
Time bar (total: 5.1s)
| 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 13 to 10 computations (23.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 438.0ms (57.4% of total)ival-add: 307.0ms (40.2% of total)ival-true: 6.0ms (0.8% of total)exact: 5.0ms (0.7% of total)ival-assert: 4.0ms (0.5% of total)adjust: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 87.0ms | 512× | 0 | valid |
Compiled 75 to 28 computations (62.7% saved)
ival-mult: 10.0ms (63.6% of total)ival-add: 5.0ms (31.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 51 |
| 1 | 82 | 49 |
| 2 | 273 | 46 |
| 3 | 562 | 45 |
| 4 | 1065 | 45 |
| 5 | 1419 | 45 |
| 6 | 1863 | 45 |
| 7 | 2407 | 45 |
| 8 | 3302 | 45 |
| 9 | 4160 | 45 |
| 10 | 4778 | 45 |
| 11 | 4920 | 45 |
| 12 | 4980 | 45 |
| 13 | 5010 | 45 |
| 14 | 5010 | 45 |
| 15 | 5250 | 45 |
| 16 | 5682 | 45 |
| 17 | 5682 | 45 |
| 18 | 5682 | 45 |
| 0 | 8 | 11 |
| 0 | 13 | 9 |
| 1 | 34 | 9 |
| 2 | 108 | 9 |
| 3 | 259 | 9 |
| 4 | 418 | 9 |
| 5 | 543 | 9 |
| 6 | 677 | 9 |
| 7 | 840 | 9 |
| 8 | 1390 | 9 |
| 9 | 1668 | 9 |
| 10 | 1942 | 9 |
| 11 | 2018 | 9 |
| 12 | 2112 | 9 |
| 13 | 2130 | 9 |
| 0 | 2130 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y)) |
(abs y)
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 x x) |
(*.f64 y y) |
y |
| Outputs |
|---|
(pow y 2) |
(+ (* 2 x) (pow y 2)) |
(+ (* x (+ 2 x)) (pow y 2)) |
(* 2 x) |
(* x (+ 2 x)) |
x |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) |
(+ (* 2 x) (pow x 2)) |
(+ (* 2 x) (+ (pow x 2) (pow y 2))) |
y |
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (+ (* x 2) (* x x)) (* y y)) (+ (* x 2) (* x x)) (* x 2) x 2 (* x x) (* y y) y) |
| 1.0ms | x | @ | inf | ((+ (+ (* x 2) (* x x)) (* y y)) (+ (* x 2) (* x x)) (* x 2) x 2 (* x x) (* y y) y) |
| 1.0ms | x | @ | 0 | ((+ (+ (* x 2) (* x x)) (* y y)) (+ (* x 2) (* x x)) (* x 2) x 2 (* x x) (* y y) y) |
| 1.0ms | y | @ | inf | ((+ (+ (* x 2) (* x x)) (* y y)) (+ (* x 2) (* x x)) (* x 2) x 2 (* x x) (* y y) y) |
| 1.0ms | y | @ | -inf | ((+ (+ (* x 2) (* x x)) (* y y)) (+ (* x 2) (* x x)) (* x 2) x 2 (* x x) (* y y) y) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 106 |
| 1 | 109 | 100 |
| 2 | 389 | 96 |
| 3 | 2088 | 90 |
| 0 | 8665 | 86 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow y 2) |
(+ (* 2 x) (pow y 2)) |
(+ (* x (+ 2 x)) (pow y 2)) |
(* 2 x) |
(* x (+ 2 x)) |
x |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) |
(+ (* 2 x) (pow x 2)) |
(+ (* 2 x) (+ (pow x 2) (pow y 2))) |
y |
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) |
| Outputs |
|---|
(pow y 2) |
(*.f64 y y) |
(+ (* 2 x) (pow y 2)) |
(fma.f64 #s(literal 2 binary64) x (*.f64 y y)) |
(+ (* x (+ 2 x)) (pow y 2)) |
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 x)) |
(*.f64 (+.f64 #s(literal 2 binary64) x) x) |
x |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(*.f64 (+.f64 #s(literal 2 binary64) x) x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (/.f64 (*.f64 y y) x) x (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) |
(fma.f64 (/.f64 (*.f64 y y) x) x (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
(+ (* 2 x) (pow x 2)) |
(*.f64 (+.f64 #s(literal 2 binary64) x) x) |
(+ (* 2 x) (+ (pow x 2) (pow y 2))) |
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
y |
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 0 | 13 | 26 |
| 1 | 61 | 26 |
| 2 | 554 | 26 |
| 0 | 9427 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 x x) |
(*.f64 y y) |
y |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 y y (fma.f64 #s(literal -2 binary64) x (*.f64 x x))) (*.f64 y y)) #s(literal 2 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (fma.f64 #s(literal -2 binary64) x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 y y (fma.f64 #s(literal -2 binary64) x (*.f64 x x))) (*.f64 y y)) (-.f64 (*.f64 (fma.f64 y y (fma.f64 #s(literal -2 binary64) x (*.f64 x x))) (*.f64 y y)) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) (fma.f64 y y (fma.f64 #s(literal -2 binary64) x (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))))) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 x) x (*.f64 y y)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))))) |
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(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))) |
(fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal 2 binary64) x (*.f64 x x)) |
(fma.f64 x (/.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))) |
(fma.f64 x (neg.f64 x) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 x #s(literal 2 binary64) (*.f64 (neg.f64 x) x)) |
(fma.f64 x #s(literal 2 binary64) (*.f64 x x)) |
(fma.f64 x x (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 x x (*.f64 #s(literal 2 binary64) x)) |
(-.f64 (-.f64 (*.f64 x x) x) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))) |
(-.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) |
