
Time bar (total: 5.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 519.0ms | 8 256× | 0 | valid |
ival-mult: 204.0ms (79.5% of total)ival-add: 38.0ms (14.8% of total)ival-true: 6.0ms (2.3% of total)exact: 5.0ms (1.9% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 17 | 0 | - | 0 | - | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) | n*o | 17 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 17 | 0 |
| - | 0 | 239 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 17 | 0 | 0 |
| - | 0 | 0 | 239 |
| number | freq |
|---|---|
| 0 | 239 |
| 1 | 17 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 24.0ms | 512× | 0 | valid |
Compiled 101 to 46 computations (54.5% saved)
ival-mult: 7.0ms (65.8% of total)ival-add: 2.0ms (18.8% 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 | 37 |
| 1 | 65 | 37 |
| 2 | 194 | 35 |
| 3 | 463 | 35 |
| 4 | 639 | 35 |
| 5 | 762 | 35 |
| 6 | 789 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 19 | 7 |
| 2 | 27 | 7 |
| 3 | 49 | 7 |
| 4 | 49 | 7 |
| 0 | 49 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(abs y)
(negabs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
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 #s(literal 1 binary64) (*.f64 y y))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 19 | 18 |
| 2 | 27 | 18 |
| 3 | 49 | 18 |
| 4 | 49 | 18 |
| 0 | 49 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 y y)) |
(fma.f64 y y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.00390625 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 3.991998467683647 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 11.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-mult: 3.0ms (60.7% of total)ival-add: 1.0ms (20.2% 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 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y)) |
| 1.0ms | y | @ | inf | ((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y)) |
| 1.0ms | x | @ | 0 | ((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y)) |
| 1.0ms | y | @ | 0 | ((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y)) |
| 1.0ms | x | @ | -inf | ((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 246 |
| 1 | 42 | 246 |
| 2 | 74 | 246 |
| 3 | 214 | 246 |
| 4 | 721 | 246 |
| 5 | 1940 | 246 |
| 6 | 2658 | 246 |
| 7 | 3752 | 246 |
| 8 | 5094 | 246 |
| 9 | 5986 | 246 |
| 10 | 6927 | 246 |
| 11 | 7270 | 246 |
| 12 | 7376 | 246 |
| 13 | 7453 | 246 |
| 14 | 7522 | 246 |
| 15 | 7669 | 246 |
| 0 | 8207 | 216 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
x |
(+ x (* x (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(+ x (* x (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(+ x (* x (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
(* x (+ 1 (pow y 2))) |
(*.f64 x (fma.f64 y y #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 34 | 15 |
| 2 | 209 | 15 |
| 3 | 1404 | 15 |
| 0 | 8269 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 y y) |
| Outputs |
|---|
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Compiled 9 642 to 1 119 computations (88.4% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 409 | 6 | 415 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 410 | 6 | 416 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| ▶ | 65.2% | (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) |
| ▶ | 93.7% | (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
| 93.6% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x)) | |
| ▶ | 45.5% | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
| ▶ | 52.2% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
Compiled 92 to 78 computations (15.2% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal 4 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 6848 | (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (+ 1 (* y y)) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (fma.f64 (*.f64 x y) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 112 |
| 0 | 36 | 106 |
| 1 | 56 | 106 |
| 2 | 81 | 106 |
| 3 | 144 | 106 |
| 4 | 238 | 106 |
| 5 | 519 | 106 |
| 6 | 1105 | 106 |
| 7 | 1949 | 106 |
| 8 | 3939 | 106 |
| 9 | 5645 | 106 |
| 10 | 6965 | 106 |
| 11 | 7649 | 106 |
| 0 | 8022 | 106 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(*.f64 x y) |
x |
y |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
x |
#s(approx (+ 1 (* y y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
x |
#s(approx (+ 1 (* y y)) (*.f64 y y)) |
(*.f64 y y) |
y |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
x |
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
x |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x) |
x |
#s(approx (+ 1 (* y y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
