
Time bar (total: 6.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25.7% | 74.3% | 0% | 0% | 0% | 0 |
| 100% | 25.7% | 0% | 74.3% | 0% | 0% | 0% | 1 |
Compiled 25 to 18 computations (28% saved)
| 502.0ms | 2 505× | 1 | valid |
| 446.0ms | 5 301× | 0 | valid |
| 81.0ms | 450× | 2 | valid |
ival-pow2: 278.0ms (34.1% of total)ival-sub: 157.0ms (19.2% of total)ival-<=: 149.0ms (18.3% of total)ival-add: 127.0ms (15.6% of total)adjust: 67.0ms (8.2% of total)ival-and: 20.0ms (2.5% of total)exact: 16.0ms (2% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 66 | 2 | (-6.906151915304824e-154 -2.9684200678423742e-161) | 0 | - | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (pow.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) | cancellation | 68 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 66 | 0 |
| - | 2 | 188 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 66 | 0 | 0 |
| - | 2 | 1 | 187 |
| number | freq |
|---|---|
| 0 | 188 |
| 1 | 68 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 22.0ms | 352× | 0 | valid |
| 16.0ms | 136× | 1 | valid |
| 11.0ms | 24× | 2 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-pow2: 15.0ms (45.3% of total)ival-sub: 10.0ms (30.2% of total)ival-add: 4.0ms (12.1% of total)adjust: 3.0ms (9.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 55 |
| 1 | 30 | 51 |
| 2 | 97 | 51 |
| 3 | 472 | 49 |
| 4 | 1479 | 37 |
| 5 | 4095 | 35 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 16 | 9 |
| 2 | 39 | 9 |
| 3 | 147 | 9 |
| 4 | 538 | 7 |
| 5 | 1669 | 7 |
| 6 | 5414 | 7 |
| 0 | 8068 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.3% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 x eps) | |
| cost-diff | 0 | (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) | |
| cost-diff | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 16 | 23 |
| 2 | 39 | 23 |
| 3 | 147 | 23 |
| 4 | 538 | 21 |
| 5 | 1669 | 21 |
| 6 | 5414 | 21 |
| 0 | 8068 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 2 binary64)) |
(+.f64 x eps) |
x |
eps |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(pow.f64 (+.f64 x eps) #s(literal 2 binary64)) |
(pow.f64 (+.f64 eps x) #s(literal 2 binary64)) |
(+.f64 x eps) |
(+.f64 eps x) |
x |
eps |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.0 | (+.f64 x eps) | |
| accuracy | 0.02734375 | (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) | |
| accuracy | 14.524234593301045 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 45.0ms | 68× | 1 | valid |
| 10.0ms | 176× | 0 | valid |
| 2.0ms | 12× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow2: 44.0ms (88.8% of total)ival-add: 2.0ms (4% of total)ival-sub: 2.0ms (4% of total)adjust: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 2 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* x (+ x (* 2 eps))) (pow eps 2)) |
eps |
(+ eps x) |
(pow x 2) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* (pow x 2) (+ 1 (* 2 (/ eps x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
x |
(* x (+ 1 (/ eps x))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* eps (+ eps (* 2 x))) |
(+ (* 2 (* eps x)) (pow x 2)) |
(+ (* eps (+ eps (* 2 x))) (pow x 2)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) |
(* eps (+ 1 (/ x eps))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) (pow x 2)) |
| 1.0ms | x | @ | inf | ((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) (pow x 2)) |
| 1.0ms | x | @ | 0 | ((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) (pow x 2)) |
| 1.0ms | eps | @ | -inf | ((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) (pow x 2)) |
| 0.0ms | eps | @ | inf | ((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) (pow x 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 215 |
| 1 | 239 | 203 |
| 2 | 827 | 191 |
| 3 | 3630 | 191 |
| 0 | 8470 | 176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ (* x (+ x (* 2 eps))) (pow eps 2)) |
eps |
(+ eps x) |
(pow x 2) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* (pow x 2) (+ 1 (* 2 (/ eps x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
x |
(* x (+ 1 (/ eps x))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* eps (+ eps (* 2 x))) |
(+ (* 2 (* eps x)) (pow x 2)) |
(+ (* eps (+ eps (* 2 x))) (pow x 2)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) |
(* eps (+ 1 (/ x eps))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
| Outputs |
|---|
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(+ (* x (+ x (* 2 eps))) (pow eps 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x)) |
eps |
(+ eps x) |
(+.f64 eps x) |
(pow x 2) |
(*.f64 x x) |
(* 2 (* eps x)) |
(*.f64 (*.f64 eps x) #s(literal 2 binary64)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) |
(* (pow x 2) (+ 1 (* 2 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 2 binary64) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 1 binary64)) x) x) |
x |
(* x (+ 1 (/ eps x))) |
(fma.f64 (/.f64 eps x) x x) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 2 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 1 binary64)) x) x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))) |
(* eps (+ eps (* 2 x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(+ (* 2 (* eps x)) (pow x 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) eps x) x) |
(+ (* eps (+ eps (* 2 x))) (pow x 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x)) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps) |
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64)) eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 (/.f64 x eps) eps eps) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64)) eps) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 51 | 20 |
| 2 | 364 | 20 |
| 3 | 5050 | 20 |
| 0 | 8368 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 2 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (pow.f64 (+.f64 eps x) #s(literal 8 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) (-.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x))) |
(*.f64 (+.f64 (neg.f64 (+.f64 eps x)) x) (-.f64 (neg.f64 (+.f64 eps x)) x)) |
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) |
(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x)) |
(*.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (*.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
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(pow.f64 (+.f64 eps x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x eps)) (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 eps x) (+.f64 eps x))) (neg.f64 (-.f64 eps x))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 eps eps))) (neg.f64 (neg.f64 (-.f64 x eps)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (pow.f64 (-.f64 x eps) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (pow.f64 eps #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 eps x) (+.f64 eps x))) (fabs.f64 (-.f64 eps x))) |
(/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 eps eps))) (fabs.f64 (neg.f64 (-.f64 x eps)))) |
(/.f64 (fabs.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (fabs.f64 (-.f64 x eps))) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)))) (exp.f64 (log.f64 (-.f64 x eps)))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (fma.f64 eps eps (*.f64 x x)) (-.f64 x eps))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x eps))) |
(/.f64 (*.f64 (-.f64 eps x) (+.f64 eps x)) (-.f64 eps x)) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 eps eps)) (neg.f64 (-.f64 x eps))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps)) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) |
(neg.f64 (neg.f64 (+.f64 eps x))) |