(-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(+.f64 (fma.f64 x x x) x) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))) |
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(+.f64 x (-.f64 x (*.f64 (neg.f64 x) x))) |
(+.f64 x (-.f64 x (*.f64 x x))) |
(+.f64 x (+.f64 x (*.f64 x x))) |
(+.f64 x (+.f64 x (*.f64 (neg.f64 x) x))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(fabs.f64 (*.f64 #s(literal -2 binary64) x)) |
(fabs.f64 (*.f64 #s(literal 2 binary64) x)) |
(+.f64 x x) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(pow.f64 (neg.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(neg.f64 (neg.f64 x)) |
(sqrt.f64 (*.f64 x x)) |
(fabs.f64 (neg.f64 x)) |
(fabs.f64 x) |
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
x |
#s(literal 2 binary64) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(pow.f64 (neg.f64 y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(pow.f64 y #s(literal 1 binary64)) |
(neg.f64 (neg.f64 y)) |
(sqrt.f64 (*.f64 y y)) |
(fabs.f64 (neg.f64 y)) |
(fabs.f64 y) |
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))) |
y |
Compiled 11 033 to 1 142 computations (89.6% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 443 | 5 | 448 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 444 | 5 | 449 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.2% | (fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) |
| ▶ | 60.0% | (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x)) |
| ▶ | 67.2% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) |
| ▶ | 58.6% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
| ▶ | 50.2% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
Compiled 136 to 94 computations (30.9% saved)
| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) |
(fma.f64 #s(literal 2 binary64) x (*.f64 y y)) |
#s(literal 2 binary64) |
x |
(*.f64 y y) |
y |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (+.f64 #s(literal 2 binary64) x) x) |
(+.f64 #s(literal 2 binary64) x) |
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (-.f64 #s(literal 2 binary64) x) x) |
(-.f64 #s(literal 2 binary64) x) |
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 x y) |
(-.f64 x y) |
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
(pow y 2) |
(+ (* 2 x) (pow y 2)) |
(+ (* x (+ 2 x)) (pow y 2)) |
x |
(* 2 x) |
(* x (+ 2 x)) |
2 |
(+ 2 x) |
(+ (* x (+ 2 (* -1 x))) (pow y 2)) |
(* x (+ 2 (* -1 x))) |
(+ 2 (* -1 x)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ 2 (+ y (* -1 y))))) |
(+ (* -1 (pow y 2)) (* x (+ 2 (+ x (+ y (* -1 y)))))) |
y |
(+ x y) |
(* -1 y) |
(- x y) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) |
(* x (+ 2 (/ (pow y 2) x))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 1)) |
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))) 1)) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* 2 (/ 1 x)) (/ y x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ 1 x)) (/ y x)))))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)) 1)) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (+ y (* -1 y))) 2) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) 2) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(+ (* 2 x) (pow x 2)) |
(+ (* 2 x) (+ (pow x 2) (pow y 2))) |
(* x (- 2 x)) |
(+ (* x (- 2 x)) (pow y 2)) |
(+ (* 2 x) (+ (* y (+ x (* -1 x))) (pow x 2))) |
(+ (* 2 x) (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))) |
(+ x (* -1 y)) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2))))) |
(* (pow y 2) (+ 1 (/ (* x (- 2 x)) (pow y 2)))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (* 2 (/ x (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* y (+ 1 (/ x y))) |
(* y (- (/ x y) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* 2 x) (pow x 2)) y)))) y)) 1)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | x | @ | inf | ((+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) 2 x (* y y) y (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (* y y) (* (- 2 x) x)) (* (- 2 x) x) (- 2 x) (+ (* (+ x y) (- x y)) (* 2 x)) (+ x y) (- x y) (* 2 x)) |
| 2.0ms | x | @ | -inf | ((+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) 2 x (* y y) y (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (* y y) (* (- 2 x) x)) (* (- 2 x) x) (- 2 x) (+ (* (+ x y) (- x y)) (* 2 x)) (+ x y) (- x y) (* 2 x)) |
| 2.0ms | x | @ | 0 | ((+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) 2 x (* y y) y (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (* y y) (* (- 2 x) x)) (* (- 2 x) x) (- 2 x) (+ (* (+ x y) (- x y)) (* 2 x)) (+ x y) (- x y) (* 2 x)) |
| 1.0ms | y | @ | inf | ((+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) 2 x (* y y) y (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (* y y) (* (- 2 x) x)) (* (- 2 x) x) (- 2 x) (+ (* (+ x y) (- x y)) (* 2 x)) (+ x y) (- x y) (* 2 x)) |
| 1.0ms | y | @ | -inf | ((+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) 2 x (* y y) y (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (* y y) (* (- 2 x) x)) (* (- 2 x) x) (- 2 x) (+ (* (+ x y) (- x y)) (* 2 x)) (+ x y) (- x y) (* 2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 513 |
