Data.Octree.Internal:octantDistance from Octree-0.5.4.2
Time bar (total: 20.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 10 to 5 computations (50% saved)
| 940.0ms | 8 256× | 0 | valid |
ival-hypot: 383.0ms (97.5% of total)ival-true: 7.0ms (1.8% of total)ival-assert: 4.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 127 | 0 | - | 2 | (-1.1510476468067897e-156 -1.9666071394631176e-200) | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) | oflow-rescue | 106 | 0 |
| ↳ | (*.f64 y y) | overflow | 55 | |
| ↳ | (*.f64 x x) | overflow | 66 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 106 | |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) | uflow-rescue | 19 | 0 |
| ↳ | (*.f64 y y) | underflow | 79 | |
| ↳ | (*.f64 x x) | underflow | 62 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | underflow | 19 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 125 | 2 |
| - | 0 | 129 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 125 | 0 | 2 |
| - | 0 | 0 | 129 |
| number | freq |
|---|---|
| 0 | 131 |
| 1 | 125 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 512× | 0 | valid |
Compiled 81 to 28 computations (65.4% saved)
ival-hypot: 8.0ms (45% of total)ival-mult: 7.0ms (39.3% of total)ival-add: 2.0ms (11.2% 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 | 16 | 42 |
| 1 | 35 | 42 |
| 2 | 77 | 42 |
| 3 | 145 | 42 |
| 4 | 204 | 42 |
| 5 | 217 | 42 |
| 6 | 219 | 42 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 11 | 8 |
| 0 | 11 | 3 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| Outputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
(hypot.f64 y x) |
(abs y)
(abs x)
(sort x y)
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.4% | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -5120 | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (+.f64 (*.f64 x x) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 23 |
| 0 | 10 | 23 |
| 1 | 11 | 23 |
| 0 | 11 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
| Outputs |
|---|
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
(hypot.f64 y x) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 29.169986181976576 | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 114.0ms | 256× | 0 | valid |
Compiled 48 to 14 computations (70.8% saved)
ival-hypot: 4.0ms (45.7% of total)ival-mult: 3.0ms (34.2% of total)ival-add: 1.0ms (11.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(*.f64 y y) |
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| Outputs |
|---|
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
y |
(+ y (* 1/2 (/ (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
x |
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
(+ x (* 1/2 (/ (pow y 2) x))) |
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((+ (* x x) (* y y)) (* x x) (* y y) (sqrt (+ (* x x) (* y y)))) |
| 1.0ms | x | @ | inf | ((+ (* x x) (* y y)) (* x x) (* y y) (sqrt (+ (* x x) (* y y)))) |
| 1.0ms | y | @ | inf | ((+ (* x x) (* y y)) (* x x) (* y y) (sqrt (+ (* x x) (* y y)))) |
| 1.0ms | x | @ | -inf | ((+ (* x x) (* y y)) (* x x) (* y y) (sqrt (+ (* x x) (* y y)))) |
| 1.0ms | y | @ | 0 | ((+ (* x x) (* y y)) (* x x) (* y y) (sqrt (+ (* x x) (* y y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 429 |
| 1 | 296 | 429 |
| 2 | 953 | 427 |
| 3 | 3667 | 393 |
| 4 | 6426 | 391 |
| 0 | 8051 | 354 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
y |
(+ y (* 1/2 (/ (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
x |
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
(+ x (* 1/2 (/ (pow y 2) x))) |
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
| Outputs |
|---|
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 y y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
y |
(+ y (* 1/2 (/ (pow x 2) y))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y) |
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) |
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) (/.f64 x (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 y y (*.f64 x x)) |
x |
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) x (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) y (neg.f64 x)) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal -1 binary64)) x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) x))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) y (*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal -1 binary64))) x)) |
(+ x (* 1/2 (/ (pow y 2) x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) |
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) y) y (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) y) (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 y y (*.f64 x x)) |
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) y (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) (neg.f64 y)) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal -1 binary64)) y (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) x (*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal -1 binary64))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 29 | 21 |
| 2 | 196 | 21 |
| 3 | 1788 | 21 |
| 0 | 8624 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(*.f64 y y) |
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| Outputs |
|---|
(*.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (exp.f64 (neg.f64 (log.f64 (*.f64 (-.f64 x y) (+.f64 y x)))))) |
(*.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (neg.f64 (log.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))) |
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x)))))) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (*.f64 (-.f64 x y) (+.f64 y x))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 y #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x y) (+.f64 y x))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (sqrt.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (sqrt.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (sqrt.f64 (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (sqrt.f64 (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 y x))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(sqrt.f64 (fma.f64 y y (*.f64 x x))) |
(hypot.f64 y x) |
(hypot.f64 x y) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y y (*.f64 x x))) #s(literal 1/2 binary64))) |
Compiled 7 430 to 986 computations (86.7% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 259 | 7 | 266 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 260 | 7 | 267 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (hypot.f64 y x) |
| 54.1% | (*.f64 (sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (sqrt.f64 (+.f64 y x))) | |
| ▶ | 54.4% | (sqrt.f64 (fma.f64 y y (*.f64 x x))) |
| ▶ | 53.7% | (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
| 94.1% | #s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) | |
| ▶ | 6.6% | #s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)) |
| ▶ | 1.9% | #s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
Compiled 166 to 110 computations (33.7% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)) | |
| cost-diff | -5120 | (sqrt.f64 (fma.f64 y y (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (+ (* x x) (* y y)) (*.f64 y y)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) | |
| cost-diff | 0 | (hypot.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 94 |
| 0 | 30 | 82 |
| 1 | 42 | 82 |
| 2 | 54 | 82 |
| 3 | 60 | 82 |
| 4 | 65 | 82 |
| 5 | 72 | 82 |
| 6 | 87 | 82 |
| 7 | 136 | 82 |
| 8 | 204 | 82 |
| 9 | 388 | 82 |
| 10 | 728 | 82 |
| 11 | 1442 | 82 |
| 12 | 1588 | 82 |
| 13 | 1649 | 82 |
| 14 | 1667 | 82 |
| 15 | 1679 | 82 |
| 16 | 1751 | 82 |
| 17 | 2191 | 82 |
| 0 | 2191 | 82 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(hypot.f64 y x) |
y |
x |
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
(neg.f64 x) |
x |
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
y |
(sqrt.f64 (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 y x) |
x |
| Outputs |
|---|
(hypot.f64 y x) |
y |
x |
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
(neg.f64 x) |
x |
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
y |
(sqrt.f64 (fma.f64 y y (*.f64 x x))) |
(hypot.f64 y x) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)) |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 y x) (*.f64 y #s(literal 1/2 binary64)) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) |
