Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, E
Time bar (total: 2.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 436.0ms | 8 256× | 0 | valid |
ival-div: 83.0ms (46.4% of total)ival-sub: 83.0ms (46.4% of total)ival-true: 6.0ms (3.4% of total)exact: 4.0ms (2.2% of total)ival-assert: 3.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 y #s(literal 4 binary64))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 y #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 25.0ms | 512× | 0 | valid |
Compiled 42 to 24 computations (42.9% saved)
ival-sub: 7.0ms (54.6% of total)ival-div: 5.0ms (39% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 1 | 30 | 27 |
| 2 | 74 | 25 |
| 3 | 152 | 25 |
| 4 | 250 | 25 |
| 5 | 293 | 25 |
| 6 | 299 | 25 |
| 0 | 5 | 5 |
| 0 | 7 | 5 |
| 1 | 9 | 5 |
| 2 | 19 | 5 |
| 3 | 27 | 5 |
| 4 | 39 | 5 |
| 5 | 58 | 5 |
| 6 | 94 | 5 |
| 7 | 126 | 5 |
| 8 | 182 | 5 |
| 9 | 213 | 5 |
| 10 | 246 | 5 |
| 11 | 247 | 5 |
| 0 | 247 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 y #s(literal 4 binary64))) |
| Outputs |
|---|
(fma.f64 #s(literal -1/4 binary64) y x) |
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 y #s(literal 4 binary64))) |
Compiled 5 to 5 computations (0% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 x (/.f64 y #s(literal 4 binary64))) | |
| cost-diff | 384 | (/.f64 y #s(literal 4 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 7 | 11 |
| 1 | 9 | 11 |
| 2 | 19 | 11 |
| 3 | 27 | 11 |
| 4 | 39 | 11 |
| 5 | 58 | 11 |
| 6 | 94 | 11 |
| 7 | 126 | 11 |
| 8 | 182 | 11 |
| 9 | 213 | 11 |
| 10 | 246 | 11 |
| 11 | 247 | 11 |
| 0 | 247 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 y #s(literal 4 binary64))) |
x |
(/.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
| Outputs |
|---|
(fma.f64 #s(literal -1/4 binary64) y x) |
x |
(*.f64 #s(literal 1/4 binary64) y) |
y |
#s(literal 4 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y #s(literal 4 binary64)) | |
| accuracy | 0 | (-.f64 x (/.f64 y #s(literal 4 binary64))) |
| 10.0ms | 256× | 0 | valid |
Compiled 24 to 12 computations (50% saved)
ival-div: 2.0ms (58.6% of total)ival-sub: 1.0ms (29.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 y #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((/ y 4) (- x (/ y 4))) |
| 1.0ms | y | @ | -inf | ((/ y 4) (- x (/ y 4))) |
| 1.0ms | x | @ | -inf | ((/ y 4) (- x (/ y 4))) |
| 0.0ms | y | @ | 0 | ((/ y 4) (- x (/ y 4))) |
| 0.0ms | x | @ | inf | ((/ y 4) (- x (/ y 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 138 |
| 1 | 68 | 138 |
| 2 | 170 | 138 |
| 3 | 455 | 138 |
| 4 | 1251 | 138 |
| 5 | 2461 | 138 |
| 6 | 3262 | 138 |
| 7 | 3598 | 138 |
| 8 | 3894 | 138 |
| 9 | 4077 | 138 |
| 10 | 5218 | 138 |
| 11 | 6014 | 138 |
| 12 | 6782 | 138 |
| 13 | 7050 | 138 |
| 14 | 7830 | 138 |
| 0 | 8366 | 120 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
x |
(+ x (* -1/4 y)) |
(+ x (* -1/4 y)) |
(+ x (* -1/4 y)) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* -1/4 y) |
(* y (- (/ x y) 1/4)) |
(* y (- (/ x y) 1/4)) |
(* y (- (/ x y) 1/4)) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* 1/4 y) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* -1 (/ x y))))) |
(* -1 (* y (+ 1/4 (* -1 (/ x y))))) |
(* -1 (* y (+ 1/4 (* -1 (/ x y))))) |
(* -1/4 y) |
(- x (* 1/4 y)) |
(- x (* 1/4 y)) |
(- x (* 1/4 y)) |
x |
(* x (+ 1 (* -1/4 (/ y x)))) |
(* x (+ 1 (* -1/4 (/ y x)))) |
(* x (+ 1 (* -1/4 (/ y x)))) |
x |
(* -1 (* x (- (* 1/4 (/ y x)) 1))) |
(* -1 (* x (- (* 1/4 (/ y x)) 1))) |
(* -1 (* x (- (* 1/4 (/ y x)) 1))) |
| Outputs |
|---|
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 #s(literal 1/4 binary64) y) |
x |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 #s(literal -1/4 binary64) y) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 #s(literal -1/4 binary64) y) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(*.f64 #s(literal -1/4 binary64) y) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
x |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
x |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 32 | 8 |
| 2 | 248 | 8 |
| 3 | 4066 | 8 |
| 0 | 8150 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 y #s(literal 4 binary64)) |
