
Time bar (total: 6.0s)
| 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)
| 773.0ms | 8 256× | 0 | valid |
ival-mult: 199.0ms (45.9% of total)ival-div: 98.0ms (22.6% of total)ival-sub: 70.0ms (16.1% of total)ival-add: 50.0ms (11.5% of total)ival-true: 6.0ms (1.4% of total)exact: 5.0ms (1.2% of total)ival-assert: 4.0ms (0.9% of total)adjust: 2.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 129 | 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))) |
| 12 | 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 | 118 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | overflow | 61 | |
| ↳ | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | overflow | 118 | |
| ↳ | (*.f64 x x) | overflow | 69 | |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | overflow | 61 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | overflow | 118 | |
| ↳ | (*.f64 x x) | overflow | 69 | |
-.f64 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | nan-rescue | 12 | 0 |
| ↳ | (*.f64 x x) | overflow | 69 | |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | overflow | 61 | |
/.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 | 11 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | underflow | 51 | |
| ↳ | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | underflow | 11 | |
| ↳ | (*.f64 x x) | underflow | 60 | |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) y) | underflow | 51 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | underflow | 11 | |
| ↳ | (*.f64 x x) | underflow | 60 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 129 | 0 |
| - | 0 | 127 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 129 | 0 | 0 |
| - | 0 | 0 | 127 |
| number | freq |
|---|---|
| 0 | 127 |
| 1 | 117 |
| 2 | 12 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 34.0ms | 512× | 0 | valid |
Compiled 125 to 31 computations (75.2% saved)
ival-mult: 11.0ms (56.7% of total)ival-div: 3.0ms (15.5% of total)ival-sub: 2.0ms (10.3% of total)ival-add: 2.0ms (10.3% of total)exact: 1.0ms (5.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 97 |
| 1 | 85 | 97 |
| 2 | 262 | 95 |
| 3 | 549 | 95 |
| 4 | 1072 | 95 |
| 5 | 1489 | 95 |
| 6 | 1642 | 95 |
| 7 | 1653 | 95 |
| 0 | 9 | 19 |
| 0 | 15 | 19 |
| 1 | 30 | 19 |
| 2 | 81 | 19 |
| 3 | 190 | 19 |
| 4 | 390 | 19 |
| 5 | 608 | 19 |
| 6 | 880 | 19 |
| 7 | 892 | 19 |
| 0 | 892 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(abs y)
(abs x)
Compiled 19 to 9 computations (52.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.6% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
Compiled 19 to 9 computations (52.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) | |
| cost-diff | 1 | (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | |
| cost-diff | 1 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 51 |
| 0 | 15 | 51 |
| 1 | 30 | 51 |
| 2 | 81 | 51 |
| 3 | 190 | 51 |
| 4 | 390 | 51 |
| 5 | 608 | 51 |
| 6 | 880 | 51 |
| 7 | 892 | 51 |
| 0 | 892 | 47 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 y #s(literal 4 binary64)) y) |
(*.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 y #s(literal 4 binary64)) y) |
(*.f64 (*.f64 #s(literal 4 binary64) y) y) |
(*.f64 y #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) y) |
y |
#s(literal 4 binary64) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y #s(literal 4 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 2.749985550811441 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) | |
| accuracy | 31.62377977127026 | (/.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))) |
| 16.0ms | 256× | 0 | valid |
Compiled 53 to 11 computations (79.2% saved)
ival-mult: 5.0ms (55.8% of total)ival-sub: 1.0ms (11.2% of total)ival-div: 1.0ms (11.2% of total)ival-add: 1.0ms (11.2% 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)| 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) |
(*.f64 y #s(literal 4 binary64)) |
| 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)))))) |
(* 4 y) |
(* (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 | |
|---|---|---|---|---|
| 2.0ms | 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)) |
| 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) (* y 4)) |
| 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) (* y 4)) |
| 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) (* y 4)) |
| 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) (* y 4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 443 |
| 1 | 328 | 405 |
| 2 | 1095 | 361 |
| 3 | 6279 | 357 |
| 0 | 8240 | 335 |
| 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)))))) |
(* 4 y) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
| Outputs |
|---|
(* -4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -4 binary64)) |
(- (pow x 2) (* 4 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) |
(* 4 (pow y 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 y y)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+.f64 (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) (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) |
(+ (* -4 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64)) |
(* 4 y) |
(*.f64 #s(literal 4 binary64) y) |
(* (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))))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 43 |
| 0 | 15 | 43 |
| 1 | 52 | 43 |
| 2 | 382 | 43 |
| 0 | 5623 | 39 |
| 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) |
(*.f64 y #s(literal 4 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 4 binary64) y) y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 4 binary64) y) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)))))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 4 binary64) y) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 3 binary64))))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))) |
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(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 #s(literal 4 binary64) y)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x)) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) y) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 4 binary64)) |
(*.f64 #s(literal -4 binary64) (neg.f64 y)) |
(*.f64 (neg.f64 y) #s(literal -4 binary64)) |
(*.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 y))) |
(*.f64 #s(literal 4 binary64) y) |
(*.f64 y #s(literal 4 binary64)) |
(neg.f64 (*.f64 #s(literal -4 binary64) y)) |
Compiled 24 050 to 1 355 computations (94.4% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 510 | 7 | 517 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 511 | 7 | 518 |
| Status | Accuracy | Program |
|---|---|---|
| 50.8% | (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) | |
| 49.6% | (/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) | |
| ▶ | 49.6% | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ▶ | 50.9% | #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))) |
| ▶ | 52.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
