
Time bar (total: 7.0s)
| 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)
| 664.0ms | 8 256× | 0 | valid |
ival-div: 178.0ms (39.5% of total)ival-add: 157.0ms (34.8% of total)ival-mult: 100.0ms (22.2% of total)ival-true: 6.0ms (1.3% of total)exact: 5.0ms (1.1% of total)ival-assert: 3.0ms (0.7% of total)adjust: 2.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 32 | 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 | 32 | 0 |
| ↳ | (/.f64 x y) | overflow | 39 | |
| ↳ | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | overflow | 71 | |
| ↳ | (+.f64 (/.f64 x y) #s(literal 1 binary64)) | overflow | 39 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 32 | 0 |
| - | 0 | 224 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 32 | 0 | 0 |
| - | 0 | 0 | 224 |
| number | freq |
|---|---|
| 0 | 224 |
| 1 | 32 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 54.0ms | 512× | 0 | valid |
Compiled 79 to 28 computations (64.6% saved)
ival-mult: 26.0ms (65.6% of total)ival-div: 7.0ms (17.6% of total)ival-add: 5.0ms (12.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | 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 |
|---|---|---|
| ▶ | 88.2% | (/.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 | 0.0625 | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 7.539931916228517 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 52.0ms | 256× | 0 | valid |
Compiled 34 to 10 computations (70.6% saved)
ival-mult: 6.0ms (49.4% of total)ival-div: 4.0ms (32.9% of total)ival-add: 2.0ms (16.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 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 | |
|---|---|---|---|---|
| 2.0ms | 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)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 345 | 9 | 354 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 346 | 9 | 355 |
| Status | Accuracy | Program |
|---|---|---|
| 60.6% | (/.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))) | |
| ▶ | 88.2% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 64.0% | (/.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))) |
| 88.2% | (/.f64 (*.f64 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| 39.9% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) | |
| ▶ | 100.0% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| ▶ | 50.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| ▶ | 52.0% | #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)) |
| 45.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
Compiled 304 to 198 computations (34.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) | |
| cost-diff | 9 | (/.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))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| 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 | 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 (+ (/ 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)) | |
| 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 | 32 | 197 |
| 0 | 54 | 185 |
| 1 | 106 | 185 |
| 2 | 202 | 185 |
| 3 | 560 | 185 |
| 4 | 1877 | 185 |
| 5 | 4581 | 185 |
| 6 | 7623 | 185 |
| 0 | 9180 | 185 |
| 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)) |
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) |
#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 |
(/.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) |
(/.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 (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)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
| 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 x #s(literal -1 binary64))) |
(/.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)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
x |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#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 |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 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)) |
(+.f64 #s(literal 1 binary64) 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 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
(*.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)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.19207001953688405 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) | |
| accuracy | 0.504635333226601 | (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) | |
| accuracy | 21.104362574211414 | (/.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))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.05859375 | (fma.f64 (/.f64 x y) x x) | |
| accuracy | 7.539931916228517 | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) | |
| accuracy | 0.03125 | (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) | |
| accuracy | 0.078125 | (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 30.70795242308624 | #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)) | |
| accuracy | 0.0 | (-.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (/.f64 x (-.f64 x #s(literal -1 binary64))) | |
| accuracy | 31.619808884515276 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.00390625 | (+.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| accuracy | 0.01953125 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| 110.0ms | 256× | 0 | valid |
Compiled 186 to 32 computations (82.8% saved)
ival-mult: 42.0ms (45.1% of total)ival-add: 32.0ms (34.4% of total)ival-div: 11.0ms (11.8% of total)ival-sub: 5.0ms (5.4% of total)ival-pow2: 3.0ms (3.2% of total)adjust: 0.0ms (0% 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)) |
#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 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
(+.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 (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)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
| 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)) |
(+ 1 (* x (- (/ 1 y) 1))) |
(* x (+ 1 (/ x y))) |
(/ x y) |
(* x (+ 1 (* x (- (* x (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(* x (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* (- (/ 1 y) 1) (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2)))))) (* -1 (/ (- (/ 1 y) 1) y))))) (/ 1 y)) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(* -1 x) |
(* x (- (/ (pow x 2) (pow y 2)) 1)) |
-1 |
(- (/ (pow x 2) (pow y 2)) 1) |
(/ (pow x 2) (pow y 2)) |
(- (* x (- (/ 1 y) 1)) 1) |
(- (* x (- (+ (/ 1 y) (/ x y)) 1)) 1) |
(* 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 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (+ (/ 1 x) (/ 1 y)) 1)) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ (+ (* -1 (* y (- 1 (/ 1 y)))) (* y (* (- (+ 1 (* -1 y)) (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))) (- (/ 1 y) 1)))) (pow x 3))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2)))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(/ (pow x 3) (pow y 2)) |
(* (pow x 3) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 1 (* x y))) (/ 1 x))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 1 (* x y))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* -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 (- (* -1 (- (/ 1 y) 1)) (/ 1 x)))) |
(* -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 (/ (- (+ 1 (* -1 (/ (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (* (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) (- (/ 1 y) 1))) x)) (* -1 (/ (* y (- 1 (/ 1 y))) x)))) (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (/ 1 x)) x)) (/ 1 y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ x y) y) |
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y) |
(/ (+ x (* y (+ 1 (* -1 x)))) y) |
(/ 1 y) |
(/ (+ 1 (* -1 y)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* -1 (* x (pow y 2))) (pow x 3)) (pow y 2)) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(/ (* x (+ 1 x)) y) |
(/ (+ (* -1 (* y (+ 1 x))) (* x (+ 1 x))) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y)) |
(+ 1 (* -1 x)) |
(+ 1 (+ (* -1 x) (/ x y))) |
(- (/ 1 y) 1) |
(+ x (/ (pow x 2) y)) |
(+ (* -1 x) (/ (pow x 3) (pow y 2))) |
(* -1 (+ 1 x)) |
(+ (* -1 (+ 1 x)) (/ (* x (+ 1 x)) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | 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)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* (- (pow (/ x y) 2) 1) x) (* (- (/ x y) 1) (+ 1 x))) (* (- (pow (/ x y) 2) 1) x) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (* (- (/ x y) 1) (+ 1 x))) |
| 5.0ms | 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)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* (- (pow (/ x y) 2) 1) x) (* (- (/ x y) 1) (+ 1 x))) (* (- (pow (/ x y) 2) 1) x) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (* (- (/ x y) 1) (+ 1 x))) |
| 4.0ms | 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)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* (- (pow (/ x y) 2) 1) x) (* (- (/ x y) 1) (+ 1 x))) (* (- (pow (/ x y) 2) 1) x) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (* (- (/ x y) 1) (+ 1 x))) |
| 4.0ms | 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)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* (- (pow (/ x y) 2) 1) x) (* (- (/ x y) 1) (+ 1 x))) (* (- (pow (/ x y) 2) 1) x) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (* (- (/ x y) 1) (+ 1 x))) |
| 3.0ms | 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)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* (- (pow (/ x y) 2) 1) x) (* (- (/ x y) 1) (+ 1 x))) (* (- (pow (/ x y) 2) 1) x) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (* (- (/ x y) 1) (+ 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 273 | 1184 |
| 1 | 833 | 1123 |
| 2 | 2682 | 1037 |
| 0 | 8662 | 1000 |
| 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)) |
(+ 1 (* x (- (/ 1 y) 1))) |
(* x (+ 1 (/ x y))) |
(/ x y) |
(* x (+ 1 (* x (- (* x (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(* x (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* (- (/ 1 y) 1) (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2)))))) (* -1 (/ (- (/ 1 y) 1) y))))) (/ 1 y)) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(* -1 x) |
