
Time bar (total: 10.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 8 to 7 computations (12.5% saved)
| 381.0ms | 8 256× | 0 | valid |
ival-mult: 140.0ms (66.1% of total)ival-sqrt: 60.0ms (28.3% of total)ival-true: 5.0ms (2.4% of total)exact: 4.0ms (1.9% of total)ival-assert: 3.0ms (1.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 130 | 0 | - | 3 | (-3.8174545508696286e-157) | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) | oflow-rescue | 67 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) x) | overflow | 1 | |
| ↳ | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) | overflow | 1 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | overflow | 68 | |
sqrt.f64 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) | uflow-rescue | 60 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | underflow | 60 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 127 | 3 |
| - | 0 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 127 | 0 | 3 |
| - | 0 | 0 | 126 |
| number | freq |
|---|---|
| 0 | 129 |
| 1 | 127 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 22.0ms | 512× | 0 | valid |
Compiled 42 to 19 computations (54.8% saved)
ival-mult: 7.0ms (63.3% of total)ival-sqrt: 4.0ms (36.2% 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 |
| 30× | associate-*r* |
| 28× | distribute-rgt-neg-in |
| 28× | associate-*l* |
| 24× | distribute-lft-neg-in |
| 24× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 21 | 13 |
| 2 | 62 | 13 |
| 3 | 149 | 13 |
| 4 | 214 | 13 |
| 5 | 231 | 13 |
| 6 | 233 | 13 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 12 | 6 |
| 2 | 13 | 6 |
| 0 | 13 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Outputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x)) |
(abs x)
Compiled 6 to 5 computations (16.7% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.6% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 14× | lower-*.f32 |
| 10× | lower-*.f64 |
| 4× | *-commutative |
| 4× | lift-*.f64 |
| 2× | lift-sqrt.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 0 | 8 | 16 |
| 1 | 12 | 16 |
| 2 | 13 | 16 |
| 0 | 13 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
| Outputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 29.716556736835557 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 12.0ms | 256× | 0 | valid |
Compiled 18 to 7 computations (61.1% saved)
ival-mult: 5.0ms (74.4% of total)ival-sqrt: 2.0ms (29.7% 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 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation:binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x)) |
| 1.0ms | x | @ | inf | ((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x)) |
| 1.0ms | x | @ | -inf | ((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x)) |
| 1× | egg-herbie |
| 38× | lower-*.f64 |
| 38× | lower-fma.f64 |
| 38× | lower-fma.f32 |
| 38× | lower-*.f32 |
| 36× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 148 |
| 1 | 17 | 148 |
| 2 | 32 | 148 |
| 3 | 36 | 148 |
| 4 | 40 | 148 |
| 5 | 52 | 148 |
| 6 | 64 | 148 |
| 7 | 75 | 148 |
| 8 | 95 | 148 |
| 9 | 100 | 148 |
| 0 | 100 | 148 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* -1 (* x (sqrt 2))) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 (* x (sqrt 2))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (sqrt 2))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (sqrt 2))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (sqrt 2))) |
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
| 5 230× | lower-*.f32 |
| 5 226× | lower-*.f64 |
| 3 666× | lower-/.f64 |
| 3 666× | lower-/.f32 |
| 3 090× | lower-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 17 | 14 |
| 2 | 38 | 13 |
| 3 | 92 | 12 |
| 4 | 338 | 12 |
| 5 | 2074 | 12 |
| 0 | 8672 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 7/16 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 7/16 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 4 binary64)))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/16 binary64)) #s(literal 8 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64)))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(sqrt.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 4 binary64))) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1/8 binary64))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x)))) (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x))))) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64)))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 x (*.f64 x #s(literal 2 binary64))))))) |
(/.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 1/2 binary64)))))) |
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (exp.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) |
Compiled 1 927 to 352 computations (81.7% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 147 | 7 | 154 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 147 | 8 | 155 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| 69.2% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) | |
| 99.3% | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) | |
| ▶ | 99.4% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ▶ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ▶ | 53.5% | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ▶ | 53.4% | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
| ✓ | 53.6% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 124 to 101 computations (18.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3/4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) | |
| cost-diff | 1600 | (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| 92× | lower-*.f32 |
| 76× | lower-*.f64 |
| 36× | associate-*r* |
| 28× | associate-*l* |
| 26× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 113 |
