
Time bar (total: 6.1s)
| 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)
| 671.0ms | 8 256× | 0 | valid |
ival-div: 148.0ms (38.8% of total)ival-mult: 125.0ms (32.8% of total)ival-add: 95.0ms (24.9% of total)ival-true: 6.0ms (1.6% of total)exact: 5.0ms (1.3% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 34 | 0 | - | 0 | - | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 x y) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | o/n | 34 | 0 |
| ↳ | (/.f64 x y) | overflow | 31 | |
| ↳ | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | overflow | 65 | |
| ↳ | (+.f64 (/.f64 x y) #s(literal 1 binary64)) | overflow | 31 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 34 | 0 |
| - | 0 | 222 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 34 | 0 | 0 |
| - | 0 | 0 | 222 |
| number | freq |
|---|---|
| 0 | 222 |
| 1 | 34 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 512× | 0 | valid |
Compiled 143 to 53 computations (62.9% saved)
ival-div: 7.0ms (43.6% of total)ival-add: 5.0ms (31.2% of total)ival-mult: 3.0ms (18.7% 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 | 81 | 57 |
| 2 | 207 | 55 |
| 3 | 680 | 55 |
| 4 | 1654 | 55 |
| 5 | 3109 | 55 |
| 6 | 4447 | 55 |
| 7 | 5053 | 55 |
| 8 | 5609 | 55 |
| 9 | 6055 | 55 |
| 10 | 6151 | 55 |
| 11 | 6653 | 55 |
| 12 | 7061 | 55 |
| 13 | 7281 | 55 |
| 14 | 7593 | 55 |
| 15 | 7817 | 55 |
| 16 | 7825 | 55 |
| 17 | 7825 | 55 |
| 0 | 8 | 11 |
| 0 | 13 | 11 |
| 1 | 26 | 11 |
| 2 | 35 | 11 |
| 3 | 63 | 11 |
| 4 | 100 | 11 |
| 5 | 157 | 11 |
| 6 | 238 | 11 |
| 7 | 269 | 11 |
| 8 | 275 | 11 |
| 9 | 289 | 11 |
| 10 | 291 | 11 |
| 11 | 291 | 11 |
| 12 | 292 | 11 |
| 13 | 294 | 11 |
| 14 | 302 | 11 |
| 0 | 302 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.6% | (/.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 | 128 | (*.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 | 35 | 32 |
| 3 | 63 | 32 |
| 4 | 100 | 32 |
| 5 | 157 | 32 |
| 6 | 238 | 32 |
| 7 | 269 | 32 |
| 8 | 275 | 32 |
| 9 | 289 | 32 |
| 10 | 291 | 32 |
| 11 | 291 | 32 |
| 12 | 292 | 32 |
| 13 | 294 | 32 |
| 14 | 302 | 32 |
| 0 | 302 | 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 | (+.f64 (/.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.06640625 | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 7.931950708989669 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 14.0ms | 256× | 0 | valid |
Compiled 66 to 18 computations (72.7% saved)
ival-div: 4.0ms (51.4% of total)ival-add: 2.0ms (25.7% of total)ival-mult: 2.0ms (25.7% 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 | |
|---|---|---|---|---|
| 5.0ms | 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 | 331 |
| 1 | 250 | 314 |
| 2 | 660 | 270 |
| 3 | 3414 | 257 |
| 0 | 9121 | 246 |
| 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)))) |
(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)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x #s(literal -1 binary64)) (-.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 #s(literal 1 binary64) x) |
(/ (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 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)) x) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.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 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) x)) #s(literal -1 binary64)) x) x (/.f64 x y)) |
(/ (+ (* x y) (pow x 2)) y) |
(*.f64 (/.f64 x y) (+.f64 y 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 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 0 | 13 | 29 |
| 1 | 62 | 29 |
| 2 | 454 | 29 |
| 3 | 7068 | 29 |
| 0 | 8044 | 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 (*.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 (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 #s(literal 1 binary64) (/.f64 x y)) #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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 x y) x 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 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.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 x y))) |
(pow.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x)) #s(literal -1 binary64)) |
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(neg.f64 (/.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 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)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x 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)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 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 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 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 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (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 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 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 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 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 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 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))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.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 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #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 0 binary64) (-.f64 #s(literal -1 binary64) x)) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 8 890 to 1 220 computations (86.3% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 406 | 10 | 416 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 407 | 10 | 417 |
| Status | Accuracy | Program |
|---|---|---|
| 87.6% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) | |
| 68.8% | (/.f64 (*.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 x #s(literal 1 binary64))) | |
| 51.5% | (/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| ▶ | 87.5% | (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 37.9% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 99.9% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| ▶ | 58.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
| 49.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) | |
| ▶ | 51.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
| 45.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
Compiled 330 to 216 computations (34.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 128 | (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| 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 | 128 | (*.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 | 28 | 182 |
| 0 | 45 | 176 |
| 1 | 90 | 172 |
| 2 | 136 | 172 |
| 3 | 218 | 172 |
| 4 | 342 | 172 |
| 5 | 524 | 172 |
| 6 | 717 | 172 |
| 7 | 1059 | 172 |
| 8 | 1577 | 172 |
| 9 | 3160 | 172 |
| 10 | 5074 | 172 |
| 11 | 5778 | 172 |
| 12 | 5963 | 172 |
| 13 | 6066 | 172 |
| 14 | 6113 | 172 |
| 15 | 7238 | 172 |
| 0 | 8367 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
x |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x y) |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
x |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