| 1 | 511 | 460 |
| 2 | 1991 | 421 |
| 0 | 8367 | 400 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow y 2) |
(+ (* 2 x) (pow y 2)) |
(+ (* x (+ 2 x)) (pow y 2)) |
x |
(* 2 x) |
(* x (+ 2 x)) |
2 |
(+ 2 x) |
(+ (* x (+ 2 (* -1 x))) (pow y 2)) |
(* x (+ 2 (* -1 x))) |
(+ 2 (* -1 x)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* x (+ 2 (+ y (* -1 y))))) |
(+ (* -1 (pow y 2)) (* x (+ 2 (+ x (+ y (* -1 y)))))) |
y |
(+ x y) |
(* -1 y) |
(- x y) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) |
(* x (+ 2 (/ (pow y 2) x))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 1)) |
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))) 1)) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* 2 (/ 1 x)) (/ y x))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ 1 x)) (/ y x)))))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)) 1)) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (+ y (* -1 y))) 2) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) 2) x)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(+ (* 2 x) (pow x 2)) |
(+ (* 2 x) (+ (pow x 2) (pow y 2))) |
(* x (- 2 x)) |
(+ (* x (- 2 x)) (pow y 2)) |
(+ (* 2 x) (+ (* y (+ x (* -1 x))) (pow x 2))) |
(+ (* 2 x) (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))) |
(+ x (* -1 y)) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2))))) |
(* (pow y 2) (+ 1 (/ (* x (- 2 x)) (pow y 2)))) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (* 2 (/ x (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(* y (+ 1 (/ x y))) |
(* y (- (/ x y) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* 2 x) (pow x 2)) y)))) y)) 1)) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
| Outputs |
|---|
(pow y 2) |
(*.f64 y y) |
(+ (* 2 x) (pow y 2)) |
(fma.f64 y y (*.f64 #s(literal 2 binary64) x)) |
(+ (* x (+ 2 x)) (pow y 2)) |
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y)) |
x |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 x)) |
(*.f64 (-.f64 x #s(literal -2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(-.f64 x #s(literal -2 binary64)) |
(+ (* x (+ 2 (* -1 x))) (pow y 2)) |
(fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
(* x (+ 2 (* -1 x))) |
(*.f64 (-.f64 #s(literal 2 binary64) x) x) |
(+ 2 (* -1 x)) |
(-.f64 #s(literal 2 binary64) x) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* x (+ 2 (+ y (* -1 y))))) |
(fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (pow y 2)) (* x (+ 2 (+ x (+ y (* -1 y)))))) |
(fma.f64 (neg.f64 y) y (*.f64 (-.f64 x #s(literal -2 binary64)) x)) |
y |
(+ x y) |
(+.f64 y x) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal -2 binary64)) x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) |
(*.f64 x (fma.f64 (/.f64 (fma.f64 y (/.f64 y x) #s(literal 2 binary64)) x) x x)) |
(* x (+ 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 y (/.f64 y x) #s(literal 2 binary64)) x) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(-.f64 x #s(literal -2 binary64)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* 2 (/ 1 x)) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))) 1)) |
(*.f64 (-.f64 (/.f64 (fma.f64 y (/.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (*.f64 x x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* 2 (/ 1 x)) (/ y x))))) |
(*.f64 (-.f64 x #s(literal -2 binary64)) x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* 2 (/ 1 x)) (/ y x)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) #s(literal -2 binary64)) x)) x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) |
(*.f64 x (fma.f64 (/.f64 (fma.f64 y (/.f64 y x) #s(literal 2 binary64)) x) x x)) |
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2))) |
(*.f64 (-.f64 (*.f64 y (/.f64 (neg.f64 y) x)) #s(literal 2 binary64)) (neg.f64 x)) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)) 1)) |
(*.f64 (-.f64 (/.f64 (fma.f64 y (/.f64 y x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (*.f64 x x)) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal 2 binary64) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (+ y (* -1 y))) 2) x)))) |
(*.f64 (-.f64 x #s(literal -2 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) 2) x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) #s(literal -2 binary64)) x)) x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 x)) |
(+ (* 2 x) (pow x 2)) |
(*.f64 (-.f64 x #s(literal -2 binary64)) x) |
(+ (* 2 x) (+ (pow x 2) (pow y 2))) |
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y)) |
(* x (- 2 x)) |
(*.f64 (-.f64 #s(literal 2 binary64) x) x) |
(+ (* x (- 2 x)) (pow y 2)) |
(fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
(+ (* 2 x) (+ (* y (+ x (* -1 x))) (pow x 2))) |
(*.f64 (-.f64 x #s(literal -2 binary64)) x) |
(+ (* 2 x) (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))) |
