
Time bar (total: 27.3s)
| 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 8 to 7 computations (12.5% saved)
| 289.0ms | 8 256× | 0 | valid |
ival-mult: 96.0ms (60.9% of total)ival-exp: 53.0ms (33.6% of total)ival-true: 5.0ms (3.2% of total)ival-assert: 3.0ms (1.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x y) y) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f64 | (exp.f64 (*.f64 (*.f64 x y) y)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 21.0ms | 512× | 0 | valid |
Compiled 90 to 34 computations (62.2% saved)
ival-mult: 6.0ms (59.6% of total)ival-exp: 3.0ms (29.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 38 |
| 1 | 49 | 34 |
| 2 | 124 | 34 |
| 3 | 300 | 34 |
| 4 | 502 | 34 |
| 5 | 648 | 34 |
| 6 | 718 | 34 |
| 7 | 729 | 34 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 14 | 6 |
| 2 | 21 | 6 |
| 3 | 23 | 6 |
| 4 | 24 | 6 |
| 0 | 24 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
| Outputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(abs y)
Compiled 6 to 5 computations (16.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (exp.f64 (*.f64 (*.f64 x y) y)) |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -12288 | (exp.f64 (*.f64 (*.f64 x y) y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 16 |
| 0 | 8 | 16 |
| 1 | 14 | 16 |
| 2 | 21 | 16 |
| 3 | 23 | 16 |
| 4 | 24 | 16 |
| 0 | 24 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
x |
y |
| Outputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y x) y) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.022267342648988643 | (exp.f64 (*.f64 (*.f64 x y) y)) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 x y) y) |
| 10.0ms | 256× | 0 | valid |
Compiled 34 to 12 computations (64.7% saved)
ival-mult: 3.0ms (62.4% of total)ival-exp: 2.0ms (41.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor -inf y) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) 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 y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (*.f64 x y) y)) (patch (exp.f64 (*.f64 (*.f64 x y) y)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* (* x y) y) (* x y) (exp (* (* x y) y))) |
| 1.0ms | x | @ | 0 | ((* (* x y) y) (* x y) (exp (* (* x y) y))) |
| 1.0ms | y | @ | 0 | ((* (* x y) y) (* x y) (exp (* (* x y) y))) |
| 1.0ms | y | @ | -inf | ((* (* x y) y) (* x y) (exp (* (* x y) y))) |
| 1.0ms | x | @ | inf | ((* (* x y) y) (* x y) (exp (* (* x y) y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 392 |
| 1 | 120 | 392 |
| 2 | 328 | 388 |
| 3 | 803 | 384 |
| 4 | 1106 | 380 |
| 5 | 1234 | 380 |
| 6 | 1314 | 380 |
| 7 | 1337 | 380 |
| 8 | 1351 | 380 |
| 9 | 2752 | 380 |
| 10 | 3337 | 380 |
| 11 | 4128 | 380 |
| 12 | 5124 | 380 |
| 13 | 5145 | 380 |
| 14 | 5145 | 380 |
| 15 | 5378 | 380 |
| 16 | 5378 | 380 |
| 17 | 5378 | 380 |
| 18 | 5378 | 380 |
| 19 | 6827 | 380 |
| 20 | 6827 | 380 |
| 0 | 6827 | 368 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
| Outputs |
|---|
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y x) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) y) (*.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) x y) (*.f64 y x) #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y x) y #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/2 binary64) y) (*.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) x y) (*.f64 y x) #s(literal 1 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) x) y) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 12 |
| 1 | 14 | 12 |
| 2 | 29 | 12 |
| 3 | 92 | 12 |
| 4 | 482 | 3 |
| 5 | 3914 | 3 |
| 0 | 9072 | 3 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
(exp.f64 (*.f64 (*.f64 x y) y)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
Compiled 555 to 42 computations (92.4% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 5 | 79 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 74 | 6 | 80 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (exp.f64 (*.f64 (*.f64 x y) y)) |
| ▶ | 87.6% | (exp.f64 (*.f64 x y)) |
| ▶ | 68.2% | (exp.f64 y) |
| ▶ | 60.7% | (exp.f64 x) |
| ▶ | 65.0% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
| ▶ | 49.6% | #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
Compiled 40 to 45 computations (-12.5% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 y) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) | |
| cost-diff | -6144 | (exp.f64 (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 49 |
| 0 | 21 | 49 |
| 1 | 31 | 49 |
| 2 | 35 | 49 |
| 3 | 37 | 49 |
| 4 | 38 | 49 |
| 0 | 38 | 49 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 y x) y #s(literal 1 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(exp.f64 y) |
y |
| Outputs |
|---|
(exp.f64 (*.f64 x y)) |
(pow.f64 (exp.f64 y) x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 y x) y #s(literal 1 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(exp.f64 y) |
y |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 y) | |
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.07421875 | (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) | |
| accuracy | 22.421394650080305 | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) | |
| accuracy | 32.262010187436445 | #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0 | (exp.f64 (*.f64 x y)) |
| 21.0ms | 256× | 0 | valid |
Compiled 80 to 25 computations (68.8% saved)