(* x (- (/ (pow x 2) (pow y 2)) 1)) |
-1 |
(- (/ (pow x 2) (pow y 2)) 1) |
(/ (pow x 2) (pow y 2)) |
(- (* x (- (/ 1 y) 1)) 1) |
(- (* x (- (+ (/ 1 y) (/ x y)) 1)) 1) |
(* 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 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (+ (/ 1 x) (/ 1 y)) 1)) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ (+ (* -1 (* y (- 1 (/ 1 y)))) (* y (* (- (+ 1 (* -1 y)) (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))) (- (/ 1 y) 1)))) (pow x 3))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2)))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(/ (pow x 3) (pow y 2)) |
(* (pow x 3) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 1 (* x y))) (/ 1 x))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 1 (* x y))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* -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 (- (* -1 (- (/ 1 y) 1)) (/ 1 x)))) |
(* -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 (/ (- (+ 1 (* -1 (/ (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (* (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) (- (/ 1 y) 1))) x)) (* -1 (/ (* y (- 1 (/ 1 y))) x)))) (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (/ 1 x)) x)) (/ 1 y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ x y) y) |
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y) |
(/ (+ x (* y (+ 1 (* -1 x)))) y) |
(/ 1 y) |
(/ (+ 1 (* -1 y)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* -1 (* x (pow y 2))) (pow x 3)) (pow y 2)) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(/ (* x (+ 1 x)) y) |
(/ (+ (* -1 (* y (+ 1 x))) (* x (+ 1 x))) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y)) |
(+ 1 (* -1 x)) |
(+ 1 (+ (* -1 x) (/ x y))) |
(- (/ 1 y) 1) |
(+ x (/ (pow x 2) y)) |
(+ (* -1 x) (/ (pow x 3) (pow y 2))) |
(* -1 (+ 1 x)) |
(+ (* -1 (+ 1 x)) (/ (* x (+ 1 x)) y)) |
| Outputs |
|---|
x |
(* 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 (fma.f64 (-.f64 x (/.f64 x y)) x (-.f64 (/.f64 x y) x)) x x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 x y) x) x (-.f64 x (/.f64 x y))) x (-.f64 (/.f64 x y) x)) x 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)))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 x) x (-.f64 x #s(literal 1 binary64))) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (* x (- (/ 1 y) 1))) |
(+.f64 (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(/ x y) |
(/.f64 x y) |
(* x (+ 1 (* x (- (* x (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) |
(* x (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* (- (/ 1 y) 1) (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2)))))) (* -1 (/ (- (/ 1 y) 1) y))))) (/ 1 y)) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (pow x 2) (pow y 2)) 1)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) |
-1 |
#s(literal -1 binary64) |
(- (/ (pow x 2) (pow y 2)) 1) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(- (* x (- (/ 1 y) 1)) 1) |
(-.f64 (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) |
(- (* x (- (+ (/ 1 y) (/ x y)) 1)) 1) |
(-.f64 (*.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(* 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 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) 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 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x))) 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 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (/.f64 #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 #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 #s(literal 1 binary64) (/.f64 x y)) |
(* (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 (-.f64 (/.f64 x y) 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 (/ y (pow x 2))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) x) (/.f64 #s(literal 1 binary64) y)) x)) x) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ (+ (* -1 (* y (- 1 (/ 1 y)))) (* y (* (- (+ 1 (* -1 y)) (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))) (- (/ 1 y) 1)))) (pow x 3))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2)))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x))) (/.f64 (*.f64 y (-.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 y) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) x) (/.f64 #s(literal 1 binary64) y)) x)) x) |
(/ (pow x 3) (pow y 2)) |
(/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x x)) |
(* (pow x 2) (- (+ (/ 1 y) (/ 1 (* x y))) (/ 1 x))) |
(*.f64 x (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) x (/.f64 x y))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 1 (* x y))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (*.f64 x x)) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (-.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)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (-.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)) (neg.f64 x)) |
(+ 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 (- (* -1 (- (/ 1 y) 1)) (/ 1 x)))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.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)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (fma.f64 (fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (* (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) (- (/ 1 y) 1))) x)) (* -1 (/ (* y (- 1 (/ 1 y))) x)))) (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 (-.f64 y (fma.f64 (fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) x) (-.f64 y (fma.f64 (fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (/ 1 x)) x)) (/ 1 y))) |
(fma.f64 (/.f64 x y) x (/.f64 (fma.f64 (-.f64 (/.f64 x y) x) x (neg.f64 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 y) y) |
(+.f64 #s(literal 1 binary64) (/.f64 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 (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* -1 y)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 (/.f64 x y) x x) |
(/ (+ (* -1 (* x (pow y 2))) (pow x 3)) (pow y 2)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(/ (* x (+ 1 x)) y) |
(/.f64 (fma.f64 x x x) y) |
(/ (+ (* -1 (* y (+ 1 x))) (* x (+ 1 x))) y) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) (-.f64 x y)) |
(/ 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 (+ 1 (* -1 x))) (/ (pow x 2) y)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (+ (* -1 x) (/ x y))) |
(+.f64 (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) |
(- (/ 1 y) 1) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(+ (* -1 x) (/ (pow x 3) (pow y 2))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) |
(* -1 (+ 1 x)) |
(-.f64 #s(literal -1 binary64) x) |
(+ (* -1 (+ 1 x)) (/ (* x (+ 1 x)) y)) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y) (-.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 165 |
| 0 | 54 | 153 |
| 1 | 218 | 153 |
| 2 | 1625 | 153 |
| 0 | 8183 | 149 |
| 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)) |
#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 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
(+.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 (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)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 (*.f64 (/.f64 x y) x) x)) (/.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 (/.f64 x (+.f64 #s(literal 1 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)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #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)) (neg.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.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 x) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 x (-.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)) #s(literal 1 binary64)) (/.f64 (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.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)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 (*.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 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (/.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 (/.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (neg.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 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
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(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) |
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(fma.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 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)) x)) |
(fma.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.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 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (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 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.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 (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.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 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 (/.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.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 y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.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 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)))) |
(-.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(-.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))) x)) |
(+.f64 (/.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x))))) (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)))))) |
(+.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(+.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
Compiled 31 072 to 3 422 computations (89% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 009 | 8 | 1 017 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 013 | 13 | 1 026 |