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 eps x) eps) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 eps x) eps)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 eps x) eps) (-.f64 (*.f64 (-.f64 eps x) eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (+.f64 eps x) eps (*.f64 x x)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 eps x) eps) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 eps x) eps)) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 eps x) eps) (-.f64 (*.f64 (-.f64 eps x) eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) eps) |
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) eps) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps) |
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps))) |
(fma.f64 (*.f64 eps eps) (/.f64 eps (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 eps (/.f64 (*.f64 eps eps) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))) |
(-.f64 eps (neg.f64 x)) |
(fabs.f64 (-.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) (*.f64 x (/.f64 x (-.f64 x eps))))) |
(fabs.f64 (neg.f64 (+.f64 eps x))) |
(fabs.f64 (+.f64 eps x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (+.f64 eps x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 eps x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (+.f64 eps x))) |
(+.f64 (cosh.f64 (log.f64 (+.f64 eps x))) (sinh.f64 (log.f64 (+.f64 eps x)))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps))) |
(+.f64 eps x) |
(+.f64 x eps) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 x)) (cosh.f64 (log.f64 x))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
Compiled 7 675 to 1 120 computations (85.4% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 322 | 5 | 327 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 323 | 5 | 328 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.3% | (fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))) |
| ▶ | 77.3% | (*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) |
| ▶ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
| ▶ | 62.9% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64))) |
| ▶ | 74.5% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
Compiled 138 to 88 computations (36.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 0 | (+.f64 eps x) | |
| cost-diff | 2 | (fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))) | |
| cost-diff | 6 | (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)) | |
| cost-diff | 0 | (+.f64 eps x) | |
| cost-diff | 0 | (*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) | |
| cost-diff | 1 | (+.f64 (+.f64 eps x) x) | |
| cost-diff | 4 | (-.f64 (+.f64 eps x) x) | |
| cost-diff | 0 | (*.f64 eps x) | |
| cost-diff | 0 | (*.f64 (*.f64 eps x) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) x eps) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 132 |
| 0 | 39 | 108 |
| 1 | 83 | 105 |
| 2 | 208 | 99 |
| 3 | 772 | 99 |
| 4 | 3118 | 99 |
| 5 | 7859 | 99 |
| 0 | 8290 | 99 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(fma.f64 #s(literal 2 binary64) x eps) |
#s(literal 2 binary64) |
x |
eps |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
(*.f64 eps eps) |
eps |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64))) |
(*.f64 (*.f64 eps x) #s(literal 2 binary64)) |
(*.f64 eps x) |
eps |
x |
#s(literal 2 binary64) |
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) |
(-.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
eps |
x |
(+.f64 (+.f64 eps x) x) |
(fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))) |
(+.f64 eps x) |
eps |
x |
(fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(fma.f64 #s(literal 2 binary64) x eps) |
#s(literal 2 binary64) |
x |
eps |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
(*.f64 eps eps) |
eps |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64))) |
(*.f64 (*.f64 eps x) #s(literal 2 binary64)) |
(*.f64 eps x) |
eps |
x |
#s(literal 2 binary64) |
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(-.f64 (+.f64 eps x) x) |
eps |
(+.f64 eps x) |
eps |
x |
(+.f64 (+.f64 eps x) x) |
(fma.f64 #s(literal 2 binary64) x eps) |
(fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(+.f64 eps x) |
eps |
x |
(fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)) |
(*.f64 eps x) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 (neg.f64 x) x) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.03125 | (fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))) | |
| accuracy | 19.04049946138692 | (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)) | |
| accuracy | 0.0 | (+.f64 eps x) | |
| accuracy | 0.01953125 | (*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) | |
| accuracy | 0.04296875 | (+.f64 (+.f64 eps x) x) | |
| accuracy | 27.76657314508016 | (-.f64 (+.f64 eps x) x) | |
| accuracy | 0.0 | (*.f64 eps x) | |
| accuracy | 0.03125 | (*.f64 (*.f64 eps x) #s(literal 2 binary64)) | |
| accuracy | 23.73293679633152 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (*.f64 eps eps) | |
| accuracy | 16.332336805587193 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) | |
| accuracy | 0.0 | (fma.f64 #s(literal 2 binary64) x eps) | |
| accuracy | 0.0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) | |
| accuracy | 0.01953125 | (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
| 75.0ms | 12× | 2 | valid |
| 47.0ms | 106× | 1 | valid |
| 24.0ms | 138× | 0 | valid |
Compiled 122 to 25 computations (79.5% saved)
adjust: 20.0ms (33.5% of total)ival-mult: 15.0ms (25.1% of total)ival-add: 10.0ms (16.8% of total)ival-pow2: 10.0ms (16.8% of total)ival-sub: 3.0ms (5% of total)ival-neg: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(fma.f64 #s(literal 2 binary64) x eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64))) |
(*.f64 (*.f64 eps x) #s(literal 2 binary64)) |
(*.f64 eps x) |
(-.f64 (+.f64 eps x) x) |
(+.f64 (+.f64 eps x) x) |
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) |
(+.f64 eps x) |
(fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)) |
(fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
| Outputs |
|---|
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
eps |
(+ eps (* 2 x)) |
(* 2 (* eps x)) |
(* eps x) |
(+ eps x) |
(* -1 (pow x 2)) |
(* -1 x) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 x) |
(* x (+ 2 (/ eps x))) |
x |
(* x (+ 1 (/ eps x))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* eps (+ eps (* 2 x))) |
(+ (* -1 (pow x 2)) (pow x 2)) |
(+ (* -1 (pow x 2)) (+ (* eps x) (pow x 2))) |
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2))) |
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* eps (+ 1 (* 2 (/ x eps)))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ x (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | 0 | ((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (+ eps x) x) (+ (+ eps x) x) (* (- (+ eps x) x) (+ (+ eps x) x)) (+ eps x) (+ (* (+ eps x) x) (* (neg x) x)) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (* (neg x) x) (neg x)) |
| 2.0ms | x | @ | -inf | ((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (+ eps x) x) (+ (+ eps x) x) (* (- (+ eps x) x) (+ (+ eps x) x)) (+ eps x) (+ (* (+ eps x) x) (* (neg x) x)) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (* (neg x) x) (neg x)) |
| 2.0ms | eps | @ | -inf | ((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (+ eps x) x) (+ (+ eps x) x) (* (- (+ eps x) x) (+ (+ eps x) x)) (+ eps x) (+ (* (+ eps x) x) (* (neg x) x)) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (* (neg x) x) (neg x)) |
