
Time bar (total: 7.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 10 computations (23.1% saved)
| 824.0ms | 8 256× | 0 | valid |
ival-div: 212.0ms (46.4% of total)ival-add: 171.0ms (37.4% of total)ival-mult: 57.0ms (12.5% of total)ival-true: 7.0ms (1.5% of total)exact: 6.0ms (1.3% of total)ival-assert: 4.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 34 | 0 | - | 0 | - | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 x y) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | o/n | 34 | 0 |
| ↳ | (/.f64 x y) | overflow | 38 | |
| ↳ | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | overflow | 72 | |
| ↳ | (+.f64 (/.f64 x y) #s(literal 1 binary64)) | overflow | 38 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 34 | 0 |
| - | 0 | 222 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 34 | 0 | 0 |
| - | 0 | 0 | 222 |
| number | freq |
|---|---|
| 0 | 222 |
| 1 | 34 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 60.0ms | 512× | 0 | valid |
Compiled 79 to 28 computations (64.6% saved)
ival-div: 35.0ms (77.6% of total)ival-add: 6.0ms (13.3% of total)ival-mult: 4.0ms (8.9% of total)ival-true: 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 | 22 | 65 |
| 1 | 72 | 63 |
| 2 | 237 | 55 |
| 3 | 684 | 55 |
| 4 | 2259 | 55 |
| 5 | 4299 | 55 |
| 6 | 5445 | 55 |
| 7 | 5816 | 55 |
| 8 | 5870 | 55 |
| 9 | 5996 | 55 |
| 10 | 6068 | 55 |
| 11 | 6308 | 55 |
| 12 | 6722 | 55 |
| 13 | 7011 | 55 |
| 14 | 7011 | 55 |
| 15 | 7011 | 55 |
| 0 | 8 | 11 |
| 0 | 13 | 11 |
| 1 | 26 | 11 |
| 2 | 55 | 11 |
| 3 | 120 | 11 |
| 4 | 332 | 11 |
| 5 | 1017 | 11 |
| 6 | 1911 | 11 |
| 7 | 2198 | 11 |
| 8 | 2328 | 11 |
| 9 | 2614 | 11 |
| 10 | 2841 | 11 |
| 11 | 2881 | 11 |
| 12 | 3029 | 11 |
| 13 | 3357 | 11 |
| 14 | 3375 | 11 |
| 15 | 3377 | 11 |
| 16 | 3377 | 11 |
| 17 | 3377 | 11 |
| 18 | 3413 | 11 |
| 19 | 3425 | 11 |
| 20 | 3425 | 11 |
| 0 | 3425 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.5% | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
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 y) | |
| cost-diff | 0 | (+.f64 (/.f64 x y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 1 | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 0 | 13 | 32 |
| 1 | 26 | 32 |
| 2 | 55 | 32 |
| 3 | 120 | 32 |
| 4 | 332 | 32 |
| 5 | 1017 | 32 |
| 6 | 1911 | 32 |
| 7 | 2198 | 32 |
| 8 | 2328 | 32 |
| 9 | 2614 | 32 |
| 10 | 2841 | 32 |
| 11 | 2881 | 32 |
| 12 | 3029 | 32 |
| 13 | 3357 | 32 |
| 14 | 3375 | 32 |
| 15 | 3377 | 32 |
| 16 | 3377 | 32 |
| 17 | 3377 | 32 |
| 18 | 3413 | 32 |
| 19 | 3425 | 32 |
| 20 | 3425 | 32 |
| 0 | 3425 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
x |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
y |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
x |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x y) |
y |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 0.08203125 | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 7.997245938804973 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 20.0ms | 256× | 0 | valid |
Compiled 34 to 10 computations (70.6% saved)
ival-div: 4.0ms (47.4% of total)ival-add: 2.0ms (23.7% of total)ival-mult: 2.0ms (23.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
1 |
(+ 1 (/ x y)) |
(/ x y) |
(+ 1 x) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ x y) y) |
(+ x (/ (pow x 2) y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | -inf | ((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1)) |
| 2.0ms | x | @ | inf | ((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1)) |
| 1.0ms | y | @ | 0 | ((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1)) |
| 1.0ms | x | @ | 0 | ((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1)) |
| 1.0ms | y | @ | -inf | ((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 321 |
| 1 | 253 | 304 |
| 2 | 674 | 291 |
| 3 | 3720 | 289 |
| 0 | 8258 | 273 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
1 |
(+ 1 (/ x y)) |
(/ x y) |
(+ 1 x) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ x y) y) |
(+ x (/ (pow x 2) y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
| Outputs |
|---|
x |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x y)) |
(-.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/ x y) |
(/.f64 x y) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(fma.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) x)) x)) x #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(-.f64 (/.f64 x y) #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)) x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)) x)) x) (/.f64 #s(literal 1 binary64) y))) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 (/.f64 x y) x x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
(/ (+ x y) y) |
(-.f64 (/.f64 x y) #s(literal -1 binary64)) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(/ x (+ 1 x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 0 | 13 | 29 |
| 1 | 55 | 29 |
| 2 | 373 | 29 |
| 3 | 3922 | 29 |
| 0 | 8666 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 x (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x)) |
(*.f64 x (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 x (-.f64 (/.f64 x y) #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 x y) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 8 696 to 1 253 computations (85.6% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 340 | 14 | 354 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 341 | 14 | 355 |
| Status | Accuracy | Program |
|---|---|---|
| 60.4% | (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) | |
| 87.5% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) | |
| 87.5% | (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) | |
| 68.8% | (/.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) | |
| 60.9% | (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| 62.1% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 49.4% | (/.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 87.4% | (/.f64 (*.f64 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 43.4% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 99.9% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| 49.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64))) | |
| ▶ | 46.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| 58.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) | |
| 51.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
Compiled 500 to 316 computations (36.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 1 | (*.f64 x (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) | |
| cost-diff | 5 | (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 (*.f64 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 1 | (*.f64 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) | |
| cost-diff | 2 | (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 x (-.f64 x #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 1 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 193 |
| 0 | 51 | 176 |
| 1 | 99 | 176 |
| 2 | 218 | 172 |
| 3 | 567 | 172 |
| 4 | 1285 | 172 |
| 5 | 2751 | 172 |
| 6 | 3263 | 172 |
| 7 | 3424 | 172 |
| 8 | 3504 | 172 |
| 9 | 3632 | 172 |
| 10 | 3765 | 172 |
| 11 | 3805 | 172 |
| 12 | 3805 | 172 |
| 13 | 3805 | 172 |
| 14 | 3805 | 172 |
| 15 | 4317 | 172 |
| 16 | 5163 | 172 |
| 17 | 5182 | 172 |
| 18 | 5186 | 172 |
| 19 | 5222 | 172 |
| 20 | 5227 | 172 |
| 21 | 5239 | 172 |
| 22 | 5271 | 172 |
| 23 | 5319 | 172 |
| 24 | 5491 | 172 |
| 25 | 5491 | 172 |
| 0 | 5491 | 164 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
x |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x y) |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
x |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