| 0 | 36 | 113 |
| 1 | 50 | 105 |
| 2 | 70 | 105 |
| 3 | 90 | 105 |
| 4 | 95 | 105 |
| 5 | 97 | 105 |
| 0 | 97 | 105 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(sqrt.f64 x) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(sqrt.f64 x) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 3/2 binary64)) |
x |
#s(literal 3/2 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt.f64 x) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 3/4 binary64)) |
x |
#s(literal 3/4 binary64) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt.f64 x) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(sqrt.f64 x) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(sqrt.f64 x) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 x)) |
(pow.f64 x #s(literal 3/2 binary64)) |
x |
#s(literal 3/2 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt.f64 x) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(pow.f64 x #s(literal 3/4 binary64)) |
x |
#s(literal 3/4 binary64) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(sqrt.f64 x) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.13671875 | (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| accuracy | 0.3287887695368841 | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| accuracy | 0 | (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.1875 | (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) | |
| accuracy | 29.716556736835557 | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.1875 | (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) | |
| accuracy | 0.1875 | (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) | |
| accuracy | 29.716556736835557 | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) | |
| accuracy | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.453125 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.2382778558123041 | (sqrt.f64 (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.36556625976844204 | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| 56.0ms | 256× | 0 | valid |
Compiled 115 to 22 computations (80.9% saved)
ival-pow: 20.0ms (47.1% of total)ival-mult: 11.0ms (25.9% of total)ival-sqrt: 11.0ms (25.9% 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 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation:binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation:binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (patch (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) (patch (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (* (sqrt -1) (sqrt 2)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (* (sqrt -1) (sqrt 2)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (* (sqrt -1) (sqrt 2)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (* (sqrt -1) (sqrt 2)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/4 binary64)) (patch (pow.f64 x #s(literal 3/4 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 123.0ms | x | @ | -inf | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (sqrt (* (pow x 3/2) (* (sqrt x) 2))) (* (pow x 3/2) (* (sqrt x) 2)) (pow x 3/2) (* (sqrt x) 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2))) |
| 39.0ms | x | @ | 0 | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (sqrt (* (pow x 3/2) (* (sqrt x) 2))) (* (pow x 3/2) (* (sqrt x) 2)) (pow x 3/2) (* (sqrt x) 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2))) |
| 29.0ms | x | @ | inf | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (* (* x 2) (sqrt x)) (sqrt x)) (sqrt (* (* (* x 2) (sqrt x)) (sqrt x))) (* (* x 2) (sqrt x)) (sqrt (* (pow x 3/2) (* (sqrt x) 2))) (* (pow x 3/2) (* (sqrt x) 2)) (pow x 3/2) (* (sqrt x) 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2))) |
| 1× | egg-herbie |
| 4 052× | lower-fma.f64 |
| 4 052× | lower-fma.f32 |
| 3 110× | lower-*.f64 |
| 3 110× | lower-*.f32 |
| 1 282× | unsub-neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 940 |
| 1 | 141 | 908 |
| 2 | 417 | 900 |
| 3 | 976 | 900 |
| 4 | 1360 | 900 |
| 5 | 1897 | 900 |
| 6 | 2365 | 900 |
| 7 | 2816 | 900 |
| 8 | 3057 | 900 |
| 9 | 3220 | 900 |
| 10 | 3403 | 900 |
| 11 | 4506 | 900 |
| 12 | 5145 | 900 |
| 13 | 5468 | 900 |
| 14 | 5877 | 900 |
| 15 | 6570 | 900 |
| 16 | 6875 | 900 |
| 17 | 7206 | 900 |
| 18 | 7875 | 900 |
| 0 | 8063 | 900 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(pow (* 1 (pow x 3)) 1/4) |
(pow (* 1 (pow x 3)) 1/4) |
(pow (* 1 (pow x 3)) 1/4) |
(pow (* 1 (pow x 3)) 1/4) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* (sqrt x) (sqrt 2)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(sqrt (pow x 3)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* 2 (sqrt x)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(pow (* 1 (pow x 3)) 1/4) |
(pow (* 1 (pow x 3)) 1/4) |
(pow (* 1 (pow x 3)) 1/4) |
(pow (* 1 (pow x 3)) 1/4) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(* 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
| Outputs |
|---|
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt x) (sqrt 2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(sqrt (pow x 3)) |
(sqrt.f64 (pow.f64 x #s(literal 3 binary64))) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* 2 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(pow (* 1 (pow x 3)) 1/4) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 x) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x))) |
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* -2 (* (pow x 2) (pow (sqrt -1) 2))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* x (* (sqrt -1) (sqrt 2)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* 2 (* (pow x 2) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* (sqrt (pow x 3)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 45/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 45/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 45/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 45/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) |