(fma.f64 (neg.f64 y) y (*.f64 (-.f64 x #s(literal -2 binary64)) x)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (/ (* x (- 2 x)) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (* 2 (/ x (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* 2 x) (pow x 2)) y)))) y)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 105 |
| 0 | 34 | 99 |
| 1 | 167 | 98 |
| 2 | 1366 | 98 |
| 0 | 8458 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) |
(fma.f64 #s(literal 2 binary64) x (*.f64 y y)) |
#s(literal 2 binary64) |
x |
(*.f64 y y) |
y |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (+.f64 #s(literal 2 binary64) x) x) |
(+.f64 #s(literal 2 binary64) x) |
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (-.f64 #s(literal 2 binary64) x) x) |
(-.f64 #s(literal 2 binary64) x) |
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 x y) |
(-.f64 x y) |
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (fma.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (*.f64 (neg.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 y y x) (fma.f64 y y x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 y y x) x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 y)) y) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 y)) y) (*.f64 (neg.f64 (neg.f64 y)) y)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) y))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 x (*.f64 (neg.f64 y) y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (-.f64 x (*.f64 (neg.f64 y) y)) (-.f64 x (*.f64 (neg.f64 y) y))) (*.f64 x (-.f64 x (*.f64 (neg.f64 y) y)))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 x (*.f64 y y)) (+.f64 x (*.f64 y y))) (*.f64 x (+.f64 x (*.f64 y y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y))) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y))) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (-.f64 x (*.f64 (neg.f64 y) y))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (+.f64 x (*.f64 y y))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (-.f64 x (*.f64 (neg.f64 y) y))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (+.f64 x (*.f64 y y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 (neg.f64 y) y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (*.f64 y y))) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 y y (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 (neg.f64 y)) y)) |
(fma.f64 #s(literal 2 binary64) x (*.f64 y y)) |
(fma.f64 x #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(fma.f64 x #s(literal 2 binary64) (*.f64 y y)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) y))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) y)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)))) |
(-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) y)) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(-.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y))))) |
(+.f64 (fma.f64 y y x) x) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y))))) |
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(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 x (-.f64 x (*.f64 (neg.f64 y) y))) |
(+.f64 x (+.f64 x (*.f64 y y))) |
#s(literal 2 binary64) |
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(pow.f64 (neg.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 x x)) |
(fabs.f64 (neg.f64 (neg.f64 x))) |
(fabs.f64 (neg.f64 x)) |
(fabs.f64 x) |
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
x |
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y)))) |
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(pow.f64 (neg.f64 y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(pow.f64 y #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 y y)) |
(fabs.f64 (neg.f64 (neg.f64 y))) |
(fabs.f64 (neg.f64 y)) |
(fabs.f64 y) |
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))) |
y |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
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(*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
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(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x))) |
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(*.f64 (+.f64 #s(literal 2 binary64) x) x) |
(*.f64 x (-.f64 #s(literal 2 binary64) (neg.f64 x))) |
(*.f64 x (+.f64 #s(literal 2 binary64) x)) |
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x)) (neg.f64 (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 2 binary64) x))) |
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(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x) (-.f64 #s(literal 2 binary64) x)) |
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(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x)) |