#s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
x |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
(+.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 x #s(literal -1 binary64))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
x |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#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 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
x |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x #s(literal -1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (-.f64 x #s(literal -1 binary64))) |
#s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
x |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x y) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.06640625 | (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) | |
| accuracy | 0.28140520710281713 | (/.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| accuracy | 7.931950708989669 | (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.09765625 | (*.f64 (/.f64 x y) x) | |
| accuracy | 7.931950708989669 | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 31.89978735667134 | #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (+.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.07421875 | (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 26.765414767129016 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.015625 | (/.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 31.054455213854677 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.015625 | (/.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.03125 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| 67.0ms | 256× | 0 | valid |
Compiled 340 to 54 computations (84.1% saved)
ival-add: 29.0ms (60.2% of total)ival-div: 11.0ms (22.8% of total)ival-mult: 7.0ms (14.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 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 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x #s(literal -1 binary64)) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
#s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
1 |
(+ 1 x) |
(+ 1 (/ x y)) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
-1 |
(- x 1) |
(* x (+ 1 (/ x 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)))))) |
(- 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))) |
(* x (- 1 (/ 1 x))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ x y) y) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ 1 y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (/ (pow x 2) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (/ 1 y) (+ x -1)) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ 1 y) (+ x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* (/ x y) x) (/ x y) (/ 1 (/ y x)) (* x (+ (/ 1 (/ y x)) 1)) (/ (* x (+ (/ 1 (/ y x)) 1)) (+ x 1)) (+ (/ 1 (/ y x)) 1) (+ x 1)) |
| 2.0ms | y | @ | 0 | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (/ 1 y) (+ x -1)) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ 1 y) (+ x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* (/ x y) x) (/ x y) (/ 1 (/ y x)) (* x (+ (/ 1 (/ y x)) 1)) (/ (* x (+ (/ 1 (/ y x)) 1)) (+ x 1)) (+ (/ 1 (/ y x)) 1) (+ x 1)) |
| 2.0ms | x | @ | -inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (/ 1 y) (+ x -1)) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ 1 y) (+ x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* (/ x y) x) (/ x y) (/ 1 (/ y x)) (* x (+ (/ 1 (/ y x)) 1)) (/ (* x (+ (/ 1 (/ y x)) 1)) (+ x 1)) (+ (/ 1 (/ y x)) 1) (+ x 1)) |
| 2.0ms | y | @ | -inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (/ 1 y) (+ x -1)) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ 1 y) (+ x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* (/ x y) x) (/ x y) (/ 1 (/ y x)) (* x (+ (/ 1 (/ y x)) 1)) (/ (* x (+ (/ 1 (/ y x)) 1)) (+ x 1)) (+ (/ 1 (/ y x)) 1) (+ x 1)) |
| 2.0ms | x | @ | inf | ((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (/ 1 y) (+ x -1)) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ 1 y) (+ x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* x (+ (/ x y) 1)) (* (/ x y) x) (/ x y) (/ 1 (/ y x)) (* x (+ (/ 1 (/ y x)) 1)) (/ (* x (+ (/ 1 (/ y x)) 1)) (+ x 1)) (+ (/ 1 (/ y x)) 1) (+ x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 444 |
| 1 | 354 | 428 |
| 2 | 915 | 388 |
| 3 | 4339 | 376 |
| 0 | 8260 | 363 |
| 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 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
-1 |
(- x 1) |
(* x (+ 1 (/ x 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)))))) |
(- 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))) |
(* x (- 1 (/ 1 x))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ x y) y) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ 1 y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (/ (pow x 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)))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #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 (-.f64 (/.f64 x y) x) (-.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 x))) |
(fma.f64 (neg.f64 x) 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 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (/ x y)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x (/.f64 #s(literal -1 binary64) x))) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)) #s(literal -1 binary64)) x) x (/.f64 x 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 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(/ (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 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ (* x y) (pow x 2)) y) |
(*.f64 x (/.f64 (+.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 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 150 |
| 0 | 45 | 142 |
| 1 | 197 | 140 |
| 2 | 1476 | 140 |
| 0 | 8294 | 133 |
| 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 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x #s(literal -1 binary64)) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
#s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x 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)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.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 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #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 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 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 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x))))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #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 (pow.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 x #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 20 379 to 2 380 computations (88.3% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 895 | 8 | 903 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 900 | 13 | 913 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.6% | (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
| 68.8% | (/.f64 (*.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 x #s(literal 1 binary64))) | |