(fma.f64 (/.f64 y x) (*.f64 y #s(literal 1/2 binary64)) x) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
y |
(/.f64 y x) |
x |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0.12890625 | (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) | |
| accuracy | 59.77813325382774 | #s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)) | |
| accuracy | 0.0 | (fma.f64 y y (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 29.169986181976576 | (sqrt.f64 (fma.f64 y y (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.4618369660133941 | #s(approx (+ (* x x) (* y y)) (*.f64 y y)) | |
| accuracy | 29.169986181976576 | (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 62.765247738381625 | #s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) | |
| accuracy | 0.0 | (hypot.f64 y x) |
| 35.0ms | 256× | 0 | valid |
Compiled 186 to 36 computations (80.6% saved)
ival-hypot: 8.0ms (35.8% of total)ival-add: 6.0ms (26.8% of total)ival-mult: 6.0ms (26.8% of total)ival-div: 2.0ms (8.9% of total)ival-neg: 1.0ms (4.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(hypot.f64 y x) |
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
(neg.f64 x) |
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(sqrt.f64 (fma.f64 y y (*.f64 x x))) |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 y x) |
| Outputs |
|---|
y |
(+ y (* 1/2 (/ (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(* -1 x) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (pow x 2)) x) |
(/ y x) |
x |
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
(* -1 (* x (- (* -1/2 (/ (pow y 2) (pow x 2))) 1))) |
(+ x (* 1/2 (/ (pow y 2) x))) |
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(* 1/2 y) |
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (/ x (pow y 2)))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | x | @ | inf | ((sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y))) (neg x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y))) (+ (* (* 1/2 y) (/ y x)) x) (* 1/2 y) (/ y x)) |
| 2.0ms | y | @ | inf | ((sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y))) (neg x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y))) (+ (* (* 1/2 y) (/ y x)) x) (* 1/2 y) (/ y x)) |
| 2.0ms | y | @ | -inf | ((sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y))) (neg x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y))) (+ (* (* 1/2 y) (/ y x)) x) (* 1/2 y) (/ y x)) |
| 2.0ms | x | @ | 0 | ((sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y))) (neg x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y))) (+ (* (* 1/2 y) (/ y x)) x) (* 1/2 y) (/ y x)) |
| 1.0ms | x | @ | -inf | ((sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y))) (neg x) (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (+ (* y y) (* x x)) (* x x) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* x x) (* y y))) (+ (* (* 1/2 y) (/ y x)) x) (* 1/2 y) (/ y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 479 |
| 1 | 326 | 479 |
| 2 | 1025 | 477 |
| 3 | 3967 | 435 |
| 4 | 7531 | 435 |
| 0 | 8293 | 397 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ y (* 1/2 (/ (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(* -1 x) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (pow x 2)) x) |
(/ y x) |
x |
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
(* -1 (* x (- (* -1/2 (/ (pow y 2) (pow x 2))) 1))) |
(+ x (* 1/2 (/ (pow y 2) x))) |
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(* 1/2 y) |
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (/ x (pow y 2)))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
| Outputs |
|---|
y |
(+ y (* 1/2 (/ (pow x 2) y))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y) |
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) |
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) (/.f64 x (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
(* -1 x) |
(neg.f64 x) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 x x (*.f64 y y)) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 (pow y 2)) (pow x 2)) x) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 x x)) x) |
(/ y x) |
(/.f64 y x) |
x |
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x)) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) x (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(fma.f64 x x (*.f64 y y)) |
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x)) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
(neg.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) x (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) |
(* -1 (* x (- (* -1/2 (/ (pow y 2) (pow x 2))) 1))) |
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x) |
(+ x (* 1/2 (/ (pow y 2) x))) |
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x) |
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) y) y (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) y) (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) y (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(fma.f64 x x (*.f64 y y)) |
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (/ x (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
(neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) y (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 85 |
| 0 | 30 | 73 |
| 1 | 87 | 73 |
| 2 | 562 | 73 |
| 3 | 6972 | 73 |
| 0 | 8512 | 73 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(hypot.f64 y x) |
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
(neg.f64 x) |
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(sqrt.f64 (fma.f64 y y (*.f64 x x))) |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 y x) |
| Outputs |
|---|
(*.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 x x (*.f64 y y)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))) |
(sqrt.f64 (fma.f64 x x (*.f64 y y))) |
(hypot.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 y)) x) |
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y))) |
(hypot.f64 (exp.f64 (log.f64 x)) y) |
(hypot.f64 x (exp.f64 (log.f64 y))) |
(hypot.f64 x y) |
(hypot.f64 y (exp.f64 (log.f64 x))) |
(hypot.f64 y x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (*.f64 y y))) #s(literal 1/2 binary64))) |
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) x) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) |
(neg.f64 x) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
(*.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) #s(literal 1/2 binary64))) |
#s(approx (+ (* x x) (* y y)) (*.f64 y y)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
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(fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 1/4 binary64)) y) (/.f64 (/.f64 y x) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 1/4 binary64)) (/.f64 (*.f64 (/.f64 y x) y) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) |
(fma.f64 (/.f64 (neg.f64 y) x) (/.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x) x) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (pow.f64 x #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)) |
(fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) |
(fma.f64 (neg.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (neg.f64 x)) x) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) |
(fma.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 1/4 binary64)) y) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) |
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) y) x) |
(fma.f64 (*.f64 y y) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)) |
(fma.f64 y (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y)))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y))))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) |
(+.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y) x) |
(+.f64 x (*.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x)) x) |
(*.f64 (/.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) y) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 y (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 y #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64))) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (/.f64 y #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x))) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