(*.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) x) |
x |
#s(approx (+ 1 (* y y)) (*.f64 y y)) |
(*.f64 y y) |
y |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
x |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 y #s(literal 4 binary64)) | |
| accuracy | 0.00390625 | (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) | |
| accuracy | 1.9000214078049262 | (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) | |
| accuracy | 17.428525536749724 | (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) | |
| accuracy | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| accuracy | 0.32838080731346087 | (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| accuracy | 3.8024152763568213 | (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 3.991998467683647 | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) | |
| accuracy | 31.192085795561734 | #s(approx (+ 1 (* y y)) (*.f64 y y)) | |
| accuracy | 3.991998467683647 | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) | |
| accuracy | 30.85116426341651 | #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 x y) y x) |
| 35.0ms | 256× | 0 | valid |
Compiled 200 to 41 computations (79.5% saved)
ival-mult: 8.0ms (36.5% of total)ival-pow: 5.0ms (22.8% of total)ival-add: 4.0ms (18.2% of total)ival-div: 3.0ms (13.7% of total)ival-sub: 1.0ms (4.6% 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 (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (* y y)) (*.f64 y y)) (patch #s(approx (+ 1 (* y y)) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) (patch (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4)) |
| 3.0ms | x | @ | -inf | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4)) |
| 3.0ms | y | @ | inf | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4)) |
| 2.0ms | x | @ | 0 | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4)) |
| 2.0ms | y | @ | -inf | ((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 1542 |
| 1 | 142 | 1519 |
| 2 | 330 | 1515 |
| 3 | 954 | 1511 |
| 4 | 3817 | 1511 |
| 5 | 7851 | 1511 |
| 0 | 8255 | 1378 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(* -1 x) |
(+ (* -1 x) (* x (pow y 4))) |
(+ (* -1 x) (* x (pow y 4))) |
(+ (* -1 x) (* x (pow y 4))) |
-1 |
(- (pow y 4) 1) |
(- (pow y 4) 1) |
(- (pow y 4) 1) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ 1 (pow y 2)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x (pow y 4)) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(pow y 4) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ 1 (pow y 2)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x (pow y 4)) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(pow y 4) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(pow y 4) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
(* x (- (pow y 4) 1)) |
| Outputs |
|---|
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* x (pow y 4))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(+ (* -1 x) (* x (pow y 4))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(+ (* -1 x) (* x (pow y 4))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (pow y 4) 1) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (pow y 4) 1) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(- (pow y 4) 1) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 y y)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) y) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 y y)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)) y) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (- 1 (/ 1 (pow y 4)))) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(* x (- (pow y 4) 1)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 93 |
| 0 | 36 | 81 |
| 1 | 141 | 81 |
| 2 | 857 | 81 |
| 0 | 8423 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(*.f64 x y) |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
#s(approx (+ 1 (* y y)) #s(literal 1 binary64)) |
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
#s(approx (+ 1 (* y y)) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 y y #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) |
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 4 binary64)) |
| Outputs |
|---|
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Compiled 38 486 to 3 221 computations (91.6% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 887 | 5 | 1 892 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 890 | 8 | 1 898 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| ▶ | 88.6% | (/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y)) |
| ▶ | 45.4% | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
| ▶ | 99.8% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) |
| ▶ | 93.6% | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)) |
