
Time bar (total: 6.8s)
| 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)
| 596.0ms | 8 256× | 0 | valid |
ival-div: 157.0ms (43.8% of total)ival-add: 109.0ms (30.4% of total)ival-mult: 78.0ms (21.8% of total)ival-true: 6.0ms (1.7% of total)exact: 6.0ms (1.7% of total)ival-assert: 4.0ms (1.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 38 | 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 | 38 | 0 |
| ↳ | (/.f64 x y) | overflow | 32 | |
| ↳ | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | overflow | 70 | |
| ↳ | (+.f64 (/.f64 x y) #s(literal 1 binary64)) | overflow | 32 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 38 | 0 |
| - | 0 | 218 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 38 | 0 | 0 |
| - | 0 | 0 | 218 |
| number | freq |
|---|---|
| 0 | 218 |
| 1 | 38 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 512× | 0 | valid |
Compiled 79 to 28 computations (64.6% saved)
ival-div: 7.0ms (41.7% of total)ival-add: 5.0ms (29.8% of total)ival-mult: 3.0ms (17.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 65 |
| 1 | 72 | 63 |
| 2 | 237 | 55 |
| 3 | 684 | 55 |
| 4 | 2259 | 55 |
| 5 | 4299 | 55 |
| 6 | 5445 | 55 |
| 7 | 5816 | 55 |
| 8 | 5870 | 55 |
| 9 | 5996 | 55 |
| 10 | 6068 | 55 |
| 11 | 6308 | 55 |
| 12 | 6722 | 55 |
| 13 | 7011 | 55 |
| 14 | 7011 | 55 |
| 15 | 7011 | 55 |
| 0 | 8 | 11 |
| 0 | 13 | 11 |
| 1 | 26 | 11 |
| 2 | 55 | 11 |
| 3 | 120 | 11 |
| 4 | 332 | 11 |
| 5 | 1017 | 11 |
| 6 | 1911 | 11 |
| 7 | 2198 | 11 |
| 8 | 2328 | 11 |
| 9 | 2614 | 11 |
| 10 | 2841 | 11 |
| 11 | 2881 | 11 |
| 12 | 3029 | 11 |
| 13 | 3357 | 11 |
| 14 | 3375 | 11 |
| 15 | 3377 | 11 |
| 16 | 3377 | 11 |
| 17 | 3377 | 11 |
| 18 | 3413 | 11 |
| 19 | 3425 | 11 |
| 20 | 3425 | 11 |
| 0 | 3425 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.0% | (/.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 (/.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0625 | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 8.942731788950171 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 15.0ms | 256× | 0 | valid |
Compiled 34 to 10 computations (70.6% saved)
ival-div: 4.0ms (49.5% of total)ival-add: 2.0ms (24.7% of total)ival-mult: 2.0ms (24.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
1 |
(+ 1 (/ x y)) |
(/ x y) |
(+ 1 x) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ x y) y) |
(+ x (/ (pow x 2) y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | 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)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 343 | 11 | 354 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 344 | 11 | 355 |
| Status | Accuracy | Program |
|---|---|---|
| 58.3% | (/.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))) | |
| ▶ | 86.0% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| 7.6% | (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))) | |
| 63.6% | (/.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))) | |
| ▶ | 29.2% | (/.f64 (*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 39.7% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) | |
| 99.8% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) | |
| ▶ | 99.9% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| ▶ | 49.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| ▶ | 55.3% | #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)) |
| 46.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
Compiled 400 to 250 computations (37.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| 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 | 33 | 205 |
| 0 | 58 | 202 |
| 1 | 104 | 202 |
| 2 | 201 | 202 |
| 3 | 520 | 202 |
| 4 | 1488 | 202 |
| 5 | 3368 | 202 |
| 6 | 4467 | 202 |
| 7 | 4840 | 202 |
| 8 | 4999 | 202 |
| 9 | 5097 | 202 |
| 10 | 5285 | 202 |
| 11 | 5294 | 202 |
| 12 | 5298 | 202 |
| 13 | 5379 | 202 |
| 14 | 5548 | 202 |
| 15 | 5600 | 202 |
| 16 | 5600 | 202 |
| 17 | 6052 | 202 |
| 18 | 6985 | 202 |
| 19 | 7071 | 202 |
| 20 | 7076 | 202 |
| 21 | 7083 | 202 |
| 22 | 7085 | 202 |
| 23 | 7085 | 202 |
| 24 | 7085 | 202 |
| 25 | 7121 | 202 |
| 26 | 7135 | 202 |
| 27 | 7135 | 202 |
| 28 | 7207 | 202 |
| 29 | 7291 | 202 |
| 0 | 7291 | 202 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
x |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x y) |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
x |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#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 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) |
x |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64)) |
(sqrt.f64 (neg.f64 x)) |
(neg.f64 x) |
(sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(/.f64 (/.f64 (neg.f64 x) y) y) |
(/.f64 (neg.f64 x) y) |
y |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
x |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
x |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#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 #s(literal 1 binary64) x)) |
(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 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)) x) |
x |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(sqrt.f64 (neg.f64 x)) |
(neg.f64 x) |
(sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(/.f64 (/.f64 (neg.f64 x) y) y) |
(/.f64 (neg.f64 x) y) |
y |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (/.f64 (/.f64 (neg.f64 x) y) y) | |
| accuracy | 0.06640625 | (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64)) | |
| accuracy | 6.099297645166581 | (/.f64 (*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 12.621449899138883 | (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.03125 | (fma.f64 (/.f64 x y) x x) | |
| accuracy | 6.095391395166581 | (/.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 | 0.01171875 | (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) | |
| accuracy | 18.477127480197975 | #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 | 16.111268055345366 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.01953125 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| 38.0ms | 129× | 0 | invalid |
| 30.0ms | 127× | 0 | valid |
Compiled 197 to 34 computations (82.7% saved)
ival-div: 21.0ms (41.8% of total)ival-mult: 14.0ms (27.8% of total)ival-add: 8.0ms (15.9% of total)ival-sqrt: 3.0ms (6% of total)ival-sub: 2.0ms (4% of total)ival-neg: 1.0ms (2% 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 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64)) |
(sqrt.f64 (neg.f64 x)) |
(sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(/.f64 (/.f64 (neg.f64 x) y) y) |
| 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 (- (/ (pow (sqrt -1) 2) y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))) (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1)))) |
(* x (+ 1 (/ (* x (pow (sqrt -1) 2)) y))) |
(+ 1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* (sqrt x) (sqrt -1)) |
(* (sqrt x) (/ (sqrt -1) y)) |
(* -1 (/ x (pow y 2))) |
(* 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 (pow (sqrt -1) 2)) y) |
(* x (- (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)) (/ (pow (sqrt -1) 2) (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y)))) (+ (/ 1 (pow x 2)) (/ (pow (sqrt -1) 2) (* x y))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 (pow x 3)) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y))))) (+ (/ 1 (pow x 2)) (+ (/ (pow (sqrt -1) 2) (* x y)) (/ (pow (sqrt -1) 2) (* (pow x 3) y)))))) |
(/ (* (pow x 2) (pow (sqrt -1) 2)) y) |
(* (pow x 2) (+ (/ 1 x) (/ (pow (sqrt -1) 2) y))) |
(* x (+ (/ 1 x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(* -1 (* x (- (* -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 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 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))) x)) (/ 1 y)))) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (- (/ 1 x) (/ 1 y))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* (sqrt x) (/ (sqrt -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) |