| ▶ | 49.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ▶ | 51.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 328 to 174 computations (47% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 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)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 205 |
| 0 | 48 | 201 |
| 1 | 101 | 197 |
| 2 | 240 | 197 |
| 3 | 590 | 197 |
| 4 | 1321 | 197 |
| 5 | 2545 | 197 |
| 6 | 3764 | 197 |
| 7 | 3920 | 197 |
| 8 | 3924 | 197 |
| 9 | 3924 | 197 |
| 10 | 4052 | 197 |
| 11 | 4108 | 197 |
| 12 | 4108 | 197 |
| 0 | 4108 | 197 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(literal 1 binary64) |
#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) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
#s(literal -4 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(literal 1 binary64) |
#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) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) |
#s(literal -4 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) y) | |
| accuracy | 2.753891800811441 | (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) | |
| accuracy | 31.62377977127026 | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.012976281620653759 | (*.f64 #s(literal -8 binary64) (/.f64 y x)) | |
| accuracy | 0.10384750976844202 | (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) | |
| accuracy | 31.408628242967 | #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 | 32.313144442589135 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) | |
| accuracy | 31.202159426724204 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) | |
| accuracy | 0.22332001953688402 | (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) | |
| accuracy | 30.384632527314743 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
| 99.0ms | 256× | 0 | valid |
Compiled 185 to 31 computations (83.2% saved)
ival-mult: 45.0ms (70.6% of total)ival-div: 9.0ms (14.1% of total)ival-add: 7.0ms (11% of total)ival-sub: 2.0ms (3.1% of total)exact: 1.0ms (1.6% 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))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
#s(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) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
(*.f64 y y) |
(*.f64 x x) |
(*.f64 #s(literal 4 binary64) y) |
| Outputs |
|---|
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* 1/2 (/ x y)) |
(* -8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -8 (/ y x)) |
(/ y x) |
(* -4 (pow y 2)) |
(+ (* -4 (pow y 2)) (pow x 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))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(pow y 2) |
(* 4 y) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (- (* 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) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y)) |
| 4.0ms | x | @ | inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (- (* 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) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y)) |
| 3.0ms | x | @ | 0 | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (- (* 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) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y)) |
| 3.0ms | y | @ | inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (- (* 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) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y)) |
| 3.0ms | y | @ | 0 | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (* (* 1/2 (/ x y)) (/ x y)) 1) (* (* 1/2 (/ x y)) (/ x y)) (* 1/2 (/ x y)) (/ (- (* 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) (/ (+ (* -4 (* y y)) (* x x)) (+ (* (* 4 y) y) (* x x))) (+ (* -4 (* y y)) (* x x)) (* y y) (* x x) (* 4 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 462 |
| 1 | 348 | 428 |
| 2 | 1154 | 388 |
| 3 | 6616 | 384 |
| 0 | 8267 | 357 |
| 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) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* 1/2 (/ x y)) |
(* -8 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(* -8 (/ y x)) |
(/ y x) |
(* -4 (pow y 2)) |
(+ (* -4 (pow y 2)) (pow x 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))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(pow y 2) |
(* 4 y) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/32 binary64) x) (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* -8 (/ (pow y 2) (pow x 2))) |
(*.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y) |
(/ (+ (* -8 (pow y 2)) (pow x 2)) (pow x 2)) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(* -8 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -8 binary64)) |
(/ y x) |
(/.f64 y x) |
(* -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) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 32 binary64) y) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal -8 binary64) (*.f64 x x)) y) y (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64)) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(* 4 y) |
(*.f64 #s(literal 4 binary64) y) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1 binary64)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) (* 8 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal -8 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 4 binary64)) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 180 |
| 0 | 48 | 176 |
| 1 | 178 | 164 |
| 2 | 1268 | 164 |
| 0 | 8601 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
#s(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) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
(*.f64 y y) |
(*.f64 x x) |
(*.f64 #s(literal 4 binary64) y) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
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(fma.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 x x)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 (*.f64 y y))) #s(literal -4 binary64))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y))) y)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) (neg.f64 y))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 4 binary64))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 y) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -4 binary64)) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 (*.f64 y y))) #s(literal -4 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.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)) (neg.f64 y))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 4 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
(fma.f64 (neg.f64 x) x (neg.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal 4 binary64) y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal 4 binary64) y)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal 4 binary64) y)) (*.f64 (neg.f64 x) x)) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64))) (*.f64 (neg.f64 x) x)) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal -4 binary64) y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal -4 binary64) y)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal -4 binary64) y)) (*.f64 (neg.f64 x) x)) |
