
Time bar (total: 5.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 748.0ms | 8 256× | 0 | valid |
ival-mult: 142.0ms (44.4% of total)ival-sub: 103.0ms (32.2% of total)ival-div: 60.0ms (18.8% of total)ival-true: 6.0ms (1.9% of total)exact: 5.0ms (1.6% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 32 | 0 | - | 3 | (-1.169213006955373e-260 -9.258664543269425e-162) | (/.f64 x (*.f64 y y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 x (*.f64 y y)) | n/u | 17 | 0 |
| ↳ | (*.f64 y y) | underflow | 60 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 17 | 3 |
| - | 0 | 236 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 17 | 0 | 3 |
| - | 0 | 0 | 236 |
| number | freq |
|---|---|
| 0 | 239 |
| 1 | 17 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 52.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-mult: 4.0ms (36.7% of total)ival-div: 3.0ms (27.5% of total)ival-sub: 2.0ms (18.3% 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 | 16 | 39 |
| 1 | 43 | 37 |
| 2 | 115 | 35 |
| 3 | 300 | 35 |
| 4 | 666 | 35 |
| 5 | 1065 | 35 |
| 6 | 1542 | 35 |
| 7 | 1605 | 35 |
| 8 | 1629 | 35 |
| 9 | 1648 | 35 |
| 10 | 1652 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 14 | 7 |
| 2 | 15 | 7 |
| 0 | 15 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(abs y)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.0% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 x (*.f64 y y)) | |
| cost-diff | 0 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 14 | 18 |
| 2 | 15 | 18 |
| 0 | 15 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 7.303205688877045 | (/.f64 x (*.f64 y y)) |
| 12.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-div: 2.0ms (38.2% of total)ival-mult: 2.0ms (38.2% of total)ival-sub: 1.0ms (19.1% 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 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1.0ms | x | @ | -inf | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1.0ms | x | @ | inf | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1.0ms | y | @ | inf | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1.0ms | y | @ | 0 | ((- (/ x (* y y)) 3) (/ x (* y y)) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 372 |
| 1 | 43 | 372 |
| 2 | 103 | 372 |
| 3 | 250 | 372 |
| 4 | 478 | 372 |
| 5 | 788 | 372 |
| 6 | 1182 | 372 |
| 7 | 1868 | 300 |
| 8 | 2714 | 300 |
| 9 | 3373 | 300 |
| 10 | 3861 | 300 |
| 11 | 4121 | 300 |
| 12 | 4302 | 300 |
| 13 | 4791 | 300 |
| 14 | 5580 | 300 |
| 15 | 6242 | 300 |
| 16 | 7451 | 300 |
| 0 | 8065 | 300 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
| Outputs |
|---|
(/.f64 x (*.f64 y y)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 38 | 15 |
| 2 | 288 | 15 |
| 3 | 3249 | 15 |
| 0 | 8174 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 6 915 to 670 computations (90.3% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 279 | 8 | 287 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 279 | 9 | 288 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.6% | (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) |
| ▶ | 99.9% | (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) |
| ▶ | 62.1% | (-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) |
| 99.9% | (-.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) #s(literal 3 binary64)) | |
| ▶ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ✓ | 93.0% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 99.9% | (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) | |
| 41.1% | #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) | |
| ▶ | 53.4% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 155 to 134 computations (13.5% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 y y) x) | |
| cost-diff | 0 | (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 12544 | (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (pow.f64 y #s(literal -2 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) y) | |
| cost-diff | 320 | (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) y) | |
| cost-diff | 0 | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 103 |
| 0 | 42 | 93 |
| 1 | 61 | 93 |
| 2 | 91 | 93 |
| 3 | 150 | 93 |
| 4 | 241 | 93 |
| 5 | 668 | 93 |
| 6 | 1283 | 93 |
| 7 | 1813 | 93 |
| 8 | 2119 | 93 |
| 9 | 2147 | 93 |
| 10 | 2171 | 93 |
| 11 | 2189 | 93 |
| 12 | 2191 | 93 |