(/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (+ 1 x))) y) |
(/ (+ (* x y) (* (pow x 2) (pow (sqrt -1) 2))) y) |
(/ (+ y (* x (pow (sqrt -1) 2))) 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 |
(- (/ 1 y) 1) |
(+ x (/ (pow x 2) y)) |
(+ (/ x (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) |
(+ x (/ (* (pow x 2) (pow (sqrt -1) 2)) y)) |
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x))) |
(+ x (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) y))) |
(+ 1 (* -1 (/ (* x (pow (sqrt -1) 2)) y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | 0 | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 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) (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1) (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y)) (/ (/ (neg x) y) y)) |
| 5.0ms | 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) (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1) (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y)) (/ (/ (neg x) y) y)) |
| 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) (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1) (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y)) (/ (/ (neg x) y) y)) |
| 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) (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1) (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y)) (/ (/ (neg x) y) y)) |
| 3.0ms | y | @ | inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 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) (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1) (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y)) (/ (/ (neg x) y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 250 | 1107 |
| 1 | 759 | 944 |
| 2 | 2376 | 887 |
| 0 | 8407 | 848 |
| 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 (- (/ (pow (sqrt -1) 2) y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))) (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1)))) |
(* x (+ 1 (/ (* x (pow (sqrt -1) 2)) y))) |
(+ 1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* (sqrt x) (sqrt -1)) |
(* (sqrt x) (/ (sqrt -1) y)) |
(* -1 (/ x (pow y 2))) |
(* 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 (pow (sqrt -1) 2)) y) |
(* x (- (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)) (/ (pow (sqrt -1) 2) (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y)))) (+ (/ 1 (pow x 2)) (/ (pow (sqrt -1) 2) (* x y))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 (pow x 3)) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y))))) (+ (/ 1 (pow x 2)) (+ (/ (pow (sqrt -1) 2) (* x y)) (/ (pow (sqrt -1) 2) (* (pow x 3) y)))))) |
(/ (* (pow x 2) (pow (sqrt -1) 2)) y) |
(* (pow x 2) (+ (/ 1 x) (/ (pow (sqrt -1) 2) y))) |
(* x (+ (/ 1 x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(* -1 (* x (- (* -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 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 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))) x)) (/ 1 y)))) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (- (/ 1 x) (/ 1 y))) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(* -1 (* (sqrt x) (/ (sqrt -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) |
(/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (+ 1 x))) y) |
(/ (+ (* x y) (* (pow x 2) (pow (sqrt -1) 2))) y) |
(/ (+ y (* x (pow (sqrt -1) 2))) 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 |
(- (/ 1 y) 1) |
(+ x (/ (pow x 2) y)) |
(+ (/ x (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) |
(+ x (/ (* (pow x 2) (pow (sqrt -1) 2)) y)) |
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x))) |
(+ x (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) y))) |
(+ 1 (* -1 (/ (* x (pow (sqrt -1) 2)) 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 (-.f64 x (fma.f64 x 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 (- (/ (pow (sqrt -1) 2) 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 (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1)))) |
(fma.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))) (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1)))) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x) |
(* x (+ 1 (/ (* x (pow (sqrt -1) 2)) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(+ 1 (/ (* x (pow (sqrt -1) 2)) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* (sqrt x) (sqrt -1)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt x) (/ (sqrt -1) y)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 x)) |
(* -1 (/ x (pow y 2))) |
(/.f64 (/.f64 (neg.f64 x) y) y) |
(* 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 (/.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) x) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) x #s(literal 1 binary64)) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(-.f64 (+.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 (pow (sqrt -1) 2)) y) |
(/.f64 (neg.f64 x) y) |
(* x (- (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)) (/ (pow (sqrt -1) 2) (* x y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y)))) (+ (/ 1 (pow x 2)) (/ (pow (sqrt -1) 2) (* x y))))) |
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 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 (pow x 3)) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y))))) (+ (/ 1 (pow x 2)) (+ (/ (pow (sqrt -1) 2) (* x y)) (/ (pow (sqrt -1) 2) (* (pow x 3) y)))))) |
(fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (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)) |
(/ (* (pow x 2) (pow (sqrt -1) 2)) y) |
(*.f64 (/.f64 (neg.f64 x) y) x) |
(* (pow x 2) (+ (/ 1 x) (/ (pow (sqrt -1) 2) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(* x (+ (/ 1 x) (/ (pow (sqrt -1) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #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 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) y))) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) |
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.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))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (neg.f64 x) (-.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))) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(-.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) x #s(literal 1 binary64)) (/.f64 x y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y)))) |
(-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) x) x #s(literal 1 binary64)) (/.f64 x y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))) x)) (/ 1 y)))) |
(-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) x)) x) x #s(literal 1 binary64)) (/.f64 x y)) |
(* -1 (/ (pow x 2) y)) |
(*.f64 (/.f64 (neg.f64 x) y) x) |
(* (pow x 2) (- (/ 1 x) (/ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(* -1 (* x (- (/ 1 y) (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* (sqrt x) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* (sqrt x) (/ (sqrt -1) y))) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 y)) |
(/ (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) |
(/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x))) |
(*.f64 x (/.f64 (neg.f64 x) (fma.f64 y x y))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (+ 1 x))) y) |
(/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y x y)) |
(/ (+ (* x y) (* (pow x 2) (pow (sqrt -1) 2))) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(/ (+ y (* x (pow (sqrt -1) 2))) y) |
(-.f64 #s(literal 1 binary64) (/.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 |
#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) |
(+ (/ x (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) (-.f64 x #s(literal -1 binary64))) |