| Status | Accuracy | Program |
|---|---|---|
| 60.6% | (/.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))) | |
| ✓ | 88.2% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| 64.0% | (/.f64 (*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 39.9% | (/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
| ✓ | 100.0% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| 45.0% | (*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) | |
| ✓ | 50.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| ▶ | 52.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x)) |
| 45.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) | |
| 19.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) | |
| ▶ | 40.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
| ▶ | 52.0% | #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))) |
| ▶ | 73.9% | #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))) |
Compiled 520 to 317 computations (39% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (-.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (fma.f64 (-.f64 (/.f64 x y) x) x x) | |
| cost-diff | 0 | #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 x (+.f64 y x)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) | |
| cost-diff | 0 | #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 287 |
| 0 | 62 | 287 |
| 1 | 109 | 287 |
| 2 | 208 | 287 |
| 3 | 536 | 271 |
| 4 | 1449 | 271 |
| 5 | 3540 | 271 |
| 6 | 6701 | 271 |
| 0 | 8174 | 269 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))) |
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
(*.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(fma.f64 y x y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x) |
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#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 (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(-.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x) |
(fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) |
#s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
#s(approx (+ (* (/ x y) x) x) (*.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) |
| Outputs |
|---|
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))) |
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
(*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) |
(*.f64 x (+.f64 y x)) |
(*.f64 (+.f64 y x) x) |
x |
(+.f64 y x) |
y |
(fma.f64 y x y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x) |
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#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 (+ 1 x)) (+ 1 (/ x y))) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x))) |
#s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(-.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (fma.f64 (*.f64 x x) #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) |
#s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (/ x y) x) x) (*.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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.125 | (*.f64 (/.f64 x y) x) | |
| accuracy | 7.539931916228517 | (/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 30.952390673570527 | #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) | |
| accuracy | 0.03125 | (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x) | |
| accuracy | 0.078125 | (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) | |
| accuracy | 30.70795242308624 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x)) | |
| accuracy | 32.84353923540225 | #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0 | #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x)) | |
| accuracy | 0.015625 | (-.f64 (/.f64 x y) x) | |
| accuracy | 0.02734375 | (fma.f64 (-.f64 (/.f64 x y) x) x x) | |
| accuracy | 30.70795242308624 | #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))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.03125 | (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x) | |
| accuracy | 24.3645253348931 | #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 30.70795242308624 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0 | #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))) | |
| accuracy | 0.01171875 | (*.f64 x (+.f64 y x)) | |
| accuracy | 16.41366086735057 | (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
| 89.0ms | 256× | 0 | valid |
Compiled 190 to 31 computations (83.7% saved)
ival-mult: 34.0ms (46.4% of total)ival-div: 21.0ms (28.7% of total)ival-add: 15.0ms (20.5% of total)ival-sub: 4.0ms (5.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))) |
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
(*.f64 x (+.f64 y x)) |
(+.f64 y x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x) |
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#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 (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(-.f64 (/.f64 x y) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x) |
(fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) |
#s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
#s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) x) |
(/.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 y) |
(* x (+ x y)) |
y |
(+ x y) |
1 |
(+ 1 (* x (- (/ 1 y) 1))) |
(+ 1 (* -1 x)) |
(* x (- (/ 1 y) 1)) |
(* x (+ 1 (/ x y))) |
(/ (pow x 2) y) |
(/ x y) |
(+ 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 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* (pow x 2) (- (/ 1 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* (pow x 2) (+ (/ 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)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* -1 (* x (- 1 (/ 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)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(+ (* x y) (pow x 2)) |
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y) |
(/ (+ x (* y (+ 1 (* -1 x)))) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ 1 y) |
(/ (+ 1 (* -1 y)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ 1 (/ x y))) |
(* x (+ 1 (* -1 x))) |
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y)) |
(+ 1 (+ (* -1 x) (/ x y))) |
(+ x (* -1 (pow x 2))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(- (/ x y) x) |
-1 |
(- (/ 1 y) 1) |
(+ x (/ (pow x 2) y)) |
(* -1 (/ x (- (* -1 x) 1))) |
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (+ y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (* (/ x y) x) (/ x y) (+ x 1)) |
| 3.0ms | y | @ | -inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (+ y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (* (/ x y) x) (/ x y) (+ x 1)) |
| 2.0ms | x | @ | inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (+ y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (* (/ x y) x) (/ x y) (+ x 1)) |
| 2.0ms | y | @ | inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (+ y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (* (/ x y) x) (/ x y) (+ x 1)) |
| 2.0ms | y | @ | 0 | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (+ y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (* (/ x y) x) (/ x y) (+ x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 667 |
| 1 | 542 | 640 |
| 2 | 1467 | 604 |
| 3 | 5826 | 582 |
| 0 | 8572 | 559 |
| 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 y) |
(* x (+ x y)) |
y |
(+ x y) |
1 |
(+ 1 (* x (- (/ 1 y) 1))) |
(+ 1 (* -1 x)) |
(* x (- (/ 1 y) 1)) |
(* x (+ 1 (/ x y))) |
(/ (pow x 2) y) |
(/ x y) |
(+ 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 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* (pow x 2) (- (/ 1 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* (pow x 2) (+ (/ 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)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* -1 (* x (- 1 (/ 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)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(+ (* x y) (pow x 2)) |
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y) |
(/ (+ x (* y (+ 1 (* -1 x)))) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ 1 y) |
(/ (+ 1 (* -1 y)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ 1 (/ x y))) |
(* x (+ 1 (* -1 x))) |
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y)) |
(+ 1 (+ (* -1 x) (/ x y))) |
(+ x (* -1 (pow x 2))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(- (/ x y) x) |
-1 |
(- (/ 1 y) 1) |
(+ x (/ (pow x 2) y)) |
(* -1 (/ x (- (* -1 x) 1))) |
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
x |
(* 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 (fma.f64 (-.f64 x (/.f64 x y)) x (-.f64 (/.f64 x y) x)) x x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 x y) x) x (-.f64 x (/.f64 x y))) x (-.f64 (/.f64 x y) x)) x x) |
(* x y) |
(*.f64 y x) |
(* x (+ x y)) |
(*.f64 (+.f64 y x) x) |
y |
(+ x y) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (- (/ 1 y) 1))) |
(-.f64 (-.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 y) 1)) |
(-.f64 (/.f64 x y) x) |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(* 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)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(+.f64 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 x) (/ 1 y)) 1)) |
(-.f64 (-.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (-.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)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (-.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)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x)))) |
(*.f64 (-.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(*.f64 (neg.f64 (-.f64 x (/.f64 x y))) x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(neg.f64 (-.f64 x (/.f64 x y))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.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)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 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 (+.f64 y x) (/.f64 x (fma.f64 y x y))) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(/ (+ (* 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 (-.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(/ (+ x (* -1 (* x y))) y) |