#s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
x |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) |
x |
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 x y)) |
(/.f64 x y) |
y |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
x |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
x |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
x |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
x |
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 x y)) |
(/.f64 x y) |
y |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (*.f64 x (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) | |
| accuracy | 0.078125 | (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) | |
| accuracy | 2.842136181947521 | (/.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 7.414832051223512 | (sqrt.f64 (/.f64 x y)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.03515625 | (*.f64 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) | |
| accuracy | 0.046875 | (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) | |
| accuracy | 2.842136181947521 | (/.f64 (*.f64 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.05859375 | (*.f64 (/.f64 x y) x) | |
| accuracy | 2.842136181947521 | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 14.010499291309443 | #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) | |
| accuracy | 0.0 | (-.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 x (-.f64 x #s(literal -1 binary64))) | |
| accuracy | 15.036575393535408 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0078125 | (/.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.01953125 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| 87.0ms | 134× | 0 | invalid |
| 38.0ms | 122× | 0 | valid |
Compiled 183 to 29 computations (84.2% saved)
ival-add: 19.0ms (31.6% of total)ival-mult: 18.0ms (29.9% of total)ival-div: 17.0ms (28.2% of total)ival-sub: 2.0ms (3.3% of total)ival-sqrt: 2.0ms (3.3% of total)ival-neg: 2.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
#s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(neg.f64 x) |
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 x y)) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
1 |
(+ 1 x) |
(+ 1 (/ x y)) |
(* x (+ 1 (/ x y))) |
(/ (pow x 2) y) |
(/ x y) |
(* -1 x) |
(sqrt (/ x y)) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (* x (- (/ (pow (sqrt -1) 2) y) (/ 1 x)))) |
(* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) y)) |
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) y)) (/ 1 x))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ x y) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (/ (pow x 2) y)) |
(+ 1 (* -1 (/ (* x (pow (sqrt -1) 2)) y))) |
(+ x (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) y))) |
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x))) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 63.0ms | x | @ | -inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* (/ x y) x) (/ x y) (+ (* (neg x) (/ -1 y)) 1) (* x (+ (* (neg x) (/ -1 y)) 1)) (/ (* x (+ (* (neg x) (/ -1 y)) 1)) (+ x 1)) (neg x) (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1) (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (sqrt (/ x y)) (+ x 1)) |
| 3.0ms | y | @ | -inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* (/ x y) x) (/ x y) (+ (* (neg x) (/ -1 y)) 1) (* x (+ (* (neg x) (/ -1 y)) 1)) (/ (* x (+ (* (neg x) (/ -1 y)) 1)) (+ x 1)) (neg x) (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1) (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (sqrt (/ x y)) (+ x 1)) |
| 2.0ms | x | @ | inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* (/ x y) x) (/ x y) (+ (* (neg x) (/ -1 y)) 1) (* x (+ (* (neg x) (/ -1 y)) 1)) (/ (* x (+ (* (neg x) (/ -1 y)) 1)) (+ x 1)) (neg x) (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1) (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (sqrt (/ x y)) (+ x 1)) |
| 1.0ms | x | @ | 0 | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* (/ x y) x) (/ x y) (+ (* (neg x) (/ -1 y)) 1) (* x (+ (* (neg x) (/ -1 y)) 1)) (/ (* x (+ (* (neg x) (/ -1 y)) 1)) (+ x 1)) (neg x) (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1) (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (sqrt (/ x y)) (+ x 1)) |
| 1.0ms | y | @ | 0 | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* (/ x y) x) (/ x y) (+ (* (neg x) (/ -1 y)) 1) (* x (+ (* (neg x) (/ -1 y)) 1)) (/ (* x (+ (* (neg x) (/ -1 y)) 1)) (+ x 1)) (neg x) (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1) (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (sqrt (/ x y)) (+ x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 574 |
| 1 | 471 | 519 |
| 2 | 1470 | 491 |
| 3 | 6837 | 483 |
| 0 | 8291 | 461 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
1 |
(+ 1 x) |
(+ 1 (/ x y)) |
(* x (+ 1 (/ x y))) |
(/ (pow x 2) y) |
(/ x y) |
(* -1 x) |
(sqrt (/ x y)) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (* x (- (/ (pow (sqrt -1) 2) y) (/ 1 x)))) |
(* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) y)) |
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) y)) (/ 1 x))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ x y) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (/ (pow x 2) y)) |
(+ 1 (* -1 (/ (* x (pow (sqrt -1) 2)) y))) |
(+ x (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) y))) |
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x))) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) |
(* x (+ 1 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) x) |
(* x (+ 1 (* x (- x 1)))) |
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(fma.f64 (*.f64 x x) (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (/ x y)) |
(/.f64 (+.f64 y x) y) |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ x y) |
(/.f64 x y) |
(* -1 x) |
(neg.f64 x) |
(sqrt (/ x y)) |
(sqrt.f64 (/.f64 x y)) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(fma.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)) x #s(literal 1 binary64)) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)) (/.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/.f64 (+.f64 y x) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) y))) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(/.f64 x y) |
(* -1 (* x (- (/ (pow (sqrt -1) 2) y) (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) y)) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) y)) (/ 1 x))) |
(fma.f64 (/.f64 x y) x x) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(-.f64 (/.f64 x y) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(-.f64 (/.f64 x y) (*.f64 (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 #s(literal 1 binary64) y)) x)) #s(literal 1 binary64))) |
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 x y)) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 (/.f64 x y) x x) |
(/ x (+ 1 x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(+ 1 (* -1 (/ (* x (pow (sqrt -1) 2)) y))) |
(/.f64 (+.f64 y x) y) |
(+ x (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) y))) |
(fma.f64 (/.f64 x y) x x) |
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 163 |
| 0 | 51 | 146 |
| 1 | 181 | 142 |
| 2 | 1267 | 142 |
| 0 | 9201 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
#s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(neg.f64 x) |
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 x y)) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 x #s(literal -1 binary64))) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 x y) (/.f64 x (-.f64 x #s(literal -1 binary64)))))))) |