(+ x (/ (* (pow x 2) (pow (sqrt -1) 2)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
(+ x (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) y))) |
(fma.f64 (/.f64 x y) x x) |
(+ 1 (* -1 (/ (* x (pow (sqrt -1) 2)) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 176 |
| 0 | 58 | 150 |
| 1 | 219 | 150 |
| 2 | 1588 | 149 |
| 0 | 8395 | 145 |
| 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 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64)) |
(sqrt.f64 (neg.f64 x)) |
(sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(/.f64 (/.f64 (neg.f64 x) y) y) |
| 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 (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 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 x y)) (*.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 x y)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 x y)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (fabs.f64 (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fabs.f64 (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (fabs.f64 (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (fabs.f64 (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 (/.f64 x y) (neg.f64 x))) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 x y))) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) (neg.f64 x) (neg.f64 x)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) 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 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
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(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 x y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) |
(sqrt.f64 (neg.f64 x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 (neg.f64 x) y) y))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 x) y)))) (neg.f64 (neg.f64 (sqrt.f64 y)))) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 (neg.f64 y)))) |
(/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (neg.f64 (fabs.f64 y))) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 x) y))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 (*.f64 y y)))) |
(/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (sqrt.f64 (/.f64 (neg.f64 x) y)) (sqrt.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (sqrt.f64 (/.f64 (neg.f64 x) y)) (sqrt.f64 y)) |
(/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)) |
(sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y))) (fabs.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y)) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y))) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)) (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 1 binary64)) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 (neg.f64 x) y) y) |
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 (*.f64 y y)))) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 x) (*.f64 y y)) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (/.f64 x y) (neg.f64 y)) |
(/.f64 x (neg.f64 (*.f64 y y))) |
(/.f64 x (*.f64 (neg.f64 y) y)) |
(neg.f64 (/.f64 (/.f64 x y) y)) |
(neg.f64 (/.f64 x (*.f64 y y))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 (/.f64 (neg.f64 x) y) y))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
Compiled 17 914 to 2 341 computations (86.9% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 622 | 9 | 631 |
| Fresh | 4 | 2 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 628 | 14 | 642 |
| Status | Accuracy | Program |
|---|---|---|
| 30.6% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)) (*.f64 (sqrt.f64 (neg.f64 x)) x) x) (+.f64 x #s(literal 1 binary64))) | |
| ✓ | 86.0% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| 24.6% | (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 x (*.f64 (/.f64 (neg.f64 x) y) x))))) (+.f64 x #s(literal 1 binary64))) | |
| 63.6% | (/.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))) | |
| ▶ | 39.7% | (/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
| ✓ | 99.9% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| ✓ | 49.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| 55.0% | #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)) | |
| ▶ | 46.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
| ▶ | 20.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) |
| ▶ | 44.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
| 55.3% | #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))) | |
| 2.9% | #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y)) | |
| ▶ | 71.0% | #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))) |
Compiled 586 to 345 computations (41.1% 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 | (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 | (-.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 | 39 | 261 |
| 0 | 56 | 261 |
| 1 | 98 | 261 |
| 2 | 161 | 261 |
| 3 | 415 | 245 |
| 4 | 1194 | 245 |
| 5 | 3175 | 245 |
| 6 | 6754 | 245 |
| 0 | 8098 | 243 |
| 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)) (*.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 #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)) (*.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 #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 | 0.09375 | (*.f64 (/.f64 x y) x) | |
| accuracy | 8.942731788950171 | (/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 29.67504805814051 | #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) | |
| accuracy | 0.0 | (fma.f64 y x y) | |
| accuracy | 0.15625 | (*.f64 (/.f64 x (fma.f64 y x y)) x) | |
| accuracy | 8.088641630615996 | (/.f64 x (fma.f64 y x y)) | |
| accuracy | 29.668161737863752 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 x y) x) | |
| accuracy | 0.0390625 | (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x) | |
| accuracy | 23.27415575052655 | #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) | |
| accuracy | 28.59735852266363 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0390625 | (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x) | |
| accuracy | 23.810288005051056 | #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 28.59735852266363 | #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 | (*.f64 x (+.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 | 18.304868883048986 | (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)) |
| 53.0ms | 256× | 0 | valid |
Compiled 182 to 31 computations (83% saved)
ival-mult: 13.0ms (33.8% of total)ival-div: 11.0ms (28.6% of total)ival-add: 10.0ms (26% of total)ival-sub: 3.0ms (7.8% of total)ival-true: 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)) (*.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) |
(/.f64 x (fma.f64 y x y)) |
(fma.f64 y x 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)) |
(/ (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))) |
(/ 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))) |
(+ y (* x y)) |
(* x (+ 1 (/ 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)) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(* x (+ y (/ y x))) |
(* (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 (* 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 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* 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) |
(/ (+ x (* -1 (* x y))) y) |
(/ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(/ (+ (* 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 y) x) |
(+ 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))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* 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))) (/ (* 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) (+ (* (- (/ 1 y) 1) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (* (/ x y) x) (/ x y) (+ x 1)) |
