
Time bar (total: 5.9s)
| 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)
| 569.0ms | 8 256× | 0 | valid |
ival-mult: 205.0ms (56.5% of total)ival-add: 142.0ms (39.1% of total)ival-true: 6.0ms (1.7% of total)exact: 5.0ms (1.4% of total)adjust: 3.0ms (0.8% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 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 y y) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 x #s(literal 2 binary64)) | overflow | 1 | |
| ↳ | (*.f64 x x) | overflow | 65 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 68.0ms | 512× | 0 | valid |
Compiled 75 to 28 computations (62.7% saved)
ival-mult: 42.0ms (88.4% of total)ival-add: 4.0ms (8.4% 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 |
|---|---|---|
| ▶ | 99.6% | (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 1 | (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) | |
| cost-diff | 2 | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 0 | 13 | 26 |
| 1 | 34 | 26 |
| 2 | 108 | 26 |
| 3 | 259 | 26 |
| 4 | 418 | 26 |
| 5 | 543 | 26 |
| 6 | 677 | 26 |
| 7 | 840 | 26 |
| 8 | 1390 | 26 |
| 9 | 1668 | 26 |
| 10 | 1942 | 26 |
| 11 | 2018 | 26 |
| 12 | 2112 | 26 |
| 13 | 2130 | 26 |
| 0 | 2130 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 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 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y)) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 x #s(literal -2 binary64)) x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(*.f64 x x) |
(*.f64 y y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.21484375000000003 | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 14.0ms | 256× | 0 | valid |
Compiled 32 to 10 computations (68.8% saved)
ival-mult: 5.0ms (70.5% of total)ival-add: 2.0ms (28.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 y y) |
| Outputs |
|---|
(* 2 x) |
(* x (+ 2 x)) |
(pow y 2) |
(+ (* 2 x) (pow y 2)) |
(+ (* x (+ 2 x)) (pow y 2)) |
(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)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y)) |
| 1.0ms | x | @ | -inf | ((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y)) |
| 1.0ms | x | @ | 0 | ((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y)) |
| 1.0ms | y | @ | inf | ((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y)) |
| 0.0ms | y | @ | -inf | ((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 104 |
| 1 | 109 | 98 |
| 2 | 389 | 94 |
| 3 | 2091 | 88 |
| 0 | 8681 | 84 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 x) |
(* x (+ 2 x)) |
(pow y 2) |
(+ (* 2 x) (pow y 2)) |
(+ (* x (+ 2 x)) (pow y 2)) |
(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 |
|---|
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 x)) |
(*.f64 (+.f64 #s(literal 2 binary64) x) x) |
(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)) |
(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 | 8 | 27 |
| 0 | 13 | 23 |
| 1 | 61 | 23 |
| 2 | 554 | 23 |
| 0 | 9427 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) x (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (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 2 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (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 2 binary64) x) x) (+.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) x)) |
(*.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))) |
(*.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))) |
(*.f64 (-.f64 #s(literal 2 binary64) x) x) |
(*.f64 (+.f64 #s(literal 2 binary64) x) x) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (-.f64 #s(literal 2 binary64) x) x))) |
(*.f64 x (-.f64 x #s(literal -2 binary64))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (neg.f64 x))) |
(*.f64 x (-.f64 x #s(literal 2 binary64))) |
(*.f64 x (-.f64 #s(literal 2 binary64) x)) |
(*.f64 x (+.f64 #s(literal 2 binary64) x)) |
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) x)) x) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x) (-.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 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 (pow.f64 x #s(literal 4 binary64)) 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 #s(literal 2 binary64) x) x)) |
(/.f64 (-.f64 (*.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 (*.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 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 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))) (*.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) 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 (/.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 (pow.f64 x #s(literal 6 binary64)) (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 (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)))) #s(literal 3 binary64)) (pow.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)))) #s(literal 3 binary64))) (fma.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 (*.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 (/.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 x #s(literal 6 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 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) x)) |
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (+.f64 #s(literal 2 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (*.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) (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) x) x)) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) |
(/.f64 (fma.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 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 9 binary64))) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) |
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(-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))) |
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))) |
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 y) y))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal -2 binary64) x)) |
(-.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) x (*.f64 x x))) |
(-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (neg.f64 y) y)) |
(-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) |
(-.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x (*.f64 (neg.f64 y) y))) |
(-.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x (*.f64 y y))) |