| 4 418× | lower-fma.f64 |
| 4 418× | lower-fma.f32 |
| 2 210× | lower-*.f32 |
| 2 194× | lower-*.f64 |
| 1 370× | unpow-prod-down |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 88 |
| 0 | 36 | 86 |
| 1 | 77 | 62 |
| 2 | 202 | 61 |
| 3 | 771 | 58 |
| 4 | 6150 | 58 |
| 0 | 8176 | 58 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(sqrt.f64 x) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 3/2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 3/4 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 15/16 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) x) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/16 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) #s(literal 3 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/16 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/16 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 x #s(literal 15/16 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/16 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 15/16 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) |
(*.f64 x (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 15/16 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) |
(*.f64 x (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))) |
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (log.f64 x))) |
(exp.f64 (+.f64 (log.f64 x) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 #s(literal 4 binary64) x)) (log.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))))) |
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 15/16 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (sqrt.f64 x)) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/16 binary64))) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/16 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 15/16 binary64))) |
(*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(pow.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x))) |
(pow.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) x)))) |
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 4 binary64)) (log.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))))) |
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 #s(literal 4 binary64) x)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))) |
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
(exp.f64 (+.f64 (log.f64 x) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal 15/16 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 15/16 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x (*.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 7/16 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 7/16 binary64)) (pow.f64 x #s(literal 7/16 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 13/8 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 13/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 13/8 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 7/8 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 7/4 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 5/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 5/8 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 1/16 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 7/16 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 13/8 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 7/8 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 7/4 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 5/2 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 5/8 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 15/16 binary64)) #s(literal 1/16 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) |
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 15/16 binary64))) |
(*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 x)) |
(*.f64 x x) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 x))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(pow.f64 (sqrt.f64 x) #s(literal 7/16 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 7/4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 5/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 5/8 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1/16 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 13/8 binary64)) |
(pow.f64 x #s(literal 7/8 binary64)) |
(pow.f64 x #s(literal 8 binary64)) |
(pow.f64 x #s(literal 5/4 binary64)) |
(pow.f64 x #s(literal 1/8 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(sqrt.f64 x) |
(fabs.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 15/16 binary64))) (sqrt.f64 x))) |
(fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal 15/16 binary64))))) |
(fabs.f64 (neg.f64 (sqrt.f64 x))) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 7/16 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 7/16 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 7/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 7/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 5/8 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 5/8 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 1/16 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
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(*.f64 x (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 15/16 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) |
(*.f64 x (*.f64 (pow.f64 x #s(literal 15/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))) |
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (log.f64 x))) |
(exp.f64 (+.f64 (log.f64 x) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 #s(literal 4 binary64) x)) (log.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))))) |