| 37.8% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 x (/.f64 y x))) (+.f64 x #s(literal 1 binary64))) | |
| 18.6% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)) (+.f64 x #s(literal 1 binary64))) | |
| ✓ | 37.9% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
| 49.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) | |
| ✓ | 51.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
| 34.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| ▶ | 58.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
| ▶ | 45.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
| ▶ | 38.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) |
| 19.8% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 39.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
Compiled 470 to 312 computations (33.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y x y) | |
| cost-diff | 0 | (/.f64 x (fma.f64 y x y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (fma.f64 y x y)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) x x) | |
| cost-diff | 0 | #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) | |
| cost-diff | 0 | (-.f64 x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) x x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 197 |
| 0 | 48 | 193 |
| 1 | 93 | 189 |
| 2 | 132 | 189 |
| 3 | 243 | 189 |
| 4 | 348 | 189 |
| 5 | 620 | 189 |
| 6 | 802 | 189 |
| 7 | 1104 | 189 |
| 8 | 1965 | 189 |
| 9 | 2258 | 189 |
| 10 | 2287 | 189 |
| 11 | 2287 | 189 |
| 12 | 2299 | 189 |
| 13 | 2301 | 189 |
| 0 | 2301 | 189 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.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) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) |
#s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x)) |
(fma.f64 (neg.f64 x) x x) |
(neg.f64 x) |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
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 |
| Outputs |
|---|
(/.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) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) |
#s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x)) |
(fma.f64 (neg.f64 x) x x) |
(neg.f64 x) |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
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 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y x y) | |
| accuracy | 0.15234375 | (*.f64 (/.f64 x (fma.f64 y x y)) x) | |
| accuracy | 9.35845658414319 | (/.f64 x (fma.f64 y x y)) | |
| accuracy | 31.84651069631145 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| accuracy | 26.765414767129016 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| accuracy | 26.765414767129016 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) | |
| accuracy | 27.247431317149644 | #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) | |
| accuracy | 0 | (fma.f64 (neg.f64 x) x x) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 31.054455213854677 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) | |
| accuracy | 36.88423040745412 | #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (-.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.05859375 | (fma.f64 (/.f64 x y) x x) | |
| accuracy | 7.931950708989669 | (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
| 52.0ms | 256× | 0 | valid |
Compiled 345 to 66 computations (80.9% saved)
ival-add: 13.0ms (34.1% of total)ival-div: 12.0ms (31.4% of total)ival-mult: 9.0ms (23.6% of total)ival-sub: 2.0ms (5.2% of total)ival-neg: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.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)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) |
#s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x)) |
(fma.f64 (neg.f64 x) x x) |
(neg.f64 x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/.f64 x (fma.f64 y x y)) |
(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)))) |
(* x (+ 1 (/ x y))) |
(/ x y) |
1 |
(+ 1 x) |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(* -1 x) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
-1 |
(- x 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 (+ (* -1 (/ x y)) (/ 1 y))) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
y |
(+ y (* x y)) |
(* x (- (+ (/ 1 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) (+ (/ 1 x) (/ 1 y))) |
(* x (+ 1 (/ 1 x))) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- 1 (/ 1 x))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(* x y) |
(* x (+ y (/ y x))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -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))))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (/ (pow x 2) y)) |
(* -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 y) x) x) (- x -1)) (+ (* (/ x y) x) x) (/ x y) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ 1 x)) (+ (* (neg x) x) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (/ 1 y) (+ x -1)) 1) (/ (- x 1) y) (- x 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ (- x 1) y) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y)) |
| 2.0ms | x | @ | -inf | ((/ (+ (* (/ x y) x) x) (- x -1)) (+ (* (/ x y) x) x) (/ x y) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ 1 x)) (+ (* (neg x) x) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (/ 1 y) (+ x -1)) 1) (/ (- x 1) y) (- x 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ (- x 1) y) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y)) |
| 2.0ms | y | @ | 0 | ((/ (+ (* (/ x y) x) x) (- x -1)) (+ (* (/ x y) x) x) (/ x y) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ 1 x)) (+ (* (neg x) x) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (/ 1 y) (+ x -1)) 1) (/ (- x 1) y) (- x 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ (- x 1) y) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y)) |
| 2.0ms | x | @ | inf | ((/ (+ (* (/ x y) x) x) (- x -1)) (+ (* (/ x y) x) x) (/ x y) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ 1 x)) (+ (* (neg x) x) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (/ 1 y) (+ x -1)) 1) (/ (- x 1) y) (- x 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ (- x 1) y) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y)) |
| 2.0ms | y | @ | inf | ((/ (+ (* (/ x y) x) x) (- x -1)) (+ (* (/ x y) x) x) (/ x y) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ 1 x)) (+ (* (neg x) x) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (/ 1 y) (+ x -1)) 1) (/ (- x 1) y) (- x 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ (- x 1) y) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 846 |
| 1 | 603 | 800 |
| 2 | 1660 | 714 |
| 3 | 7531 | 702 |
| 0 | 8855 | 670 |
| 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 (/ x y))) |
(/ x y) |
1 |
(+ 1 x) |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(* -1 x) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
-1 |
(- x 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 (+ (* -1 (/ x y)) (/ 1 y))) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
y |
(+ y (* x y)) |
(* x (- (+ (/ 1 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) (+ (/ 1 x) (/ 1 y))) |
(* x (+ 1 (/ 1 x))) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- 1 (/ 1 x))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(* x y) |