| 2.0ms | x | @ | 0 | ((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (+ eps x) x) (+ (+ eps x) x) (* (- (+ eps x) x) (+ (+ eps x) x)) (+ eps x) (+ (* (+ eps x) x) (* (neg x) x)) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (* (neg x) x) (neg x)) |
| 2.0ms | x | @ | inf | ((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (+ eps x) x) (+ (+ eps x) x) (* (- (+ eps x) x) (+ (+ eps x) x)) (+ eps x) (+ (* (+ eps x) x) (* (neg x) x)) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (* (neg x) x) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 169 |
| 1 | 285 | 149 |
| 2 | 1030 | 149 |
| 3 | 3775 | 149 |
| 0 | 9058 | 137 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
eps |
(+ eps (* 2 x)) |
(* 2 (* eps x)) |
(* eps x) |
(+ eps x) |
(* -1 (pow x 2)) |
(* -1 x) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* 2 x) |
(* x (+ 2 (/ eps x))) |
x |
(* x (+ 1 (/ eps x))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* eps (+ eps (* 2 x))) |
(+ (* -1 (pow x 2)) (pow x 2)) |
(+ (* -1 (pow x 2)) (+ (* eps x) (pow x 2))) |
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2))) |
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* eps (+ 1 (* 2 (/ x eps)))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ x (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)))) |
| Outputs |
|---|
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
eps |
(+ eps (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x eps) |
(* 2 (* eps x)) |
(*.f64 (*.f64 eps x) #s(literal 2 binary64)) |
(* eps x) |
(*.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 x) |
(neg.f64 x) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (/ eps x))) |
(fma.f64 #s(literal 2 binary64) x eps) |
x |
(* x (+ 1 (/ eps x))) |
(+.f64 eps x) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(*.f64 (-.f64 (/.f64 eps (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(*.f64 (-.f64 (/.f64 eps (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) |
(* eps (+ eps (* 2 x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(+ (* -1 (pow x 2)) (pow x 2)) |
#s(literal 0 binary64) |
(+ (* -1 (pow x 2)) (+ (* eps x) (pow x 2))) |
(*.f64 eps x) |
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2))) |
(*.f64 (*.f64 eps x) #s(literal 2 binary64)) |
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(* eps (+ 1 (* 2 (/ x eps)))) |
(fma.f64 #s(literal 2 binary64) x eps) |
(* eps (+ 1 (/ x eps))) |
(+.f64 eps x) |
(* eps (+ x (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps)))) |
(*.f64 eps x) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(fma.f64 #s(literal 2 binary64) x eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))))) |
(*.f64 eps x) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 118 |
| 0 | 39 | 111 |
| 1 | 177 | 99 |
| 2 | 1595 | 99 |
| 0 | 8465 | 99 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(fma.f64 #s(literal 2 binary64) x eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64))) |
(*.f64 (*.f64 eps x) #s(literal 2 binary64)) |
(*.f64 eps x) |
(-.f64 (+.f64 eps x) x) |
(+.f64 (+.f64 eps x) x) |
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) |
(+.f64 eps x) |
(fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)) |
(fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (neg.f64 eps))) eps)) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) eps)) (neg.f64 (+.f64 #s(literal 0 binary64) eps))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (neg.f64 eps))))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(/.f64 (neg.f64 (*.f64 eps (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (neg.f64 (*.f64 eps (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)))) (neg.f64 (+.f64 #s(literal 0 binary64) eps))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (neg.f64 eps))) eps) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) eps) (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) eps) (+.f64 #s(literal 0 binary64) eps)) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (neg.f64 eps)))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) |
(/.f64 (*.f64 eps (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (*.f64 eps (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps))) (+.f64 #s(literal 0 binary64) eps)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 eps))) (*.f64 (*.f64 #s(literal 2 binary64) x) eps)) |
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (*.f64 (*.f64 #s(literal 2 binary64) x) eps)) |
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 eps eps)) |
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps)) |
(fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)) (*.f64 (*.f64 #s(literal 2 binary64) x) eps)) |
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (*.f64 #s(literal 2 binary64) x) eps)) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps)) |
(fma.f64 (+.f64 eps x) eps (*.f64 eps x)) |
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 eps eps)) |
(fma.f64 #s(literal 2 binary64) (*.f64 eps x) (*.f64 eps eps)) |
(fma.f64 eps (*.f64 #s(literal 2 binary64) x) (*.f64 eps eps)) |
(fma.f64 eps (+.f64 eps x) (*.f64 eps x)) |
(fma.f64 eps eps (*.f64 (*.f64 #s(literal 2 binary64) x) eps)) |
(fma.f64 eps x (*.f64 (+.f64 eps x) eps)) |
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (*.f64 eps eps)) |
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) (*.f64 eps eps)) |
(fma.f64 x eps (*.f64 (+.f64 eps x) eps)) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps)) |
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 eps x)) |
(+.f64 (*.f64 eps x) (*.f64 (+.f64 eps x) eps)) |
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) x) eps)) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps))) (fma.f64 #s(literal 2 binary64) x eps)) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 eps (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (+.f64 eps x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (neg.f64 eps))))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)))) (neg.f64 (neg.f64 (+.f64 #s(literal 0 binary64) eps)))) |
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(-.f64 eps (*.f64 #s(literal -2 binary64) x)) |
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(+.f64 (*.f64 #s(literal 2 binary64) x) eps) |
(+.f64 (+.f64 eps x) x) |
(+.f64 eps (*.f64 #s(literal 2 binary64) x)) |
(+.f64 x (+.f64 eps x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
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(exp.f64 (*.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64))) |
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(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 #s(literal 2 binary64) x) eps)) |
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(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (-.f64 eps x)) |
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(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) #s(literal 0 binary64)) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 2 binary64))) (-.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x)) (*.f64 (+.f64 #s(literal 0 binary64) eps) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 2 binary64))) (-.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) (*.f64 (+.f64 eps x) eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x)) (*.f64 (+.f64 #s(literal 0 binary64) eps) x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 #s(literal 0 binary64) eps) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 #s(literal 0 binary64) eps) x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) (-.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) (*.f64 (+.f64 eps x) eps)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (neg.f64 eps))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (neg.f64 eps))) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (fma.f64 #s(literal 2 binary64) x eps))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)))) (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) eps) (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (neg.f64 eps)))) (*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) x eps) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (neg.f64 eps)))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (neg.f64 eps)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (fma.f64 x (-.f64 x (+.f64 eps x)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) (+.f64 #s(literal 0 binary64) eps))) |