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (log.f64 x))) |
Compiled 24 003 to 3 658 computations (84.8% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 921 | 1 | 1 922 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 921 | 9 | 1 930 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.1% | (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.4% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ▶ | 69.2% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
| ▶ | 99.3% | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ✓ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 53.5% | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ✓ | 53.4% | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
| ✓ | 53.6% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 72 to 60 computations (16.7% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) | |
| cost-diff | 6464 | (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) | |
| cost-diff | 0 | (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) | |
| cost-diff | 6784 | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
| 42× | lower-*.f32 |
| 30× | lower-*.f64 |
| 18× | *-commutative |
| 12× | lift-*.f64 |
| 8× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 74 |
| 0 | 27 | 72 |
| 1 | 36 | 66 |
| 2 | 45 | 66 |
| 3 | 47 | 66 |
| 0 | 47 | 66 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/8 binary64) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
x |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
x |
#s(literal 1/4 binary64) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(sqrt.f64 x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/8 binary64) |
#s(literal 2 binary64) |
x |
| Outputs |
|---|
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/8 binary64) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
x |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 x #s(literal 1/4 binary64)) |
x |
#s(literal 1/4 binary64) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x)) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x) |
(sqrt.f64 x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/8 binary64) |
#s(literal 2 binary64) |
x |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) | |
| accuracy | 0.453125 | (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) | |
| accuracy | 1.0 | (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.1875 | (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.35546875 | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) | |
| accuracy | 20.288009596058956 | (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) | |
| accuracy | 0 | (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) | |
| accuracy | 0.16796875 | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) | |
| accuracy | 0.31640625 | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
| 33.0ms | 256× | 0 | valid |
Compiled 76 to 18 computations (76.3% saved)
ival-pow: 9.0ms (39.3% of total)ival-mult: 8.0ms (35% of total)ival-sqrt: 3.0ms (13.1% of total)ival-pow2: 2.0ms (8.7% 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 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation:binary64>) () ()) |
#s(alt (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (patch (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation:binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
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#s(alt (* (pow 4 1/4) x) (taylor inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation:binary64>) () ())) ()) |
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#s(alt (* (pow 4 1/8) x) (taylor inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/8) x) (taylor inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/8) x) (taylor inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation:binary64>) () ())) ()) |
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#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
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#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation:binary64>) () ())) ()) |
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#s(alt (* 2 (sqrt (pow x 3))) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
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#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
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#s(alt (* (pow 4 1/4) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/4) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/4) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) #<representation:binary64>) () ())) ()) |
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#s(alt (* (pow 4 1/8) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/8) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow 4 1/8) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation:binary64>) () ())) ()) |
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#s(alt (* (pow 4 1/4) x) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 345.0ms | x | @ | inf | ((* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (pow (pow 4 1/8) 2) (* (pow (pow 4 1/8) 2) x) (sqrt x)) |
| 337.0ms | x | @ | -inf | ((* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (pow (pow 4 1/8) 2) (* (pow (pow 4 1/8) 2) x) (sqrt x)) |
| 82.0ms | x | @ | 0 | ((* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow x 1/4) (sqrt (* (sqrt x) (* x 2)))) (pow x 1/4) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2)) (pow (pow 4 1/8) 2) (* (pow (pow 4 1/8) 2) x) (sqrt x)) |
| 1× | egg-herbie |
| 3 708× | lower-fma.f64 |
| 3 708× | lower-fma.f32 |
| 2 184× | lower-*.f64 |
| 2 184× | lower-*.f32 |
| 928× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 512 |
| 1 | 100 | 512 |
| 2 | 268 | 508 |
| 3 | 587 | 508 |