(fma.f64 y (*.f64 #s(literal -4 binary64) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 y (*.f64 #s(literal -4 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 y (*.f64 #s(literal -4 binary64) y) (*.f64 x x)) |
(fma.f64 y (*.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(fma.f64 y (*.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(fma.f64 y (*.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 x) x)) |
(fma.f64 x (neg.f64 x) (neg.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)))) |
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 (*.f64 y y))) #s(literal -4 binary64))) |
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y))) y)) |
(fma.f64 x x (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) (neg.f64 y))) |
(fma.f64 x x (*.f64 (neg.f64 (*.f64 y y)) #s(literal 4 binary64))) |
(fma.f64 x x (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(-.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64))) (*.f64 x x)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) x)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64)))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) y))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -4 binary64))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(+.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64))) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 (neg.f64 x) x) (neg.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(+.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 (*.f64 y y))) #s(literal -4 binary64))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y))) y)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) (neg.f64 y))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 4 binary64))) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(neg.f64 (*.f64 y (neg.f64 y))) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (*.f64 y y))) |
(fabs.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y (neg.f64 y))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 #s(literal 4 binary64) y) |
(*.f64 y #s(literal 4 binary64)) |
Compiled 36 316 to 2 164 computations (94% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 830 | 2 | 832 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 833 | 6 | 839 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.8% | (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
| ▶ | 49.6% | (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ✓ | 50.9% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
| ▶ | 47.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
| ✓ | 49.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ✓ | 51.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 146 to 77 computations (47.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) #s(literal -4 binary64)) | |
| cost-diff | 0 | (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) | |
| cost-diff | 0 | (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 198 |
| 0 | 47 | 188 |
| 1 | 107 | 187 |
| 2 | 270 | 187 |
| 3 | 740 | 187 |
| 4 | 1904 | 187 |
| 5 | 2487 | 187 |
| 6 | 2545 | 187 |
| 0 | 2545 | 187 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
x |
(*.f64 (*.f64 y y) #s(literal -4 binary64)) |
(*.f64 y y) |
y |
#s(literal -4 binary64) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
(*.f64 x x) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
(/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
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 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
(/.f64 y (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))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
(fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) |
x |
(*.f64 (*.f64 y y) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) (*.f64 y y)) |
(*.f64 y y) |
y |
#s(literal -4 binary64) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
(*.f64 x x) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
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 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)) |
(*.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
(/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.07421875 | (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) | |
| accuracy | 1.5448687618854433 | (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) | |
| accuracy | 18.07627301320821 | (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| accuracy | 20.003554175199607 | (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) y) | |
| accuracy | 0.015625 | (*.f64 (*.f64 y y) #s(literal -4 binary64)) | |
| accuracy | 1.249986238027801 | (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) | |
| accuracy | 31.62377977127026 | (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 15.266750940728345 | (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) | |
| accuracy | 30.384632527314743 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
| 46.0ms | 256× | 0 | valid |
Compiled 199 to 31 computations (84.4% saved)
ival-mult: 17.0ms (52.1% of total)ival-div: 7.0ms (21.4% of total)ival-add: 6.0ms (18.4% of total)ival-sub: 2.0ms (6.1% 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 |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
(*.f64 (*.f64 y y) #s(literal -4 binary64)) |
(*.f64 y y) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
(/.f64 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 #s(literal 1/2 binary64) x) |
(/.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)))) |
| 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) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* 1/2 (pow x 2)) |
(* -4 (pow y 2)) |
(+ (* -4 (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)) |
(* 1/2 x) |
(/ 1/4 y) |
(+ (* -1/16 (/ (pow x 2) (pow y 3))) (* 1/4 (/ 1 y))) |
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 5))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 7))) (* 1/64 (/ 1 (pow y 5))))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y))) |
(- (* 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) |
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))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (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))))) |
(/ y (pow x 2)) |
(/ (+ y (* -4 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ y (* 16 (/ (pow y 5) (pow x 4)))) (* 4 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ y (* -64 (/ (pow y 7) (pow x 6)))) (+ (* -16 (/ (pow y 5) (pow x 4))) (* 4 (/ (pow y 3) (pow x 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 (/ (- (* 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 (* -8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(pow y 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)) |
(* 4 y) |
(* y (+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))) |