Compiled 9 401 to 1 209 computations (87.1% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 354 | 2 | 356 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 355 | 8 | 363 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 y x) |
| ▶ | 54.1% | (*.f64 (sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (sqrt.f64 (+.f64 y x))) |
| ✓ | 54.4% | (sqrt.f64 (fma.f64 y y (*.f64 x x))) |
| ✓ | 53.7% | (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
| ▶ | 94.1% | #s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
| ✓ | 6.6% | #s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)) |
| ▶ | 3.4% | #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))))) |
| ✓ | 1.9% | #s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
Compiled 121 to 76 computations (37.2% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y y (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (sqrt.f64 (+.f64 y x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) | |
| cost-diff | 0 | (fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))))) | |
| cost-diff | 320 | (*.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) | |
| cost-diff | 3968 | (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 233 |
| 0 | 58 | 211 |
| 1 | 94 | 211 |
| 2 | 167 | 209 |
| 3 | 498 | 205 |
| 4 | 2110 | 171 |
| 5 | 7800 | 171 |
| 0 | 8133 | 163 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))))) |
(*.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) |
(fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 y x) |
y |
x |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) |
(*.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)) |
#s(literal -1 binary64) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 y x) y) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 x x) |
x |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (sqrt.f64 (+.f64 y x))) |
(sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) |
(/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
(+.f64 y x) |
(sqrt.f64 (+.f64 y x)) |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))))) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)) |
(*.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) |
(fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) |
(/.f64 y x) |
y |
x |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y (neg.f64 x)) |
(*.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x)) |
#s(literal -1 binary64) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x) |
(fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 y x) y) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y) y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y) y) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 x x) |
x |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (sqrt.f64 (+.f64 y x))) |
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))) |
(sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) |
(/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) |
(fma.f64 y y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
(+.f64 y x) |
(sqrt.f64 (+.f64 y x)) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 (+.f64 y x)) | |
| accuracy | 0.0078125 | (sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) | |
| accuracy | 0.4921875 | (*.f64 (sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (sqrt.f64 (+.f64 y x))) | |
| accuracy | 29.228581671587648 | (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.4057753400947413 | #s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) | |
| accuracy | 3.5256701195773386 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y) | |
| accuracy | 0.13671875 | (*.f64 (/.f64 y x) y) | |
| accuracy | 0.9816575537579068 | (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)) | |
| accuracy | 30.90657462399739 | (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))) | |
| accuracy | 59.77813325382774 | #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))))) |
| 65.0ms | 256× | 0 | valid |
Compiled 445 to 67 computations (84.9% saved)
ival-mult: 16.0ms (38.6% of total)ival-hypot: 8.0ms (19.3% of total)ival-div: 6.0ms (14.5% of total)ival-add: 6.0ms (14.5% of total)ival-sqrt: 3.0ms (7.2% of total)ival-neg: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))) |
(*.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))))) |
(fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y) |
(/.f64 #s(literal 1/2 binary64) y) |
(*.f64 x x) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (sqrt.f64 (+.f64 y x))) |
(sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) |
(/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) |
(fma.f64 y y (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)) |
(*.f64 (/.f64 y x) y) |
(sqrt.f64 (+.f64 y x)) |
| Outputs |
|---|
1 |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* -1 (* (pow x 2) (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1))) (* 1/2 (pow y 2))) x) |
(/ (+ (* 1/2 (pow y 2)) (* (pow x 2) (+ (* -1 (* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* -2 (/ (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1) (pow y 2)))))) (* -1 (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1))))) x) |
(/ (+ (* 1/2 (pow y 2)) (* (pow x 2) (+ (* -1 (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1)) (* (pow x 2) (+ (* -2 (/ (* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* -2 (/ (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1) (pow y 2))))) (pow y 2))) (* -1 (- (* 2 (/ 1 (pow y 2))) (* -2 (/ (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1) (pow y 2)))))))))) x) |
y |
(+ y (* 1/2 (/ (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(/ (+ (* 1/2 (pow y 2)) (pow x 2)) x) |
(pow x 2) |
(sqrt y) |
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* 7/8 (* x (sqrt (/ 1 (pow y 3)))))))) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -9/16 (* x (sqrt (/ 1 (pow y 5))))) (* 7/8 (sqrt (/ 1 (pow y 3))))))))) |
(+ y (* -1 x)) |
(+ y (* x (- (* 2 (/ x y)) 1))) |
(+ y (* x (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* 2 (/ x (pow y 2))) |
(* x (+ (* 4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) |
(* x (+ (* (pow x 2) (+ (* 8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 16 (/ (pow x 2) (pow y 8))) (* 8 (/ 1 (pow y 6))))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) |
(/ (pow y 2) x) |
(+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y))))) |
(+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y)))))) |
(+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5)))))))))) |
x |
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ y (pow x 2)))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (- (pow y 2) (* -1 (pow y 2)))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/4 (* x (pow y 2))) (* y (- (pow y 2) (* -1 (pow y 2))))))) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (- (pow y 2) (* -1 (pow y 2))))))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(* x (- (+ 1 (+ (* -1 (/ (* y (- (pow y 2) (* -1 (pow y 2)))) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(/ -1 x) |
(/ (- (* -1/2 (/ (pow y 2) (pow x 2))) 1) x) |
(/ (- (* -1/4 (/ (pow y 4) (pow x 4))) (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) x) |
(/ (- (* -1/8 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* 1/4 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* -1/2 (pow y 2))) (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* -1/2 (pow y 2))) (pow x 2))) (* -1 (/ (- (* -1/4 (pow y 4)) (* -1/2 (* (pow y 2) (- (* -1 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* -1/2 (pow y 2)))))) (pow x 4)))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* -1/2 (pow y 2))) (pow x 2))) (+ (* -1 (/ (- (* -1/4 (pow y 4)) (* -1/2 (* (pow y 2) (- (* -1 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* -1/2 (pow y 2)))))) (pow x 4))) (* -1/2 (/ (* (pow y 2) (- (* -1/4 (pow y 4)) (* -1/2 (* (pow y 2) (- (* -1 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* -1/2 (pow y 2))))))) (pow x 6))))) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
(* -1 (* x (- (* -1/2 (/ (pow y 2) (pow x 2))) 1))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (- (* -1 (pow y 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (- (* -1 (pow y 2)) (pow y 2)))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1 (* y (- (* -1 (pow y 2)) (pow y 2)))) (* -1/4 (/ (* x (pow y 2)) (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow y 2)) (pow y 2)) x)) y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (- (* -1 (pow y 2)) (pow y 2))) x)) (* -1 (pow y 2))) (pow y 2)) x)) y) x)) 1))) |