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) y) #s(literal 3 binary64))) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (/.f64 x (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (+.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x y) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) y) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 x y) (/.f64 x (-.f64 x #s(literal -1 binary64))))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 x))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 x))) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 x))) (neg.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) y)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) y))) |
(/.f64 (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 x y) x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (neg.f64 x) (/.f64 x (-.f64 x #s(literal -1 binary64)))))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 x)))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (/.f64 x y) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 y))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 y (-.f64 x #s(literal -1 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 y (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (/.f64 x y) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) (/.f64 x (-.f64 x #s(literal -1 binary64)))))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))))) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 x)))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x))) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) y)) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) y))) |
(/.f64 (-.f64 (*.f64 x (*.f64 y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 y))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
(/.f64 (-.f64 (*.f64 x (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 y (-.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 y (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 x y) x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 y) x)) (*.f64 y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 y (neg.f64 x))) (*.f64 y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
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(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
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(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 x #s(literal -1 binary64)) |
(+.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 21 191 to 2 875 computations (86.4% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 899 | 5 | 904 |
| Fresh | 5 | 4 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 906 | 12 | 918 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.5% | (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) |
| 68.8% | (/.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) | |
| 62.1% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) | |
| 38.1% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64))) | |
| ✓ | 43.4% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 21.6% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | 99.9% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| ▶ | 51.1% | (*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| ✓ | 46.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| 58.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) | |
| ▶ | 51.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
| ▶ | 49.0% | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64))) |
Compiled 389 to 254 computations (34.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (sqrt.f64 (/.f64 x y))) | |
| cost-diff | 0 | #s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 6 | (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64))) | |
| cost-diff | 3 | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) x) | |
| cost-diff | 0 | #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) | |
| cost-diff | 0 | (fma.f64 y x y) | |
| cost-diff | 0 | (/.f64 x (fma.f64 y x y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (fma.f64 y x y)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 1 | (+.f64 (*.f64 (/.f64 x y) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 247 |
| 0 | 63 | 223 |
| 1 | 114 | 223 |
| 2 | 215 | 223 |
| 3 | 589 | 223 |
| 4 | 1420 | 223 |
| 5 | 2790 | 223 |
| 6 | 3547 | 223 |
| 7 | 3795 | 223 |
| 8 | 4068 | 217 |
| 9 | 4707 | 217 |
| 10 | 5965 | 217 |
| 11 | 7294 | 217 |
| 0 | 8011 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 x y) x) x) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/.f64 x (fma.f64 y x y)) |
x |
(fma.f64 y x y) |
y |
(*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
#s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x y) |
y |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
x |
y |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) |
(*.f64 x (sqrt.f64 (/.f64 x y))) |
x |
(sqrt.f64 (/.f64 x y)) |
(/.f64 x y) |
y |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 (/.f64 x y) x) x) |
(fma.f64 (/.f64 x y) x x) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/.f64 x (fma.f64 y x y)) |
x |
(fma.f64 y x y) |
y |
(*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x y) |
y |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
x |
y |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) |
#s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) |
(*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (sqrt.f64 (/.f64 x y))) |
(*.f64 (sqrt.f64 (/.f64 x y)) x) |
x |
(sqrt.f64 (/.f64 x y)) |
(/.f64 x y) |
y |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08822250976844202 | (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) | |
| accuracy | 2.842136181947521 | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 7.414832051223512 | (sqrt.f64 (/.f64 x y)) | |
| accuracy | 14.010499291309443 | #s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0859375 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) | |
| accuracy | 3.0957649965458507 | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) | |
| accuracy | 16.424615125095166 | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| accuracy | 0.0 | (*.f64 (-.f64 #s(literal 1 binary64) x) x) | |
| accuracy | 0.01953125 | (*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) | |
| accuracy | 13.749922412148333 | #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) | |
| accuracy | 0.0 | (fma.f64 y x y) | |
| accuracy | 0.0625 | (*.f64 (/.f64 x (fma.f64 y x y)) x) | |
| accuracy | 1.9330251354897094 | (/.f64 x (fma.f64 y x y)) | |
| accuracy | 14.010519044336862 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) | |
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 (/.f64 x y) x) x) | |
| accuracy | 0.05859375 | (*.f64 (/.f64 x y) x) | |
| accuracy | 2.842136181947521 | (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) |
| 37.0ms | 134× | 0 | invalid |
| 32.0ms | 122× | 0 | valid |
Compiled 197 to 35 computations (82.2% saved)
ival-mult: 16.0ms (32.8% of total)ival-div: 14.0ms (28.7% of total)ival-add: 14.0ms (28.7% of total)ival-sub: 2.0ms (4.1% of total)ival-sqrt: 2.0ms (4.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 (/.f64 x y) x) x) |
(/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/.f64 x (fma.f64 y x y)) |
(fma.f64 y x y) |
(*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
#s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) x) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) |
(*.f64 x (sqrt.f64 (/.f64 x y))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(sqrt.f64 (/.f64 x y)) |
| Outputs |
|---|
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ (pow x 2) y) |
(/ x y) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(* x (+ (* -1 (/ x y)) (/ 1 y))) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
y |
(+ y (* x y)) |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