(* y (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 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)))))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 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)))) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) y) |
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) y) |
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) y) |
(- (* -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)))))) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow y 2))) 1/4) y)) |
(* -1 (/ (- (* -1/64 (/ (pow x 4) (pow y 4))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2))))) y)) |
(* -1 (/ (- (* 1/256 (/ (pow x 6) (pow y 6))) (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow y 2))) (* 1/64 (/ (pow x 4) (pow y 4)))))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (/ (* (* 1/2 x) x) (* y y)) (* (* 1/2 x) x) (/ (+ (* x x) (* (* y y) -4)) (+ (* (* 4 y) y) (* x x))) (+ (* x x) (* (* y y) -4)) (* (* y y) -4) (* y y) (+ (* (/ x (+ (* (* 4 y) y) (* x x))) x) (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (* 1/2 x) (/ y (+ (* (* 4 y) y) (* x x))) (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))))) |
| 3.0ms | x | @ | inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (/ (* (* 1/2 x) x) (* y y)) (* (* 1/2 x) x) (/ (+ (* x x) (* (* y y) -4)) (+ (* (* 4 y) y) (* x x))) (+ (* x x) (* (* y y) -4)) (* (* y y) -4) (* y y) (+ (* (/ x (+ (* (* 4 y) y) (* x x))) x) (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (* 1/2 x) (/ y (+ (* (* 4 y) y) (* x x))) (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))))) |
| 3.0ms | y | @ | inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (/ (* (* 1/2 x) x) (* y y)) (* (* 1/2 x) x) (/ (+ (* x x) (* (* y y) -4)) (+ (* (* 4 y) y) (* x x))) (+ (* x x) (* (* y y) -4)) (* (* y y) -4) (* y y) (+ (* (/ x (+ (* (* 4 y) y) (* x x))) x) (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (* 1/2 x) (/ y (+ (* (* 4 y) y) (* x x))) (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))))) |
| 2.0ms | y | @ | 0 | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (/ (* (* 1/2 x) x) (* y y)) (* (* 1/2 x) x) (/ (+ (* x x) (* (* y y) -4)) (+ (* (* 4 y) y) (* x x))) (+ (* x x) (* (* y y) -4)) (* (* y y) -4) (* y y) (+ (* (/ x (+ (* (* 4 y) y) (* x x))) x) (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (* 1/2 x) (/ y (+ (* (* 4 y) y) (* x x))) (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))))) |
| 2.0ms | x | @ | -inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (- (/ (* (* 1/2 x) x) (* y y)) 1) (/ (* (* 1/2 x) x) (* y y)) (* (* 1/2 x) x) (/ (+ (* x x) (* (* y y) -4)) (+ (* (* 4 y) y) (* x x))) (+ (* x x) (* (* y y) -4)) (* (* y y) -4) (* y y) (+ (* (/ x (+ (* (* 4 y) y) (* x x))) x) (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))))) (/ x (+ (* (* 4 y) y) (* x x))) (+ (* (* 4 y) y) (* x x)) (* 4 y) (* 1/2 x) (/ y (+ (* (* 4 y) y) (* x x))) (* (* -4 y) (/ y (+ (* (* 4 y) y) (* x x))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 373 | 1708 |
| 1 | 1121 | 1640 |
| 2 | 3578 | 1592 |
| 0 | 8478 | 1480 |
| 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) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* 1/2 (pow x 2)) |
(* -4 (pow y 2)) |
(+ (* -4 (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)) |
(* 1/2 x) |
(/ 1/4 y) |
(+ (* -1/16 (/ (pow x 2) (pow y 3))) (* 1/4 (/ 1 y))) |
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 5))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 7))) (* 1/64 (/ 1 (pow y 5))))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y))) |
(- (* 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) |
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))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (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))))) |
(/ y (pow x 2)) |
(/ (+ y (* -4 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ y (* 16 (/ (pow y 5) (pow x 4)))) (* 4 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ y (* -64 (/ (pow y 7) (pow x 6)))) (+ (* -16 (/ (pow y 5) (pow x 4))) (* 4 (/ (pow y 3) (pow x 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 (/ (- (* 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 (* -8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(pow y 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)) |
(* 4 y) |
(* y (+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))) |
(* y (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 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)))))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 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)))) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) y) |
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) y) |
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) y) |
(- (* -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)))))) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow y 2))) 1/4) y)) |
(* -1 (/ (- (* -1/64 (/ (pow x 4) (pow y 4))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2))))) y)) |
(* -1 (/ (- (* 1/256 (/ (pow x 6) (pow y 6))) (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow y 2))) (* 1/64 (/ (pow x 4) (pow y 4)))))) y)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(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) (*.f64 y y)) (*.f64 x 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)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) 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)) |
(* 1/4 (/ 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 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/16 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 #s(literal 4 binary64) y) y (*.f64 x x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(/ 1/4 y) |
(/.f64 #s(literal 1/4 binary64) y) |
(+ (* -1/16 (/ (pow x 2) (pow y 3))) (* 1/4 (/ 1 y))) |
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) y)) |
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow y 5))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) y)) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow y 7))) (* 1/64 (/ 1 (pow y 5))))) (* 1/16 (/ 1 (pow y 3))))) (* 1/4 (/ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal -1/256 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) y)) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) 1) |
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)) |
(- (* (pow x 2) (+ (* -1/16 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.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)))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) 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 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.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 #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 (pow.f64 y #s(literal 4 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -4 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (*.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 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64) (*.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 y x)))) |