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(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (neg.f64 (neg.f64 x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (neg.f64 (neg.f64 x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (neg.f64 (neg.f64 x)) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (neg.f64 (neg.f64 x)) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (-.f64 x y)) (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (-.f64 x y)) (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (+.f64 y x)) (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (+.f64 y x)) (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (neg.f64 x) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (neg.f64 x) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (neg.f64 x) (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (neg.f64 x) (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (neg.f64 x) (/.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x))) |
(fma.f64 (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (neg.f64 x) (/.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 x (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x))) |
(fma.f64 (/.f64 x (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 x (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x))) |
(fma.f64 (/.f64 x (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 x (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x))) |
(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 x (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 x (/.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x))) |
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 x (/.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) |
(-.f64 x y) |
(+.f64 (/.f64 (*.f64 y (-.f64 x y)) (+.f64 y x)) (/.f64 (*.f64 x (-.f64 x y)) (+.f64 y x))) |
(+.f64 (/.f64 (*.f64 x (-.f64 x y)) (+.f64 y x)) (/.f64 (*.f64 y (-.f64 x y)) (+.f64 y x))) |
(+.f64 (/.f64 (*.f64 (-.f64 x y) y) (+.f64 y x)) (/.f64 (*.f64 (-.f64 x y) x) (+.f64 y x))) |
(+.f64 (/.f64 (*.f64 (-.f64 x y) x) (+.f64 y x)) (/.f64 (*.f64 (-.f64 x y) y) (+.f64 y x))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (+.f64 y x))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (fabs.f64 (-.f64 x x))) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))) |
(fabs.f64 (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(+.f64 x x) |
Compiled 27 300 to 2 842 computations (89.6% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 954 | 4 | 958 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 957 | 6 | 963 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.6% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x))) |
| ▶ | 67.2% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) |
| ✓ | 58.6% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
| ▶ | 19.8% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) |
| ✓ | 50.2% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
| ▶ | 41.2% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
Compiled 102 to 68 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) |
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) |
#s(approx (+ 2 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) |
(+.f64 (fma.f64 y y x) x) |
(fma.f64 y y x) |
y |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x))) |
(fma.f64 x x (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
(pow y 2) |
(+ (* 2 x) (pow y 2)) |
(+ (* x (+ 2 x)) (pow y 2)) |
(pow x 2) |
x |
(* 2 x) |
(* x (+ 2 x)) |
2 |
(+ 2 x) |
(+ x (pow y 2)) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 2 (/ (pow y 2) x))) |
(* x (+ 1 (/ (pow y 2) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2))) |
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 1))) |
(+ (* 2 x) (pow x 2)) |
(+ (* 2 x) (+ (pow x 2) (pow y 2))) |
y |
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2))))) |
(* (pow y 2) (+ 1 (/ x (pow y 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | x | @ | 0 | ((+ (+ (* x 2) (* x x)) (* y y)) (* x x) x (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) 2 (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) y (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) (* 2 x)) (* 2 x)) |
| 1.0ms | x | @ | -inf | ((+ (+ (* x 2) (* x x)) (* y y)) (* x x) x (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) 2 (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) y (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) (* 2 x)) (* 2 x)) |
| 1.0ms | x | @ | inf | ((+ (+ (* x 2) (* x x)) (* y y)) (* x x) x (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) 2 (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) y (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) (* 2 x)) (* 2 x)) |
| 1.0ms | y | @ | inf | ((+ (+ (* x 2) (* x x)) (* y y)) (* x x) x (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) 2 (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) y (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) (* 2 x)) (* 2 x)) |
| 1.0ms | y | @ | -inf | ((+ (+ (* x 2) (* x x)) (* y y)) (* x x) x (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) 2 (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) y (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) (* 2 x)) (* 2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 176 |