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 2 binary64))) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 #s(literal 0 binary64) eps) x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 #s(literal 0 binary64) eps) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) (-.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) (*.f64 (+.f64 eps x) eps)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (+.f64 eps x))) (neg.f64 (neg.f64 (+.f64 eps x))) (*.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 (neg.f64 (+.f64 eps x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (+.f64 eps x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (+.f64 (neg.f64 x) (+.f64 eps x)) x (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x))) |
(fma.f64 (+.f64 (neg.f64 x) (+.f64 eps x)) x (*.f64 (+.f64 eps x) eps)) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 0 binary64) eps) (*.f64 eps (+.f64 #s(literal 0 binary64) eps))) |
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x eps))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 0 binary64))) |
(fma.f64 (+.f64 #s(literal 0 binary64) eps) (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 #s(literal 0 binary64) eps) eps)) |
(fma.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x) (*.f64 (+.f64 #s(literal 0 binary64) eps) x)) |
(fma.f64 (+.f64 #s(literal 0 binary64) eps) eps (*.f64 (+.f64 #s(literal 0 binary64) eps) (*.f64 #s(literal 2 binary64) x))) |
(fma.f64 (+.f64 #s(literal 0 binary64) eps) x (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x))) |
(fma.f64 (+.f64 #s(literal 0 binary64) eps) x (*.f64 (+.f64 eps x) eps)) |
(fma.f64 (+.f64 eps x) (+.f64 #s(literal 0 binary64) eps) (*.f64 (+.f64 #s(literal 0 binary64) eps) x)) |
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 #s(literal 0 binary64) eps) x)) |
(fma.f64 (+.f64 eps x) x (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps))) |
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x eps))) |
(fma.f64 eps (fma.f64 #s(literal 2 binary64) x eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 0 binary64))) |
(fma.f64 eps (+.f64 #s(literal 0 binary64) eps) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 0 binary64) eps))) |
(fma.f64 eps (+.f64 eps x) (*.f64 (+.f64 #s(literal 0 binary64) eps) x)) |
(fma.f64 x (+.f64 (neg.f64 x) (+.f64 eps x)) (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x))) |
(fma.f64 x (+.f64 (neg.f64 x) (+.f64 eps x)) (*.f64 (+.f64 eps x) eps)) |
(fma.f64 x (neg.f64 x) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) |
(fma.f64 x (+.f64 #s(literal 0 binary64) eps) (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x))) |
(fma.f64 x (+.f64 #s(literal 0 binary64) eps) (*.f64 (+.f64 eps x) eps)) |
(fma.f64 x (+.f64 eps x) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x)) (*.f64 (+.f64 #s(literal 0 binary64) eps) x))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x)) (*.f64 (+.f64 #s(literal 0 binary64) eps) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) (*.f64 (+.f64 eps x) eps))) (/.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) (*.f64 (+.f64 eps x) eps)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 #s(literal 0 binary64) eps) x))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 #s(literal 0 binary64) eps) x)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))))) |
(-.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x)) (*.f64 (neg.f64 x) (+.f64 #s(literal 0 binary64) eps))) |
(-.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x)) (*.f64 (neg.f64 (+.f64 #s(literal 0 binary64) eps)) x)) |
(-.f64 (*.f64 (+.f64 eps x) x) (-.f64 (*.f64 x x) (*.f64 (+.f64 eps x) eps))) |
(-.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (+.f64 eps x)))) |
(-.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) (*.f64 (neg.f64 (+.f64 eps x)) eps)) |
(-.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) (*.f64 (neg.f64 eps) (+.f64 eps x))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x x)) |
(+.f64 (fma.f64 (+.f64 eps x) eps (*.f64 (neg.f64 x) x)) (*.f64 (+.f64 eps x) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 0 binary64) eps)) (*.f64 eps (+.f64 #s(literal 0 binary64) eps))) |
(+.f64 (*.f64 eps (+.f64 #s(literal 0 binary64) eps)) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 0 binary64) eps))) |
(+.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) (*.f64 #s(literal 2 binary64) x)) (*.f64 (+.f64 #s(literal 0 binary64) eps) eps)) |
(+.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) eps) (*.f64 (+.f64 #s(literal 0 binary64) eps) (*.f64 #s(literal 2 binary64) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) (-.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) (*.f64 (+.f64 eps x) eps)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) (-.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) (*.f64 (+.f64 eps x) eps)) (pow.f64 (*.f64 (+.f64 eps x) eps) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x)) (*.f64 (+.f64 #s(literal 0 binary64) eps) x)) |
(+.f64 (*.f64 (+.f64 eps x) x) (fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) eps))) |
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 #s(literal 0 binary64) eps) x)) |
(+.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) (*.f64 (+.f64 #s(literal 0 binary64) eps) (+.f64 eps x))) |
(+.f64 (*.f64 (+.f64 #s(literal 0 binary64) eps) x) (*.f64 (+.f64 eps x) eps)) |
(+.f64 (*.f64 (neg.f64 x) x) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x eps))) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 0 binary64))) |
(+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 x (neg.f64 x)) |
(neg.f64 (*.f64 x x)) |
(neg.f64 x) |
Compiled 15 095 to 1 691 computations (88.8% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 614 | 5 | 619 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 617 | 7 | 624 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))) |
| ▶ | 77.5% | (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) |
| ▶ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps))) |
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
| ▶ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
| ▶ | 62.9% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps #s(literal 2 binary64)) x)) |
| ✓ | 74.5% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
Compiled 201 to 132 computations (34.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (*.f64 eps #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps))) | |
| cost-diff | 2 | (fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps)) | |
| cost-diff | 0 | (*.f64 eps x) | |
| cost-diff | 0 | #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)) | |
| cost-diff | 0 | (+.f64 eps x) | |
| cost-diff | 0 | (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))) | |