| 0 | 2191 | 93 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(literal 3 binary64) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(literal -3 binary64) |
(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) |
(pow.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
x |
#s(literal -3 binary64) |
(-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(literal 3 binary64) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(literal -3 binary64) |
(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) |
(pow.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
x |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.12890625 | (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 4.280569000532806 | (/.f64 (*.f64 y y) x) | |
| accuracy | 8.537571002933744 | (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (pow.f64 y #s(literal -2 binary64)) | |
| accuracy | 2.3381819517484512 | (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) | |
| accuracy | 0 | (/.f64 (neg.f64 x) y) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.02734375 | (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) | |
| accuracy | 13.79162908921092 | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) | |
| accuracy | 0.09375 | (/.f64 (/.f64 x y) y) |
| 29.0ms | 139× | 0 | invalid |
| 25.0ms | 117× | 0 | valid |
Compiled 208 to 55 computations (73.6% saved)
ival-div: 10.0ms (29% of total)ival-pow2: 6.0ms (17.4% of total)ival-pow: 6.0ms (17.4% of total)ival-mult: 5.0ms (14.5% of total)ival-sub: 3.0ms (8.7% of total)ival-add: 2.0ms (5.8% of total)exact: 1.0ms (2.9% of total)ival-neg: 1.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 y #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (+ (* (pow y -2) x) -3) (pow y -2) (pow (pow (/ (* y y) x) -1/2) 2) (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (pow (/ (* y y) x) -1/2) (/ (* y y) x) (* y y)) |
| 3.0ms | x | @ | -inf | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (+ (* (pow y -2) x) -3) (pow y -2) (pow (pow (/ (* y y) x) -1/2) 2) (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (pow (/ (* y y) x) -1/2) (/ (* y y) x) (* y y)) |
| 3.0ms | y | @ | 0 | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (+ (* (pow y -2) x) -3) (pow y -2) (pow (pow (/ (* y y) x) -1/2) 2) (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (pow (/ (* y y) x) -1/2) (/ (* y y) x) (* y y)) |
| 2.0ms | x | @ | 0 | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (+ (* (pow y -2) x) -3) (pow y -2) (pow (pow (/ (* y y) x) -1/2) 2) (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (pow (/ (* y y) x) -1/2) (/ (* y y) x) (* y y)) |
| 2.0ms | y | @ | inf | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) (- (/ x (* y y)) 3) (+ (* (/ (neg x) y) (/ -1 y)) -3) (/ (neg x) y) (neg x) (/ -1 y) (+ (* (pow y -2) x) -3) (pow y -2) (pow (pow (/ (* y y) x) -1/2) 2) (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (pow (/ (* y y) x) -1/2) (/ (* y y) x) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 1612 |
| 1 | 99 | 1564 |
| 2 | 296 | 1564 |
| 3 | 685 | 1564 |
| 4 | 2002 | 1564 |
| 5 | 4505 | 1564 |
| 6 | 6273 | 1564 |
| 7 | 6949 | 1564 |
| 8 | 7255 | 1564 |
| 9 | 7332 | 1564 |
| 10 | 7379 | 1564 |
| 0 | 8011 | 1549 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -1 (* (sqrt x) (/ 1 y))) |
(* -1 (* (sqrt x) (/ 1 y))) |
(* -1 (* (sqrt x) (/ 1 y))) |
(* -1 (* (sqrt x) (/ 1 y))) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
(/ (pow y 2) x) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (sqrt.f64 x) (neg.f64 y)) |
(/.f64 (sqrt.f64 x) (neg.f64 y)) |
(/.f64 (sqrt.f64 x) (neg.f64 y)) |
(/.f64 (sqrt.f64 x) (neg.f64 y)) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 (*.f64 y y) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 86 |
| 0 | 42 | 77 |
| 1 | 176 | 72 |
| 2 | 1201 | 72 |
| 0 | 9106 | 72 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) y) |
(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) |
(pow.f64 y #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
| Outputs |
|---|
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Compiled 19 534 to 1 436 computations (92.6% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 225 | 7 | 1 232 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 230 | 11 | 1 241 |
| Status | Accuracy | Program |
|---|---|---|
| 92.6% | (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 y)) x #s(literal -3 binary64)) | |
| ✓ | 99.9% | (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) |