1 |
(+ 1 (* -1 x)) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ -1 (* x y)) |
(/ (- (/ x y) (/ 1 y)) x) |
(/ -1 x) |
(/ (- x 1) x) |
(sqrt (/ (pow x 3) y)) |
(+ 1 x) |
(+ 1 (/ x y)) |
(sqrt (/ x y)) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(* x y) |
(* x (+ y (/ y x))) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (+ 1 (/ 1 x))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) y)) |
(* -1 (* (sqrt (/ (pow x 3) y)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2))) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(/ (* x (- 1 (/ 1 x))) y) |
(/ (+ y (* x (- 1 (/ 1 x)))) y) |
(/ (- 1 (/ 1 x)) y) |
(/ (+ x y) y) |
(+ x (/ (pow x 2) y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ 1 (/ (* x (- 1 (/ 1 x))) y)) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (* y (- (* -1 x) 1))) |
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x))) |
(* (sqrt (/ (pow x 3) y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((+ (* (/ x y) x) x) (/ (+ (* (/ x y) x) x) (+ x 1)) (* (/ x y) x) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (* (- 1 x) x) (- 1 x) (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/ (- 1 (/ 1 x)) y) (- 1 (/ 1 x)) (* (* x (sqrt (/ x y))) (sqrt (/ x y))) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* x (sqrt (/ x y))) (+ x 1) (+ 1 (/ x y)) (sqrt (/ x y))) |
| 7.0ms | y | @ | 0 | ((+ (* (/ x y) x) x) (/ (+ (* (/ x y) x) x) (+ x 1)) (* (/ x y) x) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (* (- 1 x) x) (- 1 x) (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/ (- 1 (/ 1 x)) y) (- 1 (/ 1 x)) (* (* x (sqrt (/ x y))) (sqrt (/ x y))) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* x (sqrt (/ x y))) (+ x 1) (+ 1 (/ x y)) (sqrt (/ x y))) |
| 5.0ms | y | @ | -inf | ((+ (* (/ x y) x) x) (/ (+ (* (/ x y) x) x) (+ x 1)) (* (/ x y) x) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (* (- 1 x) x) (- 1 x) (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/ (- 1 (/ 1 x)) y) (- 1 (/ 1 x)) (* (* x (sqrt (/ x y))) (sqrt (/ x y))) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* x (sqrt (/ x y))) (+ x 1) (+ 1 (/ x y)) (sqrt (/ x y))) |
| 3.0ms | x | @ | inf | ((+ (* (/ x y) x) x) (/ (+ (* (/ x y) x) x) (+ x 1)) (* (/ x y) x) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (* (- 1 x) x) (- 1 x) (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/ (- 1 (/ 1 x)) y) (- 1 (/ 1 x)) (* (* x (sqrt (/ x y))) (sqrt (/ x y))) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* x (sqrt (/ x y))) (+ x 1) (+ 1 (/ x y)) (sqrt (/ x y))) |
| 3.0ms | y | @ | inf | ((+ (* (/ x y) x) x) (/ (+ (* (/ x y) x) x) (+ x 1)) (* (/ x y) x) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (* (- 1 x) x) (- 1 x) (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/ (- 1 (/ 1 x)) y) (- 1 (/ 1 x)) (* (* x (sqrt (/ x y))) (sqrt (/ x y))) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* x (sqrt (/ x y))) (+ x 1) (+ 1 (/ x y)) (sqrt (/ x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 1090 |
| 1 | 744 | 1013 |
| 2 | 2188 | 949 |
| 0 | 8514 | 914 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ (pow x 2) y) |
(/ x y) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(* x (+ (* -1 (/ x y)) (/ 1 y))) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
y |
(+ y (* x y)) |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
1 |
(+ 1 (* -1 x)) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ -1 (* x y)) |
(/ (- (/ x y) (/ 1 y)) x) |
(/ -1 x) |
(/ (- x 1) x) |
(sqrt (/ (pow x 3) y)) |
(+ 1 x) |
(+ 1 (/ x y)) |
(sqrt (/ x y)) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(* x y) |
(* x (+ y (/ y x))) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (+ 1 (/ 1 x))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) y)) |
(* -1 (* (sqrt (/ (pow x 3) y)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2))) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(/ (* x (- 1 (/ 1 x))) y) |
(/ (+ y (* x (- 1 (/ 1 x)))) y) |
(/ (- 1 (/ 1 x)) y) |
(/ (+ x y) y) |
(+ x (/ (pow x 2) y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ 1 (/ (* x (- 1 (/ 1 x))) y)) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (* y (- (* -1 x) 1))) |
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x))) |
(* (sqrt (/ (pow x 3) y)) (pow (sqrt -1) 2)) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
x |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y) x) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y)) (*.f64 x x)) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) y)) x (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(* x (+ (* -1 (/ x y)) (/ 1 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(fma.f64 (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y)) x (/.f64 x y)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x) (/.f64 x y)) |
y |
(+ y (* x y)) |
(fma.f64 y x y) |
(* x (+ 1 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) x) |
(* x (+ 1 (* x (- x 1)))) |
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(*.f64 (fma.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/ -1 (* x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) x) |
(/ (- (/ x y) (/ 1 y)) x) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) y) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(sqrt (/ (pow x 3) y)) |
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(sqrt (/ x y)) |
(sqrt.f64 (/.f64 x y)) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 x y) #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) x) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(fma.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) y) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x #s(literal 1 binary64)) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) y) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) x) y) x) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) y) (/.f64 #s(literal 1 binary64) y)) x) x (/.f64 x y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x y))) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) x) y) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(- 1 (/ 1 x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) x) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) x)) (/.f64 #s(literal 1 binary64) x)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 x y) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) x) x (/.f64 x y)) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) x)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(/.f64 x y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y)))) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 x y) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) x) x (/.f64 x y)) |
(* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) y)) |
(*.f64 (/.f64 x y) x) |
(* -1 (* (sqrt (/ (pow x 3) y)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) |
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 x y)) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 (/.f64 x y) x x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 y x y))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 y x y)) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(/ (* x (- 1 (/ 1 x))) y) |
(/.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) y) |
(/ (+ y (* x (- 1 (/ 1 x)))) y) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 x y) #s(literal 1 binary64)) |
(/ (- 1 (/ 1 x)) y) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) y) |
(/ (+ x y) y) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(/ x (+ 1 x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