| 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) (+ (* (- (/ 1 y) 1) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ 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) (+ (* (- (/ 1 y) 1) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ 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) (+ (* (- (/ 1 y) 1) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ 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) (+ (* (- (/ 1 y) 1) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ 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 | 216 | 965 |
| 1 | 662 | 915 |
| 2 | 1816 | 861 |
| 3 | 6179 | 859 |
| 0 | 8371 | 831 |
| 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)) |
(/ (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))) |
(/ 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))) |
(+ y (* x y)) |
(* x (+ 1 (/ 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)) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(* x (+ y (/ y x))) |
(* (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 (* 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 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* 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) |
(/ (+ x (* -1 (* x y))) y) |
(/ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(/ (+ (* 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 y) x) |
(+ 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))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* 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) |
(* 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) |
(/ (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) y) x) x) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) (/.f64 #s(literal 1 binary64) y)) x (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x y)) (/ 1 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(-.f64 (/.f64 x y) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) x)) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x) (/.f64 x y)) |
(+ y (* x y)) |
(fma.f64 y x y) |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(+ 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) |
(* 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) |
(/ 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)) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* (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 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (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 (* 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 (* 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 (/ (- (/ 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 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -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)) |
(/ (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)) |
(/ (+ x (* -1 (* x y))) y) |
(-.f64 (/.f64 x y) x) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 y x y)) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(/ (+ (* x y) (pow x 2)) y) |
(fma.f64 (/.f64 x y) x x) |
(/ x (+ 1 x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.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 y) x) |
(-.f64 (/.f64 x y) x) |
(+ 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)) |
(* -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 (/ x (* y (- (* -1 x) 1)))) |
(/.f64 (/.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) 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 | 39 | 243 |
| 0 | 56 | 243 |
| 1 | 215 | 243 |
| 2 | 1530 | 243 |
| 0 | 8150 | 225 |
| 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)) (*.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) |
(/.f64 x (fma.f64 y x y)) |
(fma.f64 y x 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)) (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #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 (fma.f64 y x y)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 y x y)) (*.f64 (/.f64 x (fma.f64 y x y)) x))))) |
(/.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) (neg.f64 (fma.f64 y x y)) (*.f64 (fma.f64 y x y) (neg.f64 (*.f64 x x)))) (*.f64 (fma.f64 y x y) (neg.f64 (fma.f64 y x y)))) |
(/.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 (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) (neg.f64 (fma.f64 y x y)) (*.f64 (fma.f64 y x y) (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 y x y) (neg.f64 (fma.f64 y x y)))) |
(/.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 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) (neg.f64 (fma.f64 y x y)) (*.f64 (fma.f64 y x y) (*.f64 x (neg.f64 x)))) (*.f64 (fma.f64 y x y) (neg.f64 (fma.f64 y x y)))) |
(/.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) (*.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) (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 (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 (/.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 (fma.f64 y x y)) x)) |
(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 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 y x) y) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(fma.f64 (/.f64 (*.f64 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 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 (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 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 (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 (fma.f64 y x y)) 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 (fma.f64 y x y)) x)) |
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 x y) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(fma.f64 x (/.f64 x (fma.f64 y 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 (fma.f64 y x y)) x)) |
(+.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) (/.f64 (*.f64 y x) (fma.f64 y x y))) |
(*.f64 (+.f64 y x) x) |
(*.f64 x (+.f64 y x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) 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)) |
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(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 14 363 to 1 677 computations (88.3% saved)
18 alts after pruning (12 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 409 | 7 | 416 |
| Fresh | 1 | 5 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 412 | 18 | 430 |
| Status | Accuracy | Program |
|---|---|---|
| 30.6% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)) (*.f64 (sqrt.f64 (neg.f64 x)) x) x) (+.f64 x #s(literal 1 binary64))) | |
| ✓ | 86.0% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| 24.6% | (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 x (*.f64 (/.f64 (neg.f64 x) y) x))))) (+.f64 x #s(literal 1 binary64))) | |
| 63.6% | (/.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))) | |
| ✓ | 99.9% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| 51.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y)) | |
| ▶ | 38.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
| ✓ | 49.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| ✓ | 46.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
| ▶ | 20.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
| 43.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) | |
| ✓ | 44.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
| 9.8% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x)) | |
| ▶ | 38.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
| 55.3% | #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))) | |
| ▶ | 2.9% | #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y)) |
| ✓ | 71.0% | #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))) |
| ▶ | 77.0% | #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))) |
Compiled 709 to 423 computations (40.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y x y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (fma.f64 y x y)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y)) | |