(-.f64 x (/.f64 y #s(literal 4 binary64))) |
| Outputs |
|---|
#<batchref> |
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Compiled 2 811 to 401 computations (85.7% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 161 | 2 | 163 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 162 | 2 | 164 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 y #s(literal -1/4 binary64) x) |
| ▶ | 52.1% | #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y #s(literal -1/4 binary64) x) | |
| cost-diff | 0 | (*.f64 #s(literal -1/4 binary64) y) | |
| cost-diff | 0 | #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 0 | 12 | 21 |
| 1 | 16 | 21 |
| 2 | 26 | 21 |
| 3 | 34 | 21 |
| 4 | 47 | 20 |
| 5 | 71 | 20 |
| 6 | 106 | 20 |
| 7 | 135 | 20 |
| 8 | 191 | 20 |
| 9 | 222 | 20 |
| 10 | 255 | 20 |
| 11 | 256 | 20 |
| 0 | 256 | 20 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) |
(*.f64 #s(literal -1/4 binary64) y) |
#s(literal -1/4 binary64) |
y |
(fma.f64 y #s(literal -1/4 binary64) x) |
y |
#s(literal -1/4 binary64) |
x |
| Outputs |
|---|
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) |
(*.f64 #s(literal -1/4 binary64) y) |
#s(literal -1/4 binary64) |
y |
(fma.f64 #s(literal -1/4 binary64) y x) |
y |
#s(literal -1/4 binary64) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y #s(literal -1/4 binary64) x) | |
| accuracy | 0 | (*.f64 #s(literal -1/4 binary64) y) | |
| accuracy | 30.628340500466866 | #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) |
| 18.0ms | 256× | 0 | valid |
Compiled 41 to 20 computations (51.2% saved)
ival-mult: 3.0ms (35.4% of total)ival-div: 2.0ms (23.6% of total)ival-sub: 1.0ms (11.8% of total)ival-add: 1.0ms (11.8% of total)exact: 1.0ms (11.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal -1/4 binary64) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/4 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/4 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/4 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/4 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/4 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/4 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/4 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/4 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/4 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/4 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/4 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal -1/4 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y #s(literal -1/4 binary64) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | ((- x (/ y 4)) (* -1/4 y) (+ (* y -1/4) x)) |
| 0.0ms | y | @ | 0 | ((- x (/ y 4)) (* -1/4 y) (+ (* y -1/4) x)) |
| 0.0ms | y | @ | -inf | ((- x (/ y 4)) (* -1/4 y) (+ (* y -1/4) x)) |
| 0.0ms | x | @ | -inf | ((- x (/ y 4)) (* -1/4 y) (+ (* y -1/4) x)) |
| 0.0ms | x | @ | inf | ((- x (/ y 4)) (* -1/4 y) (+ (* y -1/4) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 240 |
| 1 | 68 | 240 |
| 2 | 170 | 240 |
| 3 | 456 | 240 |
| 4 | 1244 | 240 |
| 5 | 2466 | 240 |
| 6 | 3268 | 240 |
| 7 | 3604 | 240 |
| 8 | 3900 | 240 |
| 9 | 4083 | 240 |
| 10 | 5229 | 240 |
| 11 | 6025 | 240 |
| 12 | 6793 | 240 |
| 13 | 7061 | 240 |
| 14 | 7841 | 240 |
| 0 | 8377 | 204 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1/4 y)) |
(+ x (* -1/4 y)) |
(+ x (* -1/4 y)) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
x |
(+ x (* -1/4 y)) |
(+ x (* -1/4 y)) |
(+ x (* -1/4 y)) |
(* -1/4 y) |
(* y (- (/ x y) 1/4)) |
(* y (- (/ x y) 1/4)) |
(* y (- (/ x y) 1/4)) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* y (- (/ x y) 1/4)) |
(* y (- (/ x y) 1/4)) |
(* y (- (/ x y) 1/4)) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* -1 (/ x y))))) |
(* -1 (* y (+ 1/4 (* -1 (/ x y))))) |
(* -1 (* y (+ 1/4 (* -1 (/ x y))))) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -1/4 y) |
(* -1 (* y (+ 1/4 (* -1 (/ x y))))) |
(* -1 (* y (+ 1/4 (* -1 (/ x y))))) |
(* -1 (* y (+ 1/4 (* -1 (/ x y))))) |
(* -1/4 y) |
(- x (* 1/4 y)) |
(- x (* 1/4 y)) |
(- x (* 1/4 y)) |
(* -1/4 y) |
(+ x (* -1/4 y)) |
(+ x (* -1/4 y)) |
(+ x (* -1/4 y)) |
x |
(* x (+ 1 (* -1/4 (/ y x)))) |
(* x (+ 1 (* -1/4 (/ y x)))) |
(* x (+ 1 (* -1/4 (/ y x)))) |
x |
(* x (+ 1 (* -1/4 (/ y x)))) |