ival-exp: 6.0ms (46.3% of total)ival-mult: 6.0ms (46.3% of total)ival-add: 1.0ms (7.7% 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 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ()) |
#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) (taylor 0 y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ 1 (* 1/2 y)))) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) (taylor 0 y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x y)) (taylor inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x y)) (taylor inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x y)) (taylor inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x y)) (taylor inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (patch #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (exp y) (taylor inf y) (#s(alt (exp.f64 y) (patch (exp.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x y)) (taylor -inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x y)) (taylor -inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x y)) (taylor -inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x y)) (taylor -inf y) (#s(alt (exp.f64 (*.f64 x y)) (patch (exp.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | ((* x y) (exp (* x y)) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y)) |
| 1.0ms | x | @ | -inf | ((* x y) (exp (* x y)) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y)) |
| 1.0ms | y | @ | -inf | ((* x y) (exp (* x y)) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y)) |
| 1.0ms | x | @ | 0 | ((* x y) (exp (* x y)) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y)) |
| 0.0ms | y | @ | inf | ((* x y) (exp (* x y)) (exp (* (* x y) y)) (exp (* (* x y) y)) (+ (* (* y x) y) 1) (* y x) (exp x) (exp y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 920 |
| 1 | 318 | 920 |
| 2 | 797 | 908 |
| 3 | 1922 | 900 |
| 4 | 3022 | 892 |
| 5 | 5032 | 892 |
| 0 | 8248 | 828 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 (* x y)) |
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) |
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) |
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* x (pow y 2))) |
(+ 1 (* x (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2)))))) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2))))))) |
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
1 |
(+ 1 (* x (pow y 2))) |
(+ 1 (* x (pow y 2))) |
(+ 1 (* x (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(* x (pow y 2)) |
(* x (+ (/ 1 x) (pow y 2))) |
(* x (+ (/ 1 x) (pow y 2))) |
(* x (+ (/ 1 x) (pow y 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(exp (* x (pow y 2))) |
(* x (pow y 2)) |
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) x (*.f64 y y)) x #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) x (*.f64 y y)) x #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* (pow y 2) (+ x (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) x (*.f64 y y)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2)))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) x (*.f64 y y)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))) x (*.f64 y y)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(+ 1 (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (+ (/ 1 x) (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (pow y 2))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(exp (* x (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (pow y 2)) (/ 1 x)))) |
(fma.f64 (*.f64 y y) x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 41 |
| 0 | 21 | 41 |
| 1 | 44 | 41 |
| 2 | 189 | 41 |
| 3 | 1534 | 41 |
| 0 | 8527 | 41 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x y) |
(exp.f64 (*.f64 x y)) |
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 y x) y #s(literal 1 binary64)) |
(*.f64 y x) |
(exp.f64 x) |
(exp.f64 y) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<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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Compiled 8 108 to 872 computations (89.2% saved)
16 alts after pruning (10 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 422 | 10 | 432 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 422 | 16 | 438 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (exp.f64 (*.f64 (*.f64 x y) y)) |
| ✓ | 87.6% | (exp.f64 (*.f64 x y)) |
| ✓ | 68.2% | (exp.f64 y) |
| ✓ | 60.7% | (exp.f64 x) |
| ✓ | 65.0% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
| 20.8% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) | |
| ✓ | 49.6% | #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
| ▶ | 64.7% | #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) |
| 60.4% | #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) | |
| ▶ | 50.9% | #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
| 62.9% | #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| 60.0% | #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| 45.8% | #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) | |
| ▶ | 47.7% | #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
| ▶ | 45.5% | #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
| ▶ | 33.2% | #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 197 to 173 computations (12.2% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 y x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 166 |