(-.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 2 binary64) x))) |
(-.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 y y))) |
(-.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 y) y))) |
(-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x))) |
(+.f64 (+.f64 (fma.f64 y y (*.f64 x x)) x) x) |
(+.f64 (fma.f64 y y (/.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 (pow.f64 (*.f64 #s(literal 2 binary64) 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 (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 (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)) (*.f64 x x)) |
(+.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) |
(+.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 #s(literal 2 binary64) x)) |
(+.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 (*.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 (*.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 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 (/.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 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (*.f64 (neg.f64 y) y))) |
(+.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 (/.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 y y))) |
(+.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 (/.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 y y))) |
(+.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 (/.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 (neg.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 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(+.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (neg.f64 y) y)) |
(+.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) |
(+.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y))) |
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) |
(+.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(+.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x))) |
(+.f64 x (-.f64 x (fma.f64 y y (*.f64 x x)))) |
(+.f64 x (-.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(+.f64 x (+.f64 x (fma.f64 y y (*.f64 x x)))) |
(+.f64 x (+.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) |
(*.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 (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)))) |
Compiled 10 092 to 955 computations (90.5% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 378 | 4 | 382 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 379 | 4 | 383 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
| ▶ | 65.0% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) |
| ▶ | 57.3% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
| ▶ | 49.5% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
Compiled 58 to 40 computations (31% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (+.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) x (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) | |
| cost-diff | 0 | (+.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(literal 2 binary64) x) x) | |
| cost-diff | 0 | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 93 |
| 0 | 22 | 84 |
| 1 | 50 | 84 |
| 2 | 139 | 84 |
| 3 | 321 | 84 |
| 4 | 491 | 84 |
| 5 | 622 | 84 |
| 6 | 790 | 84 |
| 7 | 1284 | 84 |
| 8 | 1564 | 84 |
| 9 | 1838 | 84 |
| 10 | 1920 | 84 |
| 11 | 2014 | 84 |
| 12 | 2031 | 84 |
| 0 | 2031 | 84 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
(*.f64 y 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) |
#s(literal 2 binary64) |
x |
#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 |
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
(+.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 y y) |
y |
| Outputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
(*.f64 y y) |
y |
#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 (-.f64 x #s(literal -2 binary64)) x)) |
(*.f64 (+.f64 #s(literal 2 binary64) x) x) |
(*.f64 (-.f64 x #s(literal -2 binary64)) x) |
(+.f64 #s(literal 2 binary64) x) |
(-.f64 x #s(literal -2 binary64)) |
#s(literal 2 binary64) |
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 y y (*.f64 #s(literal 2 binary64) x))) |
(fma.f64 #s(literal 2 binary64) x (*.f64 y y)) |
(fma.f64 y y (*.f64 #s(literal 2 binary64) x)) |
#s(literal 2 binary64) |
x |
(*.f64 y y) |
y |
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y)) |
(+.f64 #s(literal 2 binary64) x) |
(-.f64 x #s(literal -2 binary64)) |
#s(literal 2 binary64) |
x |
(*.f64 y y) |
y |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) | |
| accuracy | 0.0 | (+.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (fma.f64 #s(literal 2 binary64) x (*.f64 y y)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 22.38649216389104 | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) | |
| accuracy | 0.0 | (+.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 #s(literal 2 binary64) x) x) | |
| accuracy | 27.339824052575825 | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 32.31077136478809 | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
| 25.0ms | 256× | 0 | valid |
Compiled 80 to 15 computations (81.3% saved)
ival-mult: 8.0ms (53.9% of total)ival-add: 7.0ms (47.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 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) |
#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)) |
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
| Outputs |
|---|
(pow y 2) |
(+ (* 2 x) (pow y 2)) |
(+ (* x (+ 2 x)) (pow y 2)) |
(* 2 x) |
(* x (+ 2 x)) |
2 |
(+ 2 x) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) |
x |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 2 (/ (pow y 2) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2))) |
(+ (* 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))))) |
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2))))) |
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | -inf | ((+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ 2 x) x) (* y y))) |
| 1.0ms | x | @ | -inf | ((+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ 2 x) x) (* y y))) |
| 1.0ms | y | @ | inf | ((+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ 2 x) x) (* y y))) |
| 1.0ms | x | @ | inf | ((+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ 2 x) x) (* y y))) |