(* -1 (/ (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))) x)) |
(* -1 (/ (- (+ 1 (* 1/4 (/ (pow y 4) (pow x 4)))) (* -1/2 (/ (pow y 2) (pow x 2)))) x)) |
(* -1 (/ (- (+ 1 (* 1/8 (/ (pow y 6) (pow x 6)))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* -1/4 (/ (pow y 4) (pow x 4))))) x)) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ x (* 1/2 (/ (pow y 2) x))) |
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) y) |
(/ 1/2 y) |
(+ (sqrt x) (* -1/2 (* (sqrt (/ 1 x)) y))) |
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* 7/8 (* (sqrt (/ 1 (pow x 3))) y))))) |
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* y (+ (* -9/16 (* (sqrt (/ 1 (pow x 5))) y)) (* 7/8 (sqrt (/ 1 (pow x 3))))))))) |
(+ x (* -1 y)) |
(+ x (* y (- (* 2 (/ y x)) 1))) |
(+ x (* y (- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1))) |
(- (* -1/2 (/ (pow y 2) (pow x 3))) (/ 1 x)) |
(- (* (pow y 2) (- (* -1/4 (/ (pow y 2) (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)) |
(- (* (pow y 2) (- (* (pow y 2) (- (* -1/8 (/ (pow y 2) (pow x 7))) (* 1/4 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)) |
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y))) |
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x)))))) |
(+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y))))))) |
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (/ x (pow y 2)))) |
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 (pow y 5))) (- (pow x 2) (* -1 (pow x 2)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* 1/4 (* (pow x 2) y)) (* x (- (pow x 2) (* -1 (pow x 2))))))) (* 1/2 (* (sqrt (/ 1 (pow y 5))) (- (pow x 2) (* -1 (pow x 2))))))))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(* y (- (+ 1 (+ (* -1 (/ (* x (- (pow x 2) (* -1 (pow x 2)))) (pow y 3))) (/ (pow x 2) (pow y 2)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(/ (+ (* 2 x) (* 4 (/ (pow x 3) (pow y 2)))) (pow y 2)) |
(/ (- (+ (* 2 x) (* 8 (/ (pow x 5) (pow y 4)))) (* -4 (/ (pow x 3) (pow y 2)))) (pow y 2)) |
(/ (- (+ (* 2 x) (* 16 (/ (pow x 7) (pow y 6)))) (+ (* -8 (/ (pow x 5) (pow y 4))) (* -4 (/ (pow x 3) (pow y 2))))) (pow y 2)) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (- (* -1 (pow x 2)) (pow x 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1 (/ (+ (* 1/2 (* (sqrt y) (- (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* (sqrt (/ 1 y)) (+ (* -1 (* x (- (* -1 (pow x 2)) (pow x 2)))) (* -1/4 (/ (* (pow x 2) y) (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) x) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (- (* -1 (pow x 2)) (pow x 2))) y)) (* -1 (pow x 2))) (pow x 2)) y)) x) y)) 1))) |
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 71.0ms | x | @ | -inf | ((* (+ (* (* (/ y x) 1/2) y) (neg x)) (/ -1 (+ (* -1/2 (* (/ y x) y)) x))) (* (+ (* (/ y x) (* 1/2 y)) x) (* (+ (* (* (/ y x) 1/2) y) (neg x)) (/ -1 (+ (* -1/2 (* (/ y x) y)) x)))) (sqrt (+ (* x x) (* y y))) (+ (* (/ y x) (* 1/2 y)) x) (sqrt (+ (* y y) (* x x))) (+ (* (/ 1/2 y) (* x x)) y) (/ 1/2 y) (* x x) (* (sqrt (/ (+ (* y y) (* x x)) (+ y x))) (sqrt (+ y x))) (sqrt (/ (+ (* y y) (* x x)) (+ y x))) (/ (+ (* y y) (* x x)) (+ y x)) (+ (* y y) (* x x)) (/ -1 (+ (* -1/2 (* (/ y x) y)) x)) (* (/ y x) y) (sqrt (+ y x))) |
| 5.0ms | x | @ | 0 | ((* (+ (* (* (/ y x) 1/2) y) (neg x)) (/ -1 (+ (* -1/2 (* (/ y x) y)) x))) (* (+ (* (/ y x) (* 1/2 y)) x) (* (+ (* (* (/ y x) 1/2) y) (neg x)) (/ -1 (+ (* -1/2 (* (/ y x) y)) x)))) (sqrt (+ (* x x) (* y y))) (+ (* (/ y x) (* 1/2 y)) x) (sqrt (+ (* y y) (* x x))) (+ (* (/ 1/2 y) (* x x)) y) (/ 1/2 y) (* x x) (* (sqrt (/ (+ (* y y) (* x x)) (+ y x))) (sqrt (+ y x))) (sqrt (/ (+ (* y y) (* x x)) (+ y x))) (/ (+ (* y y) (* x x)) (+ y x)) (+ (* y y) (* x x)) (/ -1 (+ (* -1/2 (* (/ y x) y)) x)) (* (/ y x) y) (sqrt (+ y x))) |
| 5.0ms | x | @ | inf | ((* (+ (* (* (/ y x) 1/2) y) (neg x)) (/ -1 (+ (* -1/2 (* (/ y x) y)) x))) (* (+ (* (/ y x) (* 1/2 y)) x) (* (+ (* (* (/ y x) 1/2) y) (neg x)) (/ -1 (+ (* -1/2 (* (/ y x) y)) x)))) (sqrt (+ (* x x) (* y y))) (+ (* (/ y x) (* 1/2 y)) x) (sqrt (+ (* y y) (* x x))) (+ (* (/ 1/2 y) (* x x)) y) (/ 1/2 y) (* x x) (* (sqrt (/ (+ (* y y) (* x x)) (+ y x))) (sqrt (+ y x))) (sqrt (/ (+ (* y y) (* x x)) (+ y x))) (/ (+ (* y y) (* x x)) (+ y x)) (+ (* y y) (* x x)) (/ -1 (+ (* -1/2 (* (/ y x) y)) x)) (* (/ y x) y) (sqrt (+ y x))) |
| 5.0ms | y | @ | inf | ((* (+ (* (* (/ y x) 1/2) y) (neg x)) (/ -1 (+ (* -1/2 (* (/ y x) y)) x))) (* (+ (* (/ y x) (* 1/2 y)) x) (* (+ (* (* (/ y x) 1/2) y) (neg x)) (/ -1 (+ (* -1/2 (* (/ y x) y)) x)))) (sqrt (+ (* x x) (* y y))) (+ (* (/ y x) (* 1/2 y)) x) (sqrt (+ (* y y) (* x x))) (+ (* (/ 1/2 y) (* x x)) y) (/ 1/2 y) (* x x) (* (sqrt (/ (+ (* y y) (* x x)) (+ y x))) (sqrt (+ y x))) (sqrt (/ (+ (* y y) (* x x)) (+ y x))) (/ (+ (* y y) (* x x)) (+ y x)) (+ (* y y) (* x x)) (/ -1 (+ (* -1/2 (* (/ y x) y)) x)) (* (/ y x) y) (sqrt (+ y x))) |
| 4.0ms | y | @ | 0 | ((* (+ (* (* (/ y x) 1/2) y) (neg x)) (/ -1 (+ (* -1/2 (* (/ y x) y)) x))) (* (+ (* (/ y x) (* 1/2 y)) x) (* (+ (* (* (/ y x) 1/2) y) (neg x)) (/ -1 (+ (* -1/2 (* (/ y x) y)) x)))) (sqrt (+ (* x x) (* y y))) (+ (* (/ y x) (* 1/2 y)) x) (sqrt (+ (* y y) (* x x))) (+ (* (/ 1/2 y) (* x x)) y) (/ 1/2 y) (* x x) (* (sqrt (/ (+ (* y y) (* x x)) (+ y x))) (sqrt (+ y x))) (sqrt (/ (+ (* y y) (* x x)) (+ y x))) (/ (+ (* y y) (* x x)) (+ y x)) (+ (* y y) (* x x)) (/ -1 (+ (* -1/2 (* (/ y x) y)) x)) (* (/ y x) y) (sqrt (+ y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 606 | 2803 |
| 1 | 1929 | 2570 |
| 2 | 6498 | 2452 |
| 0 | 8418 | 2281 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* -1 (* (pow x 2) (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1))) (* 1/2 (pow y 2))) x) |
(/ (+ (* 1/2 (pow y 2)) (* (pow x 2) (+ (* -1 (* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* -2 (/ (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1) (pow y 2)))))) (* -1 (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1))))) x) |
(/ (+ (* 1/2 (pow y 2)) (* (pow x 2) (+ (* -1 (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1)) (* (pow x 2) (+ (* -2 (/ (* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* -2 (/ (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1) (pow y 2))))) (pow y 2))) (* -1 (- (* 2 (/ 1 (pow y 2))) (* -2 (/ (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1) (pow y 2)))))))))) x) |
y |
(+ y (* 1/2 (/ (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(/ (+ (* 1/2 (pow y 2)) (pow x 2)) x) |
(pow x 2) |
(sqrt y) |
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* 7/8 (* x (sqrt (/ 1 (pow y 3)))))))) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -9/16 (* x (sqrt (/ 1 (pow y 5))))) (* 7/8 (sqrt (/ 1 (pow y 3))))))))) |
(+ y (* -1 x)) |
(+ y (* x (- (* 2 (/ x y)) 1))) |
(+ y (* x (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1))) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(* 2 (/ x (pow y 2))) |
(* x (+ (* 4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) |
(* x (+ (* (pow x 2) (+ (* 8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 16 (/ (pow x 2) (pow y 8))) (* 8 (/ 1 (pow y 6))))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) |
(/ (pow y 2) x) |
(+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y))))) |
(+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y)))))) |
(+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5)))))))))) |
x |
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ y (pow x 2)))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (- (pow y 2) (* -1 (pow y 2)))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/4 (* x (pow y 2))) (* y (- (pow y 2) (* -1 (pow y 2))))))) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (- (pow y 2) (* -1 (pow y 2))))))))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(* x (- (+ 1 (+ (* -1 (/ (* y (- (pow y 2) (* -1 (pow y 2)))) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(/ -1 x) |
(/ (- (* -1/2 (/ (pow y 2) (pow x 2))) 1) x) |
(/ (- (* -1/4 (/ (pow y 4) (pow x 4))) (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) x) |