| ▶ | 92.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
| ▶ | 99.7% | (fma.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) |
| 45.6% | (-.f64 (pow.f64 #s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| ▶ | 99.9% | (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64)) |
| ✓ | 93.0% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ▶ | 99.9% | (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) #s(literal 3 binary64)) |
| 48.0% | #s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) | |
| ▶ | 41.1% | #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
| ✓ | 53.4% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 219 to 178 computations (18.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (pow.f64 y #s(literal -1 binary64)) | |
| cost-diff | 6080 | (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) | |
| cost-diff | 7040 | (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (/.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 y) x) y) | |
| cost-diff | 128 | (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) #s(literal 3 binary64)) | |
| cost-diff | -5440 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) | |
| cost-diff | -5760 | (/.f64 x (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (/.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 128 | (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 149 |
| 0 | 46 | 150 |
| 1 | 79 | 146 |
| 2 | 149 | 121 |
| 3 | 334 | 121 |
| 4 | 531 | 114 |
| 5 | 821 | 114 |
| 6 | 1115 | 114 |
| 7 | 1179 | 114 |
| 8 | 1195 | 114 |
| 9 | 1204 | 114 |
| 0 | 1204 | 114 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
x |
#s(literal 3 binary64) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
x |
#s(literal -3 binary64) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (neg.f64 y) x) y) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
#s(literal 3 binary64) |
(fma.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(pow.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
x |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -3 binary64) |
| Outputs |
|---|
(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
x |
#s(literal 3 binary64) |
#s(approx (- (/ x (* y y)) 3) (*.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) x) |
x |
(*.f64 y y) |
y |
(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) |
(pow.f64 y #s(literal -2 binary64)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
x |
#s(literal -3 binary64) |
(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) x) |
#s(literal -1 binary64) |
(*.f64 (/.f64 (neg.f64 y) x) y) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
#s(literal 3 binary64) |
(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) |
(/.f64 (neg.f64 x) y) |
(pow.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) x) |
x |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) | |
| accuracy | 0.140625 | (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) | |
| accuracy | 0.16796875 | (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) | |
| accuracy | 0 | (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) #s(literal 3 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.12890625 | (*.f64 (/.f64 (neg.f64 y) x) y) | |
| accuracy | 0.7194482901224333 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.6728774547297093 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 4.706325596755738 | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 7.303205688877045 | (/.f64 x (*.f64 y y)) | |
| accuracy | 33.225692162699154 | #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.17025375976844204 | (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
| 199.0ms | 256× | 0 | valid |
Compiled 296 to 56 computations (81.1% saved)
ival-add: 146.0ms (79.8% of total)ival-div: 14.0ms (7.6% of total)ival-mult: 8.0ms (4.4% of total)ival-sub: 7.0ms (3.8% of total)ival-pow: 7.0ms (3.8% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 y) x) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 y #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ()) |
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| Outputs |
|---|
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | ((- (/ (/ -1 y) (/ (neg y) x)) 3) (/ -1 y) (/ (neg y) x) (neg y) (- (/ x (* y y)) 3) (* y y) (/ x (* y y)) (+ (* (/ 1 (* y y)) x) -3) (/ 1 (* y y)) (- (/ -1 (* (/ (neg y) x) y)) 3) (* (/ (neg y) x) y) (pow (/ -1 x) -1) (* (pow y -1) (pow (/ -1 x) -1)) (pow y -1) (/ -1 x) (/ (/ -1 y) (/ (neg y) x)) (/ -1 (* (/ (neg y) x) y)) (+ (* (* (pow y -1) (pow (/ -1 x) -1)) (/ -1 y)) -3)) |