(+ 1 (/ (* x (- 1 (/ 1 x))) y)) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 x y) #s(literal 1 binary64)) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(/.f64 (/.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 x) 1))) |
(*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y)) |
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
(* (sqrt (/ (pow x 3) y)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) |
(* (sqrt (/ x y)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 221 |
| 0 | 63 | 197 |
| 1 | 229 | 197 |
| 2 | 1556 | 197 |
| 0 | 8259 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 x y) x) x) |
(/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/.f64 x (fma.f64 y x y)) |
(fma.f64 y x y) |
(*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
#s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) x) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) |
(*.f64 x (sqrt.f64 (/.f64 x y))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(sqrt.f64 (/.f64 x y)) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 x (-.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 x y) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) x) x)) (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 x y) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 x y) x) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 x y) x) x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 x y) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (/.f64 x y) x) (*.f64 #s(literal -1 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 x y)) x)) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 x y)) x)) (sqrt.f64 (/.f64 x y))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 x y)) x)) (sqrt.f64 (/.f64 x y))) (*.f64 x (*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 x y)) x)) (sqrt.f64 (/.f64 x y))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (/.f64 x y)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (*.f64 (neg.f64 x) (/.f64 x y)) (*.f64 x (*.f64 (neg.f64 x) (/.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x 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 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) x x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x y) x) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) x) x)) (*.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (-.f64 (*.f64 (/.f64 x y) x) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (*.f64 (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (fma.f64 (/.f64 x y) x x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 x y) x) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 x y) x) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64))) (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) |
(fma.f64 (fabs.f64 (*.f64 (sqrt.f64 (/.f64 x y)) x)) (sqrt.f64 (/.f64 x y)) x) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 (/.f64 x y) x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 x y) x)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 x y)) x) (sqrt.f64 (/.f64 x y)) x) |
(fma.f64 (sqrt.f64 (/.f64 x y)) (fabs.f64 (*.f64 (sqrt.f64 (/.f64 x y)) x)) x) |
(fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) |
(fma.f64 x (/.f64 x y) x) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) |
(fma.f64 (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) y)))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x y))) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 y)))) |
(/.f64 (fabs.f64 (sqrt.f64 (neg.f64 x))) (fabs.f64 (sqrt.f64 (neg.f64 y)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 x y) x))) (sqrt.f64 (sqrt.f64 y))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 y)))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 y)) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 y))) |
(/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 y))) |
(/.f64 (sqrt.f64 x) (sqrt.f64 y)) |
(neg.f64 (sqrt.f64 (/.f64 x y))) |
(sqrt.f64 (/.f64 x y)) |
(fabs.f64 (sqrt.f64 (/.f64 x y))) |
(exp.f64 (/.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 x y)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 x y)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 x y))))) |
Compiled 26 976 to 3 126 computations (88.4% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 833 | 10 | 843 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 2 | 1 | 3 |
| Total | 838 | 17 | 855 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.5% | (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 68.8% | (/.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
| 47.4% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) (-.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| 38.1% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64))) | |
| ✓ | 21.6% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) (+.f64 x #s(literal 1 binary64))) |
| 32.3% | (*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) | |
| 58.5% | (*.f64 #s(approx (/ x (+ 1 x)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) | |
| ▶ | 58.4% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
| ▶ | 42.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
| ✓ | 46.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| ✓ | 51.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
| 51.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x #s(approx (+ (* y x) y) (*.f64 (+.f64 (/.f64 y x) y) x))) x)) | |
| 36.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x #s(approx (+ (* y x) y) (*.f64 y x))) x)) | |
| 40.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) | |
| ✓ | 49.0% | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64))) |
| ▶ | 40.4% | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
| ▶ | 49.1% | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
Compiled 653 to 404 computations (38.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 y x y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (fma.f64 y x y)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) x x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 5 | (/.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 232 |
| 0 | 62 | 217 |
| 1 | 113 | 217 |
| 2 | 276 | 212 |
| 3 | 971 | 212 |
| 4 | 4321 | 212 |
| 0 | 8491 | 210 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
x |
y |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
#s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(*.f64 x x) |
x |
(fma.f64 y x y) |
y |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (/.f64 x y) x x)) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
x |
y |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
#s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(*.f64 x x) |
x |
(fma.f64 y x y) |
y |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) | |
| accuracy | 0.03125 | (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.0390625 | (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) | |
| accuracy | 11.330583970028796 | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) | |
| accuracy | 0.0 | (fma.f64 y x y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 5.334133795354663 | (/.f64 (*.f64 x x) (fma.f64 y x y)) | |
| accuracy | 14.010519044336862 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 16.424615125095166 | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 18.894374670187776 | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) | |
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.03515625 | (fma.f64 (/.f64 x y) x x) | |
| accuracy | 7.37051597749047 | (/.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
| 36.0ms | 134× | 0 | invalid |
| 34.0ms | 122× | 0 | valid |
Compiled 192 to 40 computations (79.2% saved)
ival-div: 19.0ms (36.4% of total)ival-mult: 16.0ms (30.7% of total)ival-add: 9.0ms (17.3% of total)ival-sub: 6.0ms (11.5% of total)ival-sqrt: 2.0ms (3.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