(-.f64 (/.f64 x y) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* -1 y)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/ (+ (* 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 (+.f64 y x) (/.f64 x (fma.f64 y x y))) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 (+.f64 y x) x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* 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 (-.f64 (/.f64 x y) x) #s(literal -1 binary64)) |
(+ x (* -1 (pow x 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) x) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(- (/ x y) x) |
(-.f64 (/.f64 x y) x) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 y) 1) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(* -1 (/ x (- (* -1 x) 1))) |
(/.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))) |
(*.f64 (/.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 (+.f64 y x) x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 265 |
| 0 | 62 | 265 |
| 1 | 245 | 265 |
| 2 | 1813 | 265 |
| 0 | 8349 | 245 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))) |
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
(*.f64 x (+.f64 y x)) |
(+.f64 y x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x) |
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#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 (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(-.f64 (/.f64 x y) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x) |
(fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) |
#s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
#s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) x)) (/.f64 x y)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 y x) y)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y x y)) x) |
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 y x) y)) |
(*.f64 x (/.f64 (+.f64 y x) (fma.f64 y x y))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y x) (fma.f64 y x y)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 y x) (fma.f64 y x y)) (/.f64 (*.f64 y x) (fma.f64 y x y)) (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 y x y)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 y x y)) (/.f64 (*.f64 x x) (fma.f64 y x y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y x y))))) |
(/.f64 (fma.f64 (*.f64 y x) (neg.f64 y) (*.f64 (fma.f64 y x y) (*.f64 (neg.f64 x) (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 (fma.f64 y x y) (neg.f64 y))) |
(/.f64 (fma.f64 (*.f64 y x) y (*.f64 (fma.f64 y x y) (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 (fma.f64 y x y) y)) |
(/.f64 (fma.f64 (*.f64 y x) (neg.f64 y) (*.f64 (fma.f64 y x y) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) (*.f64 (fma.f64 y x y) (neg.f64 y))) |
(/.f64 (fma.f64 (*.f64 y x) y (*.f64 (fma.f64 y x y) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x))) (*.f64 (fma.f64 y x y) y)) |
(/.f64 (fma.f64 (*.f64 y x) (neg.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 y x y) (*.f64 (/.f64 x y) (neg.f64 x)))) (*.f64 (fma.f64 y x y) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 y x) (neg.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 y x y) (*.f64 (neg.f64 x) (/.f64 x y)))) (*.f64 (fma.f64 y x y) (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 y x) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 y x y) (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 y x y) (*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 y x) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) y) (*.f64 (fma.f64 y x y) (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 y x y) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) y))) |
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (neg.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 y x y) (*.f64 x (neg.f64 x)))) (*.f64 (fma.f64 y x y) (*.f64 y (neg.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 (*.f64 y x) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 y)) (*.f64 (fma.f64 y x y) (*.f64 x (neg.f64 x)))) (*.f64 (fma.f64 y x y) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 y)))) |
(/.f64 (fma.f64 (*.f64 y x) (*.f64 (neg.f64 y) (neg.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 y x y) (*.f64 x x))) (*.f64 (fma.f64 y x y) (*.f64 (neg.f64 y) (neg.f64 (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 y x y) (*.f64 x x))) (*.f64 (fma.f64 y x y) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 y x) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 y)) (*.f64 (fma.f64 y x y) (*.f64 x x))) (*.f64 (fma.f64 y x y) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 y)))) |
(/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x y) (*.f64 (fma.f64 y x y) (*.f64 x x))) (*.f64 (fma.f64 y x y) (fma.f64 y x y))) |
(/.f64 (fma.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 y x y) (*.f64 (/.f64 x y) x))) (*.f64 (fma.f64 y x y) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x))) (neg.f64 (neg.f64 (fma.f64 y x y)))) |
(/.f64 (*.f64 (neg.f64 x) (+.f64 y x)) (neg.f64 (fma.f64 y x y))) |
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 y x)) (fma.f64 y x y))) |
(neg.f64 (/.f64 (*.f64 (+.f64 y x) x) (neg.f64 (fma.f64 y x y)))) |
(fma.f64 (/.f64 (fabs.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (fabs.f64 x) (neg.f64 y)) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(fma.f64 (/.f64 (/.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(fma.f64 (/.f64 (/.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 x (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) x)) (/.f64 x y) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(fma.f64 (/.f64 (fabs.f64 x) (neg.f64 y)) (/.f64 (fabs.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(fma.f64 (/.f64 (fabs.f64 x) y) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(fma.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (fabs.f64 x) y) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(fma.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(fma.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (/.f64 x y) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(fma.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 x) y) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(fma.f64 (/.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 x (neg.f64 y)) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(fma.f64 (/.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 y y) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 x y) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(-.f64 (/.f64 (*.f64 y x) (fma.f64 y x y)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 y x y))) |
(+.f64 (/.f64 (*.f64 y x) (fma.f64 y x y)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(+.f64 (/.f64 (*.f64 x x) (fma.f64 y x y)) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(*.f64 (+.f64 y x) x) |
(*.f64 x (+.f64 y x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) x)) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y x) (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) x) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 y x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y x) (*.f64 x x))))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 y x)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 y x)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 y x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y x)) |
(fma.f64 y x (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 y x)) |
(fma.f64 x y (*.f64 x x)) |
(fma.f64 x x (*.f64 y x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 y x) (*.f64 x x)))) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 x) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y x) (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y x) (*.f64 x x)))))) |
(+.f64 (*.f64 x x) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 x x)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 y x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 y x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 x #s(literal 1 binary64) y) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x))) |
(+.f64 y x) |
(+.f64 x y) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x) |
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.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 (+.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #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 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #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 (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 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (pow.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 -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 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.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 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.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 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 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))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (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 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.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))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(fma.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 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #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 (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 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 13 122 to 1 473 computations (88.8% saved)
16 alts after pruning (9 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 337 | 4 | 341 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 338 | 16 | 354 |
| Status | Accuracy | Program |
|---|---|---|