| 2.0ms | x | @ | 0 | ((- (/ (/ -1 y) (/ (neg y) x)) 3) (/ -1 y) (/ (neg y) x) (neg y) (- (/ x (* y y)) 3) (* y y) (/ x (* y y)) (+ (* (/ 1 (* y y)) x) -3) (/ 1 (* y y)) (- (/ -1 (* (/ (neg y) x) y)) 3) (* (/ (neg y) x) y) (pow (/ -1 x) -1) (* (pow y -1) (pow (/ -1 x) -1)) (pow y -1) (/ -1 x) (/ (/ -1 y) (/ (neg y) x)) (/ -1 (* (/ (neg y) x) y)) (+ (* (* (pow y -1) (pow (/ -1 x) -1)) (/ -1 y)) -3)) |
| 2.0ms | y | @ | inf | ((- (/ (/ -1 y) (/ (neg y) x)) 3) (/ -1 y) (/ (neg y) x) (neg y) (- (/ x (* y y)) 3) (* y y) (/ x (* y y)) (+ (* (/ 1 (* y y)) x) -3) (/ 1 (* y y)) (- (/ -1 (* (/ (neg y) x) y)) 3) (* (/ (neg y) x) y) (pow (/ -1 x) -1) (* (pow y -1) (pow (/ -1 x) -1)) (pow y -1) (/ -1 x) (/ (/ -1 y) (/ (neg y) x)) (/ -1 (* (/ (neg y) x) y)) (+ (* (* (pow y -1) (pow (/ -1 x) -1)) (/ -1 y)) -3)) |
| 2.0ms | x | @ | inf | ((- (/ (/ -1 y) (/ (neg y) x)) 3) (/ -1 y) (/ (neg y) x) (neg y) (- (/ x (* y y)) 3) (* y y) (/ x (* y y)) (+ (* (/ 1 (* y y)) x) -3) (/ 1 (* y y)) (- (/ -1 (* (/ (neg y) x) y)) 3) (* (/ (neg y) x) y) (pow (/ -1 x) -1) (* (pow y -1) (pow (/ -1 x) -1)) (pow y -1) (/ -1 x) (/ (/ -1 y) (/ (neg y) x)) (/ -1 (* (/ (neg y) x) y)) (+ (* (* (pow y -1) (pow (/ -1 x) -1)) (/ -1 y)) -3)) |
| 1.0ms | x | @ | -inf | ((- (/ (/ -1 y) (/ (neg y) x)) 3) (/ -1 y) (/ (neg y) x) (neg y) (- (/ x (* y y)) 3) (* y y) (/ x (* y y)) (+ (* (/ 1 (* y y)) x) -3) (/ 1 (* y y)) (- (/ -1 (* (/ (neg y) x) y)) 3) (* (/ (neg y) x) y) (pow (/ -1 x) -1) (* (pow y -1) (pow (/ -1 x) -1)) (pow y -1) (/ -1 x) (/ (/ -1 y) (/ (neg y) x)) (/ -1 (* (/ (neg y) x) y)) (+ (* (* (pow y -1) (pow (/ -1 x) -1)) (/ -1 y)) -3)) |
| 1× | egg-herbie |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 2028 |
| 1 | 67 | 2028 |
| 2 | 137 | 2028 |
| 3 | 312 | 2028 |
| 4 | 602 | 2028 |
| 5 | 1073 | 2028 |
| 6 | 1703 | 2028 |
| 7 | 2310 | 1668 |
| 8 | 2993 | 1668 |
| 9 | 3336 | 1668 |
| 10 | 3718 | 1668 |
| 11 | 3952 | 1668 |
| 12 | 4134 | 1668 |
| 13 | 4598 | 1668 |
| 14 | 5411 | 1668 |
| 15 | 6151 | 1668 |
| 16 | 7451 | 1668 |
| 0 | 8075 | 1668 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 119 |
| 0 | 46 | 118 |
| 1 | 200 | 84 |
| 2 | 1465 | 84 |
| 0 | 8657 | 84 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
(*.f64 y y) |
(/.f64 x (*.f64 y y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) #s(literal 3 binary64)) |
(*.f64 (/.f64 (neg.f64 y) x) y) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(fma.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) |
| Outputs |
|---|
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Compiled 23 306 to 1 819 computations (92.2% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 370 | 5 | 1 375 |
| Fresh | 0 | 3 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 374 | 12 | 1 386 |
| Status | Accuracy | Program |
|---|---|---|
| 92.6% | (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 y)) x #s(literal -3 binary64)) | |
| ✓ | 92.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
| ▶ | 45.6% | (-.f64 (pow.f64 #s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 3 binary64)) |
| ✓ | 93.0% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 79.0% | (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 x y)) (*.f64 x x)) y)) #s(literal 3 binary64)) | |
| ▶ | 99.8% | (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) #s(literal 3 binary64)) |
| ▶ | 48.0% | #s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) |
| ▶ | 47.9% | #s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))) |
| ✓ | 41.1% | #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
| 47.9% | #s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))) | |
| ▶ | 48.0% | #s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) |
| ✓ | 53.4% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 271 to 212 computations (21.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (sqrt.f64 x) y) | |
| cost-diff | 0 | #s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) | |
| cost-diff | 0 | (pow.f64 #s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 #s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))) | |
| cost-diff | 832 | (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) y) | |
| cost-diff | 0 | #s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) | |