| 1.0ms | y | @ | 0 | ((+ (+ (* x 2) (* x x)) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* (+ 2 x) x) (* y y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 164 |
| 1 | 153 | 152 |
| 2 | 528 | 148 |
| 3 | 2901 | 146 |
| 0 | 8586 | 137 |
| 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)) |
2 |
(+ 2 x) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) |
x |
(* x (+ 1 (* 2 (/ 1 x)))) |
(* x (+ 2 (/ (pow y 2) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) |
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2))) |
(+ (* 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))))) |
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2))))) |
(* (pow y 2) (+ 1 (/ (* x (+ 2 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)) |
(* 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)) |
(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 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x) |
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)) |
(* (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))) |
(+ (* 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)) |
(* (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 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 75 |
| 0 | 22 | 66 |
| 1 | 118 | 66 |
| 2 | 808 | 66 |
| 0 | 8636 | 66 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 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) |
#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)) |
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
| Outputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
(*.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)))) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x))) |
(*.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)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.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 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 x x)) (-.f64 (fma.f64 x x x) x)) |
(/.f64 (-.f64 (*.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 (*.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 (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 (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 (*.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 (*.f64 x x) (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x)))) (-.f64 x (+.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))) (*.f64 x (-.f64 x #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 x (-.f64 x #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 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 (/.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 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 3 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 (neg.f64 x)) (neg.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x x) x)))) |
(/.f64 (+.f64 (pow.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)))))) #s(literal 3 binary64)) (pow.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)))))) #s(literal 3 binary64))) (fma.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 (*.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 6 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 (*.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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) x) #s(literal 3 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 (neg.f64 x)) x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x))) (*.f64 x (+.f64 x (*.f64 x x)))))) |
(/.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 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x))))) |
(/.f64 (neg.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 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))))) |
(/.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 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (fma.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 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x) (-.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 x (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 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 (neg.f64 (fma.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 #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 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 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 (fma.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 #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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (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 #s(literal -2 binary64) (pow.f64 x #s(literal 3 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 x x))) |
(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 #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 (*.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 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 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(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 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 x x))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(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 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(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 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(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 (neg.f64 x))) (neg.f64 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 (neg.f64 x))) (neg.f64 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 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(fma.f64 x x (*.f64 #s(literal 2 binary64) x)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.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 (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)))))) |
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(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 (neg.f64 (neg.f64 y)) y)) |
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
(fma.f64 y y (*.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) x))) x)) |
(fma.f64 y y (*.f64 (neg.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) x))) |
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y (*.f64 x x))) |
(fma.f64 x (-.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(fma.f64 x (-.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(fma.f64 x (-.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 y y)) |