| 1 | 165 | 170 |
| 2 | 550 | 166 |
| 3 | 2826 | 162 |
| 0 | 8399 | 153 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow y 2) |
(+ (* 2 x) (pow y 2)) |
(+ (* x (+ 2 x)) (pow y 2)) |
(pow x 2) |
x |
(* 2 x) |
(* x (+ 2 x)) |
2 |
(+ 2 x) |
(+ x (pow y 2)) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 2 (/ (pow y 2) x))) |
(* x (+ 1 (/ (pow y 2) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2))) |
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 1))) |
(+ (* 2 x) (pow x 2)) |
(+ (* 2 x) (+ (pow x 2) (pow y 2))) |
y |
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2))))) |
(* (pow y 2) (+ 1 (/ x (pow y 2)))) |
| Outputs |
|---|
(pow y 2) |
(*.f64 y y) |
(+ (* 2 x) (pow y 2)) |
(fma.f64 y y (*.f64 #s(literal 2 binary64) x)) |
(+ (* x (+ 2 x)) (pow y 2)) |
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y)) |
(pow x 2) |
(*.f64 x x) |
x |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 x)) |
(*.f64 (-.f64 x #s(literal -2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(-.f64 x #s(literal -2 binary64)) |
(+ x (pow y 2)) |
(fma.f64 y y x) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal -2 binary64)) x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x) |
(* x (+ 1 (* 2 (/ 1 x)))) |
(-.f64 x #s(literal -2 binary64)) |
(* x (+ 2 (/ (pow y 2) x))) |
(fma.f64 y y (*.f64 #s(literal 2 binary64) x)) |
(* x (+ 1 (/ (pow y 2) x))) |
(fma.f64 y y x) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x) |
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 y) x) y) #s(literal 2 binary64))) |
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 y) x) y) #s(literal 1 binary64))) |
(+ (* 2 x) (pow x 2)) |
(*.f64 (-.f64 x #s(literal -2 binary64)) x) |
(+ (* 2 x) (+ (pow x 2) (pow y 2))) |
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y)) |
y |
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (/ x (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) y y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 107 |
| 0 | 26 | 97 |
| 1 | 131 | 97 |
| 2 | 1085 | 97 |
| 0 | 8498 | 93 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) |
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) |
#s(approx (+ 2 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) |
(+.f64 (fma.f64 y y x) x) |
(fma.f64 y y x) |
y |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x))) |
(fma.f64 x x (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(pow.f64 (neg.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 x x)) |
(fabs.f64 (neg.f64 (neg.f64 x))) |
(fabs.f64 (neg.f64 x)) |
(fabs.f64 x) |
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
x |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) |
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) |
(*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64))) |
#s(approx (+ 2 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) |
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(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 y y x)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (fma.f64 y y x)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 y y x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 y y x)) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 #s(literal 2 binary64) x)) |
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(fma.f64 y y (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) x (*.f64 y y)) |
(fma.f64 x #s(literal 2 binary64) (*.f64 y y)) |
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(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x (-.f64 x #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (-.f64 x (*.f64 (neg.f64 x) x))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (+.f64 x (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (neg.f64 x) (-.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 x (-.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(fma.f64 (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) x) (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x x) (-.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) x) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(fma.f64 (/.f64 x x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 2 binary64))))) |
(fma.f64 (/.f64 x x) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (-.f64 x (*.f64 (neg.f64 x) x))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (+.f64 x (*.f64 x x))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (-.f64 x (*.f64 (neg.f64 x) x))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (+.f64 x (*.f64 x x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 (neg.f64 x) x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (*.f64 x x))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 #s(literal 2 binary64) x (*.f64 x x)) |
(fma.f64 x #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(fma.f64 x #s(literal 2 binary64) (*.f64 x x)) |