(- (+ 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 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 32 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) x) (/.f64 y 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 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 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 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))) x) |
(* (pow x 2) (+ 1 (* 4 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ (+ y (* -4 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 #s(literal -4 binary64) x) y) (*.f64 x x)) |
(/ (- (+ y (* 16 (/ (pow y 5) (pow x 4)))) (* 4 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 #s(literal -4 binary64) x) y)) (*.f64 x x)) |
(/ (- (+ y (* -64 (/ (pow y 7) (pow x 6)))) (+ (* -16 (/ (pow y 5) (pow x 4))) (* 4 (/ (pow y 3) (pow x 2))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -64 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 #s(literal -4 binary64) x) y))) (*.f64 x x)) |
(* -4 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 y x)) |
(/ (+ (* -4 (pow y 2)) (* 16 (/ (pow y 4) (pow x 2)))) (pow x 2)) |
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 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 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 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 8 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 256 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal 16 binary64) x) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x)) |
(* -1 (/ (- (* 4 (/ (pow y 2) (pow x 2))) 1) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) x) (/.f64 y 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 #s(literal 4 binary64) y) x) (/.f64 y 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 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)))) (neg.f64 x)) |
(+ 1 (* -8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) 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 (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) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)) |
(pow y 2) |
(*.f64 y 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) |
(* y (+ (* -4 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))) |
(/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 #s(literal -4 binary64) x) y) (*.f64 x x)) |
(* y (+ (* (pow y 2) (- (* 16 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64))) y) y (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)) (/.f64 y (*.f64 x x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -64 (/ (pow y 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 x #s(literal 8 binary64)))) #s(literal -64 binary64) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 y y) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)) (/.f64 y (*.f64 x x))) |
(* (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) (*.f64 y y)) (*.f64 x x) #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) (*.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)) #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) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(*.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 4 binary64)) (*.f64 y y)) |
(- (+ (* -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) (*.f64 y y)) (*.f64 x x) #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) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))) |
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/4 x)) (pow y 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/16 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 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/16 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 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/16 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) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2)))) y) |
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/4 binary64) y)) |
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow y 4)))) (* 1/16 (/ (pow x 2) (pow y 2)))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) x) y) (/.f64 x y) #s(literal 1/4 binary64))) y) |
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow y 6)))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/256 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) x) y) (/.f64 x y) #s(literal 1/4 binary64)))) y) |
(- (* -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) x) y) (/.f64 x y) #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) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow y 2))) 1/4) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (*.f64 x x) y) #s(literal -1/4 binary64)) y)) |
(* -1 (/ (- (* -1/64 (/ (pow x 4) (pow y 4))) (+ 1/4 (* -1/16 (/ (pow x 2) (pow y 2))))) y)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) x) y) (/.f64 x y) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (neg.f64 y)) |
(* -1 (/ (- (* 1/256 (/ (pow x 6) (pow y 6))) (+ 1/4 (+ (* -1/16 (/ (pow x 2) (pow y 2))) (* 1/64 (/ (pow x 4) (pow y 4)))))) y)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 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 1/64 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) x) y) (/.f64 x y) #s(literal 1/4 binary64)))) (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 163 |
| 0 | 47 | 153 |
| 1 | 188 | 152 |
| 2 | 1390 | 146 |
| 0 | 8538 | 146 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) |
(*.f64 (*.f64 y y) #s(literal -4 binary64)) |
(*.f64 y y) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
(/.f64 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 #s(literal 1/2 binary64) x) |
(/.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)))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
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(/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(neg.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) y) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 #s(literal -4 binary64) (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #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) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 (neg.f64 y) (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 y (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 (*.f64 #s(literal 4 binary64) y) (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #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) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 (neg.f64 y) (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 y (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) y)) |
(*.f64 (/.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 (*.f64 y y) (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 #s(literal 4 binary64) (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 #s(literal -4 binary64) (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) y)) |