(* x (+ y (/ y x))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -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))))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (/ (pow x 2) y)) |
(* -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)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x) |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(/ x y) |
(/.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (* -1 x))) |
(fma.f64 (neg.f64 x) x x) |
(* x (+ 1 (* x (- x 1)))) |
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x y)) x) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) x) x) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) x (/.f64 #s(literal 1 binary64) y)) x) x) |
(* x (+ (* -1 (/ x y)) (/ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x y)) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) x (/.f64 #s(literal 1 binary64) y)) x) |
y |
(+ y (* x y)) |
(fma.f64 y x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) x)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ 1 x) 1)) |
(fma.f64 (neg.f64 x) x x) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x y))) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) x)) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) x)) x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) x) x (/.f64 x y)) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) x) x (/.f64 x y)) |
(+ 1 (* -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 (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 (-.f64 (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) 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 (-.f64 x #s(literal 1 binary64)) y) x) x)) 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 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(*.f64 x (/.f64 (+.f64 y x) y)) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 y x y)) |
(* 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 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(/.f64 x (fma.f64 y x y)) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 177 |
| 0 | 48 | 169 |
| 1 | 237 | 169 |
| 2 | 1750 | 169 |
| 0 | 8290 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) |
#s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x)) |
(fma.f64 (neg.f64 x) x x) |
(neg.f64 x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/.f64 x (fma.f64 y x y)) |
(fma.f64 y x y) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))))) |
(*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) 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)) |
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(*.f64 (*.f64 x x) (pow.f64 (fma.f64 y x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y x y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 x (/.f64 x (fma.f64 y x y))) |
(pow.f64 (/.f64 (fma.f64 y x y) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 (fma.f64 y x y)))) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 y x y))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (fma.f64 y x y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x y) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y x y) (*.f64 x x)))) |
(/.f64 x (/.f64 (fma.f64 y x y) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y x y))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 y x y)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y x y))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (neg.f64 y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 y x (neg.f64 y))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 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 (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 y x (neg.f64 y)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (fma.f64 y x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y x y))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (fma.f64 y x y)))) |
(*.f64 x (pow.f64 (fma.f64 y x y) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 y x y) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y x y) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y x y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y x y))) (*.f64 (neg.f64 (fma.f64 y x y)) x)) (*.f64 (neg.f64 (fma.f64 y x y)) (neg.f64 (fma.f64 y x y)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 y x y)))) |
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 y x y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 y x y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x y) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 y x y) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y x y) x))) |
(/.f64 x (fma.f64 y x y)) |
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 y x y))) |
(neg.f64 (/.f64 x (neg.f64 (fma.f64 y x y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y x y))) (/.f64 x (neg.f64 (fma.f64 y x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y x y) x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 y x (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 x #s(literal -1 binary64)) y) |
(pow.f64 (/.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 y x (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 y))) (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 y x (neg.f64 y)) (fma.f64 y x (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y (*.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 y x (neg.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #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 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 y x (neg.f64 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 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 #s(literal 1 binary64) (/.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 y x y) |
(fma.f64 x y y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 y (*.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 y x (neg.f64 y)))) |
(+.f64 (*.f64 y x) y) |
(+.f64 y (*.f64 y x)) |
Compiled 26 837 to 3 021 computations (88.7% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 897 | 9 | 906 |
| Fresh | 2 | 4 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 901 | 18 | 919 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.6% | (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
| ▶ | 68.8% | (/.f64 (*.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 x #s(literal 1 binary64))) |
| 18.6% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)) (+.f64 x #s(literal 1 binary64))) | |
| ✓ | 37.9% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
| 49.1% | #s(approx (/ (+ (* (/ x y) x) x) (- x -1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) | |
| 35.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) | |
| 45.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x))) | |
| ✓ | 51.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
| ▶ | 34.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) |
| ✓ | 58.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
| ▶ | 45.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x)) |
| ▶ | 40.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