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y)) |
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y (*.f64 x x))) |
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 2 binary64) x) x))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 2 binary64) x) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 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 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (neg.f64 y) y))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (neg.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 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 (neg.f64 y) y)))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal -2 binary64) x)) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(-.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))) |
(-.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) y)) |
(-.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 y)))) |
(-.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(-.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (neg.f64 y) y)) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) (neg.f64 x)))) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) x)) x)) |
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) (+.f64 #s(literal 2 binary64) x))) |
(-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x 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 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x)))))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) y) y)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) y) y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) y) y)))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) y) y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))))) |
(+.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 (neg.f64 y) y))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 (neg.f64 y) y)))) |
(+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(+.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) |
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) x))) x)) |
(+.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) x))) |
(+.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) |
(+.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x))) |
(+.f64 x (+.f64 x (fma.f64 y y (*.f64 x x)))) |
Compiled 12 201 to 1 227 computations (89.9% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 407 | 3 | 410 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 0 | 0 |
| Total | 407 | 7 | 414 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
| ✓ | 65.0% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) |
| ▶ | 65.0% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) |
| ✓ | 57.3% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
| ▶ | 18.2% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) |
| ✓ | 49.5% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
| ▶ | 42.0% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
Compiled 110 to 74 computations (32.7% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y y x) | |
| cost-diff | 0 | (+.f64 (fma.f64 y y x) x) | |
| cost-diff | 0 | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) | |
| cost-diff | 0 | #s(approx (+ 2 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 82 |
| 0 | 21 | 76 |
| 1 | 47 | 76 |
| 2 | 124 | 76 |
| 3 | 285 | 76 |
| 4 | 449 | 76 |
| 5 | 580 | 76 |
| 6 | 729 | 76 |
| 7 | 909 | 76 |
| 8 | 1483 | 76 |
| 9 | 1789 | 76 |
| 10 | 2069 | 76 |
| 11 | 2147 | 76 |
| 12 | 2241 | 76 |
| 13 | 2264 | 76 |
| 0 | 2264 | 73 |
| 1× | iter limit |
| 1× | saturated |
| 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) |
x |
#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 |
x |
| Outputs |
|---|
#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) |
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 y y (*.f64 #s(literal 2 binary64) x))) |
(+.f64 (fma.f64 y y x) x) |
(fma.f64 y y (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 y y x) |
y |
x |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 y y x) | |
| accuracy | 0.00390625 | (+.f64 (fma.f64 y y x) x) | |
| accuracy | 22.38649216389104 | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) | |
| accuracy | 27.339824052575825 | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) | |
| accuracy | 32.14881005208318 | #s(approx (+ 2 x) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 37.14554226217642 | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
| 21.0ms | 256× | 0 | valid |
Compiled 63 to 14 computations (77.8% saved)
ival-mult: 6.0ms (49.1% of total)ival-add: 5.0ms (40.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
(*.f64 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(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) |
| Outputs |
|---|
(pow y 2) |
(+ (* 2 x) (pow y 2)) |
(+ (* x (+ 2 x)) (pow y 2)) |
(pow x 2) |
(* 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 |
(* 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))) |
(* (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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x)) |
| 1.0ms | x | @ | -inf | ((+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x)) |
| 1.0ms | x | @ | 0 | ((+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x)) |
| 1.0ms | y | @ | inf | ((+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x)) |
| 0.0ms | y | @ | -inf | ((+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 175 |
| 1 | 165 | 169 |
| 2 | 550 | 165 |
| 3 | 2826 | 161 |
| 0 | 8399 | 152 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow y 2) |
(+ (* 2 x) (pow y 2)) |
(+ (* x (+ 2 x)) (pow y 2)) |
(pow x 2) |
(* 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 |
(* 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))) |
(* (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) |
(* 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 |
(* 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)) |
(* (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 | 17 | 77 |
| 0 | 21 | 71 |
| 1 | 105 | 71 |
| 2 | 907 | 71 |
| 0 | 8898 | 68 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
(*.f64 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(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) |