(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 (*.f64 y y) (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 (*.f64 #s(literal -4 binary64) y) (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 (*.f64 #s(literal 4 binary64) y) (+.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.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) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 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 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal -4 binary64)) y) |
(*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) y) #s(literal -4 binary64)) |
(*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 #s(literal -4 binary64) y)) |
(*.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 (*.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 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) y)) |
(*.f64 (*.f64 y y) (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) |
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) y)) |
(*.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 (neg.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal -4 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))) |
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(neg.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal -4 binary64)) y)) |
Compiled 73 028 to 4 031 computations (94.5% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 413 | 2 | 1 415 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 3 | 3 |
| Total | 1 414 | 7 | 1 421 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.8% | (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
| ✓ | 49.6% | (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ▶ | 23.5% | (/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ▶ | 47.1% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
| ✓ | 50.9% | #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))) |
| ✓ | 49.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ✓ | 51.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 167 to 89 computations (46.7% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (* x x) (* (* y y) -4)) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x 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) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 107 |
| 0 | 35 | 106 |
| 1 | 75 | 106 |
| 2 | 218 | 106 |
| 3 | 740 | 106 |
| 4 | 2176 | 106 |
| 5 | 2841 | 106 |
| 6 | 2944 | 106 |
| 7 | 2948 | 106 |
| 8 | 2952 | 106 |
| 0 | 2952 | 103 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
#s(literal 1/2 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
#s(literal -1 binary64) |
(/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
#s(approx (+ (* x x) (* (* y y) -4)) (*.f64 x x)) |
(*.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) |
y |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
#s(literal 1/2 binary64) |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
#s(literal -1 binary64) |
(/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
#s(approx (+ (* x x) (* (* y y) -4)) (*.f64 x x)) |
(*.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) |
y |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) y) | |
| accuracy | 30.894229279610414 | #s(approx (+ (* x x) (* (* y y) -4)) (*.f64 x x)) | |
| accuracy | 31.62377977127026 | (/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.08984375 | (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) | |
| accuracy | 10.827188950420132 | (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)) | |
| accuracy | 30.384632527314743 | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
| 36.0ms | 256× | 0 | valid |
Compiled 93 to 24 computations (74.2% saved)
ival-mult: 12.0ms (55.6% of total)ival-div: 4.0ms (18.5% of total)ival-add: 4.0ms (18.5% of total)ival-sub: 1.0ms (4.6% 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 |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
#s(approx (+ (* x x) (* (* y y) -4)) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
| Outputs |
|---|
-1 |
(- (* 1/2 (/ (pow x 2) (pow y 2))) 1) |
(- (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow y 6))) (* 1/8 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) 1) |
(* -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))))) |
(* 1/2 (/ (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 (* -8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(/ 1/2 (pow y 2)) |
(pow y 2) |
(* 4 y) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 4)) |
(* (pow y 2) (+ 4 (/ (pow x 2) (pow y 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/ 1/2 (* y y)) (* y y) (/ (+ (* x x) (* (* y y) -4)) (+ (* (* 4 y) y) (* x x))) (+ (* x x) (* (* y y) -4)) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y)) |
| 1.0ms | y | @ | inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/ 1/2 (* y y)) (* y y) (/ (+ (* x x) (* (* y y) -4)) (+ (* (* 4 y) y) (* x x))) (+ (* x x) (* (* y y) -4)) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y)) |
| 1.0ms | y | @ | 0 | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/ 1/2 (* y y)) (* y y) (/ (+ (* x x) (* (* y y) -4)) (+ (* (* 4 y) y) (* x x))) (+ (* x x) (* (* y y) -4)) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y)) |
| 1.0ms | y | @ | -inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/ 1/2 (* y y)) (* y y) (/ (+ (* x x) (* (* y y) -4)) (+ (* (* 4 y) y) (* x x))) (+ (* x x) (* (* y y) -4)) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y)) |
| 1.0ms | x | @ | -inf | ((/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/ 1/2 (* y y)) (* y y) (/ (+ (* x x) (* (* y y) -4)) (+ (* (* 4 y) y) (* x x))) (+ (* x x) (* (* y y) -4)) (* x x) (+ (* (* 4 y) y) (* x x)) (* 4 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 473 |
| 1 | 345 | 427 |
| 2 | 1169 | 391 |
| 3 | 6830 | 387 |
| 0 | 8380 | 359 |
| 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) |
(* -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))))) |
(* 1/2 (/ (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 (* -8 (/ (pow y 2) (pow x 2)))) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(/ (+ (* -1 (pow y 2)) (* 1/2 (pow x 2))) (pow y 2)) |
(/ 1/2 (pow y 2)) |
(pow y 2) |
(* 4 y) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(- (+ (* 1/16 (/ (* (pow x 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(* (pow y 2) (- (/ (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 (/.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 #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))) |
(* -4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -4 binary64)) |
(+ (* -4 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* 4 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 4 binary64)) |
(+ (* 4 (pow y 2)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -4 (/ (pow y 2) (pow x 2)))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* -4 (/ (pow y 2) (pow x 2))))) (* 4 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(- (+ 1 (+ (* -4 (/ (pow y 2) (pow x 2))) (* 16 (/ (* (pow y 4) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 6))))) (+ (* 4 (/ (* (pow y 2) (- (* -4 (pow y 2)) (* 4 (pow y 2)))) (pow x 4))) (* 4 (/ (pow y 2) (pow x 2))))) |
