
Time bar (total: 2.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 316.0ms | 8 256× | 0 | valid |
ival-mult: 57.0ms (48% of total)ival-add: 52.0ms (43.8% of total)ival-true: 7.0ms (5.9% of total)ival-assert: 3.0ms (2.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 x y) z) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 25.0ms | 512× | 0 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-add: 3.0ms (42.7% of total)ival-mult: 3.0ms (42.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 198× | distribute-lft-in |
| 184× | distribute-rgt-in |
| 174× | unsub-neg |
| 162× | associate-*r* |
| 112× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 52 |
| 1 | 58 | 46 |
| 2 | 154 | 46 |
| 3 | 534 | 46 |
| 4 | 901 | 46 |
| 5 | 1128 | 46 |
| 6 | 1145 | 46 |
| 7 | 1147 | 46 |
| 0 | 5 | 5 |
| 0 | 7 | 5 |
| 1 | 9 | 5 |
| 2 | 17 | 5 |
| 3 | 19 | 5 |
| 0 | 19 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) z) |
| Outputs |
|---|
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 y x)) |
(negabs z)
(sort x y)
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (+.f64 x y) z) |
Compiled 5 to 5 computations (0% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) z) |
| 12× | lower-*.f32 |
| 10× | lower-*.f64 |
| 8× | lower-fma.f64 |
| 8× | lower-fma.f32 |
| 8× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 7 | 11 |
| 1 | 9 | 11 |
| 2 | 17 | 11 |
| 3 | 19 | 11 |
| 0 | 19 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
| Outputs |
|---|
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 x y) z) |
| 10.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-mult: 2.0ms (60.1% of total)ival-add: 1.0ms (30.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ (* x z) y))) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ (* x z) y))) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ (* x z) y))) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((* (+ x y) z) (+ x y)) |
| 1.0ms | z | @ | -inf | ((* (+ x y) z) (+ x y)) |
| 0.0ms | z | @ | 0 | ((* (+ x y) z) (+ x y)) |
| 0.0ms | z | @ | inf | ((* (+ x y) z) (+ x y)) |
| 0.0ms | y | @ | inf | ((* (+ x y) z) (+ x y)) |
| 1× | egg-herbie |
| 5 952× | lower-fma.f64 |
| 5 952× | lower-fma.f32 |
| 3 616× | lower-*.f64 |
| 3 616× | lower-*.f32 |
| 3 296× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 228 |
| 1 | 134 | 228 |
| 2 | 369 | 228 |
| 3 | 1121 | 228 |
| 4 | 2094 | 228 |
| 5 | 3647 | 228 |
| 6 | 4495 | 228 |
| 7 | 4999 | 228 |
| 8 | 5188 | 228 |
| 9 | 5280 | 228 |
| 10 | 5320 | 228 |
| 11 | 6106 | 228 |
| 12 | 6458 | 228 |
| 13 | 6458 | 228 |
| 14 | 6470 | 228 |
| 15 | 6470 | 228 |
| 0 | 9402 | 228 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* x z) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* y z) |
(* y (+ z (/ (* x z) y))) |
(* y (+ z (/ (* x z) y))) |
(* y (+ z (/ (* x z) y))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* y z) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* x z) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* y z) |
(*.f64 y z) |
(* y (+ z (/ (* x z) y))) |
(*.f64 (+.f64 y x) z) |
(* y (+ z (/ (* x z) y))) |
(*.f64 (+.f64 y x) z) |
(* y (+ z (/ (* x z) y))) |
(*.f64 (+.f64 y x) z) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y z) |
(*.f64 y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 y x) z) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* y z) |
(*.f64 y z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* x z) |
(*.f64 x z) |
(* x (+ z (/ (* y z) x))) |
(*.f64 (+.f64 y x) z) |
(* x (+ z (/ (* y z) x))) |
(*.f64 (+.f64 y x) z) |
(* x (+ z (/ (* y z) x))) |
(*.f64 (+.f64 y x) z) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x z) |
(*.f64 x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 y x) z) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
| 6 426× | lower-fma.f64 |
| 6 426× | lower-fma.f32 |
| 4 188× | lower-/.f64 |
| 4 188× | lower-/.f32 |
| 3 654× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 22 | 8 |
| 2 | 148 | 8 |
| 3 | 1408 | 8 |
| 0 | 8373 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 5 078 to 665 computations (86.9% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 250 | 3 | 253 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 250 | 4 | 254 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (fma.f64 z y (*.f64 z x)) |