| cost-diff | 0 | (*.f64 eps #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 eps #s(literal 2 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)) | |
| cost-diff | 0 | (+.f64 eps x) | |
| cost-diff | 0 | (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) | |
| cost-diff | 0 | (+.f64 eps x) | |
| cost-diff | 0 | (*.f64 (+.f64 (+.f64 eps x) x) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) | |
| cost-diff | 1 | (+.f64 (+.f64 eps x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 171 |
| 0 | 39 | 161 |
| 1 | 74 | 157 |
| 2 | 158 | 157 |
| 3 | 416 | 149 |
| 4 | 1089 | 135 |
| 5 | 2568 | 135 |
| 6 | 7392 | 135 |
| 0 | 8233 | 127 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
(*.f64 (+.f64 (+.f64 eps x) x) eps) |
(+.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
eps |
x |
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) |
(+.f64 eps x) |
eps |
x |
#s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps #s(literal 2 binary64)) x)) |
(*.f64 (*.f64 eps #s(literal 2 binary64)) x) |
(*.f64 eps #s(literal 2 binary64)) |
eps |
#s(literal 2 binary64) |
x |
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))) |
(+.f64 eps x) |
eps |
x |
#s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)) |
(*.f64 eps x) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps))) |
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps)) |
(*.f64 eps #s(literal 2 binary64)) |
eps |
#s(literal 2 binary64) |
x |
(*.f64 eps eps) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(*.f64 (+.f64 (+.f64 eps x) x) eps) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(+.f64 (+.f64 eps x) x) |
(fma.f64 #s(literal 2 binary64) x eps) |
(+.f64 eps x) |
eps |
x |
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) |
(+.f64 eps x) |
eps |
x |
#s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps #s(literal 2 binary64)) x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) |
(*.f64 (*.f64 eps #s(literal 2 binary64)) x) |
(*.f64 (*.f64 #s(literal 2 binary64) eps) x) |
(*.f64 eps #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) eps) |
eps |
#s(literal 2 binary64) |
x |
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))) |
(+.f64 eps x) |
eps |
x |
#s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)) |
(*.f64 eps x) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(*.f64 eps #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) eps) |
eps |
#s(literal 2 binary64) |
x |
(*.f64 eps eps) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 eps eps) | |
| accuracy | 0.0 | (*.f64 eps #s(literal 2 binary64)) | |
| accuracy | 0.0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps))) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps)) | |
| accuracy | 0.0 | (+.f64 eps x) | |
| accuracy | 0.0 | (*.f64 eps x) | |
| accuracy | 0.0 | #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)) | |
| accuracy | 0.03125 | (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))) | |
| accuracy | 0.0 | (*.f64 (*.f64 eps #s(literal 2 binary64)) x) | |
| accuracy | 0.0 | (*.f64 eps #s(literal 2 binary64)) | |
| accuracy | 23.73293679633152 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps #s(literal 2 binary64)) x)) | |
| accuracy | 0.0 | (+.f64 eps x) | |
| accuracy | 0.03125 | (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) | |
| accuracy | 30.116322609620564 | #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)) | |
| accuracy | 0.0 | (+.f64 eps x) | |
| accuracy | 0.0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) | |
| accuracy | 0.01953125 | (*.f64 (+.f64 (+.f64 eps x) x) eps) | |
| accuracy | 0.04296875 | (+.f64 (+.f64 eps x) x) |
| 47.0ms | 68× | 1 | valid |
| 31.0ms | 176× | 0 | valid |
| 5.0ms | 12× | 2 | valid |
Compiled 141 to 24 computations (83% saved)
ival-mult: 39.0ms (62.9% of total)ival-add: 9.0ms (14.5% of total)ival-pow2: 6.0ms (9.7% of total)adjust: 4.0ms (6.5% of total)ival-sub: 2.0ms (3.2% of total)ival-neg: 1.0ms (1.6% 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 eps x) x) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
(*.f64 (+.f64 (+.f64 eps x) x) eps) |
(+.f64 eps x) |
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) |
#s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps #s(literal 2 binary64)) x)) |
(*.f64 (*.f64 eps #s(literal 2 binary64)) x) |
(*.f64 eps #s(literal 2 binary64)) |
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))) |
#s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)) |
(*.f64 eps x) |
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps))) |
(*.f64 eps eps) |
| Outputs |
|---|
eps |
(+ eps (* 2 x)) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ eps x) |
(* eps x) |
(* 2 (* eps x)) |
(* 2 x) |
(* x (+ 2 (/ eps x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
x |
(* x (+ 1 (/ eps x))) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* eps (+ eps (* 2 x))) |
(+ (* -1 (pow x 2)) (pow x 2)) |
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2))) |
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2))) |
(+ (* -1 (pow x 2)) (+ (* eps x) (pow x 2))) |
(* 2 eps) |
(* eps (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* eps (+ 1 (/ x eps))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))) |
(* eps (+ x (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps)))) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)))) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | -inf | ((+ (+ eps x) x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ eps x) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (* eps x) (+ (* (* eps 2) x) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps)) |
| 2.0ms | x | @ | -inf | ((+ (+ eps x) x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ eps x) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (* eps x) (+ (* (* eps 2) x) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps)) |
| 2.0ms | eps | @ | inf | ((+ (+ eps x) x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ eps x) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (* eps x) (+ (* (* eps 2) x) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps)) |
| 1.0ms | x | @ | 0 | ((+ (+ eps x) x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ eps x) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (* eps x) (+ (* (* eps 2) x) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps)) |
| 1.0ms | eps | @ | 0 | ((+ (+ eps x) x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ eps x) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (* eps x) (+ (* (* eps 2) x) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 166 |
| 1 | 285 | 146 |
| 2 | 1023 | 146 |
| 3 | 3769 | 146 |
| 0 | 9101 | 134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
eps |
(+ eps (* 2 x)) |
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(+ eps x) |
(* eps x) |
(* 2 (* eps x)) |
(* 2 x) |
(* x (+ 2 (/ eps x))) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
x |
(* x (+ 1 (/ eps x))) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* eps (+ eps (* 2 x))) |
(+ (* -1 (pow x 2)) (pow x 2)) |
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2))) |
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2))) |
(+ (* -1 (pow x 2)) (+ (* eps x) (pow x 2))) |
(* 2 eps) |
(* eps (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* eps (+ 1 (/ x eps))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))) |
(* eps (+ x (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps)))) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)))) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))))) |
| Outputs |
|---|
eps |
(+ eps (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x eps) |