(/ (- (* -1/8 (/ (pow y 6) (pow x 6))) (+ 1 (+ (* 1/4 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* -1/2 (pow y 2))) (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* -1/2 (pow y 2))) (pow x 2))) (* -1 (/ (- (* -1/4 (pow y 4)) (* -1/2 (* (pow y 2) (- (* -1 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* -1/2 (pow y 2)))))) (pow x 4)))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* -1/2 (pow y 2))) (pow x 2))) (+ (* -1 (/ (- (* -1/4 (pow y 4)) (* -1/2 (* (pow y 2) (- (* -1 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* -1/2 (pow y 2)))))) (pow x 4))) (* -1/2 (/ (* (pow y 2) (- (* -1/4 (pow y 4)) (* -1/2 (* (pow y 2) (- (* -1 (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2)))) (* -1/2 (pow y 2))))))) (pow x 6))))) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
(* -1 (* x (- (* -1/2 (/ (pow y 2) (pow x 2))) 1))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (- (* -1 (pow y 2)) (pow y 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/2 (* (sqrt x) (- (* -1 (pow y 2)) (pow y 2)))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1 (* y (- (* -1 (pow y 2)) (pow y 2)))) (* -1/4 (/ (* x (pow y 2)) (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow y 2)) (pow y 2)) x)) y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (- (* -1 (pow y 2)) (pow y 2))) x)) (* -1 (pow y 2))) (pow y 2)) x)) y) x)) 1))) |
(* -1 (/ (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))) x)) |
(* -1 (/ (- (+ 1 (* 1/4 (/ (pow y 4) (pow x 4)))) (* -1/2 (/ (pow y 2) (pow x 2)))) x)) |
(* -1 (/ (- (+ 1 (* 1/8 (/ (pow y 6) (pow x 6)))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* -1/4 (/ (pow y 4) (pow x 4))))) x)) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ x (* 1/2 (/ (pow y 2) x))) |
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) y) |
(/ 1/2 y) |
(+ (sqrt x) (* -1/2 (* (sqrt (/ 1 x)) y))) |
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* 7/8 (* (sqrt (/ 1 (pow x 3))) y))))) |
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* y (+ (* -9/16 (* (sqrt (/ 1 (pow x 5))) y)) (* 7/8 (sqrt (/ 1 (pow x 3))))))))) |
(+ x (* -1 y)) |
(+ x (* y (- (* 2 (/ y x)) 1))) |
(+ x (* y (- (* y (+ (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1))) |
(- (* -1/2 (/ (pow y 2) (pow x 3))) (/ 1 x)) |
(- (* (pow y 2) (- (* -1/4 (/ (pow y 2) (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)) |
(- (* (pow y 2) (- (* (pow y 2) (- (* -1/8 (/ (pow y 2) (pow x 7))) (* 1/4 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x)) |
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y))) |
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x)))))) |
(+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y))))))) |
(* (pow y 2) (+ (* 1/2 (/ 1 x)) (/ x (pow y 2)))) |
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 (pow y 5))) (- (pow x 2) (* -1 (pow x 2)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* 1/4 (* (pow x 2) y)) (* x (- (pow x 2) (* -1 (pow x 2))))))) (* 1/2 (* (sqrt (/ 1 (pow y 5))) (- (pow x 2) (* -1 (pow x 2))))))))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(* y (- (+ 1 (+ (* -1 (/ (* x (- (pow x 2) (* -1 (pow x 2)))) (pow y 3))) (/ (pow x 2) (pow y 2)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(/ (+ (* 2 x) (* 4 (/ (pow x 3) (pow y 2)))) (pow y 2)) |
(/ (- (+ (* 2 x) (* 8 (/ (pow x 5) (pow y 4)))) (* -4 (/ (pow x 3) (pow y 2)))) (pow y 2)) |
(/ (- (+ (* 2 x) (* 16 (/ (pow x 7) (pow y 6)))) (+ (* -8 (/ (pow x 5) (pow y 4))) (* -4 (/ (pow x 3) (pow y 2))))) (pow y 2)) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))) |
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (- (* -1 (pow x 2)) (pow x 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1 (/ (+ (* 1/2 (* (sqrt y) (- (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* (sqrt (/ 1 y)) (+ (* -1 (* x (- (* -1 (pow x 2)) (pow x 2)))) (* -1/4 (/ (* (pow x 2) y) (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) x) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (- (* -1 (pow x 2)) (pow x 2))) y)) (* -1 (pow x 2))) (pow x 2)) y)) x) y)) 1))) |
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(* 1/2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)) |
(/ (+ (* -1 (* (pow x 2) (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1))) (* 1/2 (pow y 2))) x) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 x x)) x) |
(/ (+ (* 1/2 (pow y 2)) (* (pow x 2) (+ (* -1 (* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* -2 (/ (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1) (pow y 2)))))) (* -1 (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1))))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (/.f64 #s(literal -2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) x) |
(/ (+ (* 1/2 (pow y 2)) (* (pow x 2) (+ (* -1 (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1)) (* (pow x 2) (+ (* -2 (/ (* (pow x 2) (- (* 2 (/ 1 (pow y 2))) (* -2 (/ (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1) (pow y 2))))) (pow y 2))) (* -1 (- (* 2 (/ 1 (pow y 2))) (* -2 (/ (- (* -2 (/ (+ (* -1/2 (pow y 2)) (* 1/2 (pow y 2))) (pow y 2))) 1) (pow y 2)))))))))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (/.f64 #s(literal -2 binary64) (*.f64 y y))) (*.f64 x (/.f64 (/.f64 x y) y))) #s(literal -2 binary64) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (/.f64 #s(literal -2 binary64) (*.f64 y y)))) (*.f64 x x))) x) |
y |
(+ y (* 1/2 (/ (pow x 2) y))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y) |
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) |
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 5 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
(/ (+ (* 1/2 (pow y 2)) (pow x 2)) x) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 x x)) x) |
(pow x 2) |
(*.f64 x x) |
(sqrt y) |
(sqrt.f64 y) |
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* 7/8 (* x (sqrt (/ 1 (pow y 3)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 7/8 binary64) 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))) x (sqrt.f64 y)) |
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -9/16 (* x (sqrt (/ 1 (pow y 5))))) (* 7/8 (sqrt (/ 1 (pow y 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) 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 7/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y)) |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* x (- (* 2 (/ x y)) 1))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) x y) |
(+ y (* x (- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) x y) |
(pow y 2) |
(*.f64 y y) |
(+ (pow x 2) (pow y 2)) |
(fma.f64 x x (*.f64 y y)) |
(* 2 (/ x (pow y 2))) |
(*.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) |
(* x (+ (* 4 (/ (pow x 2) (pow y 4))) (* 2 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x y) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(* x (+ (* (pow x 2) (+ (* 8 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) x) x (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 16 (/ (pow x 2) (pow y 8))) (* 8 (/ 1 (pow y 6))))) (* 4 (/ 1 (pow y 4))))) (* 2 (/ 1 (pow y 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 8 binary64)))) #s(literal 16 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) |
(+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) 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))) x (sqrt.f64 y)) |
(+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) 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))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) x (sqrt.f64 y)) |
x |
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 y y) x) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64))))) x x) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ y (pow x 2)))) |
(*.f64 (*.f64 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) x) x) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)))) |
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(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 (pow y 5))) (- (pow x 2) (* -1 (pow x 2)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* 1/4 (* (pow x 2) y)) (* x (- (pow x 2) (* -1 (pow x 2))))))) (* 1/2 (* (sqrt (/ 1 (pow y 5))) (- (pow x 2) (* -1 (pow x 2))))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) y) x) y) #s(literal 1 binary64)) y) |
(* y (- (+ 1 (+ (* -1 (/ (* x (- (pow x 2) (* -1 (pow x 2)))) (pow y 3))) (/ (pow x 2) (pow y 2)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) y) x) y)) #s(literal 1 binary64)) y) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(/ (+ (* 2 x) (* 4 (/ (pow x 3) (pow y 2)))) (pow y 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal 2 binary64) x)) (*.f64 y y)) |