| ▶ | 99.4% | (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
| ✓ | 45.5% | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
| ✓ | 52.2% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
Compiled 142 to 94 computations (33.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 y x) y x) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) | |
| cost-diff | 0 | (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) | |
| cost-diff | 26880 | (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) | |
| cost-diff | 1792 | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 128 | (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 1280 | (/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| cost-diff | 0 | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) y x) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 194 |
| 0 | 44 | 163 |
| 1 | 74 | 163 |
| 2 | 157 | 163 |
| 3 | 380 | 163 |
| 4 | 1425 | 163 |
| 5 | 6126 | 163 |
| 0 | 8366 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 y x) |
y |
x |
#s(literal -1 binary64) |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
x |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) |
x |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)) |
#s(literal -1 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 y x) |
y |
x |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(literal -1 binary64) |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
x |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 x y x) (fma.f64 y y #s(literal 1 binary64))) |
x |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
#s(literal -1 binary64) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.07421875 | (fma.f64 (*.f64 y x) y x) | |
| accuracy | 0.3193550293053261 | (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) | |
| accuracy | 0.4022883639669849 | (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) | |
| accuracy | 10.836195455012422 | (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| accuracy | 0.125 | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)) | |
| accuracy | 0.32838080731346087 | (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) | |
| accuracy | 3.8777021319347877 | (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 1.8880851388814603 | (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 5.347588148115212 | (/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.38306830731346087 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 3.8024152763568213 | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) | |
| accuracy | 31.182233672581788 | #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 y x) y x) | |
| accuracy | 0.125 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) | |
| accuracy | 0.4022883639669849 | (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) |
| 75.0ms | 256× | 0 | valid |
Compiled 384 to 49 computations (87.2% saved)
ival-div: 11.0ms (29.7% of total)ival-mult: 11.0ms (29.7% of total)ival-pow: 10.0ms (27% of total)ival-add: 5.0ms (13.5% 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 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (patch #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)) (patch (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow y 2) x)) (/ 1 x)) (taylor 0 y) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y x) (patch (fma.f64 (*.f64 y x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (patch (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (sqrt (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ 1 (pow (+ (* (* y x) y) x) -1)) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (* y x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* y y) 1) (/ -1 (/ (/ -1 (+ (* y y) 1)) x)) (/ (/ -1 (+ (* y y) 1)) x) (/ -1 (+ (* y y) 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (+ 1 y)) |
| 3.0ms | x | @ | inf | ((/ 1 (pow (+ (* (* y x) y) x) -1)) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (* y x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* y y) 1) (/ -1 (/ (/ -1 (+ (* y y) 1)) x)) (/ (/ -1 (+ (* y y) 1)) x) (/ -1 (+ (* y y) 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (+ 1 y)) |
| 2.0ms | x | @ | 0 | ((/ 1 (pow (+ (* (* y x) y) x) -1)) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (* y x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* y y) 1) (/ -1 (/ (/ -1 (+ (* y y) 1)) x)) (/ (/ -1 (+ (* y y) 1)) x) (/ -1 (+ (* y y) 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (+ 1 y)) |
| 2.0ms | y | @ | 0 | ((/ 1 (pow (+ (* (* y x) y) x) -1)) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (* y x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* y y) 1) (/ -1 (/ (/ -1 (+ (* y y) 1)) x)) (/ (/ -1 (+ (* y y) 1)) x) (/ -1 (+ (* y y) 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (+ 1 y)) |