| 19.8% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) | |
| 38.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) | |
| ▶ | 8.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
| ✓ | 39.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
| 3.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) | |
| 19.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 x y) x))) |
Compiled 682 to 442 computations (35.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x)) | |
| cost-diff | 128 | (*.f64 (-.f64 x #s(literal -1 binary64)) y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) | |
| cost-diff | 0 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 0 | #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)) | |
| cost-diff | 0 | #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x))) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) | |
| cost-diff | 0 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.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 x #s(literal 1 binary64))) | |
| cost-diff | 8192 | (*.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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 268 |
| 0 | 60 | 268 |
| 1 | 103 | 265 |
| 2 | 155 | 265 |
| 3 | 334 | 265 |
| 4 | 1026 | 249 |
| 5 | 3118 | 249 |
| 6 | 4989 | 249 |
| 0 | 8237 | 236 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.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 x #s(literal 1 binary64))) |
(*.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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x))) |
#s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64))) |
x |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#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)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x)) |
(*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x) |
(/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) |
x |
(*.f64 (-.f64 x #s(literal -1 binary64)) y) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
y |
| Outputs |
|---|
(/.f64 (*.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 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x y) x x) |
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x))) |
#s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64))) |
x |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#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)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) |
(/.f64 x (fma.f64 y x y)) |
x |
(*.f64 (-.f64 x #s(literal -1 binary64)) y) |
(fma.f64 y x y) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (*.f64 (-.f64 x #s(literal -1 binary64)) y) | |
| accuracy | 0.15234375 | (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x) | |
| accuracy | 9.35845658414319 | (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) | |
| accuracy | 31.84651069631145 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.15234375 | (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 26.307241467272615 | #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 31.84651069631145 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) | |
| accuracy | 0.015625 | (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| accuracy | 31.054455213854677 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) | |
| accuracy | 36.4991352208698 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 25.966746917587198 | #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)) | |
| accuracy | 31.054455213854677 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) | |
| accuracy | 36.88423040745412 | #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x))) | |
| accuracy | 0.22265625 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) | |
| accuracy | 4.277685221346312 | (*.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)))) | |
| accuracy | 7.31598424586392 | (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 7.931950708989669 | (/.f64 (*.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 x #s(literal 1 binary64))) |
| 126.0ms | 256× | 0 | valid |
Compiled 459 to 76 computations (83.4% saved)
ival-mult: 43.0ms (62.8% of total)ival-div: 13.0ms (19% of total)ival-add: 5.0ms (7.3% of total)ival-sub: 3.0ms (4.4% of total)ival-pow2: 3.0ms (4.4% of total)ival-neg: 1.0ms (1.5% 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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.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 x #s(literal 1 binary64))) |
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x))) |
#s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 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)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 (-.f64 x #s(literal -1 binary64)) y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x)) |
(*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x) |
(/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) |
(/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(neg.f64 x) |
| Outputs |
|---|
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (* x (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(* x (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* (- (/ 1 y) 1) (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2)))))) (* -1 (/ (- (/ 1 y) 1) y))))) (/ 1 y)) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
-1 |
(- (/ (pow x 2) (pow y 2)) 1) |
(/ (pow x 2) (pow y 2)) |
(* 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 (pow x 2)) |
1 |
(+ 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))) |
(/ 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 |
(+ y (* x y)) |
(* -1 x) |
(* x (- (* -1 (/ x y)) 1)) |
(* x (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ (+ (* -1 (* y (- 1 (/ 1 y)))) (* y (* (- (+ 1 (* -1 y)) (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))) (- (/ 1 y) 1)))) (pow x 3))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2)))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* 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)))) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* x (+ 1 (/ 1 x))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(* x y) |
(* x (+ y (/ y x))) |
(+ y (/ (pow y 2) x)) |
(- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) |
(- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (* (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) (- (/ 1 y) 1))) x)) (* -1 (/ (* y (- 1 (/ 1 y))) x)))) (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* 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 (* 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))))) |
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) |
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(/ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(* y (+ 1 (/ y x))) |
(* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))) |
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))) |
(+ x (/ (pow x 2) y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (* -1 x) (* -1 (/ (pow x 2) y))) |
(- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) |
(- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) |