| 0 | 47 | 166 |
| 1 | 82 | 166 |
| 2 | 169 | 166 |
| 3 | 409 | 166 |
| 4 | 877 | 166 |
| 5 | 1121 | 166 |
| 6 | 1487 | 166 |
| 7 | 2165 | 166 |
| 8 | 2790 | 166 |
| 9 | 2890 | 166 |
| 10 | 2890 | 166 |
| 11 | 2890 | 166 |
| 12 | 3181 | 166 |
| 13 | 3204 | 166 |
| 0 | 3204 | 166 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
y |
x |
#s(literal 1 binary64) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) y) x #s(literal 1 binary64)) x) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x) x) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
y |
x |
#s(literal 1 binary64) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.16796875 | (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) | |
| accuracy | 15.98590361525721 | #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) | |
| accuracy | 18.812089375961982 | #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 0 | (fma.f64 y x #s(literal 1 binary64)) | |
| accuracy | 27.982956438313376 | #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 29.038033807272665 | #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.4905805514719167 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) | |
| accuracy | 1.887853693881715 | (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) | |
| accuracy | 3.6531419104173795 | (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) | |
| accuracy | 17.94145972919389 | #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) |
| 45.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 292 to 54 computations (81.5% saved)
ival-mult: 16.0ms (49.3% of total)ival-add: 9.0ms (27.7% of total)const: 3.0ms (9.2% of total)ival-exp: 3.0ms (9.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) (patch (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x #s(literal 1 binary64)) (patch (fma.f64 y x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((exp (* x y)) (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) (* (* x x) (+ (* (* 1/6 x) y) 1/2)) (exp x) (+ 1 x) (exp (* x y)) (+ (* y x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2)) |
| 2.0ms | y | @ | -inf | ((exp (* x y)) (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) (* (* x x) (+ (* (* 1/6 x) y) 1/2)) (exp x) (+ 1 x) (exp (* x y)) (+ (* y x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2)) |
| 2.0ms | x | @ | inf | ((exp (* x y)) (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) (* (* x x) (+ (* (* 1/6 x) y) 1/2)) (exp x) (+ 1 x) (exp (* x y)) (+ (* y x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2)) |
| 1.0ms | x | @ | 0 | ((exp (* x y)) (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) (* (* x x) (+ (* (* 1/6 x) y) 1/2)) (exp x) (+ 1 x) (exp (* x y)) (+ (* y x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2)) |
| 1.0ms | y | @ | 0 | ((exp (* x y)) (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) (* (* x x) (+ (* (* 1/6 x) y) 1/2)) (exp x) (+ 1 x) (exp (* x y)) (+ (* y x) 1) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 223 | 1965 |
| 1 | 752 | 1900 |
| 2 | 2591 | 1851 |
| 3 | 7193 | 1849 |
| 0 | 8040 | 1660 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* x y)) |
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) |
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) |
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) |
x |
(+ x (* 1/2 (* (pow x 2) y))) |
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))) |
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))) |
(* 1/2 (pow x 2)) |
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) |
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) |
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) |
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(* 1/6 (* (pow x 3) (pow y 3))) |
(* (pow y 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(* (pow y 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2))))) |
(* 1/6 (* (pow x 3) y)) |
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(* x y) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(* 1/6 (* (pow x 3) (pow y 3))) |
(* -1 (* (pow y 3) (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x y)) y)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (* 1/2 (pow x 2))) y)) (* -1/6 (pow x 3))))) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 (pow x 2))) y)) (* 1/6 (pow x 3)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 (pow x 2))) y)) (* 1/6 (pow x 3)))) |
(* 1/6 (* (pow x 3) y)) |
(* -1 (* y (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3))))) |
(* -1 (* y (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3))))) |
(* -1 (* y (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3))))) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(* x y) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2)))))) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2))))))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2)))))) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2))))))) |
x |
(* x (+ 1 (* 1/2 (* x y)))) |
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 2))) (* 1/2 y))))) |
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 2))) (* 1/2 y))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/6 (* x y)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (* x y)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (* x y)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2)))))) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2))))))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* 1/6 x)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(* 1/6 (* (pow x 3) (pow y 3))) |