| 2.0ms | y | @ | inf | ((/ 1 (pow (+ (* (* y x) y) x) -1)) (pow (+ (* (* y x) y) x) -1) (+ (* (* y x) y) x) (* y x) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* y y) 1) (/ -1 (/ (/ -1 (+ (* y y) 1)) x)) (/ (/ -1 (+ (* y y) 1)) x) (/ -1 (+ (* y y) 1)) (* (pow (pow (+ (* (* y x) y) x) -1) -1/2) (pow (pow (+ (* (* y x) y) x) -1) -1/2)) (pow (pow (+ (* (* y x) y) x) -1) -1/2) (+ 1 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 2862 |
| 1 | 615 | 2824 |
| 2 | 2010 | 2719 |
| 3 | 6363 | 2715 |
| 0 | 8594 | 2479 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(/ 1 x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
x |
(+ x (* x y)) |
(+ x (* y (+ x (* x y)))) |
(+ x (* y (+ x (* y (+ x (* x y)))))) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 y))) |
(+ 1 (* y (+ 1 (* y (+ 1 y))))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(/ -1 x) |
(- (/ (pow y 2) x) (/ 1 x)) |
(- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
-1 |
(- (pow y 2) 1) |
(- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1) |
(- (* (pow y 2) (+ 1 (* (pow y 2) (- (pow y 2) 1)))) 1) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(sqrt x) |
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2)))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x))))) |
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2)))))))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ 1 (* x (pow y 2))) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ 1 (pow y 2)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x (pow y 3)) |
(* (pow y 3) (+ x (/ x y))) |
(* (pow y 3) (+ x (+ (/ x y) (/ x (pow y 2))))) |
(* (pow y 3) (+ x (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))))) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ 1 y))) |
(* (pow y 3) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ -1 (* x (pow y 2))) |
(/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) (pow y 2)) |
(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2)) |
(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6)))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2)) |
(/ -1 (pow y 2)) |
(/ (- (/ 1 (pow y 2)) 1) (pow y 2)) |
(/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 4)))) (pow y 2)) |
(/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow y 6))) (+ 1 (/ 1 (pow y 4)))) (pow y 2)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))) |
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))) |
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ 1 (* x (pow y 2))) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ 1 (pow y 2)) |
(/ (- 1 (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(/ 1 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x (pow y 3)) |
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))))) |
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))))) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ 1 y))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ -1 (* x (pow y 2))) |
(/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) (pow y 2)) |
(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2)) |
(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6)))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2)) |
(/ -1 (pow y 2)) |
(/ (- (/ 1 (pow y 2)) 1) (pow y 2)) |
(/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 4)))) (pow y 2)) |
(/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow y 6))) (+ 1 (/ 1 (pow y 4)))) (pow y 2)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* -1 (* (sqrt x) y)) |
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))) |
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))) |
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
| Outputs |
|---|
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(fma.f64 (/.f64 (neg.f64 y) x) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (*.f64 y y) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ 1 (* (pow y 2) (- (pow y 2) 1))) |
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1))) |
(fma.f64 (fma.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) y #s(literal -1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (+ x (* x y)))) |
(fma.f64 (fma.f64 y x x) y x) |
(+ x (* y (+ x (* y (+ x (* x y)))))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (+ 1 y))) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 (* y (+ 1 y))))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
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(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* (sqrt x) y)) |
(*.f64 (neg.f64 y) (sqrt.f64 x)) |
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))) |