| ✓ | 100.0% | (*.f64 (+.f64 x y) z) |
| ▶ | 56.8% | #s(approx (* (+ x y) z) (*.f64 y z)) |
| ▶ | 51.9% | #s(approx (* (+ x y) z) (*.f64 x z)) |
Compiled 19 to 20 computations (-5.3% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 192 | (fma.f64 z y (*.f64 z x)) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | #s(approx (* (+ x y) z) (*.f64 y z)) | |
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | #s(approx (* (+ x y) z) (*.f64 x z)) |
| 12× | lower-*.f32 |
| 8× | lower-+.f64 |
| 8× | lower-fma.f32 |
| 8× | lower-+.f32 |
| 6× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 0 | 16 | 39 |
| 1 | 22 | 39 |
| 0 | 22 | 39 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) z) (*.f64 x z)) |
(*.f64 x z) |
x |
z |
#s(approx (* (+ x y) z) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
(fma.f64 z y (*.f64 z x)) |
z |
y |
(*.f64 z x) |
x |
| Outputs |
|---|
#s(approx (* (+ x y) z) (*.f64 x z)) |
#s(approx (* (+ x y) z) (*.f64 z x)) |
(*.f64 x z) |
(*.f64 z x) |
x |
z |
#s(approx (* (+ x y) z) (*.f64 y z)) |
#s(approx (* (+ x y) z) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(fma.f64 z y (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
z |
y |
(*.f64 z x) |
x |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0.7538979928166807 | (fma.f64 z y (*.f64 z x)) | |
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 27.677186410186724 | #s(approx (* (+ x y) z) (*.f64 y z)) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 30.79826728118896 | #s(approx (* (+ x y) z) (*.f64 x z)) |
| 21.0ms | 256× | 0 | valid |
Compiled 35 to 12 computations (65.7% saved)
ival-mult: 8.0ms (66% of total)ival-add: 4.0ms (33% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor -inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor -inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor -inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor -inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor -inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor -inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor -inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor -inf z) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 x) (* -1 y)))) (taylor -inf z) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 x) (* -1 y)))) (taylor -inf z) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 x) (* -1 y)))) (taylor -inf z) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 x) (* -1 y)))) (taylor -inf z) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 y) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 y) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 y) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 y) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 y) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 y) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 y) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ (* x z) y))) (taylor inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ (* x z) y))) (taylor inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ (* x z) y))) (taylor inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ (* x z) y))) (taylor inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ (* x z) y))) (taylor inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ (* x z) y))) (taylor inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ (* x z) y))) (taylor inf y) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ (* x z) y))) (taylor inf y) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ (* x z) y))) (taylor inf y) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 x) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 x) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 x) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 x) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 x) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 x) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 x) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 x) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 x) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 x) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 x) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 x) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 x z)) (patch #s(approx (* (+ x y) z) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) z) (*.f64 y z)) (patch #s(approx (* (+ x y) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 z y (*.f64 z x)) (patch (fma.f64 z y (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | ((* (+ x y) z) (* x z) (* (+ x y) z) (* y z) (+ (* z y) (* z x)) (* z x)) |