| 4 | 942 | 508 |
| 5 | 1144 | 508 |
| 6 | 1560 | 508 |
| 7 | 2999 | 508 |
| 8 | 5240 | 508 |
| 9 | 6499 | 508 |
| 10 | 7504 | 508 |
| 0 | 8031 | 508 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/8) x) |
(* (pow 4 1/8) x) |
(* (pow 4 1/8) x) |
(* (pow 4 1/8) x) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/8) x) |
(* (pow 4 1/8) x) |
(* (pow 4 1/8) x) |
(* (pow 4 1/8) x) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/8) x) |
(* (pow 4 1/8) x) |
(* (pow 4 1/8) x) |
(* (pow 4 1/8) x) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* (pow 4 1/4) x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/8) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(* (pow 4 1/8) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(* (pow 4 1/8) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(* (pow 4 1/8) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/8) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(* (pow 4 1/8) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(* (pow 4 1/8) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(* (pow 4 1/8) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* 2 (sqrt (pow x 3))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/8) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(* (pow 4 1/8) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(* (pow 4 1/8) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(* (pow 4 1/8) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 21/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) x))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 21/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) x))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 21/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) x))) |
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 21/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) x))) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (pow 4 1/4) x) |
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
| 1 708× | lower-*.f32 |
| 1 698× | lower-*.f64 |
| 690× | associate-*r* |
| 586× | prod-exp |
| 584× | associate-*l* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 58 |
| 0 | 27 | 44 |
| 1 | 64 | 42 |
| 2 | 171 | 42 |
| 3 | 589 | 29 |
| 0 | 3649 | 29 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(pow.f64 x #s(literal 1/4 binary64)) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) |
(sqrt.f64 x) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/32 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/16 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/16 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1 binary64)))) |
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(*.f64 (sqrt.f64 x) (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))) |
(*.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) |
(exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 1/32 binary64))) (pow.f64 x #s(literal 1/32 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) |
(*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/16 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 7/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/16 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/64 binary64)) x)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 1/32 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 7/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) x) |
(pow.f64 (*.f64 x (pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/8 binary64))) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 x)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (fma.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))) |
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))) |
(exp.f64 (+.f64 (log.f64 x) #s(literal 0 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 1/16 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/16 binary64))) (pow.f64 x #s(literal 3/16 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/16 binary64)) (*.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3/8 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/16 binary64)) #s(literal 8 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 4 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
Compiled 6 136 to 692 computations (88.7% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 460 | 2 | 462 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 6 | 6 |
| Total | 460 | 11 | 471 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.1% | (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.4% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ✓ | 69.2% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.3% | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ▶ | 69.1% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ▶ | 20.3% | (*.f64 x #s(literal 1 binary64)) |
| ✓ | 53.5% | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ✓ | 53.4% | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
| ✓ | 53.6% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 86 to 71 computations (17.4% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (sqrt.f64 (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) | |
| cost-diff | 320 | (*.f64 x #s(literal 1 binary64)) |
| 52× | lower-*.f32 |
| 44× | lower-*.f64 |
| 18× | associate-*l* |
| 16× | *-commutative |
| 16× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 39 |
| 0 | 17 | 37 |
| 1 | 25 | 37 |
| 2 | 40 | 37 |
| 3 | 53 | 37 |
| 4 | 53 | 37 |
| 0 | 53 | 37 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
x |
x |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x)) (sqrt.f64 (sqrt.f64 x))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x)) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (sqrt.f64 (sqrt.f64 x)) | |