(*.f64 (neg.f64 y) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))) |
(*.f64 (neg.f64 y) (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (sqrt.f64 x))) |
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))) |
(*.f64 (neg.f64 y) (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))))) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(/ -1 (* x (+ 1 (pow y 2)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 155 |
| 0 | 44 | 122 |
| 1 | 179 | 115 |
| 2 | 1106 | 115 |
| 0 | 8746 | 114 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 y x) |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y y #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
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Compiled 85 370 to 6 282 computations (92.6% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 572 | 7 | 3 579 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 3 576 | 11 | 3 587 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| ▶ | 93.6% | (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) |
| ▶ | 41.2% | (/.f64 (*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (+.f64 #s(literal 1 binary64) y)) |
| ✓ | 45.4% | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) y x)) (+.f64 y #s(literal 1 binary64)))) | |
| ▶ | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x))) |
| ▶ | 99.9% | (*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
| 52.0% | (*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (pow (+ (* (* y x) y) x) -1) -1/2) (*.f64 (sqrt.f64 x) y))) | |
| ▶ | 99.5% | (*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x))) |
| ✓ | 45.5% | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
| ✓ | 52.2% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
Compiled 216 to 139 computations (35.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (fma.f64 (*.f64 x y) y x) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 x y) y x)) | |
| cost-diff | 2304 | (*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (fma.f64 (*.f64 x y) y x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x)) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 y y y) y y) | |
| cost-diff | 0 | #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) (*.f64 y y)) | |
| cost-diff | 1216 | (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (fma.f64 (*.f64 x y) y x) | |
| cost-diff | 320 | (*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) | |
| cost-diff | 7168 | (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 207 |
| 0 | 49 | 197 |
| 1 | 92 | 173 |
| 2 | 205 | 173 |
| 3 | 523 | 173 |
| 4 | 2650 | 173 |
| 5 | 6403 | 173 |
| 0 | 8242 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x y) y x) |
(*.f64 x y) |
x |
y |
(*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) (*.f64 y y)) |
#s(literal -1 binary64) |
(*.f64 y y) |
y |
(/.f64 #s(literal -1 binary64) x) |
x |
(/.f64 (*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) |
x |
#s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y)) |
(fma.f64 (fma.f64 y y y) y y) |
(fma.f64 y y y) |
y |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x)) |
(fma.f64 (*.f64 x y) y x) |
(*.f64 x y) |
x |
y |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x))) |
(sqrt.f64 (fma.f64 (*.f64 x y) y x)) |
(fma.f64 (*.f64 x y) y x) |
(*.f64 x y) |
x |
y |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y x) y x) |
(fma.f64 (*.f64 x y) y x) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (*.f64 y x) y x) |
(-.f64 #s(literal -1 binary64) (*.f64 y y)) |
#s(literal -1 binary64) |
(*.f64 y y) |
y |
(/.f64 #s(literal -1 binary64) x) |
x |
(/.f64 (*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) |
(*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) |
(*.f64 #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y)) x) |
x |
#s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y)) |
(fma.f64 (fma.f64 y y y) y y) |
(fma.f64 y y y) |
y |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 y #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x))) |
(fma.f64 (*.f64 y x) y x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y x)) |
(fma.f64 (*.f64 x y) y x) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x))) |
(fma.f64 (*.f64 y x) y x) |
(sqrt.f64 (fma.f64 (*.f64 x y) y x)) |
(sqrt.f64 (fma.f64 (*.f64 y x) y x)) |
(fma.f64 (*.f64 x y) y x) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 x y) y x) | |
| accuracy | 0.3193550293053261 | (*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x))) | |
| accuracy | 11.26062781597605 | (sqrt.f64 (fma.f64 (*.f64 x y) y x)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 x y) y x) | |
| accuracy | 0.125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x))) | |
