Linear.Quaternion:$clog from linear-1.19.1.3
Time bar (total: 4.7s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 5 |
| 66.7% | 62.4% | 31.2% | 0.1% | 0% | 6.2% | 0% | 6 |
| 75% | 65.6% | 21.9% | 0.1% | 0% | 12.5% | 0% | 7 |
| 80% | 68.7% | 17.2% | 0.1% | 0% | 14% | 0% | 8 |
| 85.7% | 70.2% | 11.7% | 0.1% | 0% | 18% | 0% | 9 |
| 88.9% | 71.8% | 9% | 0.1% | 0% | 19.1% | 0% | 10 |
| 92.3% | 72.6% | 6% | 0.1% | 0% | 21.3% | 0% | 11 |
| 94.1% | 73.4% | 4.6% | 0.1% | 0% | 22% | 0% | 12 |
Compiled 8 to 7 computations (12.5% saved)
| 777.0ms | 8 256× | 0 | valid |
| 15.0ms | 336× | 0 | invalid |
ival-add: 428.0ms (74% of total)ival-mult: 76.0ms (13.1% of total)ival-sqrt: 64.0ms (11.1% of total)ival-true: 8.0ms (1.4% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 80 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) y)) | oflow-rescue | 80 | 0 |
| ↳ | (+.f64 (*.f64 x x) y) | overflow | 80 | |
| ↳ | (*.f64 x x) | overflow | 80 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 80 | 0 |
| - | 0 | 176 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 80 | 0 | 0 |
| - | 0 | 0 | 176 |
| number | freq |
|---|---|
| 0 | 176 |
| 1 | 80 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 23.0ms | 512× | 0 | valid |
Compiled 58 to 24 computations (58.6% saved)
ival-mult: 4.0ms (36.8% of total)ival-sqrt: 4.0ms (36.8% of total)ival-add: 2.0ms (18.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 32 |
| 1 | 34 | 32 |
| 2 | 69 | 32 |
| 3 | 124 | 32 |
| 4 | 189 | 32 |
| 5 | 258 | 32 |
| 6 | 326 | 32 |
| 7 | 344 | 32 |
| 8 | 353 | 32 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 9 | 6 |
| 0 | 9 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
| Outputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
(sqrt.f64 (fma.f64 x x y)) |
(abs x)
Compiled 6 to 5 computations (16.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.9% | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 x x) y)) | |
| cost-diff | 1 | (+.f64 (*.f64 x x) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 0 | 8 | 16 |
| 1 | 9 | 16 |
| 0 | 9 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
(+.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
y |
| Outputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
(sqrt.f64 (fma.f64 x x y)) |
(+.f64 (*.f64 x x) y) |
(fma.f64 x x y) |
(*.f64 x x) |
x |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 x x) y) | |
| accuracy | 18.594502607669273 | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| 11.0ms | 256× | 0 | valid |
Compiled 34 to 12 computations (64.7% saved)
ival-mult: 2.0ms (38.8% of total)ival-sqrt: 2.0ms (38.8% of total)ival-add: 1.0ms (19.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x x) y) |
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
(*.f64 x x) |
| Outputs |
|---|
y |
(+ y (pow x 2)) |
(sqrt y) |
(+ (sqrt y) (* 1/2 (* (pow x 2) (sqrt (/ 1 y))))) |
(+ (sqrt y) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y)))))) |
(+ (sqrt y) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 y))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y (pow x 2)))) |
x |
(* x (+ 1 (* 1/2 (/ y (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))) |
(+ x (* 1/2 (/ y x))) |
(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* y (+ (* y (- (* 1/16 (/ y (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(* y (+ 1 (/ (pow x 2) y))) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 6) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 6) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (* x x) y) (sqrt (+ (* x x) y)) (* x x)) |
| 1.0ms | y | @ | -inf | ((+ (* x x) y) (sqrt (+ (* x x) y)) (* x x)) |
| 1.0ms | y | @ | 0 | ((+ (* x x) y) (sqrt (+ (* x x) y)) (* x x)) |
| 1.0ms | x | @ | inf | ((+ (* x x) y) (sqrt (+ (* x x) y)) (* x x)) |
| 1.0ms | x | @ | 0 | ((+ (* x x) y) (sqrt (+ (* x x) y)) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 518 |
| 1 | 383 | 503 |
| 2 | 1212 | 495 |
| 3 | 4106 | 450 |
| 0 | 8517 | 412 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ y (pow x 2)) |
(sqrt y) |
(+ (sqrt y) (* 1/2 (* (pow x 2) (sqrt (/ 1 y))))) |
(+ (sqrt y) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y)))))) |
(+ (sqrt y) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 y))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y (pow x 2)))) |
x |
(* x (+ 1 (* 1/2 (/ y (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))) |
(+ x (* 1/2 (/ y x))) |
(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* y (+ (* y (- (* 1/16 (/ y (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(* y (+ 1 (/ (pow x 2) y))) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 6) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 6) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
y |
(+ y (pow x 2)) |
(fma.f64 x x y) |
(sqrt y) |
(sqrt.f64 y) |
(+ (sqrt y) (* 1/2 (* (pow x 2) (sqrt (/ 1 y))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(+ (sqrt y) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y)))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(+ (sqrt y) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 y))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) x)) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ y (pow x 2)))) |
(fma.f64 x x y) |
x |
(* x (+ 1 (* 1/2 (/ y (pow x 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) y x) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (/.f64 y (pow.f64 x #s(literal 6 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2)))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (neg.f64 x)) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) y x)) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))) |
(neg.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (/.f64 y (pow.f64 x #s(literal 6 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) x (*.f64 (/.f64 #s(literal 1/2 binary64) x) y))) |
(+ x (* 1/2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) |
(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x))))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) y x) |
(+ x (* y (+ (* y (- (* 1/16 (/ y (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal 1/2 binary64) x)) y x) |
(* y (+ 1 (/ (pow x 2) y))) |
(fma.f64 x x y) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 6) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) |
(fma.f64 x x y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* y (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 6) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 26 | 14 |
| 2 | 169 | 14 |
| 3 | 1529 | 14 |
| 0 | 8510 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x x) y) |
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (exp.f64 (log.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))))) (exp.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x x) y))))) |
(*.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) y) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) y) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (-.f64 y (*.f64 x x)) y) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 y (*.f64 x x)) y)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 x x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 x x)) y) (fma.f64 (-.f64 y (*.f64 x x)) y (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x y))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) y))))) |
(*.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y (*.f64 x x))))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (-.f64 y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x y)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) y)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) y)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x y))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (fma.f64 x x y) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (/.f64 (fma.f64 x x y) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x y)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 x x y))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) y))))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 y (*.f64 x x))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)))) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x y)))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 x x) y))) (hypot.f64 y (*.f64 x x))) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (*.f64 x x) y))) (sqrt.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))) |
(/.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 y (*.f64 x x))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (-.f64 (*.f64 x x) y) (*.f64 y y)))) (sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) y)))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64)))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (*.f64 x x) y)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64)))) (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64)))) (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) y) (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64)))) (sqrt.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64))) (sqrt.f64 (*.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 y (*.f64 x x)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (sqrt.f64 (fma.f64 (neg.f64 x) x y))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 y y (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 x x) y)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 y (*.f64 x x))) (sqrt.f64 (-.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x y)))) |
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (*.f64 x x) y))) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))) |