#s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(*.f64 x x) |
(fma.f64 y x y) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x (- 1 (/ 1 y)))))) |
(* x (+ 1 (* x (+ (* -1 (- 1 (/ 1 y))) (* x (- 1 (/ 1 y))))))) |
(* x (+ 1 (* x (+ (* -1 (- 1 (/ 1 y))) (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))))))) |
(* -1 x) |
(* x (- (* x (- 1 (/ 1 y))) 1)) |
(* x (- (* x (- (+ 1 (/ x y)) (/ 1 y))) 1)) |
(* x (+ 1 (/ x y))) |
(/ x y) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(pow x 2) |
y |
(+ y (* x y)) |
1 |
(+ 1 (* x (- (/ 1 y) 1))) |
-1 |
(- x 1) |
(+ 1 (* -1 x)) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ (pow x 3) y) |
(* (pow x 3) (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* (pow x 3) (- (+ (/ 1 x) (/ 1 y)) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(* x y) |
(* x (+ y (/ y x))) |
(* (pow x 2) (- (/ 1 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- 1 (/ 1 x))) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(* -1 (* (pow x 3) (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (- (/ 1 y) 1)) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ (* (pow x 2) (- x 1)) (* y (- (pow x 2) 1))) |
(/ (+ (/ (* x (* y (- x 1))) (- (pow x 2) 1)) (/ (* (pow x 2) (- x 1)) (- (pow x 2) 1))) y) |
(/ (* (pow x 2) (- x 1)) y) |
(/ (+ (* x (* y (- x 1))) (* (pow x 2) (- x 1))) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (* x (- 1 (/ 1 x))) y) |
(/ (+ y (* x (- 1 (/ 1 x)))) y) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- 1 x) y) |
(* y (+ 1 x)) |
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y) |
(/ (+ x (* y (+ 1 (* -1 x)))) y) |
(/ (+ 1 (* -1 y)) y) |
(/ (* x (- x 1)) (- (pow x 2) 1)) |
(+ (/ (* x (- x 1)) (- (pow x 2) 1)) (/ (* (pow x 2) (- x 1)) (* y (- (pow x 2) 1)))) |
(* x (- x 1)) |
(+ (* x (- x 1)) (/ (* (pow x 2) (- x 1)) y)) |
(+ x (/ (pow x 2) y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ 1 (/ (* x (- 1 (/ 1 x))) y)) |
(* x (+ 1 (* -1 x))) |
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y)) |
(+ 1 (+ (* -1 x) (/ x y))) |
(- (/ 1 y) 1) |
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x))) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (* y (- (* -1 x) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | ((/ (* (+ (* (/ x y) x) x) (- x 1)) (+ (* x x) -1)) (* (+ (* (/ x y) x) x) (- x 1)) (+ (* (/ x y) x) x) (/ x y) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* x x) (+ (* y x) y)) (* x x) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (- x 1) (- 1 x)) |
| 3.0ms | x | @ | -inf | ((/ (* (+ (* (/ x y) x) x) (- x 1)) (+ (* x x) -1)) (* (+ (* (/ x y) x) x) (- x 1)) (+ (* (/ x y) x) x) (/ x y) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* x x) (+ (* y x) y)) (* x x) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (- x 1) (- 1 x)) |
| 3.0ms | y | @ | 0 | ((/ (* (+ (* (/ x y) x) x) (- x 1)) (+ (* x x) -1)) (* (+ (* (/ x y) x) x) (- x 1)) (+ (* (/ x y) x) x) (/ x y) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* x x) (+ (* y x) y)) (* x x) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (- x 1) (- 1 x)) |
| 3.0ms | y | @ | inf | ((/ (* (+ (* (/ x y) x) x) (- x 1)) (+ (* x x) -1)) (* (+ (* (/ x y) x) x) (- x 1)) (+ (* (/ x y) x) x) (/ x y) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* x x) (+ (* y x) y)) (* x x) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (- x 1) (- 1 x)) |
| 2.0ms | x | @ | 0 | ((/ (* (+ (* (/ x y) x) x) (- x 1)) (+ (* x x) -1)) (* (+ (* (/ x y) x) x) (- x 1)) (+ (* (/ x y) x) x) (/ x y) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (- 1 (/ (- 1 x) y)) (/ (- 1 x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* x x) (+ (* y x) y)) (* x x) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (- x 1) (- 1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 1252 |
| 1 | 820 | 1144 |
| 2 | 2555 | 1033 |
| 0 | 8878 | 981 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1 (* x (- 1 (/ 1 y)))))) |
(* x (+ 1 (* x (+ (* -1 (- 1 (/ 1 y))) (* x (- 1 (/ 1 y))))))) |
(* x (+ 1 (* x (+ (* -1 (- 1 (/ 1 y))) (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))))))) |
(* -1 x) |
(* x (- (* x (- 1 (/ 1 y))) 1)) |
(* x (- (* x (- (+ 1 (/ x y)) (/ 1 y))) 1)) |
(* x (+ 1 (/ x y))) |
(/ x y) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(pow x 2) |
y |
(+ y (* x y)) |
1 |
(+ 1 (* x (- (/ 1 y) 1))) |
-1 |
(- x 1) |
(+ 1 (* -1 x)) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ (pow x 3) y) |
(* (pow x 3) (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* (pow x 3) (- (+ (/ 1 x) (/ 1 y)) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(* x y) |
(* x (+ y (/ y x))) |
(* (pow x 2) (- (/ 1 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- 1 (/ 1 x))) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(* -1 (* (pow x 3) (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (- (/ 1 y) 1)) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ (* (pow x 2) (- x 1)) (* y (- (pow x 2) 1))) |
(/ (+ (/ (* x (* y (- x 1))) (- (pow x 2) 1)) (/ (* (pow x 2) (- x 1)) (- (pow x 2) 1))) y) |
(/ (* (pow x 2) (- x 1)) y) |
(/ (+ (* x (* y (- x 1))) (* (pow x 2) (- x 1))) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (* x (- 1 (/ 1 x))) y) |
(/ (+ y (* x (- 1 (/ 1 x)))) y) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- 1 x) y) |
(* y (+ 1 x)) |
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y) |
(/ (+ x (* y (+ 1 (* -1 x)))) y) |
(/ (+ 1 (* -1 y)) y) |
(/ (* x (- x 1)) (- (pow x 2) 1)) |
(+ (/ (* x (- x 1)) (- (pow x 2) 1)) (/ (* (pow x 2) (- x 1)) (* y (- (pow x 2) 1)))) |
(* x (- x 1)) |
(+ (* x (- x 1)) (/ (* (pow x 2) (- x 1)) y)) |
(+ x (/ (pow x 2) y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ 1 (/ (* x (- 1 (/ 1 x))) y)) |
(* x (+ 1 (* -1 x))) |
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y)) |
(+ 1 (+ (* -1 x) (/ x y))) |
(- (/ 1 y) 1) |
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x))) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (* y (- (* -1 x) 1))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1 (* x (- 1 (/ 1 y)))))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* x (+ 1 (* x (+ (* -1 (- 1 (/ 1 y))) (* x (- 1 (/ 1 y))))))) |
(fma.f64 (*.f64 (-.f64 x (/.f64 x y)) x) (+.f64 #s(literal -1 binary64) x) x) |
(* x (+ 1 (* x (+ (* -1 (- 1 (/ 1 y))) (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* x (- 1 (/ 1 y))) 1)) |
(*.f64 (-.f64 (-.f64 x (/.f64 x y)) #s(literal 1 binary64)) x) |
(* x (- (* x (- (+ 1 (/ x y)) (/ 1 y))) 1)) |
(*.f64 (-.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(/ x y) |
(/.f64 x y) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (*.f64 (-.f64 x (/.f64 x y)) x) (+.f64 #s(literal -1 binary64) x) x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (*.f64 x x) (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x y)) x) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(*.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) y) (*.f64 x x)) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (-.f64 x #s(literal 1 binary64))) y) x (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
y |
(+ y (* x y)) |
(fma.f64 y x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (- (/ 1 y) 1))) |
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (/.f64 x y)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) x #s(literal 1 binary64)) |
(/ (pow x 3) y) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(* (pow x 3) (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (+ (/ 1 x) (/ 1 y)) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) y) x) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(* (pow x 2) (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 x y) x) x) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* x (- (/ 1 y) 1)) |