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(+ eps x) |
(+.f64 x eps) |
(* eps x) |
(*.f64 x eps) |
(* 2 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (/ eps x))) |
(fma.f64 #s(literal 2 binary64) x eps) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
x |
(* x (+ 1 (/ eps x))) |
(+.f64 x eps) |
(* -1 (* x (- (* -1 (/ eps x)) 2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))) |
(* eps (+ eps (* 2 x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(+ (* -1 (pow x 2)) (pow x 2)) |
#s(literal 0 binary64) |
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2))) |
(*.f64 (*.f64 x eps) #s(literal 2 binary64)) |
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(+ (* -1 (pow x 2)) (+ (* eps x) (pow x 2))) |
(*.f64 x eps) |
(* 2 eps) |
(*.f64 #s(literal 2 binary64) eps) |
(* eps (+ 1 (* 2 (/ x eps)))) |
(fma.f64 #s(literal 2 binary64) x eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(* eps (+ 1 (/ x eps))) |
(+.f64 x eps) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(* eps (+ x (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps)))) |
(*.f64 x eps) |
(* -1 (* eps (- (* -2 (/ x eps)) 1))) |
(fma.f64 #s(literal 2 binary64) x eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))))) |
(*.f64 x eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 149 |
| 0 | 39 | 139 |
| 1 | 175 | 135 |
| 2 | 1361 | 135 |
| 0 | 8335 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 eps x) x) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
(*.f64 (+.f64 (+.f64 eps x) x) eps) |
(+.f64 eps x) |
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) |
#s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps #s(literal 2 binary64)) x)) |
(*.f64 (*.f64 eps #s(literal 2 binary64)) x) |
(*.f64 eps #s(literal 2 binary64)) |
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))) |
#s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)) |
(*.f64 eps x) |
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps))) |
(*.f64 eps eps) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x x (pow.f64 (+.f64 x eps) #s(literal 2 binary64))) (fma.f64 x x (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) x eps)) |
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(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 #s(literal 2 binary64) eps)) eps) (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 eps eps)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) x) eps) (/.f64 (*.f64 #s(literal 2 binary64) eps) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 eps eps)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 eps eps)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 eps eps)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(fma.f64 (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) eps) (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 eps eps)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(fma.f64 (/.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) eps) (/.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 eps eps)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(fma.f64 (/.f64 (*.f64 eps eps) eps) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 eps eps)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 eps eps)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) eps) eps) (/.f64 (*.f64 x (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 eps eps)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(fma.f64 (/.f64 (*.f64 x x) eps) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 eps eps)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(fma.f64 (/.f64 x eps) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 eps eps)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(fma.f64 (/.f64 eps eps) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 eps eps)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 eps))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) |
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) |
(fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 (neg.f64 (neg.f64 eps)) eps)) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps)) |
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) |
(fma.f64 (*.f64 x eps) #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 eps)) eps)) |
(fma.f64 (*.f64 x eps) #s(literal 2 binary64) (*.f64 eps eps)) |
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 (neg.f64 (neg.f64 eps)) eps)) |
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 eps eps)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (*.f64 (neg.f64 (neg.f64 eps)) eps)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (*.f64 eps eps)) |
(fma.f64 (+.f64 x eps) eps (*.f64 x eps)) |
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (*.f64 (neg.f64 (neg.f64 eps)) eps)) |
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (*.f64 eps eps)) |
(fma.f64 x eps (*.f64 (+.f64 x eps) eps)) |
(fma.f64 eps (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 eps)) eps)) |
(fma.f64 eps (*.f64 #s(literal 2 binary64) x) (*.f64 eps eps)) |
(fma.f64 eps (+.f64 x eps) (*.f64 x eps)) |
(fma.f64 eps x (*.f64 (+.f64 x eps) eps)) |
(fma.f64 eps eps (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 eps) eps))))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 eps) eps)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) eps)) x)) |
(-.f64 (*.f64 eps eps) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) eps))) |
(-.f64 (*.f64 eps eps) (*.f64 (neg.f64 eps) (*.f64 #s(literal 2 binary64) x))) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 eps))) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 eps) eps)) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 eps eps)) (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))) |
(+.f64 (*.f64 (+.f64 x eps) eps) (*.f64 x eps)) |
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) |
(+.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps)) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 (neg.f64 eps)) eps)) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 eps)))) |
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps))) |
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps))) |
(*.f64 (neg.f64 eps) (neg.f64 eps)) |
(*.f64 eps eps) |
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 eps) #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(pow.f64 eps #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 eps) eps)) |
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 eps) eps)) |
(fabs.f64 (*.f64 eps eps)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
Compiled 19 674 to 1 515 computations (92.3% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 466 | 3 | 469 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 468 | 8 | 476 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))) |
| ✓ | 77.5% | (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) |
| ▶ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps))) |
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
| ▶ | 62.9% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) |
| ✓ | 74.5% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
| ▶ | 39.5% | #s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
Compiled 133 to 85 computations (36.1% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (+.f64 eps eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps))) | |
| cost-diff | 2 | (fma.f64 (+.f64 eps eps) x (*.f64 eps eps)) | |
| cost-diff | 0 | (+.f64 eps eps) | |
| cost-diff | 0 | (*.f64 (+.f64 eps eps) x) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) | |
| cost-diff | 0 | #s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 78 |