| 60.6% | (/.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))) | |
| ✓ | 88.2% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 64.0% | (/.f64 (*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
| ✓ | 39.9% | (/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
| ✓ | 100.0% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| 45.0% | (*.f64 #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) | |
| ✓ | 50.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| ✓ | 52.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x)) |
| ▶ | 45.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
| ▶ | 19.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) |
| ✓ | 40.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
| 8.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x)) | |
| ▶ | 36.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
| ✓ | 52.0% | #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))) |
| 37.8% | #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 #s(approx (* x (+ y x)) (*.f64 x x)) (fma.f64 y x y))) | |
| ▶ | 76.0% | #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))) |
Compiled 580 to 353 computations (39.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 1 | (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) | |
| 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 (/.f64 x y) x) | |
| cost-diff | 0 | #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) | |
| cost-diff | 0 | #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 y x y)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))) | |
| cost-diff | 0 | #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 303 |
| 0 | 61 | 299 |
| 1 | 122 | 299 |
| 2 | 249 | 299 |
| 3 | 656 | 287 |
| 4 | 1791 | 283 |
| 5 | 3907 | 283 |
| 6 | 6497 | 283 |
| 0 | 8063 | 283 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))) |
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))) |
(+.f64 y x) |
y |
x |
(/.f64 x (fma.f64 y x y)) |
(fma.f64 y x y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x) |
#s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) |
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x) |
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) |
(-.f64 (/.f64 x y) x) |
(/.f64 x y) |
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)) |
x |
(fma.f64 y x y) |
y |
(/.f64 (*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) |
#s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -1 binary64) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))) |
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))) |
(*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(/.f64 x (fma.f64 y x y)) |
(fma.f64 y x y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x) |
#s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) |
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x) |
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) |
(-.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.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 (*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (/.f64 #s(approx (- (pow (/ x y) 2) 1) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) x) |
(*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) |
(*.f64 #s(approx (- (pow (/ x y) 2) 1) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) x) |
#s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) |
#s(approx (- (pow (/ x y) 2) 1) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -1 binary64) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.046875 | (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.07650375976844201 | (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) | |
| accuracy | 0.504635333226601 | (*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) | |
| accuracy | 21.104362574211414 | (/.f64 (*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0 | (fma.f64 y x y) | |
| accuracy | 0.16015625 | (*.f64 (/.f64 x (fma.f64 y x y)) x) | |
| accuracy | 8.533443307263301 | (/.f64 x (fma.f64 y x y)) | |
| accuracy | 30.91031144004567 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) | |
| accuracy | 0.015625 | (-.f64 (/.f64 x y) x) | |
| accuracy | 0.03125 | (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x) | |
| accuracy | 21.762252123112166 | #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) | |
| accuracy | 30.70795242308624 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) | |
| accuracy | 0.03125 | (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x) | |
| accuracy | 30.70795242308624 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) | |
| accuracy | 41.116506916915895 | #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0 | #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))) | |
| accuracy | 6.596438092903219 | (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))) | |
| accuracy | 8.533443307263301 | (/.f64 x (fma.f64 y x y)) |
| 78.0ms | 256× | 0 | valid |
Compiled 217 to 35 computations (83.9% saved)
ival-add: 18.0ms (34.3% of total)ival-mult: 16.0ms (30.5% of total)ival-div: 10.0ms (19.1% of total)ival-sub: 5.0ms (9.5% of total)ival-pow2: 3.0ms (5.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))) |
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))) |
(+.f64 y x) |
(/.f64 x (fma.f64 y x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x) |
#s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) |
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x) |
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) |
(-.f64 (/.f64 x y) x) |
#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) |
(fma.f64 y x y) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) |
#s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
| 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)))) |
y |
(+ x y) |
(/ x 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))) |
1 |
(+ 1 (* x (- (/ 1 y) 1))) |
(* x (- (/ 1 y) 1)) |
(/ (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))) |
(+ y (* x y)) |
-1 |
(- (/ (pow x 2) (pow y 2)) 1) |
(* x (+ 1 (* x (- (* x (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(* x (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* (- (/ 1 y) 1) (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2)))))) (* -1 (/ (- (/ 1 y) 1) y))))) (/ 1 y)) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(* -1 x) |
(* x (- (/ (pow x 2) (pow y 2)) 1)) |
(- (* x (- (/ 1 y) 1)) 1) |
(- (* x (- (+ (/ 1 y) (/ x y)) 1)) 1) |
(* 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 x))) |
(/ 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)))) |
(* (pow x 2) (- (/ 1 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* 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) (pow y 2)) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ (+ (* -1 (* y (- 1 (/ 1 y)))) (* y (* (- (+ 1 (* -1 y)) (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))) (- (/ 1 y) 1)))) (pow x 3))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2)))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(/ (pow x 3) (pow y 2)) |
(* (pow x 3) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 1 (* x y))) (/ 1 x))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 1 (* x y))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* -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 (/ y x)) 1))) |
(+ (* -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 (- (/ 1 y) 1)) (/ 1 x)))) |
(* -1 (* x (- 1 (/ 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 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (* (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) (- (/ 1 y) 1))) x)) (* -1 (/ (* y (- 1 (/ 1 y))) x)))) (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (/ 1 x)) x)) (/ 1 y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x (* y (+ 1 x))) |
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y) |
(/ (+ x (* y (+ 1 (* -1 x)))) y) |
(/ (+ x (* -1 (* x y))) y) |
(* y (+ 1 x)) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(/ (+ (* -1 (* x (pow y 2))) (pow x 3)) (pow y 2)) |
(/ (* x (+ 1 x)) y) |
(/ (+ (* -1 (* y (+ 1 x))) (* x (+ 1 x))) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(* y (+ 1 (/ x y))) |
(* x (+ 1 (* -1 x))) |
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y)) |
(+ 1 (* -1 x)) |
(+ 1 (+ (* -1 x) (/ x y))) |
(- (/ x y) x) |
(+ (* -1 x) (/ (pow x 3) (pow y 2))) |
(* -1 (+ 1 x)) |
(+ (* -1 (+ 1 x)) (/ (* x (+ 1 x)) y)) |
(* -1 (/ x (- (* -1 x) 1))) |
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (* y (- (* -1 x) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (+ (* y x) y) (+ (* (/ x y) (/ x y)) -1) (/ (* (- (pow (/ x y) 2) 1) x) (* (- (/ x y) 1) (+ 1 x))) (* (- (pow (/ x y) 2) 1) x) (- (pow (/ x y) 2) 1) (* (- (/ x y) 1) (+ 1 x))) |
| 3.0ms | x | @ | -inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (+ (* y x) y) (+ (* (/ x y) (/ x y)) -1) (/ (* (- (pow (/ x y) 2) 1) x) (* (- (/ x y) 1) (+ 1 x))) (* (- (pow (/ x y) 2) 1) x) (- (pow (/ x y) 2) 1) (* (- (/ x y) 1) (+ 1 x))) |
| 2.0ms | y | @ | 0 | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (+ (* y x) y) (+ (* (/ x y) (/ x y)) -1) (/ (* (- (pow (/ x y) 2) 1) x) (* (- (/ x y) 1) (+ 1 x))) (* (- (pow (/ x y) 2) 1) x) (- (pow (/ x y) 2) 1) (* (- (/ x y) 1) (+ 1 x))) |
| 2.0ms | y | @ | inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (+ (* y x) y) (+ (* (/ x y) (/ x y)) -1) (/ (* (- (pow (/ x y) 2) 1) x) (* (- (/ x y) 1) (+ 1 x))) (* (- (pow (/ x y) 2) 1) x) (- (pow (/ x y) 2) 1) (* (- (/ x y) 1) (+ 1 x))) |
| 2.0ms | x | @ | inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (+ (* y x) y) (+ (* (/ x y) (/ x y)) -1) (/ (* (- (pow (/ x y) 2) 1) x) (* (- (/ x y) 1) (+ 1 x))) (* (- (pow (/ x y) 2) 1) x) (- (pow (/ x y) 2) 1) (* (- (/ x y) 1) (+ 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 1431 |
| 1 | 908 | 1350 |
| 2 | 2884 | 1260 |
| 0 | 8325 | 1225 |
| 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)))) |
y |
(+ x y) |
(/ x 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))) |