(/ (- (+ (* 2 x) (* 8 (/ (pow x 5) (pow y 4)))) (* -4 (/ (pow x 3) (pow y 2)))) (pow y 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 8 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 y y)) |
(/ (- (+ (* 2 x) (* 16 (/ (pow x 7) (pow y 6)))) (+ (* -8 (/ (pow x 5) (pow y 4))) (* -4 (/ (pow x 3) (pow y 2))))) (pow y 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 16 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 8 binary64) (*.f64 #s(literal 2 binary64) x)))) (*.f64 y y)) |
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) 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 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) 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 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) 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) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64)))) y y)) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(* -1 (* (sqrt y) (pow (sqrt -1) 2))) |
(sqrt.f64 y) |
(* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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))))) |
(* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (- (* -1 (pow x 2)) (pow x 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) |
(* -1 (* y (+ (* -1 (/ (+ (* 1/2 (* (sqrt y) (- (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* (sqrt (/ 1 y)) (+ (* -1 (* x (- (* -1 (pow x 2)) (pow x 2)))) (* -1/4 (/ (* (pow x 2) y) (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) #s(literal -1 binary64)) #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (sqrt.f64 y))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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)))))) |
(* -1 (* y (- (/ x y) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) x) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) y) x) y))) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (- (* -1 (pow x 2)) (pow x 2))) y)) (* -1 (pow x 2))) (pow x 2)) y)) x) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) y) x (*.f64 #s(literal -2 binary64) (*.f64 x x))) y) x) y) #s(literal 1 binary64))) |
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) 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))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))) |
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (/.f64 (*.f64 x x) #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 #s(literal 1/2 binary64) 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)))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 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 (*.f64 x x) #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 #s(literal 1/2 binary64) 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))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 187 |
| 0 | 58 | 185 |
| 1 | 208 | 164 |
| 2 | 1596 | 140 |
| 0 | 8440 | 125 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))) |
(*.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))))) |
(fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y) |
(/.f64 #s(literal 1/2 binary64) y) |
(*.f64 x x) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (sqrt.f64 (+.f64 y x))) |
(sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) |
(/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) |
(fma.f64 y y (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x)) |
(*.f64 (/.f64 y x) y) |
(sqrt.f64 (+.f64 y x)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y (neg.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x))) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x))) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y (neg.f64 x)) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x))) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y (neg.f64 x)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y (neg.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) y (neg.f64 x)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))) |
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(hypot.f64 x y) |
(hypot.f64 y (exp.f64 (log.f64 x))) |
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(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (+.f64 x y)) (neg.f64 (+.f64 x y))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (+.f64 x y)) |
(/.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))) (-.f64 y x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 (+.f64 x y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 x y) (-.f64 y x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 x y) (-.f64 x y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 x y)) (*.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (+.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))) (-.f64 y x)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)) (*.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (+.f64 x y)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))) |
(/.f64 (+.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y)) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x)) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (*.f64 y y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 y y)) |
(fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) x (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) y)) |
(fma.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) y (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) (*.f64 y y)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y)) |
(fma.f64 x (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (*.f64 y (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))) |
(fma.f64 x x (*.f64 y y)) |
(fma.f64 y (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (*.f64 x (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))) |
(fma.f64 y y (*.f64 x x)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(+.f64 (*.f64 x (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) (*.f64 y (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))) |
(+.f64 (*.f64 y (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) (*.f64 x (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) x) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) y)) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) y) (*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x) #s(literal -1 binary64))) |
(pow.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x)) |
(neg.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal -1/2 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 y x)) |
(*.f64 (*.f64 y (neg.f64 y)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 y x)) |
(*.f64 (neg.f64 (*.f64 y y)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(*.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 y x) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 x y))) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 x y))) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 x y)) |
(/.f64 (*.f64 y (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 x)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 x y)) |
(/.f64 (neg.f64 (*.f64 y y)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (*.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 y (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y))) |
(/.f64 (neg.f64 y) (neg.f64 (/.f64 x y))) |
(/.f64 (*.f64 y y) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y y)))) |
(/.f64 y (/.f64 x y)) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x)))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (pow.f64 (-.f64 y x) #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 3/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (+.f64 x y))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (sqrt.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (sqrt.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (-.f64 x y))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (sqrt.f64 (-.f64 y x))) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))) |
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal -1/2 binary64))) |
(sqrt.f64 (+.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64))) |
Compiled 37 437 to 3 962 computations (89.4% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 927 | 3 | 930 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 1 | 4 | 5 |