| cost-diff | 448 | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) y) | |
| cost-diff | 0 | #s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) #s(literal 3 binary64)) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) x) y) | |
| cost-diff | 448 | (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 190 |
| 0 | 53 | 191 |
| 1 | 86 | 185 |
| 2 | 153 | 180 |
| 3 | 258 | 164 |
| 4 | 382 | 164 |
| 5 | 941 | 164 |
| 6 | 1896 | 164 |
| 7 | 2049 | 164 |
| 8 | 2124 | 164 |
| 9 | 2193 | 164 |
| 10 | 2219 | 164 |
| 11 | 2231 | 164 |
| 12 | 2232 | 164 |
| 0 | 2232 | 164 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y) |
(*.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/.f64 #s(literal -1 binary64) x) |
x |
y |
#s(literal 3 binary64) |
#s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
x |
(-.f64 (pow.f64 #s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 #s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) |
#s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
#s(literal -1 binary64) |
(*.f64 (/.f64 y x) (neg.f64 y)) |
(/.f64 (neg.f64 y) x) |
(/.f64 #s(literal -1 binary64) x) |
x |
y |
#s(literal 3 binary64) |
#s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
x |
(-.f64 (pow.f64 #s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 #s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) |
#s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0 | #s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) | |
| accuracy | 0.07421875 | (/.f64 (sqrt.f64 x) y) | |
| accuracy | 0.12890625 | (pow.f64 #s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.08822250976844201 | (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) | |
| accuracy | 15.315914590646603 | #s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.09765625 | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 15.315914590646603 | #s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.09375 | (/.f64 (/.f64 x y) y) | |
| accuracy | 15.315914590646603 | #s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) | |
| accuracy | 0 | (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) #s(literal 3 binary64)) | |
| accuracy | 0.07421875 | (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) | |
| accuracy | 0.078125 | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y) | |
| accuracy | 0.1015625 | (*.f64 (/.f64 #s(literal -1 binary64) x) y) |
| 32.0ms | 139× | 0 | invalid |
| 29.0ms | 117× | 0 | valid |
Compiled 343 to 68 computations (80.2% saved)
ival-div: 18.0ms (43.8% of total)ival-mult: 8.0ms (19.5% of total)ival-sub: 4.0ms (9.7% of total)ival-pow: 4.0ms (9.7% of total)ival-pow2: 3.0ms (7.3% of total)ival-sqrt: 2.0ms (4.9% of total)ival-neg: 2.0ms (4.9% of total)exact: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch #s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) #<representation binary64>) () ()) |
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| Outputs |
|---|
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 55.0ms | x | @ | 0 | ((/ -1 (* (* (/ -1 x) y) y)) (* (/ -1 x) y) (- (/ -1 (* (* (/ -1 x) y) y)) 3) (* (* (/ -1 x) y) y) (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/ (/ x y) y) (/ x y) (* (/ (neg x) y) (/ -1 y)) (- (/ x (* y y)) 3) (/ (neg x) y) (neg x) (/ (/ -1 y) (/ (neg y) x)) (- (/ x (* y y)) 3) (/ -1 y) (/ (neg y) x) (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (pow (pow (/ (* y y) x) -1/2) 2) (pow (/ (* y y) x) -1/2) (/ (sqrt x) y) (neg y) (sqrt x)) |
| 3.0ms | x | @ | -inf | ((/ -1 (* (* (/ -1 x) y) y)) (* (/ -1 x) y) (- (/ -1 (* (* (/ -1 x) y) y)) 3) (* (* (/ -1 x) y) y) (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/ (/ x y) y) (/ x y) (* (/ (neg x) y) (/ -1 y)) (- (/ x (* y y)) 3) (/ (neg x) y) (neg x) (/ (/ -1 y) (/ (neg y) x)) (- (/ x (* y y)) 3) (/ -1 y) (/ (neg y) x) (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (pow (pow (/ (* y y) x) -1/2) 2) (pow (/ (* y y) x) -1/2) (/ (sqrt x) y) (neg y) (sqrt x)) |
| 3.0ms | x | @ | inf | ((/ -1 (* (* (/ -1 x) y) y)) (* (/ -1 x) y) (- (/ -1 (* (* (/ -1 x) y) y)) 3) (* (* (/ -1 x) y) y) (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/ (/ x y) y) (/ x y) (* (/ (neg x) y) (/ -1 y)) (- (/ x (* y y)) 3) (/ (neg x) y) (neg x) (/ (/ -1 y) (/ (neg y) x)) (- (/ x (* y y)) 3) (/ -1 y) (/ (neg y) x) (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (pow (pow (/ (* y y) x) -1/2) 2) (pow (/ (* y y) x) -1/2) (/ (sqrt x) y) (neg y) (sqrt x)) |