(fma.f64 x x (*.f64 #s(literal 2 binary64) x)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64))))) |
(-.f64 (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(-.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x)) |
(+.f64 (fma.f64 x x x) x) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(+.f64 x (-.f64 x (*.f64 (neg.f64 x) x))) |
(+.f64 x (+.f64 x (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x x))) (neg.f64 (-.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x x))))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x x))) (fabs.f64 (-.f64 x x))) |
(/.f64 (fabs.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (fabs.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x x))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x x)) (-.f64 x x)) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))) |
(fabs.f64 (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x x))))) |
(+.f64 x x) |
Compiled 11 872 to 1 339 computations (88.7% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 392 | 1 | 393 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 2 | 2 |
| Total | 393 | 6 | 399 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.6% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x))) |
| ✓ | 67.2% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) |
| ✓ | 58.6% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
| ✓ | 19.8% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) |
| ✓ | 50.2% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
| ✓ | 41.2% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
Compiled 102 to 67 computations (34.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x))) |
(fma.f64 x x (+.f64 x x)) |
x |
(+.f64 x x) |
| Outputs |
|---|
(pow y 2) |
(+ (* 2 x) (pow y 2)) |
(+ (* x (+ 2 x)) (pow y 2)) |
(* 2 x) |
(* x (+ 2 x)) |
x |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) |
(+ (* 2 x) (pow x 2)) |
(+ (* 2 x) (+ (pow x 2) (pow y 2))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) (+ x x)) x (+ x x)) |
| 1.0ms | x | @ | inf | ((+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) (+ x x)) x (+ x x)) |
| 0.0ms | x | @ | 0 | ((+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) (+ x x)) x (+ x x)) |
| 0.0ms | y | @ | -inf | ((+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) (+ x x)) x (+ x x)) |
| 0.0ms | y | @ | inf | ((+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) (+ x x)) x (+ x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 105 |
| 1 | 109 | 99 |
| 2 | 389 | 95 |
| 3 | 2088 | 89 |
| 0 | 8665 | 85 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow y 2) |
(+ (* 2 x) (pow y 2)) |
(+ (* x (+ 2 x)) (pow y 2)) |
(* 2 x) |
(* x (+ 2 x)) |
x |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) |
(+ (* 2 x) (pow x 2)) |
(+ (* 2 x) (+ (pow x 2) (pow y 2))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) |
| Outputs |
|---|
(pow y 2) |
(*.f64 y y) |
(+ (* 2 x) (pow y 2)) |
(fma.f64 #s(literal 2 binary64) x (*.f64 y y)) |
(+ (* x (+ 2 x)) (pow y 2)) |
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 x)) |
(*.f64 (+.f64 #s(literal 2 binary64) x) x) |
x |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(*.f64 (+.f64 #s(literal 2 binary64) x) x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) |
(fma.f64 (/.f64 (*.f64 y y) x) x (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) |
(fma.f64 (/.f64 (*.f64 y y) x) x (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
(+ (* 2 x) (pow x 2)) |
(*.f64 (+.f64 #s(literal 2 binary64) x) x) |
(+ (* 2 x) (+ (pow x 2) (pow y 2))) |
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 0 | 13 | 24 |
| 1 | 88 | 24 |
| 2 | 943 | 19 |
| 0 | 10487 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x))) |
(fma.f64 x x (+.f64 x x)) |
x |
(+.f64 x x) |
| Outputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x)))) |
(*.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) (-.f64 #s(literal 0 binary64) (neg.f64 x))) |
(*.f64 (+.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (+.f64 (neg.f64 (neg.f64 x)) #s(literal 0 binary64)) (-.f64 (neg.f64 (neg.f64 x)) #s(literal 0 binary64))) |
(*.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64)) (-.f64 (neg.f64 x) #s(literal 0 binary64))) |
(*.f64 (+.f64 x #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64))) |
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(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(-.f64 x (*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) x)) |
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x x) x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(+.f64 (fma.f64 x x x) x) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(+.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 x x))) |
(+.f64 (*.f64 x x) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 4 binary64))) |
(+.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(+.f64 (*.f64 x x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x))) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))) |