(sqrt.f64 (fma.f64 x x y)) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/4 binary64) (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 6 295 to 873 computations (86.1% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 243 | 5 | 248 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 244 | 5 | 249 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.7% | (sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))) |
| ▶ | 70.9% | (sqrt.f64 (fma.f64 x x y)) |
| ▶ | 67.8% | #s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) |
| ▶ | 35.1% | #s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y)) |
| ▶ | 1.3% | #s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) |
Compiled 120 to 74 computations (38.3% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))) | |
| cost-diff | 1 | (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))) | |
| cost-diff | 18 | (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) | |
| cost-diff | 0 | (sqrt.f64 y) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 x x y) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 x x y)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 149 |
| 0 | 38 | 111 |
| 1 | 66 | 111 |
| 2 | 110 | 111 |
| 3 | 166 | 110 |
| 4 | 285 | 110 |
| 5 | 683 | 110 |
| 6 | 1519 | 110 |
| 7 | 2385 | 110 |
| 8 | 2573 | 110 |
| 9 | 2740 | 110 |
| 10 | 2962 | 110 |
| 11 | 2995 | 110 |
| 12 | 3051 | 110 |
| 13 | 3199 | 110 |
| 14 | 3481 | 110 |
| 15 | 4319 | 110 |
| 16 | 6126 | 110 |
| 17 | 6978 | 110 |
| 18 | 7660 | 110 |
| 19 | 7728 | 110 |
| 20 | 7738 | 110 |
| 0 | 8344 | 110 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 x x y)) |
(fma.f64 x x y) |
x |
y |
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y)) |
(sqrt.f64 y) |
y |
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))))) |
(*.f64 x x) |
x |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 x x) y) |
y |
(neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))) |
(*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) |
(/.f64 y (-.f64 (*.f64 x x) y)) |
| Outputs |
|---|
(sqrt.f64 (fma.f64 x x y)) |
(fma.f64 x x y) |
x |
y |
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y)) |
(sqrt.f64 y) |
y |
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))) |
(sqrt.f64 (fma.f64 x x y)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))))) |
(fma.f64 x x y) |
(*.f64 x x) |
x |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 x (-.f64 (*.f64 x x) y)) x) |
(-.f64 (*.f64 x x) y) |
y |
(neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))) |
(/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y)) |
(*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) |
(*.f64 (/.f64 y (-.f64 (*.f64 x x) y)) y) |
(/.f64 y (-.f64 (*.f64 x x) y)) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.39034781582654626 | (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) | |
| accuracy | 2.1532624451465474 | (/.f64 y (-.f64 (*.f64 x x) y)) | |
| accuracy | 9.550756156857222 | (sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))) | |
| accuracy | 13.224831106016659 | (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0.03515625 | (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) | |
| accuracy | 20.233575512480858 | #s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) | |
| accuracy | 0.0 | (sqrt.f64 y) | |
| accuracy | 21.009732464290273 | #s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 42.82646042376972 | #s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) | |
| accuracy | 0.0 | (fma.f64 x x y) | |
| accuracy | 9.550756156857222 | (sqrt.f64 (fma.f64 x x y)) |
| 56.0ms | 174× | 0 | valid |
| 27.0ms | 82× | 0 | invalid |
Compiled 298 to 44 computations (85.2% saved)
ival-mult: 22.0ms (56.1% of total)ival-div: 5.0ms (12.8% of total)ival-sqrt: 5.0ms (12.8% of total)ival-add: 4.0ms (10.2% of total)ival-neg: 2.0ms (5.1% of total)ival-sub: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f64 (fma.f64 x x y)) |
(fma.f64 x x y) |
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y)) |
(sqrt.f64 y) |
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) |
(/.f64 #s(literal 1/2 binary64) x) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))))) |
(neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))) |
(sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))) |
(*.f64 x x) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) |
(/.f64 y (-.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) |
| Outputs |
|---|
(sqrt y) |
(+ (sqrt y) (* 1/2 (* (pow x 2) (sqrt (/ 1 y))))) |
(+ (sqrt y) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y)))))) |
(+ (sqrt y) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 y))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
y |
(+ y (pow x 2)) |
(* -1 x) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (pow x 2)) x) |
(/ 1/2 x) |
(- (pow x 2) (* -1 y)) |
(- (* (pow x 2) (+ 1 (/ (pow x 2) y))) (* -1 y)) |
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ (/ 1 y) (/ (pow x 2) (pow y 2)))))) (* -1 y)) |
(pow x 2) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 2))) (/ 1 y))) |
(* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
-1 |
(- (* -1 (/ (pow x 2) y)) 1) |
(- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 2))) (/ 1 y))) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(* -1 y) |
(+ (* -1 y) (* -1 (pow x 2))) |
(+ (* -1 y) (* (pow x 2) (- (* -1 (/ (pow x 2) y)) 1))) |
(+ (* -1 y) (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 2))) (/ 1 y))) 1))) |
x |
(* x (+ 1 (* 1/2 (/ y (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))) |
(* (pow x 2) (+ 1 (/ y (pow x 2)))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 4)))) (* -1 (/ y (pow x 2))))) |
(* -1 (/ (pow y 2) (pow x 2))) |
(/ (- (* -1 (/ (pow y 3) (pow x 2))) (pow y 2)) (pow x 2)) |
(/ (- (+ (* -1 (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 4) (pow x 4)))) (pow y 2)) (pow x 2)) |
(/ (- (+ (* -1 (/ (pow y 3) (pow x 2))) (+ (* -1 (/ (pow y 4) (pow x 4))) (* -1 (/ (pow y 5) (pow x 6))))) (pow y 2)) (pow x 2)) |
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2))) (pow x 4))) (* 1/2 (/ y (pow x 2)))))) |
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2))) (pow x 4))) (+ (* 1/4 (/ (* y (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2)))) (pow x 6))) (* 1/2 (/ y (pow x 2))))))) |
1 |
(+ 1 (/ y (pow x 2))) |
(- (+ 1 (/ (pow y 2) (pow x 4))) (* -1 (/ y (pow x 2)))) |
(- (+ 1 (/ (pow y 3) (pow x 6))) (+ (* -1 (/ y (pow x 2))) (* -1 (/ (pow y 2) (pow x 4))))) |
(/ y (pow x 2)) |
(/ (+ y (/ (pow y 2) (pow x 2))) (pow x 2)) |
(/ (- (+ y (/ (pow y 3) (pow x 4))) (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2)) |
(/ (- (+ y (/ (pow y 4) (pow x 6))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* -1 (/ (pow y 3) (pow x 4))))) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (+ (/ (pow y 3) (pow x 2)) (pow y 2)) (pow x 2)) |
(/ (- (+ (/ (pow y 4) (pow x 4)) (pow y 2)) (* -1 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ (pow y 5) (pow x 6)) (pow y 2)) (+ (* -1 (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 4) (pow x 4))))) (pow x 2)) |
(* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))) |
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2))) (pow x 4))) (* 1/2 (/ y (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2))) (pow x 4))) (+ (* 1/4 (/ (* y (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2)))) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))) |
(+ x (* 1/2 (/ y x))) |
(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* y (+ (* y (- (* 1/16 (/ y (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 2)))) |
(* (pow y 2) (- (* y (- (* -1 (/ y (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(+ 1 (* y (+ (/ 1 (pow x 2)) (/ y (pow x 4))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 4)) (/ y (pow x 6)))) (/ 1 (pow x 2))))) |
(* y (+ (/ 1 (pow x 2)) (/ y (pow x 4)))) |
(* y (+ (* y (+ (/ 1 (pow x 4)) (/ y (pow x 6)))) (/ 1 (pow x 2)))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 6)) (/ y (pow x 8)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(* (pow y 2) (+ (/ 1 (pow x 2)) (/ y (pow x 4)))) |
(* (pow y 2) (+ (* y (+ (/ 1 (pow x 4)) (/ y (pow x 6)))) (/ 1 (pow x 2)))) |
(* (pow y 2) (+ (* y (+ (* y (+ (/ 1 (pow x 6)) (/ y (pow x 8)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 6) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))) |
(* y (+ 1 (/ (pow x 2) y))) |
(* y (+ (* 1/2 (/ 1 x)) (/ x y))) |
(* y (+ 1 (+ (* -1 (/ (pow x 4) (pow y 2))) (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 2)))))) |
(* y (+ 1 (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 2))))) |
(* y (+ 1 (+ (/ (pow x 2) y) (+ (/ (pow x 4) (pow y 2)) (/ (pow x 6) (pow y 3)))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 4)) (pow x 4)))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 4)) (pow x 4)))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))) |
(/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 2))) y) |
(/ (- (+ (* -1 (/ (pow x 6) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 4) y)) y) |
(/ (- (+ (* -1 (/ (pow x 8) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 4) y) (/ (pow x 6) (pow y 2)))) y) |
(- (* -1 (/ (pow x 4) (pow y 2))) (+ 1 (/ (pow x 2) y))) |
(- (* -1 (/ (pow x 6) (pow y 3))) (+ 1 (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 2))))) |
(* y (- (* -1 (/ (pow x 2) y)) 1)) |
(* y (- (* -1 (/ (pow x 4) (pow y 2))) (+ 1 (/ (pow x 2) y)))) |
(* y (- (* -1 (/ (pow x 6) (pow y 3))) (+ 1 (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 2)))))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 6) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 4)) (pow x 4)) y)) (pow x 2)) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ (/ (pow x 4) y) (pow x 2)) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 6) y)) (* -1 (pow x 4))) y)) (pow x 2)) y)) 1))) |