| 2.0ms | y | @ | 0 | ((/ -1 (* (* (/ -1 x) y) y)) (* (/ -1 x) y) (- (/ -1 (* (* (/ -1 x) y) y)) 3) (* (* (/ -1 x) y) y) (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/ (/ x y) y) (/ x y) (* (/ (neg x) y) (/ -1 y)) (- (/ x (* y y)) 3) (/ (neg x) y) (neg x) (/ (/ -1 y) (/ (neg y) x)) (- (/ x (* y y)) 3) (/ -1 y) (/ (neg y) x) (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (pow (pow (/ (* y y) x) -1/2) 2) (pow (/ (* y y) x) -1/2) (/ (sqrt x) y) (neg y) (sqrt x)) |
| 2.0ms | y | @ | -inf | ((/ -1 (* (* (/ -1 x) y) y)) (* (/ -1 x) y) (- (/ -1 (* (* (/ -1 x) y) y)) 3) (* (* (/ -1 x) y) y) (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/ (/ x y) y) (/ x y) (* (/ (neg x) y) (/ -1 y)) (- (/ x (* y y)) 3) (/ (neg x) y) (neg x) (/ (/ -1 y) (/ (neg y) x)) (- (/ x (* y y)) 3) (/ -1 y) (/ (neg y) x) (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (pow (pow (/ (* y y) x) -1/2) 2) (pow (/ (* y y) x) -1/2) (/ (sqrt x) y) (neg y) (sqrt x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 2284 |
| 1 | 117 | 2188 |
| 2 | 326 | 2188 |
| 3 | 874 | 2188 |
| 4 | 2964 | 2188 |
| 5 | 4346 | 2188 |
| 6 | 5393 | 2188 |
| 7 | 5947 | 2188 |
| 8 | 6930 | 2188 |
| 9 | 7488 | 2188 |
| 10 | 7771 | 2188 |
| 0 | 8190 | 2173 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(/ x (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ (+ x (* -3 (pow y 2))) (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (* (sqrt x) (/ 1 y))) |
(* -1 (* (sqrt x) (/ 1 y))) |
(* -1 (* (sqrt x) (/ 1 y))) |
(* -1 (* (sqrt x) (/ 1 y))) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
-3 |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(- (/ x (pow y 2)) 3) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(/ x (pow y 2)) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(* (sqrt x) (/ 1 y)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (pow y 2) x)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2))))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y y) x) y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (sqrt.f64 x) (neg.f64 y)) |
(/.f64 (sqrt.f64 x) (neg.f64 y)) |
(/.f64 (sqrt.f64 x) (neg.f64 y)) |
(/.f64 (sqrt.f64 x) (neg.f64 y)) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
#s(literal -3 binary64) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 y x)) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 y) x) |
(/.f64 (/.f64 x y) y) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (/.f64 x y) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 168 |
| 0 | 53 | 163 |
| 1 | 212 | 142 |
| 2 | 1576 | 133 |
| 0 | 8454 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) y) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y) |
#s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y)) |
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (neg.f64 y) x) |
(-.f64 (pow.f64 #s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(pow.f64 #s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) |
#s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) |
(/.f64 (sqrt.f64 x) y) |
(neg.f64 y) |
(sqrt.f64 x) |
| Outputs |
|---|
#<batchref> |
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Compiled 25 478 to 2 037 computations (92% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 221 | 2 | 1 223 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 223 | 12 | 1 235 |
| Status | Accuracy | Program |
|---|---|---|
| 92.6% | (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 y)) x #s(literal -3 binary64)) | |
| ✓ | 92.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
| ✓ | 93.0% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 78.7% | (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) x)) #s(literal 3 binary64)) | |
| ✓ | 99.8% | (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) #s(literal 3 binary64)) |
| ✓ | 48.0% | #s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) |
| 21.7% | #s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))) | |
| ✓ | 47.9% | #s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))) |
| ✓ | 41.1% | #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
| 47.9% | #s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))) | |
| ✓ | 48.0% | #s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) |
| ✓ | 53.4% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 431 to 211 computations (51% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
#s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))) |