(-.f64 (/.f64 x y) x) |
(* x (- (+ (/ 1 x) (/ 1 y)) 1)) |
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))) |
(* x (- 1 (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* x (- (/ 1 x) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) x) x (/.f64 x y)) |
(* -1 (* (pow x 3) (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (- (/ 1 y) 1)) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(/.f64 x y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (/.f64 x y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ (pow (sqrt -1) 2) y)) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y))) x)) (/ (pow (sqrt -1) 2) y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y)) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/ (* (pow x 2) (- x 1)) (* y (- (pow x 2) 1))) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) y)) |
(/ (+ (/ (* x (* y (- x 1))) (- (pow x 2) 1)) (/ (* (pow x 2) (- x 1)) (- (pow x 2) 1))) y) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (/.f64 x y) x x)) |
(/ (* (pow x 2) (- x 1)) y) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 x y) x)) |
(/ (+ (* x (* y (- x 1))) (* (pow x 2) (- x 1))) y) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (/.f64 x y) x x)) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 (/.f64 x y) x x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 y x y))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
(/ (* x (- 1 (/ 1 x))) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x) |
(/ (+ y (* x (- 1 (/ 1 x)))) y) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(/ (+ x (* y (+ 1 (* -1 x)))) y) |
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))) |
(/ (+ 1 (* -1 y)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/ (* x (- x 1)) (- (pow x 2) 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) |
(+ (/ (* x (- x 1)) (- (pow x 2) 1)) (/ (* (pow x 2) (- x 1)) (* y (- (pow x 2) 1)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (/.f64 x y) x x)) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(+ (* x (- x 1)) (/ (* (pow x 2) (- x 1)) y)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (/.f64 x y) x x)) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (/ (* x (- 1 (/ 1 x))) y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64)) |
(* x (+ 1 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) x) |
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(+ 1 (+ (* -1 x) (/ x y))) |
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))) |
(- (/ 1 y) 1) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* -1 (/ (- 1 x) y))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 x) 1))) |
(*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 208 |
| 0 | 62 | 193 |
| 1 | 263 | 193 |
| 2 | 2040 | 193 |
| 0 | 8709 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
#s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(*.f64 x x) |
(fma.f64 y x y) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (/.f64 x y) x x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (/.f64 x y) x x)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (/.f64 x y) x x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (/.f64 x y) x x)) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (-.f64 (*.f64 (/.f64 x y) x) x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x y) x x)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 x (fma.f64 (/.f64 x y) x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (/.f64 x y) x x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (*.f64 (/.f64 x y) x) x)) |
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(/.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(expm1.f64 (neg.f64 (log.f64 y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(-.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(neg.f64 (-.f64 #s(literal 1 binary64) x)) |
(expm1.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (-.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
Compiled 16 846 to 2 092 computations (87.6% saved)
19 alts after pruning (14 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 513 | 10 | 523 |
| Fresh | 3 | 4 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 3 | 5 |
| Total | 521 | 19 | 540 |
| Status | Accuracy | Program |
|---|---|---|
| 47.4% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) (-.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| 43.1% | (/.f64 #s(approx (* (+ (* (/ x y) x) x) (- x 1)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) | |
| 38.1% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64))) | |
| ✓ | 21.6% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) (+.f64 x #s(literal 1 binary64))) |
| 32.3% | (*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) | |
| 36.4% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) | |
| 58.5% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x))) | |
| 42.2% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) | |
| ✓ | 42.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
| ✓ | 46.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| ✓ | 51.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
| 51.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x #s(approx (+ (* y x) y) (*.f64 (+.f64 (/.f64 y x) y) x))) x)) | |
| 25.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) | |
| 78.9% | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))) | |
| ✓ | 40.4% | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
| 3.1% | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (neg.f64 (/.f64 x y))) | |
| 49.1% | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))) | |
| 49.4% | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) | |
| 39.8% | #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
Compiled 1 418 to 485 computations (65.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (neg.f64 (/.f64 x y))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x #s(approx (+ (* y x) y) (*.f64 y x))) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(*.f64 #s(approx (/ x (+ 1 x)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (* (+ (* (/ x y) x) x) (- x 1)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x #s(approx (+ (* y x) y) (*.f64 (+.f64 (/.f64 y x) y) x))) x)) |
(/.f64 (*.f64 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
3 calls:
| 13.0ms | y |
| 11.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (neg.f64 (/.f64 x y))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x #s(approx (+ (* y x) y) (*.f64 y x))) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(*.f64 #s(approx (/ x (+ 1 x)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (* (+ (* (/ x y) x) x) (- x 1)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))) |
3 calls:
| 9.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 7.0ms | y |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 99.9% | 3 | x |
| 87.5% | 1 | y |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (neg.f64 (/.f64 x y))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x #s(approx (+ (* y x) y) (*.f64 y x))) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(*.f64 #s(approx (/ x (+ 1 x)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (* (+ (* (/ x y) x) x) (- x 1)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 (*.f64 x x) y)) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y) x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))) |
2 calls:
| 7.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 5 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 98.6% | 3 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (neg.f64 (/.f64 x y))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x #s(approx (+ (* y x) y) (*.f64 y x))) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(*.f64 #s(approx (/ x (+ 1 x)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (* (+ (* (/ x y) x) x) (- x 1)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (neg.f64 (/.f64 x y))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))) |
3 calls:
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 5 | y |
| 83.3% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 83.8% | 3 | x |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (neg.f64 (/.f64 x y))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (neg.f64 (/.f64 x y))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.7% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (neg.f64 (/.f64 x y))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.8% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 75.2% | 3 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (neg.f64 (/.f64 x y))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
2 calls:
| 4.0ms | x |
| 2.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.1% | 3 | x |
| 73.0% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (neg.f64 (/.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.0% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 73.0% | 3 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
| Outputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.2% | 1 | y |
| 42.2% | 1 | x |
| 42.2% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 13 to 12 computations (7.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
3 calls:
| 2.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.4% | 1 | x |
| 36.4% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 36.4% | 1 | y |
Compiled 13 to 12 computations (7.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 171429433344880.8 | 2375945714631666.5 |
| 16.0ms | -311379871574377860.0 | -7805468.851790053 |
| 15.0ms | 256× | 0 | valid |
Compiled 816 to 523 computations (35.9% saved)
ival-div: 4.0ms (46.6% of total)ival-add: 2.0ms (23.3% of total)ival-mult: 2.0ms (23.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.210034070040727e-9 | 3.9178895748670244 |
| 15.0ms | -16106.837689701833 | -0.0007864295571417114 |
| 18.0ms | 288× | 0 | valid |
Compiled 986 to 643 computations (34.8% saved)
ival-div: 4.0ms (40.8% of total)ival-add: 3.0ms (30.6% of total)ival-mult: 2.0ms (20.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.210034070040727e-9 | 3.9178895748670244 |
| 1.0ms | -16106.837689701833 | -0.0007864295571417114 |
Compiled 1 256 to 751 computations (40.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 171429433344880.8 | 2375945714631666.5 |
| 34.0ms | -7805468.851790053 | -16106.837689701833 |
| 30.0ms | 144× | 0 | valid |
Compiled 770 to 503 computations (34.7% saved)
ival-mult: 12.0ms (74.5% of total)ival-div: 2.0ms (12.4% of total)ival-add: 2.0ms (12.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 171429433344880.8 | 2375945714631666.5 |
| 1.0ms | -7805468.851790053 | -16106.837689701833 |
Compiled 770 to 503 computations (34.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 171429433344880.8 | 2375945714631666.5 |
| 2.0ms | -7805468.851790053 | -16106.837689701833 |
| 1.0ms | 16× | 0 | valid |
Compiled 840 to 545 computations (35.1% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.63232209594157e+18 | 3.830169786276607e+19 |
| 0.0ms | -89861219522167.6 | -1577968475954.5652 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.210034070040727e-9 | 3.9178895748670244 |
| 1.0ms | -16106.837689701833 | -0.0007864295571417114 |
Compiled 1 310 to 805 computations (38.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.2100340597364088e-9 | 0.7966607454729118 |
| 0.0ms | -89861219522167.6 | -1577968475954.5652 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 790 |
| 1 | 183 | 790 |
| 2 | 287 | 790 |
| 3 | 613 | 790 |
| 4 | 1454 | 790 |
| 5 | 3075 | 790 |
| 6 | 4419 | 790 |
| 7 | 4803 | 790 |
| 8 | 5187 | 742 |
| 9 | 5973 | 742 |
| 10 | 7660 | 742 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(if (<=.f64 x #s(literal -490000000000000 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) (if (<=.f64 x #s(literal 200000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 x #s(literal -98000 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (if (<=.f64 x #s(literal 175000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 x #s(literal -98000 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (if (<=.f64 x #s(literal 175000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))) |
(if (<=.f64 x #s(literal -105000 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) (if (<=.f64 x #s(literal 175000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -50000000000000 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 5000000000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -50000000000000 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(if (<=.f64 x #s(literal -490000000000000 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) (if (<=.f64 x #s(literal 200000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 x #s(literal -490000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) (if (<=.f64 x #s(literal 200000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 x #s(literal -98000 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (if (<=.f64 x #s(literal 175000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 x #s(literal -98000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (if (<=.f64 x #s(literal 175000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 x #s(literal -98000 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) (if (<=.f64 x #s(literal 175000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))) |
(if (or (<=.f64 x #s(literal -98000 binary64)) (not (<=.f64 x #s(literal 175000000000000 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal -105000 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) (if (<=.f64 x #s(literal 175000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))))) |
(if (or (<=.f64 x #s(literal -105000 binary64)) (not (<=.f64 x #s(literal 175000000000000 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (-.f64 #s(literal 1 binary64) #s(approx (/ (- 1 x) y) (/.f64 (neg.f64 x) y))))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -50000000000000 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 5000000000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -50000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 5000000000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (- 1 (/ (- 1 x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))) |
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) #s(approx (+ (* (/ (- 1 (/ 1 x)) y) x) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -50000000000000 binary64)) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) #s(approx (/ (* x (+ (* (sqrt (/ x y)) (sqrt (/ x y))) 1)) (+ x 1)) (/.f64 x y)))) |
(if (or (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -50000000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 1252 |
| 1 | 820 | 1144 |
| 2 | 2555 | 1033 |
| 0 | 8878 | 981 |
| 0 | 90 | 321 |
| 1 | 253 | 304 |
| 2 | 674 | 291 |
| 3 | 3720 | 289 |
| 0 | 8258 | 273 |
| 0 | 245 | 1090 |
| 1 | 744 | 1013 |
| 2 | 2188 | 949 |
| 0 | 8514 | 914 |
| 0 | 8 | 29 |
| 0 | 13 | 29 |
| 1 | 55 | 29 |
| 2 | 373 | 29 |
| 3 | 3922 | 29 |
| 0 | 8666 | 27 |
| 0 | 153 | 574 |
| 1 | 471 | 519 |
| 2 | 1470 | 491 |
| 3 | 6837 | 483 |
| 0 | 8291 | 461 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 497 to 527 computations (64.8% saved)
Compiled 1 644 to 254 computations (84.5% saved)
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