(* -1 (* y (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 4)) (pow x 4)))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1 (/ (+ (* 1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt y))) (* 1/2 (* (sqrt y) (+ (* -1 (pow x 4)) (pow x 4))))) (pow y 3))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (/ (+ (/ (pow x 4) y) (pow x 2)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 6) y)) (pow x 4)) y)) (pow x 2)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 8) y) (* -1 (pow x 6))) y)) (pow x 4)) y)) (pow x 2)) y)) |
(- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 2))) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 6) y)) (pow x 4)) y)) (* -1 (pow x 2))) y)) 1) |
(* -1 (* y (+ 1 (/ (pow x 2) y)))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 2)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 6) y) (* -1 (pow x 4))) y)) (pow x 2)) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | y | @ | inf | ((sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (neg x) (sqrt (+ (* x x) y)) (sqrt y) (sqrt (+ (* x x) y)) (+ (* (/ 1/2 x) y) x) (/ 1/2 x) (+ (* (* x x) (/ (* x x) (- (* x x) y))) (neg (* y (/ y (- (* x x) y))))) (neg (* y (/ y (- (* x x) y)))) (sqrt (+ (* (* x x) (/ (* x x) (- (* x x) y))) (neg (* y (/ y (- (* x x) y)))))) (* x x) (/ (* x x) (- (* x x) y)) (/ y (- (* x x) y)) (* y (/ y (- (* x x) y)))) |
| 4.0ms | x | @ | inf | ((sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (neg x) (sqrt (+ (* x x) y)) (sqrt y) (sqrt (+ (* x x) y)) (+ (* (/ 1/2 x) y) x) (/ 1/2 x) (+ (* (* x x) (/ (* x x) (- (* x x) y))) (neg (* y (/ y (- (* x x) y))))) (neg (* y (/ y (- (* x x) y)))) (sqrt (+ (* (* x x) (/ (* x x) (- (* x x) y))) (neg (* y (/ y (- (* x x) y)))))) (* x x) (/ (* x x) (- (* x x) y)) (/ y (- (* x x) y)) (* y (/ y (- (* x x) y)))) |
| 4.0ms | y | @ | -inf | ((sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (neg x) (sqrt (+ (* x x) y)) (sqrt y) (sqrt (+ (* x x) y)) (+ (* (/ 1/2 x) y) x) (/ 1/2 x) (+ (* (* x x) (/ (* x x) (- (* x x) y))) (neg (* y (/ y (- (* x x) y))))) (neg (* y (/ y (- (* x x) y)))) (sqrt (+ (* (* x x) (/ (* x x) (- (* x x) y))) (neg (* y (/ y (- (* x x) y)))))) (* x x) (/ (* x x) (- (* x x) y)) (/ y (- (* x x) y)) (* y (/ y (- (* x x) y)))) |
| 3.0ms | x | @ | 0 | ((sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (neg x) (sqrt (+ (* x x) y)) (sqrt y) (sqrt (+ (* x x) y)) (+ (* (/ 1/2 x) y) x) (/ 1/2 x) (+ (* (* x x) (/ (* x x) (- (* x x) y))) (neg (* y (/ y (- (* x x) y))))) (neg (* y (/ y (- (* x x) y)))) (sqrt (+ (* (* x x) (/ (* x x) (- (* x x) y))) (neg (* y (/ y (- (* x x) y)))))) (* x x) (/ (* x x) (- (* x x) y)) (/ y (- (* x x) y)) (* y (/ y (- (* x x) y)))) |
| 2.0ms | y | @ | 0 | ((sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (neg x) (sqrt (+ (* x x) y)) (sqrt y) (sqrt (+ (* x x) y)) (+ (* (/ 1/2 x) y) x) (/ 1/2 x) (+ (* (* x x) (/ (* x x) (- (* x x) y))) (neg (* y (/ y (- (* x x) y))))) (neg (* y (/ y (- (* x x) y)))) (sqrt (+ (* (* x x) (/ (* x x) (- (* x x) y))) (neg (* y (/ y (- (* x x) y)))))) (* x x) (/ (* x x) (- (* x x) y)) (/ y (- (* x x) y)) (* y (/ y (- (* x x) y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 418 | 2075 |
| 1 | 1324 | 1974 |
| 2 | 4418 | 1865 |
| 0 | 8546 | 1730 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt y) |
(+ (sqrt y) (* 1/2 (* (pow x 2) (sqrt (/ 1 y))))) |
(+ (sqrt y) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y)))))) |
(+ (sqrt y) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 y))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
y |
(+ y (pow x 2)) |
(* -1 x) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (pow x 2)) x) |
(/ 1/2 x) |
(- (pow x 2) (* -1 y)) |
(- (* (pow x 2) (+ 1 (/ (pow x 2) y))) (* -1 y)) |
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ (/ 1 y) (/ (pow x 2) (pow y 2)))))) (* -1 y)) |
(pow x 2) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 2))) (/ 1 y))) |
(* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
-1 |
(- (* -1 (/ (pow x 2) y)) 1) |
(- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 2))) (/ 1 y))) 1) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(* -1 y) |
(+ (* -1 y) (* -1 (pow x 2))) |
(+ (* -1 y) (* (pow x 2) (- (* -1 (/ (pow x 2) y)) 1))) |
(+ (* -1 y) (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 2))) (/ 1 y))) 1))) |
x |
(* x (+ 1 (* 1/2 (/ y (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))) |
(* (pow x 2) (+ 1 (/ y (pow x 2)))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 4)))) (* -1 (/ y (pow x 2))))) |
(* -1 (/ (pow y 2) (pow x 2))) |
(/ (- (* -1 (/ (pow y 3) (pow x 2))) (pow y 2)) (pow x 2)) |
(/ (- (+ (* -1 (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 4) (pow x 4)))) (pow y 2)) (pow x 2)) |
(/ (- (+ (* -1 (/ (pow y 3) (pow x 2))) (+ (* -1 (/ (pow y 4) (pow x 4))) (* -1 (/ (pow y 5) (pow x 6))))) (pow y 2)) (pow x 2)) |
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2))) (pow x 4))) (* 1/2 (/ y (pow x 2)))))) |
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2))) (pow x 4))) (+ (* 1/4 (/ (* y (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2)))) (pow x 6))) (* 1/2 (/ y (pow x 2))))))) |
1 |
(+ 1 (/ y (pow x 2))) |
(- (+ 1 (/ (pow y 2) (pow x 4))) (* -1 (/ y (pow x 2)))) |
(- (+ 1 (/ (pow y 3) (pow x 6))) (+ (* -1 (/ y (pow x 2))) (* -1 (/ (pow y 2) (pow x 4))))) |
(/ y (pow x 2)) |
(/ (+ y (/ (pow y 2) (pow x 2))) (pow x 2)) |
(/ (- (+ y (/ (pow y 3) (pow x 4))) (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2)) |
(/ (- (+ y (/ (pow y 4) (pow x 6))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* -1 (/ (pow y 3) (pow x 4))))) (pow x 2)) |
(/ (pow y 2) (pow x 2)) |
(/ (+ (/ (pow y 3) (pow x 2)) (pow y 2)) (pow x 2)) |
(/ (- (+ (/ (pow y 4) (pow x 4)) (pow y 2)) (* -1 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ (pow y 5) (pow x 6)) (pow y 2)) (+ (* -1 (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 4) (pow x 4))))) (pow x 2)) |
(* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))) |
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2))) (pow x 4))) (* 1/2 (/ y (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2))) (pow x 4))) (+ (* 1/4 (/ (* y (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2)))) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))) |
(+ x (* 1/2 (/ y x))) |
(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* y (+ (* y (- (* 1/16 (/ y (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 2)))) |
(* (pow y 2) (- (* y (- (* -1 (/ y (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(+ 1 (* y (+ (/ 1 (pow x 2)) (/ y (pow x 4))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 4)) (/ y (pow x 6)))) (/ 1 (pow x 2))))) |
(* y (+ (/ 1 (pow x 2)) (/ y (pow x 4)))) |
(* y (+ (* y (+ (/ 1 (pow x 4)) (/ y (pow x 6)))) (/ 1 (pow x 2)))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 6)) (/ y (pow x 8)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(* (pow y 2) (+ (/ 1 (pow x 2)) (/ y (pow x 4)))) |
(* (pow y 2) (+ (* y (+ (/ 1 (pow x 4)) (/ y (pow x 6)))) (/ 1 (pow x 2)))) |
(* (pow y 2) (+ (* y (+ (* y (+ (/ 1 (pow x 6)) (/ y (pow x 8)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 6) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))) |
(* y (+ 1 (/ (pow x 2) y))) |
(* y (+ (* 1/2 (/ 1 x)) (/ x y))) |
(* y (+ 1 (+ (* -1 (/ (pow x 4) (pow y 2))) (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 2)))))) |
(* y (+ 1 (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 2))))) |
(* y (+ 1 (+ (/ (pow x 2) y) (+ (/ (pow x 4) (pow y 2)) (/ (pow x 6) (pow y 3)))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 4)) (pow x 4)))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 4)) (pow x 4)))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))) |
(/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 2))) y) |
(/ (- (+ (* -1 (/ (pow x 6) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 4) y)) y) |
(/ (- (+ (* -1 (/ (pow x 8) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 4) y) (/ (pow x 6) (pow y 2)))) y) |
(- (* -1 (/ (pow x 4) (pow y 2))) (+ 1 (/ (pow x 2) y))) |
(- (* -1 (/ (pow x 6) (pow y 3))) (+ 1 (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 2))))) |
(* y (- (* -1 (/ (pow x 2) y)) 1)) |
(* y (- (* -1 (/ (pow x 4) (pow y 2))) (+ 1 (/ (pow x 2) y)))) |
(* y (- (* -1 (/ (pow x 6) (pow y 3))) (+ 1 (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 2)))))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 6) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x))))) |
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 4)) (pow x 4)) y)) (pow x 2)) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ (/ (pow x 4) y) (pow x 2)) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 6) y)) (* -1 (pow x 4))) y)) (pow x 2)) y)) 1))) |
(* -1 (* y (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 4)) (pow x 4)))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1 (/ (+ (* 1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt y))) (* 1/2 (* (sqrt y) (+ (* -1 (pow x 4)) (pow x 4))))) (pow y 3))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (/ (+ (/ (pow x 4) y) (pow x 2)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 6) y)) (pow x 4)) y)) (pow x 2)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 8) y) (* -1 (pow x 6))) y)) (pow x 4)) y)) (pow x 2)) y)) |
(- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 2))) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 6) y)) (pow x 4)) y)) (* -1 (pow x 2))) y)) 1) |
(* -1 (* y (+ 1 (/ (pow x 2) y)))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 2)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 6) y) (* -1 (pow x 4))) y)) (pow x 2)) y))))) |
| Outputs |
|---|
(sqrt y) |
(sqrt.f64 y) |