| Total | 930 | 8 | 938 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 y x) |
| ✓ | 54.1% | (*.f64 (sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (sqrt.f64 (+.f64 y x))) |
| ✓ | 54.4% | (sqrt.f64 (fma.f64 y y (*.f64 x x))) |
| ✓ | 53.7% | (sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
| ▶ | 99.4% | #s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)) |
| ▶ | 4.0% | #s(approx (sqrt (+ (* y y) (* x x))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))) |
| ▶ | 99.3% | #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) |
| ✓ | 1.9% | #s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
Compiled 113 to 74 computations (34.5% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* y y) (* x x))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 x (/.f64 (/.f64 x y) y)) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) | |
| cost-diff | 1024 | (*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 159 |
| 0 | 41 | 165 |
| 1 | 66 | 165 |
| 2 | 98 | 165 |
| 3 | 143 | 165 |
| 4 | 412 | 149 |
| 5 | 858 | 149 |
| 6 | 1283 | 149 |
| 7 | 2112 | 149 |
| 8 | 2564 | 149 |
| 9 | 2718 | 149 |
| 10 | 2780 | 149 |
| 11 | 2793 | 149 |
| 12 | 2806 | 149 |
| 13 | 3486 | 149 |
| 14 | 4280 | 149 |
| 15 | 4370 | 149 |
| 16 | 4443 | 149 |
| 17 | 4540 | 149 |
| 18 | 4713 | 149 |
| 19 | 4914 | 149 |
| 20 | 5414 | 149 |
| 21 | 5969 | 149 |
| 22 | 6868 | 149 |
| 23 | 7740 | 149 |
| 0 | 8133 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x (/.f64 (/.f64 x y) y)) |
x |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y) y)) |
(*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y) y) |
(fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1 binary64)) |
(*.f64 x (/.f64 (/.f64 x y) y)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
x |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))) |
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y)) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x x) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y) y)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y) | |
| accuracy | 0.0 | (/.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0.26171875 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| accuracy | 0.4057753400947413 | #s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)) | |
| accuracy | 0.01171875 | (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) | |
| accuracy | 0.4057753400947413 | #s(approx (sqrt (+ (* y y) (* x x))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))) | |
| accuracy | 9.068783046521851 | (/.f64 (*.f64 x x) y) | |
| accuracy | 61.46516231205392 | #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) | |
| accuracy | 0.015625 | (*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) | |
| accuracy | 0.15234375 | (/.f64 (/.f64 x y) y) | |
| accuracy | 0.4057753400947413 | #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) | |
| accuracy | 3.9312099048835876 | (*.f64 x (/.f64 (/.f64 x y) y)) |
| 56.0ms | 256× | 0 | valid |
Compiled 275 to 52 computations (81.1% saved)
ival-mult: 13.0ms (36.6% of total)ival-div: 10.0ms (28.1% of total)ival-hypot: 9.0ms (25.3% of total)ival-add: 3.0ms (8.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) |
(fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x (/.f64 (/.f64 x y) y)) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 x x) y) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 (/.f64 x y) y) |
| Outputs |
|---|
y |
(+ y (* 1/2 (/ (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
1 |
(+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))) |
(/ (pow x 2) (pow y 2)) |
(* 1/2 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(* 1/2 (/ x y)) |
(/ x (pow y 2)) |
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ y (pow x 2)))) |
x |
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow y 2))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) y) |
(+ x (* 1/2 (/ (pow y 2) x))) |
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ 1/2 y) |
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | -inf | ((* (+ (* (* x (/ (/ x y) y)) 1/2) 1) y) (sqrt (+ (* x x) (* y y))) (+ (* (* x (/ (/ x y) y)) 1/2) 1) (* x (/ (/ x y) y)) (sqrt (+ (* y y) (* x x))) (+ (* (/ 1/2 y) (* x x)) y) (* (/ (* x x) y) 1/2) (/ (* x x) y) (sqrt (+ (* y y) (* x x))) (+ (* (* (/ 1/2 y) x) x) y) (* (/ 1/2 y) x) (/ 1/2 y) (/ (/ x y) y)) |
| 3.0ms | x | @ | inf | ((* (+ (* (* x (/ (/ x y) y)) 1/2) 1) y) (sqrt (+ (* x x) (* y y))) (+ (* (* x (/ (/ x y) y)) 1/2) 1) (* x (/ (/ x y) y)) (sqrt (+ (* y y) (* x x))) (+ (* (/ 1/2 y) (* x x)) y) (* (/ (* x x) y) 1/2) (/ (* x x) y) (sqrt (+ (* y y) (* x x))) (+ (* (* (/ 1/2 y) x) x) y) (* (/ 1/2 y) x) (/ 1/2 y) (/ (/ x y) y)) |
| 2.0ms | x | @ | 0 | ((* (+ (* (* x (/ (/ x y) y)) 1/2) 1) y) (sqrt (+ (* x x) (* y y))) (+ (* (* x (/ (/ x y) y)) 1/2) 1) (* x (/ (/ x y) y)) (sqrt (+ (* y y) (* x x))) (+ (* (/ 1/2 y) (* x x)) y) (* (/ (* x x) y) 1/2) (/ (* x x) y) (sqrt (+ (* y y) (* x x))) (+ (* (* (/ 1/2 y) x) x) y) (* (/ 1/2 y) x) (/ 1/2 y) (/ (/ x y) y)) |
| 2.0ms | y | @ | -inf | ((* (+ (* (* x (/ (/ x y) y)) 1/2) 1) y) (sqrt (+ (* x x) (* y y))) (+ (* (* x (/ (/ x y) y)) 1/2) 1) (* x (/ (/ x y) y)) (sqrt (+ (* y y) (* x x))) (+ (* (/ 1/2 y) (* x x)) y) (* (/ (* x x) y) 1/2) (/ (* x x) y) (sqrt (+ (* y y) (* x x))) (+ (* (* (/ 1/2 y) x) x) y) (* (/ 1/2 y) x) (/ 1/2 y) (/ (/ x y) y)) |
| 2.0ms | y | @ | 0 | ((* (+ (* (* x (/ (/ x y) y)) 1/2) 1) y) (sqrt (+ (* x x) (* y y))) (+ (* (* x (/ (/ x y) y)) 1/2) 1) (* x (/ (/ x y) y)) (sqrt (+ (* y y) (* x x))) (+ (* (/ 1/2 y) (* x x)) y) (* (/ (* x x) y) 1/2) (/ (* x x) y) (sqrt (+ (* y y) (* x x))) (+ (* (* (/ 1/2 y) x) x) y) (* (/ 1/2 y) x) (/ 1/2 y) (/ (/ x y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 508 |
| 1 | 323 | 508 |
| 2 | 1026 | 506 |
| 3 | 3829 | 472 |
| 4 | 7539 | 472 |
| 0 | 8404 | 434 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ y (* 1/2 (/ (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
1 |
(+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))) |
(/ (pow x 2) (pow y 2)) |
(* 1/2 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(* 1/2 (/ x y)) |
(/ x (pow y 2)) |
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ y (pow x 2)))) |
x |
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow y 2))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) y) |
(+ x (* 1/2 (/ (pow y 2) x))) |
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))) |
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ 1/2 y) |
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1))) |
(* -1 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
| Outputs |
|---|
y |
(+ y (* 1/2 (/ (pow x 2) y))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y) |
(+ y (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) |
(+ y (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) (/.f64 x (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/ (pow x 2) (pow y 2)) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
(* 1/2 (/ (pow x 2) y)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(* (pow x 2) (+ (* 1/2 (/ 1 y)) (/ y (pow x 2)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y) |
x |
(* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)) |
(* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) x (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(*.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/2 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ (pow y 2) (pow x 2)))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (* 1/2 (/ (pow y 2) (pow x 2))))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x))) |
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 4) (pow x 4))) (+ (* 1/16 (/ (pow y 6) (pow x 6))) (* 1/2 (/ (pow y 2) (pow x 2)))))))) |
(neg.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) x (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) |
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) y) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 y y)) y) |
(+ x (* 1/2 (/ (pow y 2) x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x) |
(+ x (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (pow x 3))) (* 1/2 (/ 1 x))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) y) y (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) y) (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x) |