(* x (+ 1 (* -1/4 (/ y x)))) |
(* x (+ 1 (* -1/4 (/ y x)))) |
x |
(* -1 (* x (- (* 1/4 (/ y x)) 1))) |
(* -1 (* x (- (* 1/4 (/ y x)) 1))) |
(* -1 (* x (- (* 1/4 (/ y x)) 1))) |
x |
(* -1 (* x (- (* 1/4 (/ y x)) 1))) |
(* -1 (* x (- (* 1/4 (/ y x)) 1))) |
(* -1 (* x (- (* 1/4 (/ y x)) 1))) |
| Outputs |
|---|
x |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(*.f64 #s(literal -1/4 binary64) y) |
(*.f64 #s(literal -1/4 binary64) y) |
(*.f64 #s(literal -1/4 binary64) y) |
(*.f64 #s(literal -1/4 binary64) y) |
x |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(*.f64 #s(literal -1/4 binary64) y) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(*.f64 #s(literal -1/4 binary64) y) |
(*.f64 #s(literal -1/4 binary64) y) |
(*.f64 #s(literal -1/4 binary64) y) |
(*.f64 #s(literal -1/4 binary64) y) |
(*.f64 #s(literal -1/4 binary64) y) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(*.f64 #s(literal -1/4 binary64) y) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(*.f64 #s(literal -1/4 binary64) y) |
(*.f64 #s(literal -1/4 binary64) y) |
(*.f64 #s(literal -1/4 binary64) y) |
(*.f64 #s(literal -1/4 binary64) y) |
(*.f64 #s(literal -1/4 binary64) y) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(*.f64 #s(literal -1/4 binary64) y) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(*.f64 #s(literal -1/4 binary64) y) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
x |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
x |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
x |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
x |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
(fma.f64 #s(literal -1/4 binary64) y x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 0 | 12 | 16 |
| 1 | 49 | 15 |
| 2 | 399 | 15 |
| 3 | 6477 | 15 |
| 0 | 8203 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) |
(*.f64 #s(literal -1/4 binary64) y) |
(fma.f64 y #s(literal -1/4 binary64) x) |
| Outputs |
|---|
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Compiled 3 823 to 418 computations (89.1% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 195 | 0 | 195 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 195 | 2 | 197 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 y #s(literal -1/4 binary64) x) |
| ✓ | 52.1% | #s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) |
Compiled 31 to 24 computations (22.6% saved)
| Inputs |
|---|
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) |
(fma.f64 y #s(literal -1/4 binary64) x) |
(-.f64 x (/.f64 y #s(literal 4 binary64))) |
| Outputs |
|---|
(fma.f64 y #s(literal -1/4 binary64) x) |
4 calls:
| 3.0ms | (/.f64 y #s(literal 4 binary64)) |
| 2.0ms | (-.f64 x (/.f64 y #s(literal 4 binary64))) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (-.f64 x (/.f64 y #s(literal 4 binary64))) |
| 100.0% | 1 | (/.f64 y #s(literal 4 binary64)) |
Compiled 10 to 13 computations (-30% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) |
| Outputs |
|---|
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) |
4 calls:
| 1.0ms | (/.f64 y #s(literal 4 binary64)) |
| 1.0ms | (-.f64 x (/.f64 y #s(literal 4 binary64))) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | x |
| 52.1% | 1 | y |
| 52.1% | 1 | (-.f64 x (/.f64 y #s(literal 4 binary64))) |
| 52.1% | 1 | (/.f64 y #s(literal 4 binary64)) |
Compiled 10 to 13 computations (-30% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 10 | 13 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y #s(literal -1/4 binary64) x) |
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) |
| Outputs |
|---|
(fma.f64 y #s(literal -1/4 binary64) x) |
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 32 | 8 |
| 2 | 248 | 8 |
| 3 | 4066 | 8 |
| 0 | 8150 | 7 |
| 0 | 25 | 138 |
| 1 | 68 | 138 |
| 2 | 170 | 138 |
| 3 | 455 | 138 |
| 4 | 1251 | 138 |
| 5 | 2461 | 138 |
| 6 | 3262 | 138 |
| 7 | 3598 | 138 |
| 8 | 3894 | 138 |
| 9 | 4077 | 138 |
| 10 | 5218 | 138 |
| 11 | 6014 | 138 |
| 12 | 6782 | 138 |
| 13 | 7050 | 138 |
| 14 | 7830 | 138 |
| 0 | 8366 | 120 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 25 to 20 computations (20% saved)
Compiled 36 to 28 computations (22.2% saved)
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