(+ (sqrt y) (* 1/2 (* (pow x 2) (sqrt (/ 1 y))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(+ (sqrt y) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (sqrt.f64 y)) |
(+ (sqrt y) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 y))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (sqrt.f64 y)) |
y |
(+ y (pow x 2)) |
(fma.f64 x x y) |
(* -1 x) |
(neg.f64 x) |
(* 1/2 (/ y x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y) |
(/ (+ (* 1/2 y) (pow x 2)) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 x x)) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(- (pow x 2) (* -1 y)) |
(fma.f64 x x y) |
(- (* (pow x 2) (+ 1 (/ (pow x 2) y))) (* -1 y)) |
(fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) y)) |
(- (* (pow x 2) (+ 1 (* (pow x 2) (+ (/ 1 y) (/ (pow x 2) (pow y 2)))))) (* -1 y)) |
(fma.f64 x (fma.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y) x x) y) |
(pow x 2) |
(*.f64 x x) |
(* -1 (/ (pow x 2) y)) |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 2))) (/ 1 y))) |
(/.f64 (neg.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) y) |
(* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 x (/.f64 x y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) (*.f64 x x) (/.f64 #s(literal -1 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) (*.f64 x x) (/.f64 #s(literal -1 binary64) y)) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (pow x 2) y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) y)) |
(- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 2))) (/ 1 y))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 x (/.f64 x y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) (*.f64 x x) (/.f64 #s(literal -1 binary64) y)) (*.f64 x x) #s(literal -1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* -1 (pow x 2))) |
(neg.f64 (fma.f64 x x y)) |
(+ (* -1 y) (* (pow x 2) (- (* -1 (/ (pow x 2) y)) 1))) |
(-.f64 (neg.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) y) |
(+ (* -1 y) (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 2))) (/ 1 y))) 1))) |
(fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) x) x (neg.f64 y)) |
x |
(* x (+ 1 (* 1/2 (/ y (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y x) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) y) y) (pow.f64 x #s(literal 4 binary64))))) x x) |
(* (pow x 2) (+ 1 (/ y (pow x 2)))) |
(*.f64 x (fma.f64 (/.f64 (/.f64 y x) x) x x)) |
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 4)))) (* -1 (/ y (pow x 2))))) |
(*.f64 x (fma.f64 (/.f64 (/.f64 y x) x) x x)) |
(* -1 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 y (*.f64 (neg.f64 x) x)) y) |
(/ (- (* -1 (/ (pow y 3) (pow x 2))) (pow y 2)) (pow x 2)) |
(*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 (/.f64 y x) x)) (neg.f64 y)) |
(/ (- (+ (* -1 (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 4) (pow x 4)))) (pow y 2)) (pow x 2)) |
(/.f64 (neg.f64 (fma.f64 y (fma.f64 (/.f64 (/.f64 y x) x) y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (- (+ (* -1 (/ (pow y 3) (pow x 2))) (+ (* -1 (/ (pow y 4) (pow x 4))) (* -1 (/ (pow y 5) (pow x 6))))) (pow y 2)) (pow x 2)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 (/.f64 (/.f64 y x) x) y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x)) |
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2))) (pow x 4))) (* 1/2 (/ y (pow x 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) |
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2))) (pow x 4))) (+ (* 1/4 (/ (* y (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2)))) (pow x 6))) (* 1/2 (/ y (pow x 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 y (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y (pow x 2))) |
(+.f64 (/.f64 (/.f64 y x) x) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow y 2) (pow x 4))) (* -1 (/ y (pow x 2)))) |
(fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (+.f64 (/.f64 (/.f64 y x) x) #s(literal 1 binary64))) |
(- (+ 1 (/ (pow y 3) (pow x 6))) (+ (* -1 (/ y (pow x 2))) (* -1 (/ (pow y 2) (pow x 4))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) y (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y #s(literal 1 binary64)) |
(/ y (pow x 2)) |
(/.f64 (/.f64 y x) x) |
(/ (+ y (/ (pow y 2) (pow x 2))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 y x) x) y y) x) x) |
(/ (- (+ y (/ (pow y 3) (pow x 4))) (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 (/.f64 y x) x)) y y) x) x) |
(/ (- (+ y (/ (pow y 4) (pow x 6))) (+ (* -1 (/ (pow y 2) (pow x 2))) (* -1 (/ (pow y 3) (pow x 4))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (+.f64 (/.f64 (/.f64 y x) x) #s(literal 1 binary64))) y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x)) |
(/ (pow y 2) (pow x 2)) |
(*.f64 (/.f64 (/.f64 y x) x) y) |
(/ (+ (/ (pow y 3) (pow x 2)) (pow y 2)) (pow x 2)) |
(*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 (/.f64 y x) x)) y) |
(/ (- (+ (/ (pow y 4) (pow x 4)) (pow y 2)) (* -1 (/ (pow y 3) (pow x 2)))) (pow x 2)) |
(/.f64 (fma.f64 y (fma.f64 (/.f64 (/.f64 y x) x) y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(/ (- (+ (/ (pow y 5) (pow x 6)) (pow y 2)) (+ (* -1 (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 4) (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (fma.f64 y (fma.f64 (/.f64 (/.f64 y x) x) y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x)) |
(* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y x) x) #s(literal -1 binary64)) x) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y x) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) y) y) (pow.f64 x #s(literal 4 binary64))))) x x)) |
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y x) x) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2))) (pow x 4))) (* 1/2 (/ y (pow x 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2))) (pow x 4))) (+ (* 1/4 (/ (* y (+ (* -1 (pow y 2)) (+ (* 1/4 (pow y 2)) (pow y 2)))) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 y (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 x)) |
(+ x (* 1/2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) |
(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x))))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) y x) |
(+ x (* y (+ (* y (- (* 1/16 (/ y (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal 1/2 binary64) x)) y x) |
(* (pow y 2) (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 (/.f64 y x) x)) (neg.f64 y)) |
(* (pow y 2) (- (* y (- (* -1 (/ y (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 y y)) |
(* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 y (pow.f64 x #s(literal 8 binary64)))) y (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 y y)) |
(+ 1 (* y (+ (/ 1 (pow x 2)) (/ y (pow x 4))))) |
(fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (+.f64 (/.f64 (/.f64 y x) x) #s(literal 1 binary64))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 4)) (/ y (pow x 6)))) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) y (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y #s(literal 1 binary64)) |
(* y (+ (/ 1 (pow x 2)) (/ y (pow x 4)))) |
(fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 (/.f64 y x) x)) |
(* y (+ (* y (+ (/ 1 (pow x 4)) (/ y (pow x 6)))) (/ 1 (pow x 2)))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 6 binary64))) y (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 (/.f64 y x) x)) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 6)) (/ y (pow x 8)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 8 binary64))) y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) y (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 (/.f64 y x) x)) |
(* (pow y 2) (+ (/ 1 (pow x 2)) (/ y (pow x 4)))) |
(*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 (/.f64 y x) x)) y) |
(* (pow y 2) (+ (* y (+ (/ 1 (pow x 4)) (/ y (pow x 6)))) (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 6 binary64))) y (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 (/.f64 y x) x)) y) |
(* (pow y 2) (+ (* y (+ (* y (+ (/ 1 (pow x 6)) (/ y (pow x 8)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 8 binary64))) y (/.f64 y (pow.f64 x #s(literal 6 binary64)))) y (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (/.f64 (/.f64 y x) x)) y) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 6) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) |
(* y (+ 1 (/ (pow x 2) y))) |
(fma.f64 (/.f64 (*.f64 x x) y) y y) |
(* y (+ (* 1/2 (/ 1 x)) (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) y) |
(* y (+ 1 (+ (* -1 (/ (pow x 4) (pow y 2))) (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 2)))))) |
(*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) y) (fma.f64 x (/.f64 x y) #s(literal 1 binary64))) y) |
(* y (+ 1 (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 2))))) |
(fma.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y) y y) |
(* y (+ 1 (+ (/ (pow x 2) y) (+ (/ (pow x 4) (pow y 2)) (/ (pow x 6) (pow y 3)))))) |
(fma.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) y y) |
(* y (+ (sqrt (/ 1 y)) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 4)) (pow x 4)))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y #s(literal 0 binary64)) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 4)) (pow x 4)))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) |
(/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 2))) y) |
(/.f64 (neg.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) y) |
(/ (- (+ (* -1 (/ (pow x 6) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 4) y)) y) |
(/.f64 (neg.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y))) y) |
(/ (- (+ (* -1 (/ (pow x 8) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 4) y) (/ (pow x 6) (pow y 2)))) y) |