(+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (/ (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (+ x 1)) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ 1 x)) (+ (* (neg x) x) x) (* (neg x) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ 1 x)) (+ 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (* (- x -1) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (* (- x -1) y)) x) (/ x (* (- x -1) y)) (/ x (- (/ x y) 1)) (neg x)) |
| 4.0ms | y | @ | -inf | ((* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (/ (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (+ x 1)) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ 1 x)) (+ (* (neg x) x) x) (* (neg x) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ 1 x)) (+ 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (* (- x -1) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (* (- x -1) y)) x) (/ x (* (- x -1) y)) (/ x (- (/ x y) 1)) (neg x)) |
| 4.0ms | y | @ | inf | ((* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (/ (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (+ x 1)) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ 1 x)) (+ (* (neg x) x) x) (* (neg x) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ 1 x)) (+ 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (* (- x -1) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (* (- x -1) y)) x) (/ x (* (- x -1) y)) (/ x (- (/ x y) 1)) (neg x)) |
| 3.0ms | x | @ | inf | ((* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (/ (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (+ x 1)) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ 1 x)) (+ (* (neg x) x) x) (* (neg x) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ 1 x)) (+ 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (* (- x -1) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (* (- x -1) y)) x) (/ x (* (- x -1) y)) (/ x (- (/ x y) 1)) (neg x)) |
| 3.0ms | y | @ | 0 | ((* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (/ (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (+ x 1)) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ 1 x)) (+ (* (neg x) x) x) (* (neg x) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ 1 x)) (+ 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (* (- x -1) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (* (- x -1) y)) x) (/ x (* (- x -1) y)) (/ x (- (/ x y) 1)) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 343 | 1453 |
| 1 | 1066 | 1359 |
| 2 | 3209 | 1244 |
| 0 | 8276 | 1180 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (* x (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(* x (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* (- (/ 1 y) 1) (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2)))))) (* -1 (/ (- (/ 1 y) 1) y))))) (/ 1 y)) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
-1 |
(- (/ (pow x 2) (pow y 2)) 1) |
(/ (pow x 2) (pow y 2)) |
(* 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 (pow x 2)) |
1 |
(+ 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))) |
(/ 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 |
(+ y (* x y)) |
(* -1 x) |
(* x (- (* -1 (/ x y)) 1)) |
(* x (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ (+ (* -1 (* y (- 1 (/ 1 y)))) (* y (* (- (+ 1 (* -1 y)) (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))) (- (/ 1 y) 1)))) (pow x 3))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2)))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(* 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)))) |
(* (pow x 2) (- (/ 1 x) 1)) |
(* x (+ 1 (/ 1 x))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(* x y) |
(* x (+ y (/ y x))) |
(+ y (/ (pow y 2) x)) |
(- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) |
(- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (* (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) (- (/ 1 y) 1))) x)) (* -1 (/ (* y (- 1 (/ 1 y))) x)))) (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* 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 (* 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))))) |
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) |
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(/ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(* y (+ 1 (/ y x))) |
(* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))) |
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))) |
(+ x (/ (pow x 2) y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (* -1 x) (* -1 (/ (pow x 2) y))) |
(- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) |
(- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) |
(+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))) |
| Outputs |
|---|
x |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* x (+ 1 (* x (- (* x (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 2 binary64))) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) |
(* x (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (* (- (/ 1 y) 1) (- (/ 1 y) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2)))))) (* -1 (/ (- (/ 1 y) 1) y))))) (/ 1 y)) (+ (* -1 (pow (- (/ 1 y) 1) 2)) (/ 1 (pow y 2))))) (* -1 (- (/ 1 y) 1)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (neg.f64 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) |
-1 |
#s(literal -1 binary64) |
(- (/ (pow x 2) (pow y 2)) 1) |
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #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 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) x) |
(* x (+ 1 (* x (- x 1)))) |
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x y)) x) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) x) x) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) x (/.f64 #s(literal 1 binary64) y)) x) x) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x y)) (/ 1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x y)) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 x y) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) x (/.f64 #s(literal 1 binary64) y)) x) |
y |
(+ y (* x y)) |
(fma.f64 y x y) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 (/ x y)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) |
(* x (- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)) |
(neg.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) x (/.f64 #s(literal -1 binary64) y)) x #s(literal -1 binary64)) 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 (/ y (pow x 2))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(fma.f64 x (fma.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 y (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) y))) x #s(literal 1 binary64))) |
(* x (- (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ (+ (* -1 (* y (- 1 (/ 1 y)))) (* y (* (- (+ 1 (* -1 y)) (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))) (- (/ 1 y) 1)))) (pow x 3))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (pow x 2)))))) (+ (/ 1 (* x y)) (/ (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1))) (pow x 2))))) |
(fma.f64 x (fma.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 y (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 2 binary64)) y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) y))) x #s(literal 1 binary64))) |