(/ (+ (* 1/2 (pow x 2)) (pow y 2)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 y y)) y) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
(* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) y (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* 1/2 (/ (pow x 2) (pow y 2)))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (* 1/2 (/ (pow x 2) (pow y 2))))))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y))) |
(* -1 (* y (+ 1 (+ (* -1/8 (/ (pow x 4) (pow y 4))) (+ (* 1/16 (/ (pow x 6) (pow y 6))) (* 1/2 (/ (pow x 2) (pow y 2)))))))) |
(neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) y (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 143 |
| 0 | 41 | 141 |
| 1 | 151 | 141 |
| 2 | 897 | 133 |
| 0 | 8165 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) |
(fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x (/.f64 (/.f64 x y) y)) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 x x) y) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 (/.f64 x y) y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) y y) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) y y) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 y (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) y) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) y) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) y) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) y) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y)) (*.f64 y y)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) y)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y))) (-.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y)) (*.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) y y)) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) y y) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) y y))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 x y) y) y) |
(fma.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) y))) x y) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) |
(fma.f64 (*.f64 y (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64) y) |
(fma.f64 (*.f64 y (/.f64 (/.f64 x y) y)) (*.f64 #s(literal 1/2 binary64) x) y) |
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) #s(literal 1 binary64) y) |
(fma.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) y)) y) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 (/.f64 x y) y) y) y) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) y)) (*.f64 y x) y) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y y) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) y) y) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y) y) |
(fma.f64 (/.f64 (/.f64 x y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) y) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) y)) y) y) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) y) |
(+.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1 binary64))) |
Compiled 14 707 to 1 943 computations (86.8% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 492 | 1 | 493 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 1 | 4 | 5 |
| Total | 494 | 7 | 501 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 y x) |
| ✓ | 54.1% | (*.f64 (sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (sqrt.f64 (+.f64 y x))) |
| ✓ | 54.4% | (sqrt.f64 (fma.f64 y y (*.f64 x x))) |
| ✓ | 99.4% | #s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)) |
| ✓ | 99.3% | #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) |
| 98.8% | #s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(approx (+ (* (* x (/ (/ x y) y)) 1/2) 1) #s(literal 1 binary64)) y)) | |
| ✓ | 1.9% | #s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
Compiled 333 to 138 computations (58.6% saved)
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(approx (+ (* (* x (/ (/ x y) y)) 1/2) 1) #s(literal 1 binary64)) y)) |
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 y y (*.f64 x x))) |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)) |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (sqrt.f64 (+.f64 y x))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))))) |
(hypot.f64 y x) |
| Outputs |
|---|
(hypot.f64 y x) |
6 calls:
| 6.0ms | x |
| 5.0ms | (*.f64 x x) |
| 4.0ms | y |
| 4.0ms | (*.f64 y y) |
| 4.0ms | (+.f64 (*.f64 x x) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 100.0% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 100.0% | 1 | (*.f64 x x) |
| 100.0% | 1 | (*.f64 y y) |
Compiled 23 to 21 computations (8.7% saved)
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(approx (+ (* (* x (/ (/ x y) y)) 1/2) 1) #s(literal 1 binary64)) y)) |
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 y y (*.f64 x x))) |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)) |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) (sqrt.f64 (+.f64 y x))) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) y) x))))) |
| Outputs |
|---|
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)) |
6 calls:
| 5.0ms | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 4.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | y |
| 99.4% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 99.4% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 99.4% | 1 | (*.f64 x x) |
| 99.4% | 1 | (*.f64 y y) |
Compiled 23 to 21 computations (8.7% saved)
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(approx (+ (* (* x (/ (/ x y) y)) 1/2) 1) #s(literal 1 binary64)) y)) |
(sqrt.f64 #s(approx (+ (* x x) (* y y)) (*.f64 y y))) |
#s(approx (sqrt (+ (* y y) (* x x))) #s(approx (+ (* (/ 1/2 y) (* x x)) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 y y (*.f64 x x))) |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y x) x)) |
#s(approx (sqrt (+ (* x x) (* y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x) y)) |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(approx (+ (* (* x (/ (/ x y) y)) 1/2) 1) #s(literal 1 binary64)) y)) |
6 calls:
| 6.0ms | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 3.0ms | x |
| 3.0ms | y |
| 2.0ms | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 2.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 1 | y |
| 98.8% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 98.8% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 98.8% | 1 | (*.f64 x x) |
| 98.8% | 1 | (*.f64 y y) |
Compiled 23 to 21 computations (8.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
6 calls:
| 2.0ms | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.9% | 1 | x |
| 1.9% | 1 | y |
| 1.9% | 1 | (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))) |
| 1.9% | 1 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 1.9% | 1 | (*.f64 x x) |
| 1.9% | 1 | (*.f64 y y) |
Compiled 23 to 21 computations (8.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 55 |
| 1 | 33 | 55 |
| 2 | 35 | 55 |
| 3 | 36 | 55 |
| 1× | saturated |
| Inputs |
|---|
(hypot.f64 y x) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(approx (+ (* (* x (/ (/ x y) y)) 1/2) 1) #s(literal 1 binary64)) y)) |
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
| Outputs |
|---|
(hypot.f64 y x) |
#s(approx (sqrt (+ (* y y) (* x x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x y)) |
#s(approx (sqrt (+ (* x x) (* y y))) (*.f64 #s(approx (+ (* (* x (/ (/ x y) y)) 1/2) 1) #s(literal 1 binary64)) y)) |
#s(approx (sqrt (+ (* x x) (* y y))) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 187 |
| 0 | 58 | 185 |
| 1 | 208 | 164 |
| 2 | 1596 | 140 |
| 0 | 8440 | 125 |
| 0 | 606 | 2803 |
| 1 | 1929 | 2570 |
| 2 | 6498 | 2452 |
| 0 | 8418 | 2281 |
| 0 | 117 | 479 |
| 1 | 326 | 479 |
| 2 | 1025 | 477 |
| 3 | 3967 | 435 |
| 4 | 7531 | 435 |
| 0 | 8293 | 397 |
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 29 | 21 |
| 2 | 196 | 21 |
| 3 | 1788 | 21 |
| 0 | 8624 | 15 |
| 0 | 104 | 429 |
| 1 | 296 | 429 |
| 2 | 953 | 427 |
| 3 | 3667 | 393 |
| 4 | 6426 | 391 |
| 0 | 8051 | 354 |
| 0 | 120 | 508 |
| 1 | 323 | 508 |
| 2 | 1026 | 506 |
| 3 | 3829 | 472 |
| 4 | 7539 | 472 |
| 0 | 8404 | 434 |
| 0 | 20 | 85 |
| 0 | 30 | 73 |
| 1 | 87 | 73 |
| 2 | 562 | 73 |
| 3 | 6972 | 73 |
| 0 | 8512 | 73 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 153 to 96 computations (37.3% saved)
(sort x y)
(abs x)
(abs y)
Compiled 182 to 110 computations (39.6% saved)
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