(/.f64 (neg.f64 (+.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y)) (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64))))) y) |
(- (* -1 (/ (pow x 4) (pow y 2))) (+ 1 (/ (pow x 2) y))) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) |
(- (* -1 (/ (pow x 6) (pow y 3))) (+ 1 (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 2))))) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y)) y)) |
(* y (- (* -1 (/ (pow x 2) y)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) y)) y) |
(* y (- (* -1 (/ (pow x 4) (pow y 2))) (+ 1 (/ (pow x 2) y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y) |
(* y (- (* -1 (/ (pow x 6) (pow y 3))) (+ 1 (+ (/ (pow x 2) y) (/ (pow x 4) (pow y 2)))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y)) y)) y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* y (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 6) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) |
(fma.f64 (/.f64 (*.f64 x x) y) y y) |
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x))))) |
(*.f64 (+.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x)) y) |
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 4)) (pow x 4)) y)) (pow x 2)) y)) 1))) |
(fma.f64 (/.f64 (*.f64 x x) y) y y) |
(* -1 (* y (- (* -1 (/ (+ (/ (pow x 4) y) (pow x 2)) y)) 1))) |
(fma.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y) y y) |
(* -1 (* y (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 6) y)) (* -1 (pow x 4))) y)) (pow x 2)) y)) 1))) |
(fma.f64 (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y)) y) y y) |
(* -1 (* y (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 4)) (pow x 4)))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (/ (+ (* 1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt y))) (* 1/2 (* (sqrt y) (+ (* -1 (pow x 4)) (pow x 4))))) (pow y 3))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (sqrt.f64 y) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal 0 binary64))) (pow.f64 y #s(literal 3 binary64)))) y) |
(* -1 (/ (+ (/ (pow x 4) y) (pow x 2)) y)) |
(/.f64 (neg.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) y) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 6) y)) (pow x 4)) y)) (pow x 2)) y)) |
(/.f64 (neg.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y))) y) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 8) y) (* -1 (pow x 6))) y)) (pow x 4)) y)) (pow x 2)) y)) |
(/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) y) (pow.f64 x #s(literal 6 binary64))) y) (pow.f64 x #s(literal 4 binary64))) y)) (neg.f64 y)) |
(- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 2))) y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 6) y)) (pow x 4)) y)) (* -1 (pow x 2))) y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y)) y)) |
(* -1 (* y (+ 1 (/ (pow x 2) y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) y)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 2)) y))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 6) y) (* -1 (pow x 4))) y)) (pow x 2)) y))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y)) y)) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 135 |
| 0 | 38 | 97 |
| 1 | 128 | 97 |
| 2 | 897 | 94 |
| 0 | 8390 | 94 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 x x y)) |
(fma.f64 x x y) |
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y)) |
(sqrt.f64 y) |
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) |
(/.f64 #s(literal 1/2 binary64) x) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))))) |
(neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))) |
(sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))) |
(*.f64 x x) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) |
(/.f64 y (-.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x y))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 x x) y)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y (fma.f64 (neg.f64 x) x y) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (fma.f64 y (fma.f64 (neg.f64 x) x y) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (fma.f64 y (fma.f64 (neg.f64 x) x y) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 x x) y)) (fma.f64 x x y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 x x) y))))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 x x) y)) (fma.f64 x x y))) (sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 x x) y)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 x x) y)) (fma.f64 x x y))) (pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 x x) y)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x y)) (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal 2 binary64))))))) |
(*.f64 (hypot.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y) #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x y)) (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (hypot.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y) (/.f64 (-.f64 (*.f64 y y) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x y)) (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x y))) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 x x y))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) y)))) |
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(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y (fma.f64 x x y)) (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))) |
(+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y)) (*.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)))) |
(+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) y)) |
(+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) y) (*.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 x x) y))) |
(+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (fma.f64 x x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (fma.f64 x x y)))) |
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (-.f64 (*.f64 x x) y)) y)) |
Compiled 23 871 to 2 788 computations (88.3% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 731 | 1 | 732 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 732 | 5 | 737 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.7% | (sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y)))) |
| ✓ | 70.9% | (sqrt.f64 (fma.f64 x x y)) |
| ✓ | 67.8% | #s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) |
| ✓ | 35.1% | #s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y)) |
| ✓ | 1.3% | #s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) |
Compiled 59 to 38 computations (35.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y)))) | |
| cost-diff | 18 | (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 83 |
| 0 | 22 | 83 |
| 1 | 41 | 83 |
| 2 | 64 | 81 |
| 3 | 85 | 77 |
| 4 | 112 | 77 |
| 5 | 213 | 77 |
| 6 | 446 | 77 |
| 7 | 1192 | 77 |
| 8 | 1569 | 69 |
| 9 | 1619 | 65 |
| 10 | 1695 | 65 |
| 11 | 2081 | 49 |
| 12 | 2777 | 49 |
| 13 | 3832 | 49 |
| 14 | 5706 | 49 |
| 15 | 7435 | 49 |
| 0 | 8295 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y)))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y))) |
(*.f64 x x) |
x |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 x x) y) |
y |
(/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y)) |
(*.f64 y y) |
(fma.f64 (neg.f64 x) x y) |
(neg.f64 x) |
| Outputs |
|---|
(sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y)))) |
(sqrt.f64 (fma.f64 x x y)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y))) |
(fma.f64 x x y) |
(*.f64 x x) |
x |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 x (-.f64 (*.f64 x x) y)) x) |
(-.f64 (*.f64 x x) y) |
y |
(/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y)) |
(*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y) |
(*.f64 y y) |
(fma.f64 (neg.f64 x) x y) |
(neg.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (*.f64 x x) y) | |
| accuracy | 16.609335083990015 | (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y)) | |
| accuracy | 18.594502607669273 | (sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y)))) | |
| accuracy | 22.674157146998848 | (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) |
| 34.0ms | 256× | 0 | valid |
Compiled 174 to 26 computations (85.1% saved)
ival-mult: 15.0ms (60.2% of total)ival-div: 3.0ms (12% of total)ival-add: 2.0ms (8% of total)ival-sqrt: 2.0ms (8% of total)ival-sub: 1.0ms (4% of total)ival-neg: 1.0ms (4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y))) |
(sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y)))) |
(*.f64 x x) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y)) |
(-.f64 (*.f64 x x) y) |
| Outputs |
|---|
y |
(+ y (pow x 2)) |
(sqrt y) |
(+ (sqrt y) (* 1/2 (* (pow x 2) (sqrt (/ 1 y))))) |
(+ (sqrt y) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y)))))) |
(+ (sqrt y) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 y))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
(pow x 2) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 2))) (/ 1 y))) |
(* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(+ y (* (pow x 2) (+ 1 (/ (pow x 2) y)))) |
(+ y (* (pow x 2) (+ 1 (* (pow x 2) (+ (/ 1 y) (/ (pow x 2) (pow y 2))))))) |
(* -1 y) |
(- (pow x 2) y) |
(* (pow x 2) (+ 1 (/ y (pow x 2)))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 3)) (pow y 3)) (pow x 6)))) (* -1 (/ y (pow x 2))))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 4)) (pow y 4)) (pow x 8)))) (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 6))) (/ (pow y 3) (pow x 6)))))) |
x |
(* x (+ 1 (* 1/2 (/ y (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))) |
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 3)) (+ (* -1/8 (pow y 3)) (pow y 3))) (pow x 6))) (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))) |
1 |
(+ 1 (/ y (pow x 2))) |
(- (+ 1 (/ (pow y 2) (pow x 4))) (* -1 (/ y (pow x 2)))) |