| 0 | 26 | 76 |
| 1 | 55 | 71 |
| 2 | 147 | 69 |
| 3 | 513 | 69 |
| 4 | 1403 | 63 |
| 5 | 3432 | 63 |
| 6 | 7278 | 63 |
| 0 | 8242 | 58 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) |
(*.f64 (+.f64 eps eps) x) |
(+.f64 eps eps) |
eps |
x |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps))) |
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps)) |
(+.f64 eps eps) |
eps |
x |
(*.f64 eps eps) |
| Outputs |
|---|
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) |
(*.f64 (+.f64 eps eps) x) |
(*.f64 (*.f64 #s(literal 2 binary64) eps) x) |
(+.f64 eps eps) |
(*.f64 #s(literal 2 binary64) eps) |
eps |
x |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(+.f64 eps eps) |
(*.f64 #s(literal 2 binary64) eps) |
eps |
x |
(*.f64 eps eps) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 eps eps) | |
| accuracy | 0.0 | (*.f64 eps eps) | |
| accuracy | 0.0 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps))) | |
| accuracy | 0.01171875 | (fma.f64 (+.f64 eps eps) x (*.f64 eps eps)) | |
| accuracy | 0.0 | (+.f64 eps eps) | |
| accuracy | 0.0 | (*.f64 (+.f64 eps eps) x) | |
| accuracy | 23.73293679633152 | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) | |
| accuracy | 38.74272411789011 | #s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
| 21.0ms | 176× | 0 | valid |
| 20.0ms | 68× | 1 | valid |
| 18.0ms | 12× | 2 | valid |
Compiled 64 to 20 computations (68.8% saved)
ival-sub: 16.0ms (33% of total)ival-mult: 10.0ms (20.6% of total)ival-add: 8.0ms (16.5% of total)adjust: 7.0ms (14.4% of total)ival-pow2: 6.0ms (12.4% of total)ival-neg: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) |
(*.f64 (+.f64 eps eps) x) |
(+.f64 eps eps) |
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps))) |
(*.f64 eps eps) |
| Outputs |
|---|
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(+ (* -1 (pow x 2)) (pow x 2)) |
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2))) |
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2))) |
(* eps (+ eps (* 2 x))) |
(* 2 eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | ((+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (- (pow (+ x eps) 2) (pow x 2)) (* (+ eps eps) x) (+ eps eps) (+ (* (+ eps eps) x) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps)) |
| 1.0ms | eps | @ | -inf | ((+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (- (pow (+ x eps) 2) (pow x 2)) (* (+ eps eps) x) (+ eps eps) (+ (* (+ eps eps) x) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps)) |
| 1.0ms | x | @ | -inf | ((+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (- (pow (+ x eps) 2) (pow x 2)) (* (+ eps eps) x) (+ eps eps) (+ (* (+ eps eps) x) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps)) |
| 1.0ms | x | @ | inf | ((+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (- (pow (+ x eps) 2) (pow x 2)) (* (+ eps eps) x) (+ eps eps) (+ (* (+ eps eps) x) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps)) |
| 1.0ms | eps | @ | 0 | ((+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (- (pow (+ x eps) 2) (pow x 2)) (* (+ eps eps) x) (+ eps eps) (+ (* (+ eps eps) x) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 99 |
| 1 | 164 | 85 |
| 2 | 655 | 85 |
| 3 | 3067 | 85 |
| 0 | 8345 | 77 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 2) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(* 2 (* eps x)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(+ (* -1 (pow x 2)) (pow x 2)) |
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2))) |
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2))) |
(* eps (+ eps (* 2 x))) |
(* 2 eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)))) |
| Outputs |
|---|
(pow eps 2) |
(*.f64 eps eps) |
(+ (* 2 (* eps x)) (pow eps 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(* 2 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 2 binary64)) |
(* x (+ (* 2 eps) (/ (pow eps 2) x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(+ (* -1 (pow x 2)) (pow x 2)) |
#s(literal 0 binary64) |
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2))) |
(*.f64 (*.f64 x eps) #s(literal 2 binary64)) |
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(* eps (+ eps (* 2 x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) |
(* 2 eps) |
(*.f64 #s(literal 2 binary64) eps) |
(* (pow eps 2) (+ 1 (* 2 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 70 |
| 0 | 26 | 68 |
| 1 | 142 | 63 |
| 2 | 1318 | 63 |
| 0 | 8470 | 63 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) |
(*.f64 (+.f64 eps eps) x) |
(+.f64 eps eps) |
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps))) |
(*.f64 eps eps) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) eps) |
(*.f64 (*.f64 #s(literal 2 binary64) eps) x) |
(*.f64 #s(literal 2 binary64) (*.f64 x eps)) |
(*.f64 x (*.f64 #s(literal 2 binary64) eps)) |
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (pow.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (*.f64 x eps) (*.f64 x eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 (*.f64 x eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (pow.f64 (*.f64 x eps) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 eps eps #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (fma.f64 eps eps #s(literal 0 binary64)))) |
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 3 binary64))) x) (fma.f64 eps eps #s(literal 0 binary64))) |
(/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps eps #s(literal 0 binary64))) |
(fma.f64 x eps (*.f64 x eps)) |
(fma.f64 eps x (*.f64 x eps)) |
(+.f64 (*.f64 x eps) (*.f64 x eps)) |
(*.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (*.f64 #s(literal 2 binary64) eps)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 8 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) eps) (*.f64 #s(literal 4 binary64) (*.f64 eps eps))) |
(*.f64 #s(literal 2 binary64) eps) |
(*.f64 eps #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 3 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 eps eps) #s(literal 0 binary64)) (/.f64 (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 eps eps) #s(literal 0 binary64)) (/.f64 (*.f64 eps eps) #s(literal 0 binary64)))) (+.f64 (/.f64 (*.f64 eps eps) #s(literal 0 binary64)) (/.f64 (*.f64 eps eps) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps eps) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 eps eps) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 eps eps) #s(literal 0 binary64)) (/.f64 (*.f64 eps eps) #s(literal 0 binary64)) (fma.f64 (/.f64 (*.f64 eps eps) #s(literal 0 binary64)) (/.f64 (*.f64 eps eps) #s(literal 0 binary64)) (*.f64 (/.f64 (*.f64 eps eps) #s(literal 0 binary64)) (/.f64 (*.f64 eps eps) #s(literal 0 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))))) (-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 eps eps #s(literal 0 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 eps eps))) #s(literal 0 binary64)) |
(/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64)) (*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 eps eps #s(literal 0 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps #s(literal 0 binary64)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps #s(literal 0 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) eps) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 eps))) (sqrt.f64 (neg.f64 (neg.f64 eps))) eps) |
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) eps) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) eps) |
(-.f64 (/.f64 (*.f64 eps eps) #s(literal 0 binary64)) (/.f64 (*.f64 eps eps) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64)))) |