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x x)) |
(* 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 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(fma.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 2) (- (/ 1 x) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) x (/.f64 x y)) |
(* 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))))) |
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) x (/.f64 x y)) |
(/ 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 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) 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)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(+ y (/ (pow y 2) x)) |
(fma.f64 (/.f64 y x) y y) |
(- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) |
(- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) |
(+.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) y)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ y (+ (* -1 (/ (* y (* (- y (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) (- (/ 1 y) 1))) x)) (* -1 (/ (* y (- 1 (/ 1 y))) x)))) (+ 1 (* -1 (* y (* (- 1 (/ 1 y)) (- (/ 1 y) 1)))))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 2 binary64)) y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) x) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) y)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.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 #s(literal 1 binary64) y)) 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.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)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) x) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x)) x) (/.f64 #s(literal 1 binary64) y)) 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 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x)) x) (/.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) |
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) |
(-.f64 y (/.f64 (neg.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x))) x)) |
(/ (+ (* x y) (pow x 2)) y) |
(/.f64 (*.f64 x (+.f64 y x)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) y) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 y x y)) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) y y) |
(* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) |
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) y (/.f64 y (*.f64 x x))) y (/.f64 y x)) y y) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (* -1 x) (* -1 (/ (pow x 2) y))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x) |
(- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) |
(neg.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)) |
(- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) |
(neg.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(/.f64 x (fma.f64 y x y)) |
(+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y))) |
(neg.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x)) |
(+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))) |
(neg.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 241 |
| 0 | 60 | 241 |
| 1 | 235 | 222 |
| 2 | 1634 | 222 |
| 0 | 8568 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 (*.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 x #s(literal 1 binary64))) |
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x))) |
#s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 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)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 (-.f64 x #s(literal -1 binary64)) y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x)) |
(*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x) |
(/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) |
(/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
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(/.f64 (neg.f64 (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y x y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y x y))) (*.f64 (neg.f64 (fma.f64 y x y)) x)) (*.f64 (neg.f64 (fma.f64 y x y)) (neg.f64 (fma.f64 y x y)))) |
(/.f64 (neg.f64 (/.f64 x y)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 y x y)))) |
(/.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 y x y) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y x y) x))) |
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 y x y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 y x y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x y) x)) |
(/.f64 (/.f64 x y) (-.f64 x #s(literal -1 binary64))) |
(/.f64 x (fma.f64 y x y)) |
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 y x y))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) y) (/.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) y)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (-.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 x (neg.f64 y)) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y x y))) (/.f64 (neg.f64 x) (fma.f64 y x y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y x y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 x (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))) x)) (*.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 x) (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) |
(/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 x (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (/.f64 x (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 18 686 to 2 588 computations (86.2% saved)
18 alts after pruning (9 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 679 | 4 | 683 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 683 | 18 | 701 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.6% | (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
| 68.8% | (/.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) | |
| ✓ | 37.9% | (/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
| 49.1% | #s(approx (/ (+ (* (/ x y) x) x) (- x -1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) | |
| 35.5% | #s(approx (/ (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) | |
| 45.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x))) | |
| ✓ | 51.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
| ✓ | 34.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) |
| ✓ | 58.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
| ✓ | 45.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x)) |
| 14.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) x)) | |
| 19.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) | |
| ✓ | 40.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
| 19.8% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) | |
| 38.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) | |
| ✓ | 8.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
| ✓ | 39.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
| 3.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