(- (+ 1 (/ (pow y 3) (pow x 6))) (+ (* -1 (/ y (pow x 2))) (* -1 (/ (pow y 2) (pow x 4))))) |
(* -1 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1 (/ (pow y 3) (pow x 2))) (* -1 (pow y 2))) (pow x 2)) |
(/ (- (+ (* -1 (/ (pow y 4) (pow x 4))) (* -1 (pow y 2))) (/ (pow y 3) (pow x 2))) (pow x 2)) |
(/ (- (+ (* -1 (/ (pow y 5) (pow x 6))) (* -1 (pow y 2))) (+ (/ (pow y 3) (pow x 2)) (/ (pow y 4) (pow x 4)))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 3)) (+ (* -1/8 (pow y 3)) (pow y 3))) (pow x 6))) (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))))) |
(+ x (* 1/2 (/ y x))) |
(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* y (+ (* y (- (* 1/16 (/ y (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(+ 1 (* y (+ (/ 1 (pow x 2)) (/ y (pow x 4))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 4)) (/ y (pow x 6)))) (/ 1 (pow x 2))))) |
(* (pow y 2) (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 2)))) |
(* (pow y 2) (- (* y (- (* -1 (/ y (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(+ (* -1 y) (pow x 2)) |
(* y (+ 1 (/ (pow x 2) y))) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 6)) (pow x 6)) (pow y 3)))) (* -1 (/ (pow x 2) y)))) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 8)) (pow x 8)) (pow y 4)))) (+ (* -1 (/ (pow x 2) y)) (+ (* -1 (/ (pow x 6) (pow y 3))) (/ (pow x 6) (pow y 3)))))) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 6)) (+ (* 1/4 (* (pow x 4) y)) (pow x 6))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 6)) (+ (* 1/4 (* (pow x 4) y)) (pow x 6))))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 9))) (+ (* -1 (pow x 8)) (pow x 8)))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))) |
(/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 2))) y) |
(/ (- (+ (* -1 (/ (pow x 6) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 4) y)) y) |
(/ (- (+ (* -1 (/ (pow x 8) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 4) y) (/ (pow x 6) (pow y 2)))) y) |
(* y (- (+ 1 (/ (pow x 4) (pow y 2))) (* -1 (/ (pow x 2) y)))) |
(* y (- (+ 1 (/ (pow x 6) (pow y 3))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 4) (pow y 2)))))) |
(* y (- (/ (pow x 2) y) 1)) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (+ (* -1 (pow x 6)) (pow x 6)) (pow y 2))) (* -1 (pow x 2))) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (pow x 8) (pow y 3))) (/ (pow x 8) (pow y 3))) (+ (* -1 (/ (pow x 6) (pow y 2))) (+ (* -1 (pow x 2)) (/ (pow x 6) (pow y 2))))) y)) 1))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 6)) (+ (* -1/4 (/ (* (pow x 4) y) (pow (sqrt -1) 2))) (pow x 6))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 6)) (+ (* -1/4 (/ (* (pow x 4) y) (pow (sqrt -1) 2))) (pow x 6))))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 9))) (+ (* -1 (pow x 8)) (pow x 8)))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(* -1 (/ (+ (/ (pow x 4) y) (pow x 2)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 6) y)) (pow x 4)) y)) (pow x 2)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 8) y) (* -1 (pow x 6))) y)) (pow x 4)) y)) (pow x 2)) y)) |
(* -1 (* y (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 2))) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 6) y)) (pow x 4)) y)) (* -1 (pow x 2))) y)) 1))) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((+ (* (* x x) (/ (* x x) (- (* x x) y))) (/ (* y y) (+ (* (neg x) x) y))) (sqrt (+ (* (* x x) (/ (* x x) (- (* x x) y))) (/ (* y y) (+ (* (neg x) x) y)))) (* x x) (/ (* x x) (- (* x x) y)) (/ (* y y) (+ (* (neg x) x) y)) (- (* x x) y)) |
| 1.0ms | y | @ | inf | ((+ (* (* x x) (/ (* x x) (- (* x x) y))) (/ (* y y) (+ (* (neg x) x) y))) (sqrt (+ (* (* x x) (/ (* x x) (- (* x x) y))) (/ (* y y) (+ (* (neg x) x) y)))) (* x x) (/ (* x x) (- (* x x) y)) (/ (* y y) (+ (* (neg x) x) y)) (- (* x x) y)) |
| 1.0ms | y | @ | -inf | ((+ (* (* x x) (/ (* x x) (- (* x x) y))) (/ (* y y) (+ (* (neg x) x) y))) (sqrt (+ (* (* x x) (/ (* x x) (- (* x x) y))) (/ (* y y) (+ (* (neg x) x) y)))) (* x x) (/ (* x x) (- (* x x) y)) (/ (* y y) (+ (* (neg x) x) y)) (- (* x x) y)) |
| 1.0ms | x | @ | 0 | ((+ (* (* x x) (/ (* x x) (- (* x x) y))) (/ (* y y) (+ (* (neg x) x) y))) (sqrt (+ (* (* x x) (/ (* x x) (- (* x x) y))) (/ (* y y) (+ (* (neg x) x) y)))) (* x x) (/ (* x x) (- (* x x) y)) (/ (* y y) (+ (* (neg x) x) y)) (- (* x x) y)) |
| 1.0ms | y | @ | 0 | ((+ (* (* x x) (/ (* x x) (- (* x x) y))) (/ (* y y) (+ (* (neg x) x) y))) (sqrt (+ (* (* x x) (/ (* x x) (- (* x x) y))) (/ (* y y) (+ (* (neg x) x) y)))) (* x x) (/ (* x x) (- (* x x) y)) (/ (* y y) (+ (* (neg x) x) y)) (- (* x x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 350 | 1256 |
| 1 | 1064 | 1170 |
| 2 | 3557 | 1116 |
| 0 | 8376 | 1036 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ y (pow x 2)) |
(sqrt y) |
(+ (sqrt y) (* 1/2 (* (pow x 2) (sqrt (/ 1 y))))) |
(+ (sqrt y) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y)))))) |
(+ (sqrt y) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 y))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
(pow x 2) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 2))) (/ 1 y))) |
(* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(+ y (* (pow x 2) (+ 1 (/ (pow x 2) y)))) |
(+ y (* (pow x 2) (+ 1 (* (pow x 2) (+ (/ 1 y) (/ (pow x 2) (pow y 2))))))) |
(* -1 y) |
(- (pow x 2) y) |
(* (pow x 2) (+ 1 (/ y (pow x 2)))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 3)) (pow y 3)) (pow x 6)))) (* -1 (/ y (pow x 2))))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 4)) (pow y 4)) (pow x 8)))) (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 6))) (/ (pow y 3) (pow x 6)))))) |
x |
(* x (+ 1 (* 1/2 (/ y (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))) |
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 3)) (+ (* -1/8 (pow y 3)) (pow y 3))) (pow x 6))) (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))) |
1 |
(+ 1 (/ y (pow x 2))) |
(- (+ 1 (/ (pow y 2) (pow x 4))) (* -1 (/ y (pow x 2)))) |
(- (+ 1 (/ (pow y 3) (pow x 6))) (+ (* -1 (/ y (pow x 2))) (* -1 (/ (pow y 2) (pow x 4))))) |
(* -1 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1 (/ (pow y 3) (pow x 2))) (* -1 (pow y 2))) (pow x 2)) |
(/ (- (+ (* -1 (/ (pow y 4) (pow x 4))) (* -1 (pow y 2))) (/ (pow y 3) (pow x 2))) (pow x 2)) |
(/ (- (+ (* -1 (/ (pow y 5) (pow x 6))) (* -1 (pow y 2))) (+ (/ (pow y 3) (pow x 2)) (/ (pow y 4) (pow x 4)))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 3)) (+ (* -1/8 (pow y 3)) (pow y 3))) (pow x 6))) (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))))) |
(+ x (* 1/2 (/ y x))) |
(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* y (+ (* y (- (* 1/16 (/ y (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(+ 1 (* y (+ (/ 1 (pow x 2)) (/ y (pow x 4))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 4)) (/ y (pow x 6)))) (/ 1 (pow x 2))))) |
(* (pow y 2) (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 2)))) |
(* (pow y 2) (- (* y (- (* -1 (/ y (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(+ (* -1 y) (pow x 2)) |
(* y (+ 1 (/ (pow x 2) y))) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 6)) (pow x 6)) (pow y 3)))) (* -1 (/ (pow x 2) y)))) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 8)) (pow x 8)) (pow y 4)))) (+ (* -1 (/ (pow x 2) y)) (+ (* -1 (/ (pow x 6) (pow y 3))) (/ (pow x 6) (pow y 3)))))) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 6)) (+ (* 1/4 (* (pow x 4) y)) (pow x 6))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 6)) (+ (* 1/4 (* (pow x 4) y)) (pow x 6))))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 9))) (+ (* -1 (pow x 8)) (pow x 8)))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))) |
(/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 2))) y) |
(/ (- (+ (* -1 (/ (pow x 6) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 4) y)) y) |
(/ (- (+ (* -1 (/ (pow x 8) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 4) y) (/ (pow x 6) (pow y 2)))) y) |
(* y (- (+ 1 (/ (pow x 4) (pow y 2))) (* -1 (/ (pow x 2) y)))) |
(* y (- (+ 1 (/ (pow x 6) (pow y 3))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 4) (pow y 2)))))) |
(* y (- (/ (pow x 2) y) 1)) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (+ (* -1 (pow x 6)) (pow x 6)) (pow y 2))) (* -1 (pow x 2))) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (pow x 8) (pow y 3))) (/ (pow x 8) (pow y 3))) (+ (* -1 (/ (pow x 6) (pow y 2))) (+ (* -1 (pow x 2)) (/ (pow x 6) (pow y 2))))) y)) 1))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 6)) (+ (* -1/4 (/ (* (pow x 4) y) (pow (sqrt -1) 2))) (pow x 6))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 6)) (+ (* -1/4 (/ (* (pow x 4) y) (pow (sqrt -1) 2))) (pow x 6))))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 9))) (+ (* -1 (pow x 8)) (pow x 8)))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(* -1 (/ (+ (/ (pow x 4) y) (pow x 2)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 6) y)) (pow x 4)) y)) (pow x 2)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 8) y) (* -1 (pow x 6))) y)) (pow x 4)) y)) (pow x 2)) y)) |
(* -1 (* y (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 2))) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 6) y)) (pow x 4)) y)) (* -1 (pow x 2))) y)) 1))) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y))))) |
| Outputs |
|---|
y |
(+ y (pow x 2)) |
(fma.f64 x x y) |
(sqrt y) |
(sqrt.f64 y) |
(+ (sqrt y) (* 1/2 (* (pow x 2) (sqrt (/ 1 y))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(+ (sqrt y) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (sqrt.f64 y)) |
(+ (sqrt y) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 y))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) (*.f64 x x) (sqrt.f64 y)) |
(pow x 2) |
(*.f64 x x) |
(* -1 (/ (pow x 2) y)) |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 2))) (/ 1 y))) |