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 x x)) |
(+.f64 x (-.f64 x (*.f64 x x))) |
(+.f64 x (fma.f64 x x x)) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(pow.f64 (neg.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 x x)) |
(fabs.f64 (neg.f64 (neg.f64 x))) |
(fabs.f64 (neg.f64 x)) |
(fabs.f64 x) |
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
x |
#s(literal 0 binary64) |
Compiled 5 322 to 673 computations (87.4% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 218 | 0 | 218 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 218 | 6 | 224 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 58.6% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x))) |
| ✓ | 67.2% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) |
| ✓ | 58.6% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
| ✓ | 19.8% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) |
| ✓ | 50.2% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
| ✓ | 41.2% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
Compiled 269 to 107 computations (60.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x))) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x))) |
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
5 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 3.0ms | (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
| 3.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (*.f64 y y) |
| 100.0% | 1 | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 100.0% | 1 | (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 23 to 21 computations (8.7% saved)
| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (+.f64 x x))) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x))) |
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
5 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 3.0ms | (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
| 3.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 2 | (*.f64 y y) |
| 92.4% | 2 | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 69.3% | 2 | (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
| 93.4% | 3 | x |
| 86.1% | 2 | y |
Compiled 23 to 21 computations (8.7% saved)
| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
| Outputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
4 calls:
| 7.0ms | y |
| 2.0ms | (*.f64 y y) |
| 2.0ms | x |
| 2.0ms | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 2 | (*.f64 y y) |
| 86.1% | 2 | y |
| 77.3% | 3 | x |
| 75.8% | 2 | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
Compiled 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) |
| Outputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
4 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | x |
| 75.4% | 2 | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 70.5% | 3 | (*.f64 y y) |
| 73.8% | 4 | y |
Compiled 12 to 13 computations (-8.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
5 calls:
| 1.0ms | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.2% | 1 | (*.f64 y y) |
| 41.2% | 1 | (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
| 41.2% | 1 | y |
| 41.2% | 1 | x |
| 41.2% | 1 | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
Compiled 23 to 21 computations (8.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 26537093033.67811 | 2353964721342061600.0 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 3.5892618809878147e-40 | 1.8531149790910184e-39 |
| 13.0ms | 96× | 0 | valid |
Compiled 206 to 157 computations (23.8% saved)
ival-add: 9.0ms (83.9% of total)ival-mult: 2.0ms (18.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 26537093033.67811 | 2353964721342061600.0 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 133 |
| 1 | 49 | 133 |
| 2 | 122 | 133 |
| 3 | 274 | 133 |
| 4 | 446 | 133 |
| 5 | 594 | 133 |
| 6 | 939 | 133 |
| 7 | 3527 | 133 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 50000000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))) |
(if (<=.f64 y #s(literal 5670233501203789/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))) |
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 50000000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 50000000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))) |
(if (<=.f64 y #s(literal 5670233501203789/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))) |
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 50000000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 105 |
| 0 | 34 | 99 |
| 1 | 167 | 98 |
| 2 | 1366 | 98 |
| 0 | 8458 | 95 |
| 0 | 36 | 106 |
| 1 | 109 | 100 |
| 2 | 389 | 96 |
| 3 | 2088 | 90 |
| 0 | 8665 | 86 |
| 0 | 151 | 513 |
| 1 | 511 | 460 |
| 2 | 1991 | 421 |
| 0 | 8367 | 400 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 147 to 29 computations (80.3% saved)
(abs y)
Compiled 382 to 122 computations (68.1% saved)
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