1 |
(+ 1 (* x (- (/ 1 y) 1))) |
(* x (- (/ 1 y) 1)) |
(/ (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))) |
(+ y (* x y)) |
-1 |
(- (/ (pow x 2) (pow y 2)) 1) |
(* x (+ 1 (* x (- (* x (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(* x (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* (- (/ 1 y) 1) (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2)))))) (* -1 (/ (- (/ 1 y) 1) y))))) (/ 1 y)) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(* -1 x) |
(* x (- (/ (pow x 2) (pow y 2)) 1)) |
(- (* x (- (/ 1 y) 1)) 1) |
(- (* x (- (+ (/ 1 y) (/ x y)) 1)) 1) |
(* 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 x))) |
(/ 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)))) |
(* (pow x 2) (- (/ 1 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* 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) (pow y 2)) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ (+ (* -1 (* y (- 1 (/ 1 y)))) (* y (* (- (+ 1 (* -1 y)) (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))) (- (/ 1 y) 1)))) (pow x 3))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2)))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(/ (pow x 3) (pow y 2)) |
(* (pow x 3) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 1 (* x y))) (/ 1 x))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 1 (* x y))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* -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 (/ y x)) 1))) |
(+ (* -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 (- (/ 1 y) 1)) (/ 1 x)))) |
(* -1 (* x (- 1 (/ 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 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (* (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) (- (/ 1 y) 1))) x)) (* -1 (/ (* y (- 1 (/ 1 y))) x)))) (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (/ 1 x)) x)) (/ 1 y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x (* y (+ 1 x))) |
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y) |
(/ (+ x (* y (+ 1 (* -1 x)))) y) |
(/ (+ x (* -1 (* x y))) y) |
(* y (+ 1 x)) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(/ (+ (* -1 (* x (pow y 2))) (pow x 3)) (pow y 2)) |
(/ (* x (+ 1 x)) y) |
(/ (+ (* -1 (* y (+ 1 x))) (* x (+ 1 x))) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(* y (+ 1 (/ x y))) |
(* x (+ 1 (* -1 x))) |
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y)) |
(+ 1 (* -1 x)) |
(+ 1 (+ (* -1 x) (/ x y))) |
(- (/ x y) x) |
(+ (* -1 x) (/ (pow x 3) (pow y 2))) |
(* -1 (+ 1 x)) |
(+ (* -1 (+ 1 x)) (/ (* x (+ 1 x)) y)) |
(* -1 (/ x (- (* -1 x) 1))) |
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (* y (- (* -1 x) 1))) |
| Outputs |
|---|
x |
(* 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 (fma.f64 (-.f64 x (/.f64 x y)) x (-.f64 (/.f64 x y) x)) x x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 x y) x) x (-.f64 x (/.f64 x y))) x (-.f64 (/.f64 x y) x)) x x) |
y |
(+ x y) |
(+.f64 y x) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x y)) (/ 1 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(-.f64 (/.f64 x y) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y) x)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (- (/ 1 y) 1))) |
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) |
(* x (- (/ 1 y) 1)) |
(-.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (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 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(*.f64 (*.f64 x x) (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))) |
(+ y (* x y)) |
(fma.f64 y x y) |
-1 |
#s(literal -1 binary64) |
(- (/ (pow x 2) (pow y 2)) 1) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(* x (+ 1 (* x (- (* x (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x) |
(* x (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* (- (/ 1 y) 1) (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2)))))) (* -1 (/ (- (/ 1 y) 1) y))))) (/ 1 y)) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (pow x 2) (pow y 2)) 1)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) |
(- (* x (- (/ 1 y) 1)) 1) |
(-.f64 (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) |
(- (* x (- (+ (/ 1 y) (/ x y)) 1)) 1) |
(-.f64 (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(* 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 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) 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 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x))) x #s(literal 1 binary64)) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) y) (/.f64 (/.f64 #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) x) #s(literal 1 binary64)) y) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) y)) |
(* (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 x) (/ 1 y)) 1)) |
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x) x (/.f64 x y)) |
(* 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) #s(literal 1 binary64)) y) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) y)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(/ (pow x 2) (pow y 2)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x x)) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) x) (/.f64 #s(literal 1 binary64) y)) x)) x) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ (+ (* -1 (* y (- 1 (/ 1 y)))) (* y (* (- (+ 1 (* -1 y)) (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))) (- (/ 1 y) 1)))) (pow x 3))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2)))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x x))) (/.f64 (*.f64 y (-.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 y) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) x) (/.f64 #s(literal 1 binary64) y)) x)) x) |
(/ (pow x 3) (pow y 2)) |
(/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) |
(* (pow x 3) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 1 (* x y))) (/ 1 x))) |
(*.f64 x (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) x (/.f64 x y))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 1 (* x y))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (*.f64 x x)) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (-.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)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (-.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)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x)) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)) x)) |
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x)))) |
(*.f64 (-.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- 1 (/ 1 y)))) |
(neg.f64 (-.f64 x (/.f64 x y))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(*.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)) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.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)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (* (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) (- (/ 1 y) 1))) x)) (* -1 (/ (* y (- 1 (/ 1 y))) x)))) (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) x) (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (/ 1 x)) x)) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x)) 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 (* y (+ 1 x))) |
(/.f64 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 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) |
(/ (+ x (* -1 (* x y))) y) |
(-.f64 (/.f64 x y) x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(/ (+ (* -1 (* x (pow y 2))) (pow x 3)) (pow y 2)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) |
(/ (* x (+ 1 x)) y) |
(/.f64 (fma.f64 x x x) y) |
(/ (+ (* -1 (* y (+ 1 x))) (* x (+ 1 x))) y) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (-.f64 x y)) |
(/ 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)) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* 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)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (+ (* -1 x) (/ x y))) |
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) |
(- (/ x y) x) |
(-.f64 (/.f64 x y) x) |
(+ (* -1 x) (/ (pow x 3) (pow y 2))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) |
(* -1 (+ 1 x)) |
(-.f64 #s(literal -1 binary64) x) |
(+ (* -1 (+ 1 x)) (/ (* x (+ 1 x)) y)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) (-.f64 x y)) |
(* -1 (/ x (- (* -1 x) 1))) |
(/.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))) |
(*.f64 (/.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(/.f64 (/.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) y) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 x y)) |
(* -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 | 42 | 267 |
| 0 | 61 | 263 |
| 1 | 251 | 263 |
| 2 | 1990 | 263 |
| 0 | 8470 | 247 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))) |
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))) |
(+.f64 y x) |
(/.f64 x (fma.f64 y x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x) |
#s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) |
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x) |
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) |
(-.f64 (/.f64 x y) x) |
#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) |
(fma.f64 y x y) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) |
#s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 y x) y)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) |
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (+.f64 y x))) (neg.f64 (neg.f64 (fma.f64 y x y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 x (fma.f64 y x y)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 x (fma.f64 y x y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 y x y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) x))) (neg.f64 (neg.f64 (fma.f64 y x y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (*.f64 (neg.f64 (fma.f64 y x y)) (-.f64 y x)))) |