| 1.0ms | z | @ | -inf | ((* (+ x y) z) (* x z) (* (+ x y) z) (* y z) (+ (* z y) (* z x)) (* z x)) |
| 1.0ms | z | @ | 0 | ((* (+ x y) z) (* x z) (* (+ x y) z) (* y z) (+ (* z y) (* z x)) (* z x)) |
| 1.0ms | y | @ | -inf | ((* (+ x y) z) (* x z) (* (+ x y) z) (* y z) (+ (* z y) (* z x)) (* z x)) |
| 1.0ms | x | @ | -inf | ((* (+ x y) z) (* x z) (* (+ x y) z) (* y z) (+ (* z y) (* z x)) (* z x)) |
| 1× | egg-herbie |
| 3 584× | lower-fma.f64 |
| 3 584× | lower-fma.f32 |
| 2 240× | lower-*.f64 |
| 2 240× | lower-*.f32 |
| 1 534× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 720 |
| 1 | 103 | 720 |
| 2 | 296 | 720 |
| 3 | 714 | 720 |
| 4 | 2109 | 720 |
| 5 | 3963 | 720 |
| 6 | 4812 | 720 |
| 7 | 5145 | 720 |
| 8 | 5270 | 720 |
| 9 | 5346 | 720 |
| 10 | 6214 | 720 |
| 11 | 7272 | 720 |
| 12 | 7340 | 720 |
| 13 | 7444 | 720 |
| 14 | 7492 | 720 |
| 15 | 7508 | 720 |
| 16 | 7596 | 720 |
| 17 | 7725 | 720 |
| 0 | 8143 | 720 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* z (+ (* -1 x) (* -1 y)))) |
(* -1 (* z (+ (* -1 x) (* -1 y)))) |
(* -1 (* z (+ (* -1 x) (* -1 y)))) |
(* -1 (* z (+ (* -1 x) (* -1 y)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(* x z) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* x z) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(* y z) |
(* y (+ z (/ (* x z) y))) |
(* y (+ z (/ (* x z) y))) |
(* y (+ z (/ (* x z) y))) |
(* y z) |
(* y (+ z (/ (* x z) y))) |
(* y (+ z (/ (* x z) y))) |
(* y (+ z (/ (* x z) y))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y (+ z (/ (* x z) y))) |
(* y (+ z (/ (* x z) y))) |
(* y (+ z (/ (* x z) y))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* y z) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* y z) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(* y z) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
(* x z) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
| Outputs |
|---|
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* -1 (* z (+ (* -1 x) (* -1 y)))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* z (+ (* -1 x) (* -1 y)))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* z (+ (* -1 x) (* -1 y)))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* z (+ (* -1 x) (* -1 y)))) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* x z) |
(*.f64 x z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(* y z) |
(*.f64 y z) |
(* y (+ z (/ (* x z) y))) |
(*.f64 (+.f64 y x) z) |
(* y (+ z (/ (* x z) y))) |
(*.f64 (+.f64 y x) z) |
(* y (+ z (/ (* x z) y))) |
(*.f64 (+.f64 y x) z) |
(* y z) |
(*.f64 y z) |
(* y (+ z (/ (* x z) y))) |
(*.f64 (+.f64 y x) z) |
(* y (+ z (/ (* x z) y))) |
(*.f64 (+.f64 y x) z) |
(* y (+ z (/ (* x z) y))) |
(*.f64 (+.f64 y x) z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y (+ z (/ (* x z) y))) |
(*.f64 (+.f64 y x) z) |
(* y (+ z (/ (* x z) y))) |
(*.f64 (+.f64 y x) z) |
(* y (+ z (/ (* x z) y))) |
(*.f64 (+.f64 y x) z) |
(* y z) |
(*.f64 y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 y x) z) |
(* y z) |
(*.f64 y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 y x) z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 y x) z) |
(* y z) |
(*.f64 y z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* y z) |
(*.f64 y z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(* y z) |
(*.f64 y z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x (+ z (/ (* y z) x))) |
(*.f64 (+.f64 y x) z) |
(* x (+ z (/ (* y z) x))) |
(*.f64 (+.f64 y x) z) |
(* x (+ z (/ (* y z) x))) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x (+ z (/ (* y z) x))) |
(*.f64 (+.f64 y x) z) |
(* x (+ z (/ (* y z) x))) |
(*.f64 (+.f64 y x) z) |
(* x (+ z (/ (* y z) x))) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(* x (+ z (/ (* y z) x))) |
(*.f64 (+.f64 y x) z) |
(* x (+ z (/ (* y z) x))) |
(*.f64 (+.f64 y x) z) |