| accuracy | 0.4022883639669849 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x)) | |
| accuracy | 0.05078125 | (fma.f64 (fma.f64 y y y) y y) | |
| accuracy | 1.8880851388814603 | (*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) | |
| accuracy | 5.347588148115212 | (/.f64 (*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 30.5714409978717 | #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.00390625 | (-.f64 #s(literal -1 binary64) (*.f64 y y)) | |
| accuracy | 4.081842217683647 | (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.00390625 | (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) | |
| accuracy | 0.0625 | (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 x y) y x) |
| 60.0ms | 256× | 0 | valid |
Compiled 377 to 53 computations (85.9% saved)
ival-mult: 14.0ms (31.4% of total)ival-add: 12.0ms (26.9% of total)ival-div: 8.0ms (17.9% of total)ival-pow: 6.0ms (13.5% of total)ival-sub: 2.0ms (4.5% of total)ival-sqrt: 2.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1 binary64) (*.f64 y y)) (patch (-.f64 #s(literal -1 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (patch (*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y)) (patch #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 y y y) y y) (patch (fma.f64 (fma.f64 y y y) y y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x))) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (patch (sqrt.f64 (fma.f64 (*.f64 x y) y x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x y) y x) (patch (fma.f64 (*.f64 x y) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) (*.f64 y y)) (patch (-.f64 #s(literal -1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (pow y 2)) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) (*.f64 y y)) (patch (-.f64 #s(literal -1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (pow y 2)) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) (*.f64 y y)) (patch (-.f64 #s(literal -1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (pow y 2)) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) (*.f64 y y)) (patch (-.f64 #s(literal -1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x))) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x))) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x))) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (patch (sqrt.f64 (fma.f64 (*.f64 x y) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (patch (sqrt.f64 (fma.f64 (*.f64 x y) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (patch (sqrt.f64 (fma.f64 (*.f64 x y) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (patch (sqrt.f64 (fma.f64 (*.f64 x y) y x)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x | @ | inf | ((* (- -1 y) (pow (- -1 y) -1)) (* (+ (* (* x y) y) x) (* (- -1 y) (pow (- -1 y) -1))) (+ (* (* x y) y) x) (* x y) (/ (- -1 (* y y)) (/ -1 x)) (- -1 (* y y)) (* y y) (/ -1 x) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* (+ (* y y) y) y) y) (/ 1 (/ 1 (+ (* (* x y) y) x))) (/ 1 (+ (* (* x y) y) x)) (* (sqrt (+ (* (* x y) y) x)) (sqrt (+ (* (* x y) y) x))) (sqrt (+ (* (* x y) y) x)) (pow (- -1 y) -1)) |
| 15.0ms | x | @ | -inf | ((* (- -1 y) (pow (- -1 y) -1)) (* (+ (* (* x y) y) x) (* (- -1 y) (pow (- -1 y) -1))) (+ (* (* x y) y) x) (* x y) (/ (- -1 (* y y)) (/ -1 x)) (- -1 (* y y)) (* y y) (/ -1 x) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* (+ (* y y) y) y) y) (/ 1 (/ 1 (+ (* (* x y) y) x))) (/ 1 (+ (* (* x y) y) x)) (* (sqrt (+ (* (* x y) y) x)) (sqrt (+ (* (* x y) y) x))) (sqrt (+ (* (* x y) y) x)) (pow (- -1 y) -1)) |
| 4.0ms | y | @ | 0 | ((* (- -1 y) (pow (- -1 y) -1)) (* (+ (* (* x y) y) x) (* (- -1 y) (pow (- -1 y) -1))) (+ (* (* x y) y) x) (* x y) (/ (- -1 (* y y)) (/ -1 x)) (- -1 (* y y)) (* y y) (/ -1 x) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* (+ (* y y) y) y) y) (/ 1 (/ 1 (+ (* (* x y) y) x))) (/ 1 (+ (* (* x y) y) x)) (* (sqrt (+ (* (* x y) y) x)) (sqrt (+ (* (* x y) y) x))) (sqrt (+ (* (* x y) y) x)) (pow (- -1 y) -1)) |
| 1.0ms | x | @ | 0 | ((* (- -1 y) (pow (- -1 y) -1)) (* (+ (* (* x y) y) x) (* (- -1 y) (pow (- -1 y) -1))) (+ (* (* x y) y) x) (* x y) (/ (- -1 (* y y)) (/ -1 x)) (- -1 (* y y)) (* y y) (/ -1 x) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* (+ (* y y) y) y) y) (/ 1 (/ 1 (+ (* (* x y) y) x))) (/ 1 (+ (* (* x y) y) x)) (* (sqrt (+ (* (* x y) y) x)) (sqrt (+ (* (* x y) y) x))) (sqrt (+ (* (* x y) y) x)) (pow (- -1 y) -1)) |
| 1.0ms | y | @ | inf | ((* (- -1 y) (pow (- -1 y) -1)) (* (+ (* (* x y) y) x) (* (- -1 y) (pow (- -1 y) -1))) (+ (* (* x y) y) x) (* x y) (/ (- -1 (* y y)) (/ -1 x)) (- -1 (* y y)) (* y y) (/ -1 x) (/ (* x (* (+ (* y y) 1) (+ 1 y))) (+ 1 y)) (* x (* (+ (* y y) 1) (+ 1 y))) (* (+ (* y y) 1) (+ 1 y)) (+ (* (+ (* y y) y) y) y) (/ 1 (/ 1 (+ (* (* x y) y) x))) (/ 1 (+ (* (* x y) y) x)) (* (sqrt (+ (* (* x y) y) x)) (sqrt (+ (* (* x y) y) x))) (sqrt (+ (* (* x y) y) x)) (pow (- -1 y) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 2418 |