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(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (*.f64 x (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 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 y) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) x))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 x y)))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 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 y) #s(literal 1 binary64)) (*.f64 x (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 x y)))) |
(/.f64 (fma.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 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x))) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.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 (/.f64 x y) #s(literal 1 binary64)) (*.f64 x (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.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)) (*.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 3 binary64)) #s(literal 1 binary64)) x))) (*.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 (fma.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)) (*.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 x y)) (*.f64 x (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #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 (fma.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.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 x y)) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x))) (*.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 x y)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.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 x y)) (*.f64 x (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #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 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #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)) (+.f64 #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 (+.f64 #s(literal 1 binary64) 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 (+.f64 #s(literal 1 binary64) 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 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 (/.f64 x y) #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 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.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 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 x #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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #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 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #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 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (*.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)) (-.f64 #s(literal 1 binary64) (*.f64 x 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)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 x y)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 x y)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 x y)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 x y)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.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 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(fma.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(-.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(-.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))) x)) |
(+.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(+.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
Compiled 22 021 to 2 068 computations (90.6% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 525 | 9 | 534 |
| Fresh | 2 | 2 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 3 | 4 | 7 |
| Total | 534 | 16 | 550 |
| Status | Accuracy | Program |
|---|---|---|
| 60.6% | (/.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))) | |
| 13.7% | (/.f64 (*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) #s(approx (* (- (/ x y) 1) (+ 1 x)) (/.f64 (fma.f64 x x x) y))) | |
| 48.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y)) | |
| 37.8% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) | |
| 37.8% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 50.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| ✓ | 52.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x)) |
| 34.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x #s(approx (+ (* y x) y) (*.f64 y x))) x)) | |
| 19.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) | |
| 40.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) | |
| ✓ | 40.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
| 8.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x)) | |
| ✓ | 36.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
| ✓ | 52.0% | #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))) |
| 42.2% | #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) | |
| 55.0% | #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) |
Compiled 1 096 to 391 computations (64.3% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ 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(approx (- 1 x) (neg.f64 x))) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#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 (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) |
#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)) (*.f64 (/.f64 x #s(approx (+ (* y x) y) (*.f64 y x))) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 #s(approx (* x (+ y x)) (*.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)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x)) |
#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 x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.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)) |
(*.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)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y)) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 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 x (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) x) #s(approx (* (- (/ x y) 1) (+ 1 x)) (/.f64 (fma.f64 x x x) y))) |
(/.f64 (*.f64 #s(approx (- (pow (/ x y) 2) 1) (fma.f64 (/.f64 x y) (/.f64 x y) #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 #s(literal 1 binary64) x))) |
(/.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))) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
3 calls:
| 30.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 26.0ms | y |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ 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(approx (- 1 x) (neg.f64 x))) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#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 (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) |
#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)) (*.f64 (/.f64 x #s(approx (+ (* y x) y) (*.f64 y x))) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 #s(approx (* x (+ y x)) (*.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)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x)) |
#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 x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.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)) |
(*.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)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y)) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y)) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y)) |
3 calls:
| 37.0ms | x |
| 7.0ms | y |
| 6.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 99.8% | 3 | x |
| 96.1% | 3 | y |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ 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(approx (- 1 x) (neg.f64 x))) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#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 (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) |
#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)) (*.f64 (/.f64 x #s(approx (+ (* y x) y) (*.f64 y x))) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 #s(approx (* x (+ y x)) (*.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)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x)) |
#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 x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.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)) |
(*.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)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y)) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) 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)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) |
2 calls:
| 21.0ms | x |
| 6.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 3 | x |
| 98.9% | 4 | (/.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 (+ (/ x y) 1)) (+ 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(approx (- 1 x) (neg.f64 x))) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#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 (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) |
#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)) (*.f64 (/.f64 x #s(approx (+ (* y x) y) (*.f64 y x))) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 #s(approx (* x (+ y x)) (*.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)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x)) |
#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 x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.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)) |
| Outputs |
|---|
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) |
#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 (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ 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(approx (- 1 x) (neg.f64 x))) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#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 (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) |
| Outputs |
|---|