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))) |
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 y)) x #s(literal -3 binary64)) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) #s(literal 3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) y)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)) x)) #s(literal 3 binary64)) |
#s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 x y)) (*.f64 x x)) y)) #s(literal 3 binary64)) |
(fma.f64 (pow.f64 y #s(literal -2 binary64)) x #s(literal -3 binary64)) |
(-.f64 (pow.f64 #s(approx (pow (/ (* y y) x) -1/2) (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(-.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) #s(literal 3 binary64)) |
(-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(fma.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
5 calls:
| 12.0ms | y |
| 11.0ms | (*.f64 y y) |
| 7.0ms | x |
| 6.0ms | (/.f64 x (*.f64 y y)) |
| 6.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 99.9% | 1 | (/.f64 x (*.f64 y y)) |
| 99.9% | 1 | (*.f64 y y) |
Compiled 17 to 17 computations (0% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
#s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
5 calls:
| 6.0ms | (/.f64 x (*.f64 y y)) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 y y) |
| 2.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.0% | 1 | x |
| 99.9% | 2 | y |
| 99.9% | 3 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 99.9% | 3 | (/.f64 x (*.f64 y y)) |
| 99.9% | 2 | (*.f64 y y) |
Compiled 17 to 17 computations (0% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
5 calls:
| 5.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 y y) |
| 2.0ms | (/.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.0% | 1 | x |
| 93.0% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 93.0% | 1 | (/.f64 x (*.f64 y y)) |
| 93.0% | 1 | y |
| 93.0% | 1 | (*.f64 y y) |
Compiled 17 to 17 computations (0% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
| Outputs |
|---|
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
5 calls:
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 2 | y |
| 91.3% | 3 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 91.3% | 3 | (/.f64 x (*.f64 y y)) |
| 64.0% | 3 | x |
| 84.2% | 2 | (*.f64 y y) |
Compiled 17 to 17 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| Outputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
5 calls:
| 5.0ms | (*.f64 y y) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.4% | 1 | x |
| 53.4% | 1 | y |
| 53.4% | 1 | (*.f64 y y) |
| 53.4% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 53.4% | 1 | (/.f64 x (*.f64 y y)) |
Compiled 17 to 17 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.803726e-318 | 5.514428967952531e-307 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.0607100290051376e-8 | 2041.3177804938848 |
| 13.0ms | -3.8886479032747554e+24 | -0.0013570280026655014 |
| 11.0ms | 336× | 0 | valid |
Compiled 388 to 368 computations (5.2% saved)
ival-sub: 2.0ms (83.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 104 |
| 1 | 32 | 104 |
| 2 | 38 | 104 |
| 3 | 40 | 104 |
| 4 | 41 | 104 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(if (<=.f64 (*.f64 y y) #s(literal 1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))))) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(if (<=.f64 (*.f64 y y) #s(literal 1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (pow (/ (* y y) x) -1/2) 2) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))))) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 38 | 15 |
| 2 | 288 | 15 |
| 3 | 3249 | 15 |
| 0 | 8174 | 14 |
| 0 | 21 | 372 |
| 1 | 43 | 372 |
| 2 | 103 | 372 |
| 3 | 250 | 372 |
| 4 | 478 | 372 |
| 5 | 788 | 372 |
| 6 | 1182 | 372 |
| 7 | 1868 | 300 |
| 8 | 2714 | 300 |
| 9 | 3373 | 300 |
| 10 | 3861 | 300 |
| 11 | 4121 | 300 |
| 12 | 4302 | 300 |
| 13 | 4791 | 300 |
| 14 | 5580 | 300 |
| 15 | 6242 | 300 |
| 16 | 7451 | 300 |
| 0 | 8065 | 300 |
| 0 | 42 | 1612 |
| 1 | 99 | 1564 |
| 2 | 296 | 1564 |
| 3 | 685 | 1564 |
| 4 | 2002 | 1564 |
| 5 | 4505 | 1564 |
| 6 | 6273 | 1564 |
| 7 | 6949 | 1564 |
| 8 | 7255 | 1564 |
| 9 | 7332 | 1564 |
| 10 | 7379 | 1564 |
| 0 | 8011 | 1549 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 148 to 65 computations (56.1% saved)
(abs y)
Compiled 264 to 108 computations (59.1% saved)
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