(/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (neg.f64 y)) |
(* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 x (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 x x) (/.f64 #s(literal -1 binary64) y)) (*.f64 x x)) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (pow x 2) (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 x x) (/.f64 #s(literal -1 binary64) y)) (*.f64 x x)) |
(+ y (* (pow x 2) (+ 1 (/ (pow x 2) y)))) |
(fma.f64 x x (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) y)) |
(+ y (* (pow x 2) (+ 1 (* (pow x 2) (+ (/ 1 y) (/ (pow x 2) (pow y 2))))))) |
(fma.f64 x (fma.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y) x x) y) |
(* -1 y) |
(neg.f64 y) |
(- (pow x 2) y) |
(fma.f64 x x (neg.f64 y)) |
(* (pow x 2) (+ 1 (/ y (pow x 2)))) |
(*.f64 x (fma.f64 (/.f64 y (*.f64 x x)) x x)) |
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 3)) (pow y 3)) (pow x 6)))) (* -1 (/ y (pow x 2))))) |
(*.f64 x (fma.f64 (/.f64 y (*.f64 x x)) x x)) |
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 4)) (pow y 4)) (pow x 8)))) (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 6))) (/ (pow y 3) (pow x 6)))))) |
(*.f64 x (fma.f64 (/.f64 y (*.f64 x x)) x x)) |
x |
(* x (+ 1 (* 1/2 (/ y (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y) #s(literal -1/8 binary64) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) |
(* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 3)) (+ (* -1/8 (pow y 3)) (pow y 3))) (pow x 6))) (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y) #s(literal -1/8 binary64) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y (pow x 2))) |
(+.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow y 2) (pow x 4))) (* -1 (/ y (pow x 2)))) |
(fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (+.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64))) |
(- (+ 1 (/ (pow y 3) (pow x 6))) (+ (* -1 (/ y (pow x 2))) (* -1 (/ (pow y 2) (pow x 4))))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 6 binary64))) y (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (+.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64))) |
(* -1 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 y x)) |
(/ (+ (* -1 (/ (pow y 3) (pow x 2))) (* -1 (pow y 2))) (pow x 2)) |
(/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ (* -1 (/ (pow y 4) (pow x 4))) (* -1 (pow y 2))) (/ (pow y 3) (pow x 2))) (pow x 2)) |
(/.f64 (neg.f64 (fma.f64 y (fma.f64 (/.f64 y x) (/.f64 y x) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (- (+ (* -1 (/ (pow y 5) (pow x 6))) (* -1 (pow y 2))) (+ (/ (pow y 3) (pow x 2)) (/ (pow y 4) (pow x 4)))) (pow x 2)) |
(/.f64 (-.f64 (neg.f64 (fma.f64 y (fma.f64 (/.f64 y x) (/.f64 y x) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y) #s(literal -1/8 binary64) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(* -1 (* x (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow y 3)) (+ (* -1/8 (pow y 3)) (pow y 3))) (pow x 6))) (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y) #s(literal -1/8 binary64) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(+ x (* 1/2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x) |
(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x))))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) y x) |
(+ x (* y (+ (* y (- (* 1/16 (/ y (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal 1/2 binary64) x)) y x) |
(+ 1 (* y (+ (/ 1 (pow x 2)) (/ y (pow x 4))))) |
(fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (+.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 4)) (/ y (pow x 6)))) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 6 binary64))) y (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y (+.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64))) |
(* (pow y 2) (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y)) |
(* (pow y 2) (- (* y (- (* -1 (/ y (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 y y)) |
(* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 y (pow.f64 x #s(literal 8 binary64)))) y (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 y y)) |
(+ (* -1 y) (pow x 2)) |
(fma.f64 x x (neg.f64 y)) |
(* y (+ 1 (/ (pow x 2) y))) |
(fma.f64 (/.f64 (*.f64 x x) y) y y) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 6)) (pow x 6)) (pow y 3)))) (* -1 (/ (pow x 2) y)))) |
(fma.f64 (/.f64 (*.f64 x x) y) y y) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 8)) (pow x 8)) (pow y 4)))) (+ (* -1 (/ (pow x 2) y)) (+ (* -1 (/ (pow x 6) (pow y 3))) (/ (pow x 6) (pow y 3)))))) |
(fma.f64 (/.f64 (*.f64 x x) y) y y) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 6)) (+ (* 1/4 (* (pow x 4) y)) (pow x 6))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 6)) (+ (* 1/4 (* (pow x 4) y)) (pow x 6))))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 9))) (+ (* -1 (pow x 8)) (pow x 8)))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y #s(literal 0 binary64)) |
(/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 2))) y) |
(/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (neg.f64 y)) |
(/ (- (+ (* -1 (/ (pow x 6) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 4) y)) y) |
(/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y)) (neg.f64 y)) |
(/ (- (+ (* -1 (/ (pow x 8) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 4) y) (/ (pow x 6) (pow y 2)))) y) |
(/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y) (fma.f64 x x (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 3 binary64)))))) y) |
(* y (- (+ 1 (/ (pow x 4) (pow y 2))) (* -1 (/ (pow x 2) y)))) |
(fma.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y) y y) |
(* y (- (+ 1 (/ (pow x 6) (pow y 3))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 4) (pow y 2)))))) |
(fma.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y y) |
(* y (- (/ (pow x 2) y) 1)) |
(*.f64 (fma.f64 x (/.f64 x y) #s(literal -1 binary64)) y) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) |
(fma.f64 (/.f64 (*.f64 x x) y) y y) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (+ (* -1 (pow x 6)) (pow x 6)) (pow y 2))) (* -1 (pow x 2))) y)) 1))) |
(fma.f64 (/.f64 (*.f64 x x) y) y y) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (pow x 8) (pow y 3))) (/ (pow x 8) (pow y 3))) (+ (* -1 (/ (pow x 6) (pow y 2))) (+ (* -1 (pow x 2)) (/ (pow x 6) (pow y 2))))) y)) 1))) |
(fma.f64 (/.f64 (*.f64 x x) y) y y) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* y (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 6)) (+ (* -1/4 (/ (* (pow x 4) y) (pow (sqrt -1) 2))) (pow x 6))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal -1 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* -1 (pow x 6)) (+ (* -1/4 (/ (* (pow x 4) y) (pow (sqrt -1) 2))) (pow x 6))))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 9))) (+ (* -1 (pow x 8)) (pow x 8)))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal -1 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (neg.f64 y)) |
(* -1 (/ (+ (/ (pow x 4) y) (pow x 2)) y)) |
(/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 6) y)) (pow x 4)) y)) (pow x 2)) y)) |
(/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 8) y) (* -1 (pow x 6))) y)) (pow x 4)) y)) (pow x 2)) y)) |
(/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) y) (pow.f64 x #s(literal 6 binary64))) y) (pow.f64 x #s(literal 4 binary64))) y)) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 2))) y)) 1))) |
(fma.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y) y y) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 6) y)) (pow x 4)) y)) (* -1 (pow x 2))) y)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y)) y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y))))) |
(*.f64 (fma.f64 x (/.f64 x y) #s(literal -1 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 71 |
| 0 | 22 | 71 |
| 1 | 94 | 65 |
| 2 | 798 | 37 |
| 0 | 9439 | 35 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y))) |
(sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y)))) |
(*.f64 x x) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y)) |
(-.f64 (*.f64 x x) y) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x x y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 x x) y) (pow.f64 (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (/.f64 (neg.f64 (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (neg.f64 (fma.f64 x x y)) (pow.f64 (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x y))))) |
(*.f64 (*.f64 (fma.f64 x x y) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) #s(literal -2 binary64)) (*.f64 y y) (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64)))))))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) y (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -2 binary64)) (-.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y) (*.f64 (*.f64 (-.f64 (*.f64 x x) y) y) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x y) (*.f64 (*.f64 (-.f64 (*.f64 x x) y) y) y)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (-.f64 (*.f64 x x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 x) x y) (pow.f64 y #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (neg.f64 x) x y) (pow.f64 y #s(literal -2 binary64))) (-.f64 (*.f64 x x) y)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 x x) y) (*.f64 (-.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 x x) y) (*.f64 (fma.f64 (neg.f64 x) x y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64))) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x y))) |
(*.f64 (pow.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 x x) y) (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x y)) |
