (/ 1 (pow x 2))) (* -2 (log (/ -1 y)))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64) (neg.f64 (log.f64 (*.f64 x x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 549 |
| 0 | 104 | 412 |
| 1 | 424 | 335 |
| 0 | 3468 | 329 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 4 binary64)) |
(fma.f64 x (/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) |
#s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64))) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(pow.f64 (/.f64 y x) #s(literal 6 binary64)) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
(log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(fma.f64 (*.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -8 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (fabs.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64) (log.f64 #s(literal -8 binary64)))) (exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64) (log.f64 #s(literal -8 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 #s(literal -8 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal -8 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 64 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) |
(expm1.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64) (log.f64 #s(literal -8 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))) |
(expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64) (log.f64 #s(literal -8 binary64))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 64 binary64))) |
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (neg.f64 (/.f64 y x)) (neg.f64 (/.f64 y x))) |
(*.f64 (fabs.f64 (/.f64 y x)) (fabs.f64 (/.f64 y x))) |
(*.f64 (exp.f64 (log.f64 (/.f64 y x))) (exp.f64 (log.f64 (/.f64 y x)))) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y x))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y x))) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 y x)) (neg.f64 x)) |
(/.f64 (*.f64 y (/.f64 y x)) x) |
(/.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 y x) y) x) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 y (neg.f64 y)) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal 4 binary64)) #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal 4 binary64)) #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (/.f64 y x))) (cosh.f64 (log.f64 (/.f64 y x)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(+.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (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 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x))) |
(*.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 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.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 x x) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 #s(literal -4 binary64) y)) |
(*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 #s(literal -4 binary64) (*.f64 y (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
(*.f64 y (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 y (*.f64 #s(literal -4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y))) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal -4 binary64) y) y)))) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fabs.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y x))) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 6 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 6 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 6 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 6 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y x))) |
(/.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 4 binary64)) #s(literal 2 binary64)) |
(fma.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)) (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x))) (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)))) |
(+.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64))) |
(+.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x))) |
(log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
Compiled 42 005 to 3 035 computations (92.8% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 640 | 6 | 646 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 6 | 6 |
| Total | 644 | 13 | 657 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 28.6% | (fma.f64 x (/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
| ✓ | 46.9% | (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ✓ | 57.7% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
| ✓ | 46.2% | #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))) |
| ✓ | 48.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) |
| 45.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 #s(approx (pow (/ y x) 2) (*.f64 (/.f64 y x) (/.f64 y x))) #s(literal -8 binary64) #s(literal -1 binary64)))) | |
| 44.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))))) | |
| 10.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) | |
| 10.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) | |
| 22.1% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) | |
| 44.8% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal -8 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) | |
| ✓ | 44.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ✓ | 56.1% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 1 552 to 414 computations (73.3% 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 #s(literal 1/2 binary64) (/.f64 (*.f64 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 (/.f64 x 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 (*.f64 x x) y) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) 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))) |
(fma.f64 x (/.f64 x #s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(fma.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 #s(approx (pow (/ y x) 2) (*.f64 (/.f64 y x) (/.f64 y x))) #s(literal -8 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (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 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal -8 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (fma.f64 #s(literal -512 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64))) (pow.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 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))) |
5 calls:
| 19.0ms | (/.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))) |
| 6.0ms | y |
| 6.0ms | x |
| 5.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 5.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 3 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 84.1% | 4 | (*.f64 x x) |
| 76.6% | 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))) |
| 84.1% | 4 | x |
| 82.0% | 3 | 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 #s(literal 1/2 binary64) (/.f64 (*.f64 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 (/.f64 x 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 (*.f64 x x) y) #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 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
4 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.3% | 2 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 79.3% | 2 | y |
| 79.2% | 4 | (*.f64 x x) |
| 79.2% | 4 | x |
Compiled 10 to 12 computations (-20% 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 #s(literal 1/2 binary64) (/.f64 (*.f64 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))) #s(literal -1 binary64)) |
2 calls:
| 21.0ms | y |
| 2.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 2 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 78.8% | 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 #s(literal 1/2 binary64) (/.f64 (*.f64 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))) #s(literal -1 binary64)) |
2 calls:
| 2.0ms | y |
| 1.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 2 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 77.9% | 2 | 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 x x) |
| 1.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 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 |
|---|---|---|
| 56.1% | 1 | (*.f64 x x) |
| 56.1% | 1 | x |
| 56.1% | 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))) |
| 56.1% | 1 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 56.1% | 1 | y |
Compiled 29 to 21 computations (27.6% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.3480822134835212e+116 | 3.574006608499285e+116 |
| 38.0ms | 3.101774918508784e+47 | 2.9092021864478756e+51 |
| 2.0ms | 2.4173226968599028e-146 | 2.5592971056107894e-146 |
| 38.0ms | 224× | 0 | valid |
Compiled 745 to 431 computations (42.1% saved)
ival-mult: 29.0ms (87.8% of total)ival-sub: 1.0ms (3% of total)ival-div: 1.0ms (3% of total)ival-add: 1.0ms (3% 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)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.351873573096112e-16 | 2.1303126769035528e-13 |
| 8.0ms | 128× | 0 | valid |
Compiled 502 to 278 computations (44.6% saved)
ival-mult: 2.0ms (40.5% of total)ival-sub: 1.0ms (20.2% of total)ival-div: 1.0ms (20.2% of total)ival-add: 1.0ms (20.2% 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)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.351873573096112e-16 | 2.1303126769035528e-13 |
Compiled 430 to 238 computations (44.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.351873573096112e-16 | 2.1303126769035528e-13 |
Compiled 358 to 206 computations (42.5% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 305 |
| 1 | 66 | 305 |
| 2 | 119 | 305 |
| 3 | 237 | 305 |
| 4 | 469 | 305 |
| 5 | 855 | 305 |
| 6 | 3140 | 305 |
| 7 | 6346 | 305 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal 688896174789427/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) (if (<=.f64 x #s(literal 299999999999999981350934654997039981640924279078912 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (if (<=.f64 x #s(literal 134999999999999997726019727911999959531202734349100562798580166571737687605700807120867029239779558989261493871050752 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 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)))))) |
(if (<=.f64 y #s(literal 5387515050969975/79228162514264337593543950336 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 (/.f64 x y) x) #s(literal -1 binary64)))) |
(if (<=.f64 y #s(literal 5387515050969975/79228162514264337593543950336 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))) #s(literal -1 binary64))) |
(if (<=.f64 y #s(literal 5387515050969975/79228162514264337593543950336 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 x #s(literal 688896174789427/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))) (if (<=.f64 x #s(literal 299999999999999981350934654997039981640924279078912 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (if (<=.f64 x #s(literal 134999999999999997726019727911999959531202734349100562798580166571737687605700807120867029239779558989261493871050752 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 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)))))) |
(if (<=.f64 y #s(literal 5387515050969975/79228162514264337593543950336 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 (/.f64 x y) x) #s(literal -1 binary64)))) |
(if (<=.f64 y #s(literal 5387515050969975/79228162514264337593543950336 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))) #s(literal -1 binary64))) |
(if (<=.f64 y #s(literal 5387515050969975/79228162514264337593543950336 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)) |
| 1× | fuel |
Compiled 305 to 50 computations (83.6% saved)
(abs y)
Compiled 1 524 to 422 computations (72.3% saved)
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