| 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 (neg.f64 x)) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x (neg.f64 (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)))) |
#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(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))) (*.f64 (/.f64 (*.f64 x 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))))) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x x) (-.f64 x x))) (-.f64 (*.f64 y y) (-.f64 x x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (*.f64 y y) x) #s(literal 2 binary64))) (-.f64 x (-.f64 (*.f64 y y) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))))) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) |
(/.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 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 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 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (*.f64 x 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 (fma.f64 y y x) #s(literal 2 binary64)) (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 y #s(literal 6 binary64)) (pow.f64 (-.f64 x x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 x x) (-.f64 x x)) (*.f64 (*.f64 y y) (-.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 y y) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (-.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 y y) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 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 y y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))) (fma.f64 x x (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (*.f64 (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 x x (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (fma.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))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y y x) x))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y y x) x)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y 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 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x))))) |
(neg.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 y y) x)) |
(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 x 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 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 y)) (neg.f64 (-.f64 x x))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (-.f64 (*.f64 y y) 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)) (-.f64 (*.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) (-.f64 (*.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 x x)) |
(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 (neg.f64 y))) (neg.f64 (-.f64 x x))) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (-.f64 x x)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (neg.f64 (-.f64 x x))) |
(fma.f64 (neg.f64 (neg.f64 y)) y (-.f64 x x)) |
(fma.f64 (neg.f64 (neg.f64 y)) y (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (neg.f64 (-.f64 x x))) |
(fma.f64 (neg.f64 y) (neg.f64 y) (-.f64 x x)) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 (neg.f64 y) y (neg.f64 (-.f64 x x))) |
(fma.f64 y (neg.f64 (neg.f64 y)) (-.f64 x x)) |
(fma.f64 y (neg.f64 (neg.f64 y)) (*.f64 #s(literal 2 binary64) x)) |
(fma.f64 y (neg.f64 y) (neg.f64 (-.f64 x x))) |
(fma.f64 y y (-.f64 x x)) |
(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)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (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 (fma.f64 y y x) x) |
(-.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) x)) |
(-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) y)) |
(-.f64 x (fma.f64 y y 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 y y) (*.f64 #s(literal 2 binary64) x))))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x)))))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y y x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y y x) x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y y x) x)))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y y x) x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (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 (neg.f64 y) y) (neg.f64 (-.f64 x x))) |
(+.f64 (neg.f64 x) (-.f64 (*.f64 y y) x)) |
(+.f64 (fma.f64 y y x) x) |
(+.f64 (*.f64 y y) (-.f64 x x)) |
(+.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) |
(+.f64 x (-.f64 (*.f64 y y) x)) |
(+.f64 x (fma.f64 y y x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x)))) (fma.f64 y y x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 x x (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 x (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 x x (pow.f64 y #s(literal 4 binary64)))) (-.f64 x (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (*.f64 (-.f64 (*.f64 y y) x) (*.f64 x x))) (pow.f64 (-.f64 (*.f64 y y) x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 x x (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 x (*.f64 y y)))) |
(/.f64 (fma.f64 x x (pow.f64 y #s(literal 4 binary64))) (-.f64 x (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (*.f64 y y) x)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 (neg.f64 y) y))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) x))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) x)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(neg.f64 (fma.f64 y y x)) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) x) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 y)) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 y y)) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 y y)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y y)) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) x) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 x)) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) x) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (neg.f64 x)) |
(fma.f64 (neg.f64 (neg.f64 y)) y x) |
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (neg.f64 x)) |
(fma.f64 (neg.f64 y) (neg.f64 y) x) |
(fma.f64 (neg.f64 y) y (neg.f64 x)) |
(fma.f64 y (neg.f64 (neg.f64 y)) x) |
(fma.f64 y (neg.f64 y) (neg.f64 x)) |
(fma.f64 y y x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x))) |
(-.f64 x (*.f64 (neg.f64 y) y)) |
(+.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) x)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x))) |