| accuracy | 0.1875 | (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.35546875 | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) | |
| accuracy | 20.288009596058956 | (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) | |
| accuracy | 0 | (*.f64 x #s(literal 1 binary64)) |
| 20.0ms | 256× | 0 | valid |
Compiled 41 to 12 computations (70.7% saved)
ival-mult: 7.0ms (51.7% of total)ival-sqrt: 6.0ms (44.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (pow x 3))) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (*.f64 x #s(literal 1 binary64)) (patch (*.f64 x #s(literal 1 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) (patch (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) (patch (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) #<representation:binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x | @ | -inf | ((* x 1) (* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2))) |
| 16.0ms | x | @ | inf | ((* x 1) (* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2))) |
| 16.0ms | x | @ | 0 | ((* x 1) (* (sqrt (sqrt x)) (sqrt (* (sqrt x) (* x 2)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (sqrt x) (* x 2))) (* (sqrt x) (* x 2))) |
| 1× | egg-herbie |
| 888× | lower-*.f64 |
| 888× | lower-fma.f64 |
| 888× | lower-fma.f32 |
| 888× | lower-*.f32 |
| 562× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 344 |
| 1 | 74 | 344 |
| 2 | 185 | 344 |
| 3 | 318 | 344 |
| 4 | 462 | 344 |
| 5 | 589 | 344 |
| 6 | 762 | 344 |
| 7 | 1124 | 344 |
| 8 | 1652 | 344 |
| 9 | 1703 | 344 |
| 10 | 1839 | 344 |
| 11 | 1967 | 344 |
| 12 | 2053 | 344 |
| 13 | 2207 | 344 |
| 14 | 2273 | 344 |
| 15 | 2367 | 344 |
| 16 | 2383 | 344 |
| 17 | 2387 | 344 |
| 18 | 2393 | 344 |
| 19 | 2397 | 344 |
| 20 | 2397 | 344 |
| 0 | 2397 | 344 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
x |
x |
x |
x |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
x |
x |
x |
x |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(pow (* 1 x) 1/4) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
(* 2 (sqrt (pow x 3))) |
x |
x |
x |
x |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
| Outputs |
|---|
x |
x |
x |
x |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
x |
x |
x |
x |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(pow (* 1 x) 1/4) |
(pow.f64 x #s(literal 1/4 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* 2 (sqrt (pow x 3))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
x |
x |
x |
x |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* -1 (* x (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
| 662× | pow-prod-down |
| 576× | frac-add |
| 576× | log-prod |
| 418× | associate-*r* |
| 330× | associate-*l* |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 0 | 17 | 29 |
| 1 | 33 | 22 |
| 2 | 93 | 16 |
| 3 | 334 | 16 |
| 4 | 1702 | 8 |
| 0 | 10608 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(sqrt.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
x |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(pow.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(pow.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(literal 2 binary64) |
Compiled 1 196 to 119 computations (90.1% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 118 | 1 | 119 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 9 | 9 |
| Total | 119 | 11 | 130 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.1% | (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) |
| ✓ | 99.4% | (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ✓ | 69.2% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.3% | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
| ✓ | 69.1% | (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
| ✓ | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 53.5% | (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
| ✓ | 53.4% | (sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
| ✓ | 53.6% | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 20.3% | x |
Compiled 171 to 108 computations (36.8% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
3 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| 4.0ms | x |
| 4.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.4% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
3 calls:
| 3.0ms | x |
| 2.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 2.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 99.3% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 12 to 10 computations (16.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
x |
(*.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
x |
3 calls:
| 1.0ms | x |
| 1.0ms | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 1.0ms | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.3% | 1 | x |
| 20.3% | 1 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 20.3% | 1 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
| 6× | *-commutative-binary64-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 11 | 12 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
x |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
x |
| 5 230× | lower-*.f32 |
| 5 226× | lower-*.f64 |
| 3 666× | lower-/.f64 |
| 3 666× | lower-/.f32 |
| 3 090× | lower-fma.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 0 | 17 | 29 |
| 1 | 33 | 22 |
| 2 | 93 | 16 |
| 3 | 334 | 16 |
| 4 | 1702 | 8 |
| 0 | 10608 | 8 |
| 0 | 16 | 58 |
| 0 | 27 | 44 |
| 1 | 64 | 42 |
| 2 | 171 | 42 |
| 3 | 589 | 29 |
| 0 | 3649 | 29 |
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 17 | 14 |
| 2 | 38 | 13 |
| 3 | 92 | 12 |
| 4 | 338 | 12 |
| 5 | 2074 | 12 |
| 0 | 8672 | 12 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 45 to 32 computations (28.9% saved)
Compiled 64 to 50 computations (21.9% saved)
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