(* (pow x 3) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (+ (/ 1 (pow x 3)) (/ y (pow x 2)))))) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ y x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 2)) (+ (* 1/2 (/ y x)) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow y 2)) (+ (* 1/2 (/ y x)) (/ 1 (pow x 2))))) |
(* 1/6 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ 1 x)))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(* x y) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(* 1/6 (* (pow x 3) (pow y 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ y x)) x)) (* -1/6 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 3))))) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y x)) (* -1/6 (pow y 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2))))) |
(* 1/6 (* (pow x 3) y)) |
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(* x y) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y #s(literal 1 binary64)) |
x |
(+ x (* 1/2 (* (pow x 2) y))) |
(fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) |
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) |
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) |
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) |
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) |
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x |
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(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(exp (* x y)) |
(pow.f64 (exp.f64 y) x) |
(exp (* x y)) |
(pow.f64 (exp.f64 y) x) |
(exp (* x y)) |
(pow.f64 (exp.f64 y) x) |
(exp (* x y)) |
(pow.f64 (exp.f64 y) x) |
(* 1/6 (* (pow x 3) (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3))))) |
(*.f64 (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ y x)) x)) (* -1/6 (pow y 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (/.f64 y x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (/.f64 (-.f64 y (/.f64 #s(literal -1 binary64) x)) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y) #s(literal 1/6 binary64)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y x)) (* -1/6 (pow y 2))))) |
(*.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/6 (* (pow x 3) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/6 binary64)) |
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(exp (* x y)) |
(pow.f64 (exp.f64 y) x) |
(exp (* x y)) |
(pow.f64 (exp.f64 y) x) |
(exp (* x y)) |
(pow.f64 (exp.f64 y) x) |
(exp (* x y)) |
(pow.f64 (exp.f64 y) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(* 1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6))) |
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) x)) (pow.f64 x #s(literal 3 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 137 |
| 0 | 47 | 137 |
| 1 | 190 | 137 |
| 2 | 1466 | 137 |
| 0 | 8199 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
(fma.f64 y x #s(literal 1 binary64)) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
| Outputs |
|---|
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Compiled 14 214 to 2 033 computations (85.7% saved)
18 alts after pruning (11 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 651 | 6 | 657 |
| Fresh | 0 | 5 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 6 | 6 |
| Total | 655 | 18 | 673 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (exp.f64 (*.f64 (*.f64 x y) y)) |
| ✓ | 87.6% | (exp.f64 (*.f64 x y)) |
| ✓ | 68.2% | (exp.f64 y) |
| ✓ | 60.7% | (exp.f64 x) |
| ✓ | 65.0% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
| 20.8% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) | |
| ✓ | 49.6% | #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
| ▶ | 64.6% | #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) |
| 60.4% | #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) | |
| 25.9% | #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y))) | |
| 11.0% | #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) | |
| ▶ | 62.9% | #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
| ▶ | 60.0% | #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
| ▶ | 45.8% | #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
| ✓ | 33.2% | #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
| 25.0% | #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) | |
| 23.7% | #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) | |
| ▶ | 21.5% | #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
Compiled 245 to 212 computations (13.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) | |
| cost-diff | 6464 | (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 218 |
| 0 | 57 | 218 |
| 1 | 93 | 204 |
| 2 | 169 | 204 |
| 3 | 406 | 204 |
| 4 | 912 | 204 |
| 5 | 1188 | 204 |
| 6 | 1275 | 204 |
| 7 | 1379 | 204 |
| 8 | 1534 | 204 |
| 9 | 1634 | 204 |
| 10 | 1787 | 204 |
| 11 | 1788 | 204 |
| 12 | 1788 | 204 |
| 0 | 1788 | 196 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 y x) (*.f64 x x)) |
(*.f64 y x) |
y |
x |