(*.f64 (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(*.f64 (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 (neg.f64 x) x y))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) #s(literal -2 binary64)) (*.f64 y y)))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) #s(literal -2 binary64)) (*.f64 y y) (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y)))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))) (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))) (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))) (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))) (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 (neg.f64 x) x y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x y) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) #s(literal -2 binary64)) (*.f64 y y) (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) y (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal -2 binary64)) (-.f64 (*.f64 x x) y))) (neg.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y) (*.f64 (*.f64 (-.f64 (*.f64 x x) y) y) (neg.f64 y)))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x y) (*.f64 (*.f64 (-.f64 (*.f64 x x) y) y) y))) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) y) (*.f64 (*.f64 (fma.f64 (neg.f64 x) x y) (pow.f64 y #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x) x y) (pow.f64 y #s(literal -2 binary64))) (-.f64 (*.f64 x x) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 x x) y) (*.f64 (-.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 x x) y) (*.f64 (fma.f64 (neg.f64 x) x y) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y)) (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y)) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) y)) (*.f64 (/.f64 y (fma.f64 (neg.f64 x) x y)) y)))) |
(/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) (*.f64 (neg.f64 y) y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) (-.f64 (*.f64 x x) y))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (neg.f64 x) x y) (pow.f64 y #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 x) x y) (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 x x) y) (*.f64 (fma.f64 (neg.f64 x) x y) (*.f64 (neg.f64 y) y))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x y) (*.f64 (fma.f64 (neg.f64 x) x y) (*.f64 y y))) (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 x x) y) (pow.f64 y #s(literal -2 binary64))) (*.f64 (fma.f64 (neg.f64 x) x y) #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x y) (*.f64 (-.f64 (*.f64 x x) y) (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 (neg.f64 x) x y) (pow.f64 y #s(literal -2 binary64))) (fma.f64 (neg.f64 x) x y)) (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x y) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x x) y) (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 x x) y) (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) x y) (pow.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 (neg.f64 x) x y) (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 (+.f64 (-.f64 (*.f64 x x) y) (*.f64 (/.f64 (-.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 y) y))) (*.f64 (/.f64 (-.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 x x) y))) |
(/.f64 (+.f64 (fma.f64 (neg.f64 x) x y) (*.f64 (/.f64 (-.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64))) (*.f64 y y))) (*.f64 (/.f64 (-.f64 (*.f64 x x) y) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x y))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x x) y) (pow.f64 y #s(literal -2 binary64))) (*.f64 (-.f64 (*.f64 x x) y) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 x x) y) (*.f64 (-.f64 (*.f64 x x) y) (pow.f64 y #s(literal -2 binary64))))) |
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(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 y)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x x y)))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 y #s(literal -1 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (neg.f64 y)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y #s(literal -1 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 y)) |
(fma.f64 y #s(literal -1 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 y)) |
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 y #s(literal -1 binary64))) |
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(fma.f64 x (neg.f64 (neg.f64 x)) (neg.f64 y)) |
(fma.f64 x x (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(fma.f64 x x (*.f64 y #s(literal -1 binary64))) |
(fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(fma.f64 x x (neg.f64 y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (fma.f64 x x y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)) (/.f64 (*.f64 y y) (fma.f64 x x y))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) x y)) |
(-.f64 (neg.f64 y) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 x x) y) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 x x y)))) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 x x y))) |
(+.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 x x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x x y)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 x x y) (pow.f64 x #s(literal 4 binary64)))))) |
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) y)) |
(+.f64 (neg.f64 y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 x x) (*.f64 y #s(literal -1 binary64))) |
(+.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(+.f64 (*.f64 x x) (neg.f64 y)) |
Compiled 17 841 to 2 087 computations (88.3% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 548 | 0 | 548 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 548 | 5 | 553 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.7% | (sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y)))) |
| ✓ | 70.9% | (sqrt.f64 (fma.f64 x x y)) |
| ✓ | 67.8% | #s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) |
| ✓ | 35.1% | #s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y)) |
| ✓ | 1.3% | #s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) |
Compiled 148 to 68 computations (54.1% saved)
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y)) |
(sqrt.f64 (fma.f64 x x y)) |
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) |
(sqrt.f64 (+.f64 (*.f64 x x) y)) |
(sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x y)))) |
(sqrt.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))) |
| Outputs |
|---|
(sqrt.f64 (fma.f64 x x y)) |
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)) |
5 calls:
| 24.0ms | x |
| 3.0ms | (+.f64 (*.f64 x x) y) |
| 3.0ms | y |
| 3.0ms | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | x |
| 84.5% | 2 | y |
| 100.0% | 2 | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| 100.0% | 2 | (+.f64 (*.f64 x x) y) |
| 100.0% | 2 | (*.f64 x x) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y)) |
(sqrt.f64 (fma.f64 x x y)) |
| Outputs |
|---|
(sqrt.f64 (fma.f64 x x y)) |
5 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| 2.0ms | (+.f64 (*.f64 x x) y) |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.9% | 1 | y |
| 70.9% | 1 | x |
| 70.9% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| 70.9% | 1 | (+.f64 (*.f64 x x) y) |
| 70.9% | 1 | (*.f64 x x) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y)) |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y)) |
5 calls:
| 1.0ms | (+.f64 (*.f64 x x) y) |
| 1.0ms | y |
| 1.0ms | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| 1.0ms | x |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.1% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| 35.1% | 1 | (+.f64 (*.f64 x x) y) |
| 35.1% | 1 | (*.f64 x x) |
| 35.1% | 1 | x |
| 35.1% | 1 | y |
Compiled 16 to 16 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) |
5 calls:
| 55.0ms | x |
| 1.0ms | y |
| 1.0ms | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| 1.0ms | (+.f64 (*.f64 x x) y) |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.3% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) y)) |
| 1.3% | 1 | (+.f64 (*.f64 x x) y) |
| 1.3% | 1 | (*.f64 x x) |
| 1.3% | 1 | x |
| 1.3% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4811278457826529e+256 | 2.5637289502738313e+259 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 47 |
| 1 | 25 | 47 |
| 2 | 28 | 47 |
| 3 | 30 | 47 |
| 4 | 34 | 47 |
| 5 | 38 | 47 |
| 6 | 54 | 47 |
| 7 | 153 | 47 |
| 8 | 3687 | 47 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (*.f64 x x) #s(literal 20000000000000000602553198002810850057809730795493902576642159598065482667552924656422247125382915271364876860343455656359338682733727546893769990039911439972557329123488427600520794113124591120448431860539020756576282704805706239832858824928352794692288512 binary64)) (sqrt.f64 (fma.f64 x x y)) #s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x))) |
(sqrt.f64 (fma.f64 x x y)) |
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y)) |
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 x x) #s(literal 20000000000000000602553198002810850057809730795493902576642159598065482667552924656422247125382915271364876860343455656359338682733727546893769990039911439972557329123488427600520794113124591120448431860539020756576282704805706239832858824928352794692288512 binary64)) (sqrt.f64 (fma.f64 x x y)) #s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x))) |
(sqrt.f64 (fma.f64 x x y)) |
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y)) |
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 26 | 14 |
| 2 | 169 | 14 |
| 3 | 1529 | 14 |
| 0 | 8510 | 12 |
| 0 | 133 | 518 |
| 1 | 383 | 503 |
| 2 | 1212 | 495 |
| 3 | 4106 | 450 |
| 0 | 8517 | 412 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 79 to 44 computations (44.3% saved)
Compiled 212 to 110 computations (48.1% saved)
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