| 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 218 |
| 0 | 56 | 218 |
| 1 | 106 | 218 |
| 2 | 226 | 218 |
| 3 | 608 | 218 |
| 4 | 1817 | 214 |
| 5 | 3921 | 214 |
| 6 | 6079 | 214 |
| 7 | 6564 | 214 |
| 0 | 8382 | 210 |
| 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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(*.f64 x x) |
x |
(fma.f64 y x y) |
y |
| 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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#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 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(*.f64 x x) |
x |
(fma.f64 y x y) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 y x y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 8.696728518323162 | (/.f64 (*.f64 x x) (fma.f64 y x y)) | |
| accuracy | 14.775236866895108 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.078125 | (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) | |
| accuracy | 14.775236866895108 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) | |
| accuracy | 18.58797256643051 | #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) | |
| accuracy | 0.0 | (/.f64 (neg.f64 x) y) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 22.67386235154827 | #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y)) | |
| accuracy | 0.01953125 | (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x) | |
| accuracy | 18.477127480197975 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) | |
| accuracy | 20.751699351632638 | #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 | 2.5995927333719453 | (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))) | |
| accuracy | 4.742680019748916 | (/.f64 x (fma.f64 y x y)) |
| 32.0ms | 127× | 0 | valid |
| 30.0ms | 129× | 0 | invalid |
Compiled 163 to 36 computations (77.9% saved)
ival-div: 17.0ms (35.7% of total)ival-mult: 16.0ms (33.6% of total)ival-add: 9.0ms (18.9% of total)ival-sqrt: 3.0ms (6.3% of total)ival-sub: 1.0ms (2.1% of total)ival-neg: 1.0ms (2.1% 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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(*.f64 x x) |
(fma.f64 y x y) |
| 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 (* x (- (/ (pow (sqrt -1) 2) y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))) (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1)))) |
(* -1 (/ x y)) |
(* -1 x) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(pow x 2) |
(+ y (* x y)) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(* 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 y) 1)) |
(* x (- (+ (/ 1 x) (/ 1 y)) 1)) |
(/ (* x (pow (sqrt -1) 2)) y) |
(* x (- (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)) (/ (pow (sqrt -1) 2) (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y)))) (+ (/ 1 (pow x 2)) (/ (pow (sqrt -1) 2) (* x y))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 (pow x 3)) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y))))) (+ (/ 1 (pow x 2)) (+ (/ (pow (sqrt -1) 2) (* x y)) (/ (pow (sqrt -1) 2) (* (pow x 3) y)))))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(* x y) |
(* x (+ y (/ y x))) |
(* -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 (/ 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 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(/ (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) |
(/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (+ 1 x))) y) |
(* y (+ 1 x)) |
(/ 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 (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) |
(* -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) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x))) |
(* -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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/ (neg x) y) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* x x) (+ (* y x) y)) (* x x) (+ (* y x) y)) |
| 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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/ (neg x) y) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* x x) (+ (* y x) y)) (* x x) (+ (* y x) y)) |
| 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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/ (neg x) y) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* x x) (+ (* y x) y)) (* x x) (+ (* y x) y)) |
| 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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/ (neg x) y) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* x x) (+ (* y x) y)) (* x x) (+ (* y x) y)) |
| 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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/ (neg x) y) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* x x) (+ (* y x) y)) (* x x) (+ (* y x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 1135 |
| 1 | 709 | 1027 |
| 2 | 2273 | 953 |
| 3 | 7492 | 949 |
| 0 | 8060 | 912 |
| 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 (* x (- (/ (pow (sqrt -1) 2) y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))) (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1)))) |
(* -1 (/ x y)) |
(* -1 x) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(pow x 2) |
(+ y (* x y)) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(* 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 y) 1)) |
(* x (- (+ (/ 1 x) (/ 1 y)) 1)) |
(/ (* x (pow (sqrt -1) 2)) y) |
(* x (- (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)) (/ (pow (sqrt -1) 2) (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y)))) (+ (/ 1 (pow x 2)) (/ (pow (sqrt -1) 2) (* x y))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 (pow x 3)) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y))))) (+ (/ 1 (pow x 2)) (+ (/ (pow (sqrt -1) 2) (* x y)) (/ (pow (sqrt -1) 2) (* (pow x 3) y)))))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(* x y) |
(* x (+ y (/ y x))) |
(* -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 (/ 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 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(/ (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) |
(/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (+ 1 x))) y) |
(* y (+ 1 x)) |
(/ 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 (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) |
(* -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) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x))) |
(* -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 (* x (- (/ (pow (sqrt -1) 2) 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 (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) 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 (- (/ (pow (sqrt -1) 2) y) 1))) (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) 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 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 x) |
(neg.f64 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))) |
(pow x 2) |
(*.f64 x x) |
(+ y (* x y)) |
(fma.f64 y x y) |
(* 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 (/ y x))) |
(+.f64 y 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 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.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 y) 1)) |
(-.f64 (/.f64 x y) x) |
(* x (- (+ (/ 1 x) (/ 1 y)) 1)) |
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) |
(/ (* x (pow (sqrt -1) 2)) y) |
(/.f64 (neg.f64 x) y) |
(* x (- (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)) (/ (pow (sqrt -1) 2) (* x y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y)))) (+ (/ 1 (pow x 2)) (/ (pow (sqrt -1) 2) (* x y))))) |
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 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 (pow x 3)) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y))))) (+ (/ 1 (pow x 2)) (+ (/ (pow (sqrt -1) 2) (* x y)) (/ (pow (sqrt -1) 2) (* (pow x 3) y)))))) |