(+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 32 binary64) y) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) (/.f64 (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -128 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 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))))) |
(*.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 (* -8 (/ (pow y 2) (pow x 2)))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 32 (/ (pow y 2) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ (* -128 (/ (pow y 2) (pow x 6))) (* 32 (/ 1 (pow x 4))))) (* 8 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -128 binary64) y) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 y y) #s(literal 1 binary64)) |
(/ (+ (* -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 (pow y 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(* 4 y) |
(*.f64 #s(literal 4 binary64) y) |
(- (* 1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.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)) (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 4) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (* (pow x 2) (- (* 1/4 (pow x 2)) (* -1/4 (pow x 2)))) (pow y 4)))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/32 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) 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)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 97 |
| 0 | 35 | 96 |
| 1 | 143 | 96 |
| 2 | 1020 | 95 |
| 0 | 9038 | 93 |
| 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) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
#s(approx (+ (* x x) (* (* y y) -4)) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) y) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y)) #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y)) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y)) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)) x) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)) x))) (+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)))) |
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(fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(-.f64 (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 y))) (neg.f64 y))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) #s(literal -4 binary64)))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) y))) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -4 binary64))) |
(-.f64 (*.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 (neg.f64 (neg.f64 x))) x)) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y))) y)) |
(-.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) y))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) (neg.f64 y))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 4 binary64))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal -4 binary64) y))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) y))) |
(-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(+.f64 (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(+.f64 (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal -4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (fma.f64 (*.f64 #s(literal -4 binary64) y) y (*.f64 x x)))) |
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal -4 binary64) (*.f64 y y))) |
(+.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 #s(literal -4 binary64) (*.f64 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 (neg.f64 (*.f64 #s(literal -4 binary64) y)) y)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -4 binary64))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) |
(*.f64 #s(literal 4 binary64) y) |
(*.f64 y #s(literal 4 binary64)) |
Compiled 20 209 to 1 476 computations (92.7% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 428 | 0 | 428 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 5 | 5 |
| Total | 428 | 7 | 435 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.8% | (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
| ✓ | 49.6% | (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ✓ | 23.5% | (/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| ✓ | 47.1% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
| ✓ | 50.9% | #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))) |
| ✓ | 49.5% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64)) |
| ✓ | 51.2% | #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Compiled 450 to 151 computations (66.4% 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 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (*.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 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) 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))) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #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:
| 6.0ms | x |
| 4.0ms | y |
| 3.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 3.0ms | (*.f64 x x) |
| 3.0ms | (/.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 |
|---|---|---|
| 80.4% | 3 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 84.2% | 4 | (*.f64 x x) |
| 77.1% | 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))) |
| 84.2% | 4 | x |
| 80.4% | 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 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (*.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 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) 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))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (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 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #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))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 4 | (*.f64 x x) |
| 84.2% | 4 | x |
Compiled 4 to 5 computations (-25% 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 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (*.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 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #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))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 4 | (*.f64 x x) |
| 84.2% | 4 | x |
Compiled 4 to 5 computations (-25% 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 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (*.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 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) |
4 calls:
| 3.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 2 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 77.4% | 2 | y |
| 78.4% | 2 | (*.f64 x x) |
| 78.4% | 2 | 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 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (*.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 (*.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))) #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))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 2 | (*.f64 x x) |
