Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, A
Time bar (total: 793.0ms)
| 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 9 to 9 computations (0% saved)
| 350.0ms | 7 600× | 0 | valid |
| 21.0ms | 220× | 2 | valid |
| 20.0ms | 302× | 1 | valid |
| 14.0ms | 134× | 3 | valid |
ival-sub: 68.0ms (31% of total)ival-div: 65.0ms (29.6% of total)ival-mult: 57.0ms (26% of total)adjust: 12.0ms (5.5% of total)exact: 8.0ms (3.6% of total)ival-true: 6.0ms (2.7% of total)ival-assert: 3.0ms (1.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 8 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 3 binary64) #s(literal 8 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 |
| 24.0ms | 470× | 0 | valid |
| 2.0ms | 18× | 2 | valid |
| 2.0ms | 22× | 1 | valid |
| 0.0ms | 2× | 3 | valid |
Compiled 68 to 32 computations (52.9% saved)
ival-div: 6.0ms (42.5% of total)ival-mult: 3.0ms (21.3% of total)ival-sub: 3.0ms (21.3% of total)adjust: 1.0ms (7.1% of total)ival-true: 1.0ms (7.1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| Inputs |
|---|
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| Outputs |
|---|
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
Compiled 7 to 7 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
Compiled 7 to 7 computations (0% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) | |
| cost-diff | 0 | (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| Inputs |
|---|
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
x |
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
y |
| Outputs |
|---|
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
x |
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) | |
| accuracy | 0.0 | (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) | |
| accuracy | 0.08984375 | (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| 12.0ms | 235× | 0 | valid |
| 1.0ms | 9× | 2 | valid |
| 1.0ms | 11× | 1 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 40 to 16 computations (60% saved)
ival-div: 3.0ms (41.3% of total)ival-mult: 2.0ms (27.5% of total)ival-sub: 1.0ms (13.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) |
| Outputs |
|---|
(* -3/8 y) |
(- x (* 3/8 y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+ x (* -3/8 y)) |
(* 3/8 y) |
(* y (- (/ x y) 3/8)) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((- x (* (/ 3 8) y)) (* (/ 3 8) y) (/ 3 8)) |
| 1.0ms | y | @ | inf | ((- x (* (/ 3 8) y)) (* (/ 3 8) y) (/ 3 8)) |
| 0.0ms | y | @ | 0 | ((- x (* (/ 3 8) y)) (* (/ 3 8) y) (/ 3 8)) |
| 0.0ms | x | @ | inf | ((- x (* (/ 3 8) y)) (* (/ 3 8) y) (/ 3 8)) |
| 0.0ms | x | @ | 0 | ((- x (* (/ 3 8) y)) (* (/ 3 8) y) (/ 3 8)) |
| 1× | egg-herbie |
| Inputs |
|---|
(* -3/8 y) |
(- x (* 3/8 y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+ x (* -3/8 y)) |
(* 3/8 y) |
(* y (- (/ x y) 3/8)) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
| Outputs |
|---|
(* -3/8 y) |
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
(- x (* 3/8 y)) |
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
x |
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) |
| Inputs |
|---|
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) |
| Outputs |
|---|
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) |
Compiled 60 to 15 computations (75% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 2 | 6 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 4 | 3 | 7 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| ▶ | 3.1% | #s(approx (- x (* (/ 3 8) y)) (/.f64 #s(literal 3 binary64) #s(literal 8 binary64))) |
| ▶ | 2.3% | #s(approx (- x (* (/ 3 8) y)) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
Compiled 31 to 30 computations (3.2% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) | |
| cost-diff | 0 | #s(approx (- x (* (/ 3 8) y)) (/.f64 #s(literal 3 binary64) #s(literal 8 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) | |
| cost-diff | 0 | #s(approx (- x (* (/ 3 8) y)) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| Inputs |
|---|
#s(approx (- x (* (/ 3 8) y)) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
y |
#s(approx (- x (* (/ 3 8) y)) (/.f64 #s(literal 3 binary64) #s(literal 8 binary64))) |
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
| Outputs |
|---|
#s(approx (- x (* (/ 3 8) y)) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
y |
#s(approx (- x (* (/ 3 8) y)) (/.f64 #s(literal 3 binary64) #s(literal 8 binary64))) |
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) | |