(fma.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) x)) x)) x #s(literal 1 binary64)) |
(* 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 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 y x))) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* -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 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (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 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 (/.f64 y (neg.f64 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 (/ 1 y)) x)) (/ 1 y)))) |
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 x y))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y)))) |
(neg.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64) (/.f64 x y))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))) x)) (/ 1 y)))) |
(neg.f64 (fma.f64 (neg.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))) #s(literal 1 binary64) (/.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))))) |
(fma.f64 y x y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
(/ 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) |
(/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x))) |
(*.f64 (neg.f64 x) (/.f64 x (fma.f64 y x y))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (+ 1 x))) y) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 #s(literal 1 binary64) x)) |
(* y (+ 1 x)) |
(fma.f64 y 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 (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 #s(literal 1 binary64) 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 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) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (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 | 46 | 204 |
| 0 | 56 | 204 |
| 1 | 223 | 200 |
| 2 | 1682 | 193 |
| 0 | 8988 | 182 |
| 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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(*.f64 x x) |
(fma.f64 y x y) |
| Outputs |
|---|
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))) |
(*.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 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y x y) (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 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 y x) y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x (fma.f64 y x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 x (fma.f64 y x y))) (*.f64 y (/.f64 x (fma.f64 y x y))) (-.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 x (fma.f64 y x y))) (*.f64 (/.f64 x (fma.f64 y x y)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (fma.f64 y x y)) y) (*.f64 (/.f64 x (fma.f64 y x y)) y) (-.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 y x y)) y) (*.f64 (/.f64 x (fma.f64 y x y)) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x (fma.f64 y x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (/.f64 x (fma.f64 y x y))) (*.f64 y (/.f64 x (fma.f64 y x y)))) (*.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) (*.f64 y (/.f64 x (fma.f64 y x y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 y x y)) y) (*.f64 (/.f64 x (fma.f64 y x y)) y)) (*.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) (*.f64 (/.f64 x (fma.f64 y x y)) y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 x (fma.f64 y x y)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y x y)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (fma.f64 y y (*.f64 x x)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 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 x (fma.f64 y y (*.f64 x x)))) (neg.f64 (*.f64 (neg.f64 (fma.f64 y x y)) (-.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 y y (*.f64 x x)))) (neg.f64 (*.f64 (fma.f64 y x y) (-.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 (*.f64 (neg.f64 (fma.f64 y x y)) (fma.f64 y y (*.f64 x (-.f64 x y)))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (*.f64 (fma.f64 y x y) (fma.f64 y y (*.f64 x (-.f64 x y)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x)) (neg.f64 (*.f64 (-.f64 y x) (neg.f64 (fma.f64 y x y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x)) (neg.f64 (*.f64 (-.f64 y x) (fma.f64 y x y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (neg.f64 (fma.f64 y x y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (fma.f64 y x y)))) |
(/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 x (fma.f64 y x y))) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y x y))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(/.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (fma.f64 y y (*.f64 x x))) (-.f64 y x)) |
(/.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) x)) (neg.f64 (neg.f64 (fma.f64 y x y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) x)) (neg.f64 (fma.f64 y x y))) |
(/.f64 (*.f64 x (fma.f64 y y (*.f64 x x))) (*.f64 (neg.f64 (fma.f64 y x y)) (-.f64 y x))) |
(/.f64 (*.f64 x (fma.f64 y y (*.f64 x x))) (*.f64 (fma.f64 y x y) (-.f64 y x))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 y x y)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y x y) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x) (*.f64 (-.f64 y x) (neg.f64 (fma.f64 y x y)))) |
(/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x) (*.f64 (-.f64 y x) (fma.f64 y x y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (neg.f64 (fma.f64 y x y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (fma.f64 y x y))) |
(/.f64 (*.f64 (+.f64 y x) x) (neg.f64 (fma.f64 y x y))) |
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 y x) y) (*.f64 y (/.f64 x (fma.f64 y x y)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 y x) y) (*.f64 (/.f64 x (fma.f64 y x y)) y)) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 y (/.f64 x (fma.f64 y x y)))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (/.f64 x (fma.f64 y x y)) y)) |
(fma.f64 (/.f64 x (fma.f64 y x y)) y (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(fma.f64 (/.f64 x (fma.f64 y x y)) x (*.f64 y (/.f64 x (fma.f64 y x y)))) |
(fma.f64 (/.f64 x (fma.f64 y x y)) x (*.f64 (/.f64 x (fma.f64 y x y)) y)) |
(fma.f64 (/.f64 x y) (/.f64 x (+.f64 #s(literal -1 binary64) x)) (*.f64 y (/.f64 x (fma.f64 y x y)))) |
(fma.f64 (/.f64 x y) (/.f64 x (+.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 x (fma.f64 y x y)) y)) |
(fma.f64 y (/.f64 x (fma.f64 y x y)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(fma.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (/.f64 x y) (*.f64 y (/.f64 x (fma.f64 y x y)))) |
(fma.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (/.f64 x y) (*.f64 (/.f64 x (fma.f64 y x y)) y)) |
(fma.f64 x (/.f64 x (fma.f64 y x y)) (*.f64 y (/.f64 x (fma.f64 y x y)))) |
(fma.f64 x (/.f64 x (fma.f64 y x y)) (*.f64 (/.f64 x (fma.f64 y x y)) y)) |
(+.f64 (*.f64 y (/.f64 x (fma.f64 y x y))) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(+.f64 (*.f64 (/.f64 x (fma.f64 y x y)) y) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(+.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) (*.f64 y (/.f64 x (fma.f64 y x y)))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) (*.f64 (/.f64 x (fma.f64 y x y)) y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y (*.f64 x 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 y y (*.f64 x (-.f64 x 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 y y (*.f64 x (-.f64 x y))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)) |
(/.f64 (neg.f64 (fma.f64 y y (*.f64 x 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 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (fma.f64 y y (*.f64 x 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 y y (*.f64 x (-.f64 x y)))) |