(+.f64 (neg.f64 eps) (neg.f64 eps)) |
(+.f64 eps eps) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps)))) (*.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) eps)) x) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) eps)) x))) (fma.f64 eps eps (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) eps)) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))))) (*.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))) (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) eps)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) eps)) x) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) eps)) x) (*.f64 (*.f64 eps eps) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) eps)) x))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (*.f64 (*.f64 eps eps) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) eps)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 eps)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 eps)) eps) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 (neg.f64 eps)) eps))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 eps) eps)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))) (*.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))) (pow.f64 eps #s(literal 6 binary64)))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64))) (fma.f64 eps eps (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) eps)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 eps) eps))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 (neg.f64 eps)) eps))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 eps))) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) |
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 (neg.f64 eps)) eps)) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 eps eps)) |
(fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) |
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 (neg.f64 (neg.f64 eps)) eps)) |
(fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 eps eps)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (*.f64 (neg.f64 (neg.f64 eps)) eps)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (*.f64 eps eps)) |
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (*.f64 (neg.f64 (neg.f64 eps)) eps)) |
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (*.f64 eps eps)) |
(fma.f64 eps eps (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) eps) x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 eps) eps))))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 eps) eps)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps)))) |
(-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) eps)) x)) |
(-.f64 (*.f64 eps eps) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) eps))) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 eps))) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 eps) eps)) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps)))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) eps) eps))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps))) (/.f64 (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 eps eps)) (fma.f64 (*.f64 x #s(literal 2 binary64)) eps (*.f64 (neg.f64 eps) eps)))) |
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 2 binary64) eps) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 (neg.f64 eps)) eps)) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) eps) x) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (*.f64 #s(literal 2 binary64) eps) x (*.f64 eps eps))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 eps)))) |
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps))) |
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps))) |
(*.f64 (neg.f64 eps) (neg.f64 eps)) |
(*.f64 eps eps) |
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 eps) #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(pow.f64 eps #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 eps) eps)) |
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 eps) eps)) |
(fabs.f64 (*.f64 eps eps)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
Compiled 4 996 to 545 computations (89.1% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 157 | 0 | 157 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 5 | 5 |
| Total | 157 | 8 | 165 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))) |
| ✓ | 77.5% | (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) |
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps))) |
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
| ✓ | 100.0% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
| ✓ | 62.9% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) |
| ✓ | 74.5% | #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
| ✓ | 39.5% | #s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
Compiled 348 to 138 computations (60.3% saved)
| Inputs |
|---|
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps #s(literal 2 binary64)) x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps))) |
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (*.f64 eps #s(literal 2 binary64)) x (*.f64 eps eps))) |
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) |
(fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
3 calls:
| 30.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 4.0ms | eps |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | eps |
| 100.0% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps #s(literal 2 binary64)) x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (*.f64 eps x) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) |
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) |
3 calls:
| 2.0ms | eps |
| 2.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 3 | x |
| 88.5% | 3 | eps |
| 97.3% | 2 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
1 calls:
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
3 calls:
| 22.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 1.0ms | x |
| 1.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.5% | 1 | eps |
| 74.5% | 1 | x |
| 74.5% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
Compiled 11 to 11 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
3 calls:
| 1.0ms | eps |
| 1.0ms | x |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.5% | 1 | x |
| 39.5% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) |
| 39.5% | 1 | eps |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1e-323 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1e-323 |
Compiled 12 to 12 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 128 |
| 1 | 57 | 122 |
| 2 | 124 | 122 |
| 3 | 418 | 120 |
| 4 | 1253 | 106 |
| 5 | 3085 | 106 |
| 6 | 6651 | 106 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) |
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) |
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 0 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 51 | 20 |
| 2 | 364 | 20 |
| 3 | 5050 | 20 |
| 0 | 8368 | 20 |
| 0 | 69 | 215 |
| 1 | 239 | 203 |
| 2 | 827 | 191 |
| 3 | 3630 | 191 |
| 0 | 8470 | 176 |
| 0 | 28 | 149 |
| 0 | 39 | 139 |
| 1 | 175 | 135 |
| 2 | 1361 | 135 |
| 0 | 8335 | 130 |
| 0 | 82 | 166 |
| 1 | 285 | 146 |
| 2 | 1023 | 146 |
| 3 | 3769 | 146 |
| 0 | 9101 | 134 |
| 0 | 82 | 169 |
| 1 | 285 | 149 |
| 2 | 1030 | 149 |
| 3 | 3775 | 149 |
| 0 | 9058 | 137 |
| 0 | 23 | 118 |
| 0 | 39 | 111 |
| 1 | 177 | 99 |
| 2 | 1595 | 99 |
| 0 | 8465 | 99 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 282 to 146 computations (48.2% saved)
Compiled 268 to 80 computations (70.1% saved)
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