(* x (+ z (/ (* y z) x))) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 y x) z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 y x) z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
| 5 346× | lower-fma.f32 |
| 5 344× | lower-fma.f64 |
| 4 496× | lower-*.f32 |
| 4 490× | lower-*.f64 |
| 4 476× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 33 |
| 0 | 16 | 32 |
| 1 | 47 | 32 |
| 2 | 309 | 32 |
| 3 | 3270 | 32 |
| 0 | 8956 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) z) (*.f64 x z)) |
(*.f64 x z) |
#s(approx (* (+ x y) z) (*.f64 y z)) |
(*.f64 y z) |
(fma.f64 z y (*.f64 z x)) |
(*.f64 z x) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
Compiled 6 455 to 628 computations (90.3% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 398 | 0 | 398 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 398 | 4 | 402 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.8% | (fma.f64 z y (*.f64 z x)) |
| ✓ | 100.0% | (*.f64 (+.f64 x y) z) |
| ✓ | 56.8% | #s(approx (* (+ x y) z) (*.f64 y z)) |
| ✓ | 51.9% | #s(approx (* (+ x y) z) (*.f64 x z)) |
Compiled 38 to 31 computations (18.4% saved)
| Inputs |
|---|
#s(approx (* (+ x y) z) (*.f64 x z)) |
#s(approx (* (+ x y) z) (*.f64 y z)) |
(*.f64 (+.f64 x y) z) |
(fma.f64 z y (*.f64 z x)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) z) |
5 calls:
| 2.0ms | (+.f64 x y) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (*.f64 (+.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (*.f64 (+.f64 x y) z) |
| 100.0% | 1 | (+.f64 x y) |
Compiled 11 to 18 computations (-63.6% saved)
| Inputs |
|---|
#s(approx (* (+ x y) z) (*.f64 x z)) |
#s(approx (* (+ x y) z) (*.f64 y z)) |
| Outputs |
|---|
#s(approx (* (+ x y) z) (*.f64 x z)) |
#s(approx (* (+ x y) z) (*.f64 y z)) |
5 calls:
| 4.0ms | (+.f64 x y) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (*.f64 (+.f64 x y) z) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 2 | x |
| 87.8% | 2 | y |
| 65.0% | 4 | z |
| 98.9% | 2 | (*.f64 (+.f64 x y) z) |
| 98.9% | 2 | (+.f64 x y) |
Compiled 11 to 18 computations (-63.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (+ x y) z) (*.f64 x z)) |
| Outputs |
|---|
#s(approx (* (+ x y) z) (*.f64 x z)) |
5 calls:
| 1.0ms | (+.f64 x y) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 (+.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 1 | z |
| 51.9% | 1 | x |
| 51.9% | 1 | y |
| 51.9% | 1 | (*.f64 (+.f64 x y) z) |
| 51.9% | 1 | (+.f64 x y) |
Compiled 11 to 18 computations (-63.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -6.904038755842023e-265 | 9.0724260865488e-227 |
Compiled 8 to 11 computations (-37.5% saved)
| 1× | egg-herbie |
| 6× | *-commutative-binary64-*.f64 |
| 2× | +-commutative-binary64-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 38 |
| 1 | 18 | 38 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) z) |
(if (<=.f64 (+.f64 x y) #s(literal -283625966735417/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) #s(approx (* (+ x y) z) (*.f64 x z)) #s(approx (* (+ x y) z) (*.f64 y z))) |
#s(approx (* (+ x y) z) (*.f64 x z)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 y x)) |
(if (<=.f64 (+.f64 x y) #s(literal -283625966735417/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) #s(approx (* (+ x y) z) (*.f64 x z)) #s(approx (* (+ x y) z) (*.f64 y z))) |
(if (<=.f64 (+.f64 y x) #s(literal -283625966735417/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) #s(approx (* (+ x y) z) (*.f64 z x)) #s(approx (* (+ x y) z) (*.f64 z y))) |
#s(approx (* (+ x y) z) (*.f64 x z)) |
#s(approx (* (+ x y) z) (*.f64 z x)) |
| 5 952× | lower-fma.f64 |
| 5 952× | lower-fma.f32 |
| 3 616× | lower-*.f64 |
| 3 616× | lower-*.f32 |
| 3 296× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 228 |
| 1 | 134 | 228 |
| 2 | 369 | 228 |
| 3 | 1121 | 228 |
| 4 | 2094 | 228 |
| 5 | 3647 | 228 |
| 6 | 4495 | 228 |
| 7 | 4999 | 228 |
| 8 | 5188 | 228 |
| 9 | 5280 | 228 |
| 10 | 5320 | 228 |
| 11 | 6106 | 228 |
| 12 | 6458 | 228 |
| 13 | 6458 | 228 |
| 14 | 6470 | 228 |
| 15 | 6470 | 228 |
| 0 | 9402 | 228 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 32 to 24 computations (25% saved)
(sort x y)
(negabs z)
Compiled 116 to 94 computations (19% saved)
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