Compiled 1 062 to 406 computations (61.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (- x -1)) (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 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.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 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (/.f64 x (/.f64 y x))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) x)) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
3 calls:
| 18.0ms | x |
| 18.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 10.0ms | y |
| 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)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (- x -1)) (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 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.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 (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 #s(literal 1 binary64)) y) #s(literal 1 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 #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
3 calls:
| 14.0ms | y |
| 7.0ms | x |
| 7.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | x |
| 87.6% | 1 | 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)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (- x -1)) (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 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* (- (pow (/ x y) 2) 1) (/ x (- (/ x y) 1))) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (*.f64 (-.f64 x #s(literal -1 binary64)) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x))) |
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
2 calls:
| 9.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 6 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 98.3% | 3 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
3 calls:
| 7.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.5% | 3 | y |
| 89.3% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 89.4% | 3 | x |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
2 calls:
| 6.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 72.8% | 3 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 x y) x))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
1 calls:
| 3.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 3 | (/.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)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
1 calls:
| 3.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 4 | (/.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)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
3 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 3 | y |
| 70.4% | 3 | x |
| 70.2% | 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)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (neg.f64 x) x x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x #s(approx (+ 1 x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.6% | 1 | y |
| 38.6% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 38.6% | 1 | 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)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
3 calls:
| 2.0ms | y |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 8.6% | 1 | y |
| 8.6% | 1 | x |
| 8.6% | 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)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2047854608329276.0 | 2.8034909248137203e+20 |
| 4.0ms | -1.9665290965371375e+24 | -2.2101754445221163e+21 |
| 9.0ms | 192× | 0 | valid |
Compiled 362 to 277 computations (23.5% saved)
ival-div: 3.0ms (53.2% of total)ival-add: 2.0ms (35.5% of total)ival-mult: 1.0ms (17.7% 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 |
|---|---|---|
| 12.0ms | 0.002827077412230369 | 95498.00743816307 |
| 33.0ms | -21.740260057955826 | -0.0005799251443390788 |
| 35.0ms | 272× | 0 | valid |
Compiled 677 to 472 computations (30.3% saved)
ival-div: 4.0ms (48.8% of total)ival-add: 2.0ms (24.4% of total)ival-mult: 2.0ms (24.4% 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 |
|---|---|---|
| 11.0ms | 0.002827077412230369 | 95498.00743816307 |
| 18.0ms | -21.740260057955826 | -0.0005799251443390788 |
| 20.0ms | 224× | 0 | valid |
Compiled 626 to 472 computations (24.6% saved)
ival-add: 11.0ms (70.1% of total)ival-div: 3.0ms (19.1% of total)ival-mult: 1.0ms (6.4% of total)ival-true: 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 | 1.0042087857531863 | 3007.888207762232 |
| 0.0ms | -12731.066336751002 | -1.3854206246001077e-14 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0042087857531863 | 3007.888207762232 |
| 0.0ms | -12731.066336751002 | -1.3854206246001077e-14 |
Compiled 14 to 13 computations (7.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0042087857531863 | 3007.888207762232 |
| 0.0ms | 1.4507092032106156e-5 | 0.013406540574978408 |
| 0.0ms | -12731.066336751002 | -1.3854206246001077e-14 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.002827077412230369 | 95498.00743816307 |
| 1.0ms | -21.740260057955826 | -0.0005799251443390788 |
Compiled 864 to 608 computations (29.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 671 |
| 1 | 111 | 671 |
| 2 | 125 | 671 |
| 3 | 136 | 671 |
| 4 | 138 | 671 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(if (<=.f64 x #s(literal -10000000000000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 7500000000000000 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 #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -21 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1100 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #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 -10000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 x #s(literal -10000000000000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 7500000000000000 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 #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -10000000000000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 7500000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -21 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1100 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #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 -10000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -10000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -10000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal -10000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) (if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (neg x) x) x) (*.f64 (neg.f64 x) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 846 |
| 1 | 603 | 800 |
| 2 | 1660 | 714 |
| 3 | 7531 | 702 |
| 0 | 8855 | 670 |
| 0 | 8 | 29 |
| 0 | 13 | 29 |
| 1 | 62 | 29 |
| 2 | 454 | 29 |
| 3 | 7068 | 29 |
| 0 | 8044 | 27 |
| 0 | 33 | 177 |
| 0 | 48 | 169 |
| 1 | 237 | 169 |
| 2 | 1750 | 169 |
| 0 | 8290 | 169 |
| 0 | 90 | 331 |
| 1 | 250 | 314 |
| 2 | 660 | 270 |
| 3 | 3414 | 257 |
| 0 | 9121 | 246 |
| 0 | 28 | 150 |
| 0 | 45 | 142 |
| 1 | 197 | 140 |
| 2 | 1476 | 140 |
| 0 | 8294 | 133 |
| 0 | 125 | 444 |
| 1 | 354 | 428 |
| 2 | 915 | 388 |
| 3 | 4339 | 376 |
| 0 | 8260 | 363 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 977 to 320 computations (67.2% saved)
Compiled 1 390 to 214 computations (84.6% saved)
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