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) |
3 calls:
| 15.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.7% | 3 | y |
| 90.2% | 4 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 93.5% | 5 | x |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ 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(approx (- 1 x) (neg.f64 x))) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#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 (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) |
| Outputs |
|---|
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 88.0% | 3 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ 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(approx (- 1 x) (neg.f64 x))) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#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 (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
| Outputs |
|---|
#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 (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
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 |
|---|---|---|
| 87.2% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 76.1% | 3 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ 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(approx (- 1 x) (neg.f64 x))) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
3 calls:
| 2.0ms | y |
| 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 |
|---|---|---|
| 55.2% | 3 | y |
| 54.0% | 3 | x |
| 55.8% | 2 | (/.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)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ 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(approx (- 1 x) (neg.f64 x))) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
3 calls:
| 220.0ms | y |
| 2.0ms | x |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.0% | 1 | x |
| 40.0% | 1 | y |
| 40.0% | 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)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ 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(approx (- 1 x) (neg.f64 x))) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) 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 |
|---|---|---|
| 40.7% | 2 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 40.4% | 3 | x |
| 36.0% | 1 | y |
Compiled 13 to 12 computations (7.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.0% | 1 | x |
| 36.0% | 1 | (/.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)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1791.5162014809732 | 13302722039575396000.0 |
| 0.0ms | -1.066484947323927e+134 | -7.11115031943571e+109 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 9.396322309247133e-6 | 1.682047066073063 |
| 15.0ms | -3.9117832096442586 | -3.5536359769869695e-10 |
| 23.0ms | 304× | 0 | valid |
Compiled 850 to 602 computations (29.2% saved)
ival-div: 11.0ms (68.1% of total)ival-add: 3.0ms (18.6% of total)ival-mult: 2.0ms (12.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 9.396322309247133e-6 | 1.682047066073063 |
| 1.0ms | -3.9117832096442586 | -3.5536359769869695e-10 |
| 1.0ms | 16× | 0 | valid |
Compiled 1 135 to 716 computations (36.9% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 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)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 9.396322309247133e-6 | 1.682047066073063 |
| 14.0ms | 8.490264488735516e-175 | 1.423099832485816e-163 |
| 17.0ms | -9.076340919041731e-238 | -4.1191161911416645e-243 |
| 1.0ms | -3.9117832096442586 | -3.5536359769869695e-10 |
| 20.0ms | 384× | 0 | valid |
Compiled 2 028 to 1 324 computations (34.7% saved)
ival-div: 5.0ms (41.3% of total)ival-add: 4.0ms (33% of total)ival-mult: 2.0ms (16.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 9.396322309247133e-6 | 1.682047066073063 |
| 10.0ms | -50354781.47185952 | -625002.0287557084 |
| 9.0ms | 176× | 0 | valid |
Compiled 718 to 509 computations (29.1% saved)
ival-div: 3.0ms (52.9% of total)ival-add: 2.0ms (35.3% of total)ival-mult: 1.0ms (17.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1406481764386407 | 1.5715966000449113 |
| 0.0ms | -7.343310895830384e+26 | -3.5536359782498024e-10 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -7.343310895830384e+26 | -3.5536359782498024e-10 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -7.343310895830384e+26 | -3.5536359782498024e-10 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
Useful iterations: 10 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 647 |
| 1 | 159 | 647 |
| 2 | 225 | 647 |
| 3 | 403 | 647 |
| 4 | 940 | 647 |
| 5 | 2171 | 647 |
| 6 | 3172 | 647 |
| 7 | 3346 | 647 |
| 8 | 3350 | 647 |
| 9 | 3351 | 640 |
| 10 | 3359 | 633 |
| 11 | 3396 | 633 |
| 12 | 3522 | 633 |
| 13 | 3626 | 633 |
| 14 | 3626 | 633 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) (if (<=.f64 x #s(literal 3/4 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 (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) (if (<=.f64 x #s(literal 3512807709348987/4503599627370496 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 (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) (if (<=.f64 x #s(literal -6598403462816631/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) (if (<=.f64 x #s(literal 3063162035757089/69617318994479297159441705409245167921344429126717528237597542082203295398081625160307507496908132931192662194421301381083506846944815643283884602656894137393981852330936660004926669193216 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))))))) |
(if (<=.f64 x #s(literal -10000000 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) (if (<=.f64 x #s(literal 3715469692580659/2251799813685248 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #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 -500000000000000006643777536 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3/2 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)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -500000000000000006643777536 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.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 -500000000000000006643777536 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ 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)) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y)))) |
(if (or (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) (not (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2000 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) (if (<=.f64 x #s(literal 3/4 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 (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))))) |
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 3/4 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (pow.f64 y #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)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) (if (<=.f64 x #s(literal 3512807709348987/4503599627370496 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 (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))))) |
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (pow.f64 y #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)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) (if (<=.f64 x #s(literal -6598403462816631/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) (if (<=.f64 x #s(literal 3063162035757089/69617318994479297159441705409245167921344429126717528237597542082203295398081625160307507496908132931192662194421301381083506846944815643283884602656894137393981852330936660004926669193216 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (pow.f64 y #s(literal -1 binary64))))) (if (<=.f64 x #s(literal -6598403462816631/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) (if (<=.f64 x #s(literal 3063162035757089/69617318994479297159441705409245167921344429126717528237597542082203295398081625160307507496908132931192662194421301381083506846944815643283884602656894137393981852330936660004926669193216 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (pow.f64 y #s(literal -1 binary64))))))))) |
(if (<=.f64 x #s(literal -10000000 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) (if (<=.f64 x #s(literal 3715469692580659/2251799813685248 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))))) |
(if (or (<=.f64 x #s(literal -10000000 binary64)) (not (<=.f64 x #s(literal 3715469692580659/2251799813685248 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (pow.f64 y #s(literal -1 binary64))))) #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 -500000000000000006643777536 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3/2 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)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (or (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -500000000000000006643777536 binary64)) (not (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3/2 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (pow.f64 y #s(literal -1 binary64))) x)) #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 -500000000000000006643777536 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.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 -500000000000000006643777536 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ 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 | 180 | 667 |
| 1 | 542 | 640 |
| 2 | 1467 | 604 |
| 3 | 5826 | 582 |
| 0 | 8572 | 559 |
| 0 | 273 | 1184 |
| 1 | 833 | 1123 |
| 2 | 2682 | 1037 |
| 0 | 8662 | 1000 |
| 0 | 8 | 29 |
| 0 | 13 | 29 |
| 1 | 55 | 29 |
| 2 | 373 | 29 |
| 3 | 3922 | 29 |
| 0 | 8666 | 27 |
| 0 | 42 | 267 |
| 0 | 61 | 263 |
| 1 | 251 | 263 |
| 2 | 1990 | 263 |
| 0 | 8470 | 247 |
| 0 | 90 | 321 |
| 1 | 253 | 304 |
| 2 | 674 | 291 |
| 3 | 3720 | 289 |
| 0 | 8258 | 273 |
| 0 | 299 | 1431 |
| 1 | 908 | 1350 |
| 2 | 2884 | 1260 |
| 0 | 8325 | 1225 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 647 to 110 computations (83% saved)
Compiled 1 342 to 254 computations (81.1% saved)
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