| accuracy | 62.00321606538932 | #s(approx (- x (* (/ 3 8) y)) (/.f64 #s(literal 3 binary64) #s(literal 8 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) | |
| accuracy | 0.0 | (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) | |
| accuracy | 62.542164435869196 | #s(approx (- x (* (/ 3 8) y)) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| 11.0ms | 235× | 0 | valid |
| 2.0ms | 11× | 1 | valid |
| 1.0ms | 9× | 2 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 72 to 22 computations (69.4% saved)
ival-div: 2.0ms (35% of total)ival-mult: 2.0ms (35% of total)ival-sub: 1.0ms (17.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- x (* (/ 3 8) y)) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) |
#s(approx (- x (* (/ 3 8) y)) (/.f64 #s(literal 3 binary64) #s(literal 8 binary64))) |
| Outputs |
|---|
(* -3/8 y) |
(- x (* 3/8 y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+ x (* -3/8 y)) |
(* 3/8 y) |
(* y (- (/ x y) 3/8)) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | ((- x (* (/ 3 8) y)) (* (/ 3 8) y) (/ 3 8) (- x (* (/ 3 8) y))) |
| 0.0ms | y | @ | -inf | ((- x (* (/ 3 8) y)) (* (/ 3 8) y) (/ 3 8) (- x (* (/ 3 8) y))) |
| 0.0ms | x | @ | inf | ((- x (* (/ 3 8) y)) (* (/ 3 8) y) (/ 3 8) (- x (* (/ 3 8) y))) |
| 0.0ms | x | @ | -inf | ((- x (* (/ 3 8) y)) (* (/ 3 8) y) (/ 3 8) (- x (* (/ 3 8) y))) |
| 0.0ms | y | @ | 0 | ((- x (* (/ 3 8) y)) (* (/ 3 8) y) (/ 3 8) (- x (* (/ 3 8) y))) |
| 1× | egg-herbie |
| Inputs |
|---|
(* -3/8 y) |
(- x (* 3/8 y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+ x (* -3/8 y)) |
(* 3/8 y) |
(* y (- (/ x y) 3/8)) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
| Outputs |
|---|
(* -3/8 y) |
#s(approx (- x (* (/ 3 8) y)) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
(- x (* 3/8 y)) |
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
x |
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) |
(* x (+ 1 (* -3/8 (/ y x)))) |
#s(approx (- x (* (/ 3 8) y)) (/.f64 #s(literal 3 binary64) #s(literal 8 binary64))) |
| Inputs |
|---|
#s(approx (- x (* (/ 3 8) y)) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) |
#s(approx (- x (* (/ 3 8) y)) (/.f64 #s(literal 3 binary64) #s(literal 8 binary64))) |
| Outputs |
|---|
#s(approx (- x (* (/ 3 8) y)) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) |
#s(approx (- x (* (/ 3 8) y)) (/.f64 #s(literal 3 binary64) #s(literal 8 binary64))) |
Compiled 101 to 15 computations (85.1% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 7 | 0 | 7 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 1 | 1 |
| Total | 7 | 3 | 10 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| ✓ | 3.1% | #s(approx (- x (* (/ 3 8) y)) (/.f64 #s(literal 3 binary64) #s(literal 8 binary64))) |
| ✓ | 2.3% | #s(approx (- x (* (/ 3 8) y)) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
Compiled 62 to 44 computations (29% saved)
| Inputs |
|---|
#s(approx (- x (* (/ 3 8) y)) (/.f64 #s(literal 3 binary64) #s(literal 8 binary64))) |
#s(approx (- x (* (/ 3 8) y)) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| Outputs |
|---|
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
4 calls:
| 2.0ms | (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
| 2.0ms | (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| 99.9% | 1 | (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
Compiled 14 to 17 computations (-21.4% saved)
Total -1.0b remaining (-1.6%)
Threshold costs -1b (-1.6%)
| Inputs |
|---|
#s(approx (- x (* (/ 3 8) y)) (/.f64 #s(literal 3 binary64) #s(literal 8 binary64))) |
#s(approx (- x (* (/ 3 8) y)) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| Outputs |
|---|
#s(approx (- x (* (/ 3 8) y)) (/.f64 #s(literal 3 binary64) #s(literal 8 binary64))) |
4 calls:
| 3.0ms | x |
| 1.0ms | (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
| 1.0ms | (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.1% | 1 | x |
| 3.1% | 1 | y |
| 3.1% | 1 | (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| 3.1% | 1 | (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
Compiled 14 to 17 computations (-21.4% saved)
| 1× | egg-herbie |
| Inputs |
|---|
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
#s(approx (- x (* (/ 3 8) y)) (/.f64 #s(literal 3 binary64) #s(literal 8 binary64))) |
| Outputs |
|---|
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
#s(approx (- x (* (/ 3 8) y)) (/.f64 #s(literal 3 binary64) #s(literal 8 binary64))) |
| 1× | done |
Compiled 18 to 13 computations (27.8% saved)
Compiled 50 to 40 computations (20% saved)
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