| 78.1% | 2 | x |
Compiled 4 to 5 computations (-25% 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 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 y y)) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* x x) (* (* y y) -4)) (*.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)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.6% | 2 | (*.f64 x x) |
| 77.6% | 2 | x |
Compiled 4 to 5 computations (-25% 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:
| 44.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 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))) |
| 51.2% | 1 | (*.f64 (*.f64 y #s(literal 4 binary64)) y) |
| 51.2% | 1 | y |
| 51.2% | 1 | (*.f64 x x) |
| 51.2% | 1 | x |
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 | 6.291176006481292e+115 | 1.7358600223302503e+116 |
| 0.0ms | 1.3276557272450025e+37 | 1.3654085643027476e+37 |
| 6.0ms | 1.1792196895829593e-138 | 2.073897056677266e-138 |
| 8.0ms | 144× | 0 | valid |
Compiled 550 to 299 computations (45.6% saved)
ival-mult: 3.0ms (61% of total)ival-sub: 1.0ms (20.3% of total)ival-div: 1.0ms (20.3% of total)ival-add: 1.0ms (20.3% 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)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.291176006481292e+115 | 1.7358600223302503e+116 |
| 0.0ms | 1.3276557272450025e+37 | 1.3654085643027476e+37 |
| 1.0ms | 1.1792196895829593e-138 | 2.073897056677266e-138 |
Compiled 514 to 295 computations (42.6% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.291176006481292e+115 | 1.7358600223302503e+116 |
| 0.0ms | 1.3276557272450025e+37 | 1.3654085643027476e+37 |
| 1.0ms | 1.1792196895829593e-138 | 2.073897056677266e-138 |
Compiled 514 to 291 computations (43.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.694795385945455e-28 | 8.099330460862564e-28 |
| 7.0ms | 80× | 0 | valid |
Compiled 327 to 179 computations (45.3% saved)
ival-div: 3.0ms (56.6% of total)ival-mult: 1.0ms (18.9% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.737688753925315e-39 | 4.7098631702081334e-36 |
| 7.0ms | 128× | 0 | valid |
Compiled 430 to 238 computations (44.7% saved)
ival-mult: 2.0ms (46.8% of total)ival-sub: 1.0ms (23.4% of total)ival-div: 1.0ms (23.4% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 6.737688753925315e-39 | 4.7098631702081334e-36 |
| 6.0ms | 112× | 0 | valid |
Compiled 358 to 206 computations (42.5% saved)
ival-mult: 2.0ms (49.7% of total)ival-div: 1.0ms (24.9% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 556 |
| 1 | 83 | 556 |
| 2 | 136 | 556 |
| 3 | 249 | 556 |
| 4 | 457 | 556 |
| 5 | 672 | 556 |
| 6 | 923 | 556 |
| 7 | 938 | 556 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 6703903964971299/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 13499999999999999318300007536992976896 binary64)) (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) (if (<=.f64 x #s(literal 64000000000000000995802632285877953553164889402947931735665317147573361994544365008959064954563036651277201975541760 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #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 x #s(literal 6703903964971299/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 13499999999999999318300007536992976896 binary64)) (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (if (<=.f64 x #s(literal 64000000000000000995802632285877953553164889402947931735665317147573361994544365008959064954563036651277201975541760 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #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 x #s(literal 6703903964971299/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 13499999999999999318300007536992976896 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (if (<=.f64 x #s(literal 64000000000000000995802632285877953553164889402947931735665317147573361994544365008959064954563036651277201975541760 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #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 x #s(literal 2899096875808981/5575186299632655785383929568162090376495104 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 1724057483474125/191561942608236107294793378393788647952342390272950272 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)))) |
(if (<=.f64 x #s(literal 4130554387490091/11972621413014756705924586149611790497021399392059392 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 6703903964971299/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 13499999999999999318300007536992976896 binary64)) (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x (*.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) (if (<=.f64 x #s(literal 64000000000000000995802632285877953553164889402947931735665317147573361994544365008959064954563036651277201975541760 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #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 x #s(literal 6703903964971299/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 13499999999999999318300007536992976896 binary64)) (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (if (<=.f64 x #s(literal 64000000000000000995802632285877953553164889402947931735665317147573361994544365008959064954563036651277201975541760 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #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 x #s(literal 6703903964971299/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 13499999999999999318300007536992976896 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (if (<=.f64 x #s(literal 64000000000000000995802632285877953553164889402947931735665317147573361994544365008959064954563036651277201975541760 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #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 x #s(literal 2899096875808981/5575186299632655785383929568162090376495104 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 #s(literal -8 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 1724057483474125/191561942608236107294793378393788647952342390272950272 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)))) |
(if (<=.f64 x #s(literal 4130554387490091/11972621413014756705924586149611790497021399392059392 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) #s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))) |
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 373 | 1708 |
| 1 | 1121 | 1640 |
| 2 | 3578 | 1592 |
| 0 | 8478 | 1480 |
| 0 | 116 | 443 |
| 1 | 328 | 405 |
| 2 | 1095 | 361 |
| 3 | 6279 | 357 |
| 0 | 8240 | 335 |
| 0 | 31 | 180 |
| 0 | 48 | 176 |
| 1 | 178 | 164 |
| 2 | 1268 | 164 |
| 0 | 8601 | 162 |
| 0 | 9 | 43 |
| 0 | 15 | 43 |
| 1 | 52 | 43 |
| 2 | 382 | 43 |
| 0 | 5623 | 39 |
| 1× | done |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 556 to 65 computations (88.3% saved)
(abs y)
Compiled 2 086 to 464 computations (77.8% saved)
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