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) y) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) y) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 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 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(+.f64 y x) |
(+.f64 x y) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 y x) y)) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 x (neg.f64 (neg.f64 (neg.f64 (fma.f64 y x y))))) |
(/.f64 x (neg.f64 (neg.f64 (fma.f64 y x y)))) |
(/.f64 x (neg.f64 (fma.f64 y x y))) |
(/.f64 x (fma.f64 y x y)) |
(neg.f64 (/.f64 x (fma.f64 y x y))) |
#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) |
(*.f64 x #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 x (neg.f64 (neg.f64 y))) |
(/.f64 x (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 x y)) |
(*.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(neg.f64 x) |
(sqrt.f64 (*.f64 x x)) |
(fabs.f64 x) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
x |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) |
(*.f64 x #s(approx (/ x (+ (* y x) y)) (/.f64 x y))) |
#s(approx (/ x (+ (* y x) y)) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 x (neg.f64 (neg.f64 y))) |
(/.f64 x (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 x y)) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 y x) y)) |
(*.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(*.f64 (/.f64 x y) (/.f64 x (+.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (/.f64 x y)) |
(*.f64 x (/.f64 x (fma.f64 y x y))) |
(/.f64 (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal -1 binary64) x)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal -1 binary64) x)))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) x)) (neg.f64 y)) |
(/.f64 (*.f64 x (/.f64 x (+.f64 #s(literal -1 binary64) x))) (neg.f64 y)) |
(/.f64 (*.f64 x (/.f64 x (+.f64 #s(literal -1 binary64) x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) x) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) x) y) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (neg.f64 (+.f64 #s(literal -1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (/.f64 x y) x) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (/.f64 x y) x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x x) (neg.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 x x) (neg.f64 (*.f64 y (+.f64 #s(literal -1 binary64) x)))) |
(/.f64 (*.f64 x x) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) y))) |
(/.f64 (*.f64 x x) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)))) |
(/.f64 (*.f64 x x) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y x y))))) |
(/.f64 (*.f64 x x) (neg.f64 (*.f64 (neg.f64 y) (+.f64 #s(literal -1 binary64) x)))) |
(/.f64 (*.f64 x x) (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 x x) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (neg.f64 y)))) |
(/.f64 (*.f64 x x) (neg.f64 (neg.f64 (fma.f64 y x y)))) |
(/.f64 (*.f64 x x) (*.f64 (neg.f64 y) (+.f64 #s(literal -1 binary64) x))) |
(/.f64 (*.f64 x x) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 #s(literal -1 binary64) x))) |
(/.f64 (*.f64 x x) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1 binary64) x) (neg.f64 y))) |
(/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1 binary64) x) y)) |
(/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y))) |
(/.f64 (*.f64 x x) (neg.f64 (fma.f64 y x y))) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(neg.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 x x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 y y (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x) (*.f64 y (*.f64 (neg.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (*.f64 (-.f64 (*.f64 y x) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y x) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y x) y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 y x y) |
(fma.f64 x y y) |
(-.f64 (/.f64 (*.f64 y y) (fma.f64 y x y)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y))) |
(-.f64 y (*.f64 (neg.f64 y) x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 y x) y))) |
(+.f64 (*.f64 y x) y) |
(+.f64 y (*.f64 y x)) |
Compiled 10 137 to 1 115 computations (89% saved)
17 alts after pruning (8 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 300 | 4 | 304 |
| Fresh | 3 | 4 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 5 | 6 |
| Total | 305 | 17 | 322 |
| Status | Accuracy | Program |
|---|---|---|
| 30.6% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)) (*.f64 (sqrt.f64 (neg.f64 x)) x) x) (+.f64 x #s(literal 1 binary64))) | |
| ✓ | 86.0% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| 63.6% | (/.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))) | |
| ✓ | 99.9% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| ✓ | 38.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
| ✓ | 49.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
| ✓ | 46.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
| ✓ | 20.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
| 43.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) | |
| ✓ | 44.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
| 9.8% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x)) | |
| ✓ | 38.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)) |
| ✓ | 2.9% | #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y)) |
| 43.3% | #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) | |
| 23.4% | #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x) (*.f64 (-.f64 y x) (neg.f64 (fma.f64 y x y))))) | |
| 45.1% | #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) | |
| 53.1% | #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 1 098 to 396 computations (63.9% 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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) 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 #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 (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 (+ 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)) |
#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 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x) (*.f64 (-.f64 y x) (neg.f64 (fma.f64 y x y))))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)) (*.f64 (sqrt.f64 (neg.f64 x)) x) x) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 x (*.f64 (/.f64 (neg.f64 x) y) x))))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 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:
| 23.0ms | x |
| 9.0ms | y |
| 8.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 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)) |
#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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) 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 #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 (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 (+ 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)) |
#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:
| 6.0ms | y |
| 6.0ms | x |
| 6.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | x |
| 95.4% | 3 | y |
| 99.9% | 3 | (/.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)) |
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) 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 #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 (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 (+ 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)) |
#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)))) |
#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)))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | x |
| 99.1% | 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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) 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 #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 (+ (/ 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 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:
| 24.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 4.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 5 | y |
| 89.2% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 92.1% | 4 | 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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) 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 #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)))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) 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 #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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) |
2 calls:
| 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 |
|---|---|---|
| 88.9% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 80.2% | 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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) |
2 calls:
| 6.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 3 | x |
| 78.5% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ 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:
| 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 |
|---|---|---|
| 44.6% | 1 | y |
| 44.6% | 1 | x |
| 44.6% | 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 | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.9% | 1 | y |
| 44.9% | 2 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 44.4% | 3 | x |
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:
| 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 |
|---|---|---|
| 38.9% | 1 | x |
| 38.9% | 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 | 4.284982892830836e+166 | 5.49978737600799e+168 |
| 0.0ms | -32166290980159428.0 | -6574179406815253.0 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.278789796655168e-11 | 627326764601.5636 |
| 15.0ms | -28.02744220165068 | -0.00027448132696988783 |
| 18.0ms | 320× | 0 | valid |
Compiled 1 194 to 753 computations (36.9% saved)
ival-div: 5.0ms (42.2% of total)ival-add: 4.0ms (33.8% of total)ival-mult: 2.0ms (16.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.278789796655168e-11 | 627326764601.5636 |
| 14.0ms | 1.2545882209632883e-169 | 4.579374876715626e-159 |
| 13.0ms | -1.6827580493147445e+53 | -1.0882477516832455e+44 |
| 22.0ms | 368× | 0 | valid |
Compiled 1 444 to 977 computations (32.3% saved)
ival-div: 5.0ms (43.5% of total)ival-add: 3.0ms (26.1% of total)ival-mult: 2.0ms (17.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 6.8385480541394075e-12 | 1.278789796655168e-11 |
| 1.0ms | -1.6827580493147445e+53 | -1.0882477516832455e+44 |
| 3.0ms | 64× | 0 | valid |
Compiled 586 to 416 computations (29% saved)
ival-div: 1.0ms (50.9% of total)ival-add: 1.0ms (50.9% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0369994316346711 | 10015284.444034496 |
| 0.0ms | -238027089988.9349 | -0.0002745566876538435 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.838548054092642e-12 | 0.9999999929090703 |
| 0.0ms | -238027089988.9349 | -0.0002745566876538435 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -6574179406815253.0 | -238027089988.9349 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
Useful iterations: 15 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 571 |
| 1 | 175 | 571 |
| 2 | 281 | 571 |
| 3 | 591 | 571 |
| 4 | 1611 | 571 |
| 5 | 3662 | 571 |
| 6 | 4955 | 571 |
| 7 | 5150 | 571 |
| 8 | 5154 | 571 |
| 9 | 5154 | 571 |
| 10 | 5154 | 571 |
| 11 | 5154 | 571 |
| 12 | 5198 | 571 |
| 13 | 5203 | 571 |
| 14 | 5208 | 565 |
| 15 | 5216 | 559 |
| 16 | 5253 | 559 |
| 17 | 5379 | 559 |
| 18 | 5478 | 559 |
| 19 | 5478 | 559 |
| 20 | 5478 | 559 |
| 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 -20000000000000000 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 50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 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 7566047373982433/9007199254740992 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 -109999999999999997819273168697414265740460032 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 3824193548280723/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 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 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 -109999999999999997819273168697414265740460032 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 7737125245533627/618970019642690137449562112 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 -200000000000 binary64)) #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -200000000000 binary64)) #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 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)) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000000 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 -20000000000000000 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 50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 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 -20000000000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 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 7566047373982433/9007199254740992 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 7566047373982433/9007199254740992 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 -109999999999999997819273168697414265740460032 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 3824193548280723/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 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 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 -109999999999999997819273168697414265740460032 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 3824193548280723/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (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 -109999999999999997819273168697414265740460032 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 7737125245533627/618970019642690137449562112 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 -109999999999999997819273168697414265740460032 binary64)) (not (<=.f64 x #s(literal 7737125245533627/618970019642690137449562112 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 -200000000000 binary64)) #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)))) |
(if (or (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -200000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -200000000000 binary64)) #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #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 (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)))) |
(if (or (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -200000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 6189700196426901/618970019642690137449562112 binary64)))) #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 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 (+ (/ 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 -5000000000000000 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 | 39 | 243 |
| 0 | 56 | 243 |
| 1 | 215 | 243 |
| 2 | 1530 | 243 |
| 0 | 8150 | 225 |
| 0 | 216 | 965 |
| 1 | 662 | 915 |
| 2 | 1816 | 861 |
| 3 | 6179 | 859 |
| 0 | 8371 | 831 |
| 0 | 46 | 204 |
| 0 | 56 | 204 |
| 1 | 223 | 200 |
| 2 | 1682 | 193 |
| 0 | 8988 | 182 |
| 0 | 90 | 321 |
| 1 | 253 | 304 |
| 2 | 674 | 291 |
| 3 | 3720 | 289 |
| 0 | 8258 | 273 |
| 0 | 8 | 29 |
| 0 | 13 | 29 |
| 1 | 55 | 29 |
| 2 | 373 | 29 |
| 3 | 3922 | 29 |
| 0 | 8666 | 27 |
| 0 | 235 | 1135 |
| 1 | 709 | 1027 |
| 2 | 2273 | 953 |
| 3 | 7492 | 949 |
| 0 | 8060 | 912 |
| 0 | 250 | 1107 |
| 1 | 759 | 944 |
| 2 | 2376 | 887 |
| 0 | 8407 | 848 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 139 to 434 computations (61.9% saved)
Compiled 1 190 to 256 computations (78.5% saved)
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