(+.f64 (*.f64 (neg.f64 y) y) (neg.f64 x)) |
(+.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(+.f64 (*.f64 y y) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))) |
(+.f64 x (*.f64 y y)) |
Compiled 5 137 to 591 computations (88.5% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 169 | 0 | 169 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 4 | 4 |
| Total | 169 | 7 | 176 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
| ✓ | 65.0% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y))) |
| ✓ | 65.0% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) |
| ✓ | 57.3% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
| ✓ | 18.2% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) |
| ✓ | 49.5% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) |
| ✓ | 42.0% | #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)) |
Compiled 231 to 103 computations (55.4% 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 #s(literal 2 binary64) x (*.f64 y y))) |
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
| Outputs |
|---|
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
5 calls:
| 4.0ms | (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
| 3.0ms | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 3.0ms | x |
| 3.0ms | y |
| 2.0ms | (*.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 #s(literal 2 binary64) x (*.f64 y y))) |
| Outputs |
|---|
#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)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) |
5 calls:
| 9.0ms | x |
| 2.0ms | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 2.0ms | y |
| 2.0ms | (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
| 2.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 2 | (*.f64 y y) |
| 91.6% | 2 | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 68.4% | 3 | (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
| 91.9% | 3 | x |
| 84.5% | 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)) |
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) 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)) |
1 calls:
| 2.0ms | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 2 | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
Compiled 7 to 6 computations (14.3% 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)) |
#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:
| 49.0ms | y |
| 2.0ms | x |
| 2.0ms | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 2.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 2 | (*.f64 y y) |
| 84.5% | 2 | y |
| 76.8% | 3 | x |
| 76.4% | 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)) |
3 calls:
| 2.0ms | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 2.0ms | y |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.4% | 2 | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) |
| 69.2% | 2 | (*.f64 y y) |
| 72.0% | 3 | y |
Compiled 11 to 11 computations (0% 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 | y |
| 1.0ms | (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
| 1.0ms | x |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.0% | 1 | (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) |
| 42.0% | 1 | (*.f64 y y) |
| 42.0% | 1 | y |
| 42.0% | 1 | x |
| 42.0% | 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 | 1.7431370494538416e+158 | 7.320804423589442e+181 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7431370494538416e+158 | 7.320804423589442e+181 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1944439869301042.3 | 2.3221362527622372e+21 |
| 7.0ms | 144× | 0 | valid |
Compiled 302 to 229 computations (24.2% saved)
ival-mult: 3.0ms (73.2% of total)ival-add: 1.0ms (24.4% 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 | 1.7431370494538416e+158 | 7.320804423589442e+181 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 171 |
| 1 | 52 | 171 |
| 2 | 125 | 171 |
| 3 | 277 | 171 |
| 4 | 445 | 171 |
| 5 | 582 | 171 |
| 6 | 926 | 171 |
| 7 | 3511 | 171 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 199999999999999990574670907302422015994892365563716166358170775499571904478411574137991398006833021552774620122989864841969926623135604404021274575455284887552 binary64)) #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)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))) |
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 199999999999999990574670907302422015994892365563716166358170775499571904478411574137991398006833021552774620122989864841969926623135604404021274575455284887552 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 4000000000000000 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 199999999999999990574670907302422015994892365563716166358170775499571904478411574137991398006833021552774620122989864841969926623135604404021274575455284887552 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 |
|---|
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y)) |
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 199999999999999990574670907302422015994892365563716166358170775499571904478411574137991398006833021552774620122989864841969926623135604404021274575455284887552 binary64)) #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)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))) |
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 199999999999999990574670907302422015994892365563716166358170775499571904478411574137991398006833021552774620122989864841969926623135604404021274575455284887552 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 4000000000000000 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 199999999999999990574670907302422015994892365563716166358170775499571904478411574137991398006833021552774620122989864841969926623135604404021274575455284887552 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 | 16 | 75 |
| 0 | 22 | 66 |
| 1 | 118 | 66 |
| 2 | 808 | 66 |
| 0 | 8636 | 66 |
| 0 | 36 | 104 |
| 1 | 109 | 98 |
| 2 | 389 | 94 |
| 3 | 2091 | 88 |
| 0 | 8681 | 84 |
| 0 | 8 | 27 |
| 0 | 13 | 23 |
| 1 | 61 | 23 |
| 2 | 554 | 23 |
| 0 | 9427 | 22 |
| 0 | 46 | 164 |
| 1 | 153 | 152 |
| 2 | 528 | 148 |
| 3 | 2901 | 146 |
| 0 | 8586 | 137 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 189 to 32 computations (83.1% saved)
(abs y)
Compiled 438 to 108 computations (75.3% saved)
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