| 1 | 585 | 2376 |
| 2 | 1882 | 2283 |
| 3 | 5186 | 2264 |
| 0 | 8264 | 2035 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
1 |
1 |
1 |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
-1 |
(- (* -1 (pow y 2)) 1) |
(- (* -1 (pow y 2)) 1) |
(- (* -1 (pow y 2)) 1) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
x |
(+ x (* x y)) |
(+ x (* y (+ x (* x y)))) |
(+ x (* y (+ x (* y (+ x (* x y)))))) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 y))) |
(+ 1 (* y (+ 1 (* y (+ 1 y))))) |
y |
(* y (+ 1 y)) |
(* y (+ 1 (* y (+ 1 y)))) |
(* y (+ 1 (* y (+ 1 y)))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(/ 1 x) |
(+ (* -1 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
x |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(+ x (* x (pow y 2))) |
(sqrt x) |
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2)))) |
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x))))) |
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2)))))))) |
-1 |
(- y 1) |
(- (* y (+ 1 (* -1 y))) 1) |
(- (* y (+ 1 (* y (- y 1)))) 1) |
1 |
1 |
1 |
1 |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x (pow y 3)) |
(* (pow y 3) (+ x (/ x y))) |
(* (pow y 3) (+ x (+ (/ x y) (/ x (pow y 2))))) |
(* (pow y 3) (+ x (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))))) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ 1 y))) |
(* (pow y 3) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ 1 y))) |
(* (pow y 3) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ 1 (* x (pow y 2))) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))) |
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))) |
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))) |
(/ -1 y) |
(/ (- (/ 1 y) 1) y) |
(/ (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))) y) |
(/ (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))) y) |
1 |
1 |
1 |
1 |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* x (pow y 3)) |
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))))) |
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))))) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ 1 y))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1))) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ 1 y))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(/ 1 (* x (pow y 2))) |
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) |
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* -1 (* (sqrt x) y)) |
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))) |
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))) |
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))) |
(/ -1 y) |
(* -1 (/ (- 1 (/ 1 y)) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) y)) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt (* x (+ 1 (pow y 2)))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (pow y 2)) 1) |
(-.f64 #s(literal -1 binary64) (*.f64 y y)) |
(- (* -1 (pow y 2)) 1) |
(-.f64 #s(literal -1 binary64) (*.f64 y y)) |
(- (* -1 (pow y 2)) 1) |
(-.f64 #s(literal -1 binary64) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (+ x (* x y)))) |
(fma.f64 (fma.f64 y x x) y x) |
(+ x (* y (+ x (* y (+ x (* x y)))))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 y))) |
(fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 (* y (+ 1 y))))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) |
y |
(* y (+ 1 y)) |
(fma.f64 y y y) |
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(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ 1 (* x (+ 1 (pow y 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(sqrt (* x (+ 1 (pow y 2)))) |
(sqrt.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
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(*.f64 y x) |
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(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* x (* (+ 1 y) (+ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(/ -1 (* x (- (* -1 (pow y 2)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x))) |
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 165 |
| 0 | 49 | 142 |
| 1 | 209 | 133 |
| 2 | 1625 | 132 |
| 0 | 8637 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x y) y x) |
(*.f64 x y) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) |
#s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y)) |
(fma.f64 (fma.f64 y y y) y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x))) |
(sqrt.f64 (fma.f64 (*.f64 x y) y x)) |
(pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
| Outputs |
|---|
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Compiled 41 859 to 2 780 computations (93.4% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 949 | 5 | 1 954 |
| Fresh | 1 | 1 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 953 | 12 | 1 965 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 x y) y x) |
| 99.8% | (/.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) | |
| ✓ | 41.2% | (/.f64 (*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (+.f64 #s(literal 1 binary64) y)) |
| 45.4% | (/.f64 #s(approx (- -1 (* y y)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) x)) | |
| ✓ | 45.4% | (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) y x)) (+.f64 y #s(literal 1 binary64)))) | |
| 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) y x))) | |
| ✓ | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x))) |
| 51.3% | (*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) #s(approx (pow (- -1 y) -1) (/.f64 #s(literal -1 binary64) y)))) | |
| 52.1% | (*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) #s(approx (sqrt (+ (* (* x y) y) x)) (*.f64 (sqrt.f64 x) y))) | |
| ✓ | 45.5% | (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
| ✓ | 52.2% | (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
Compiled 408 to 173 computations (57.6% saved)
| Inputs |
|---|
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
(fma.f64 (*.f64 x y) y x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 #s(approx (- -1 (* y y)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 x #s(approx (* (+ (* y y) 1) (+ 1 y)) (fma.f64 (fma.f64 y y y) y y))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x))) |
(/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) #s(approx (pow (- -1 y) -1) (/.f64 #s(literal -1 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) #s(approx (sqrt (+ (* (* x y) y) x)) (*.f64 (sqrt.f64 x) y))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) y x)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) y x))) |
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 x y) y x) (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (pow (+ (* (* y x) y) x) -1) -1/2) (*.f64 (sqrt.f64 x) y))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 x y) y x) |
5 calls:
| 9.0ms | y |
| 8.0ms | (*.f64 y y) |
| 7.0ms | x |
| 6.0ms | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 6.0ms | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 99.9% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 99.9% | 1 | (*.f64 y y) |
Compiled 17 to 18 computations (-5.9% saved)
| Inputs |
|---|
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
| Outputs |
|---|
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) |
5 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 1.0ms | y |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 5 | x |
| 92.7% | 2 | y |
| 77.7% | 2 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 92.7% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 92.7% | 2 | (*.f64 y y) |
Compiled 17 to 18 computations (-5.9% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
5 calls:
| 3.0ms | (*.f64 y y) |
| 1.0ms | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 1 | x |
| 52.2% | 1 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
| 52.2% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 y y)) |
| 52.2% | 1 | (*.f64 y y) |
| 52.2% | 1 | y |
Compiled 17 to 18 computations (-5.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.6054304413452645 | 19.284957673673215 |
| 4.0ms | 112× | 0 | valid |
Compiled 80 to 95 computations (-18.8% saved)
ival-add: 1.0ms (45.2% of total)ival-mult: 1.0ms (45.2% 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 | 14 | 39 |
| 1 | 20 | 39 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))) |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 x y) y x) |
(fma.f64 (*.f64 y x) y x) |
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))) |
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) x)) |
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 246 |
| 1 | 42 | 246 |
| 2 | 74 | 246 |
| 3 | 214 | 246 |
| 4 | 721 | 246 |
| 5 | 1940 | 246 |
| 6 | 2658 | 246 |
| 7 | 3752 | 246 |
| 8 | 5094 | 246 |
| 9 | 5986 | 246 |
| 10 | 6927 | 246 |
| 11 | 7270 | 246 |
| 12 | 7376 | 246 |
| 13 | 7453 | 246 |
| 14 | 7522 | 246 |
| 15 | 7669 | 246 |
| 0 | 8207 | 216 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 34 | 15 |
| 2 | 209 | 15 |
| 3 | 1404 | 15 |
| 0 | 8269 | 13 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 48 to 32 computations (33.3% saved)
(negabs x)
(abs y)
Compiled 148 to 94 computations (36.5% saved)
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