(*.f64 x x) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) y #s(literal 1 binary64)) y) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) y #s(literal 1 binary64)) y) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) y #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 y x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) y) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 x x) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
y |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 0.1796875 | (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) | |
| accuracy | 9.804294841141951 | #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) | |
| accuracy | 14.363023029081926 | #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.01171875 | (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 18.812089375961982 | #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) | |
| accuracy | 33.02009502995249 | #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 30.389805763189557 | #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 1.887853693881715 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) | |
| accuracy | 3.6531419104173795 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) | |
| accuracy | 5.988235838264528 | (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) | |
| accuracy | 17.94145972919389 | #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) |
| 66.0ms | 256× | 0 | valid |
Compiled 357 to 63 computations (82.4% saved)
ival-mult: 24.0ms (50.6% of total)ival-add: 13.0ms (27.4% of total)ival-exp: 6.0ms (12.6% of total)const: 4.0ms (8.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ()) |
#s(alt #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (patch #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* x y)) (taylor -inf x) (#s(alt #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) (patch #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow x 3) (pow y 3))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ y x)) x)) (* -1/6 (pow y 3))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 3))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1/2 (/ y x)) (* -1/6 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) (exp (* x y)) (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) (exp y) (+ 1 y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (* x x) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2)) |
| 2.0ms | y | @ | inf | ((+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) (exp (* x y)) (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) (exp y) (+ 1 y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (* x x) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2)) |
| 1.0ms | y | @ | 0 | ((+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) (exp (* x y)) (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) (exp y) (+ 1 y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (* x x) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2)) |
| 1.0ms | x | @ | -inf | ((+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) (exp (* x y)) (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) (exp y) (+ 1 y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (* x x) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2)) |
| 1.0ms | x | @ | inf | ((+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) (exp (* x y)) (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) (exp y) (+ 1 y) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (* x x) 1/2) (* x x) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* 1/6 y) 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 1939 |
| 1 | 783 | 1882 |
| 2 | 2686 | 1811 |
| 3 | 7475 | 1811 |
| 0 | 8030 | 1633 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (pow x 2)) |
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) |
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) |
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) |
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) |
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) |
x |
(+ x (* 1/2 (* (pow x 2) y))) |
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))) |
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
1 |
(+ 1 (* 1/2 y)) |
(+ 1 (* 1/2 y)) |
(+ 1 (* 1/2 y)) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
1 |
(+ 1 (* 1/2 y)) |
(+ 1 (* y (+ 1/2 (* 1/6 y)))) |
(+ 1 (* y (+ 1/2 (* 1/6 y)))) |
1/2 |
(+ 1/2 (* 1/6 y)) |
(+ 1/2 (* 1/6 y)) |
(+ 1/2 (* 1/6 y)) |
(* 1/6 (* (pow x 3) y)) |
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(* 1/6 (* (pow x 3) (pow y 3))) |
(* (pow y 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(* (pow y 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2))))) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (/ 1 y))) |
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* 1/2 y) |
(* y (+ 1/2 (/ 1 y))) |
(* y (+ 1/2 (/ 1 y))) |
(* y (+ 1/2 (/ 1 y))) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(* 1/6 (pow y 3)) |
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y)))) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y)))) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* 1/6 (* (pow x 3) y)) |
(* -1 (* y (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3))))) |
(* -1 (* y (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3))))) |
(* -1 (* y (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3))))) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(* 1/6 (* (pow x 3) (pow y 3))) |
(* -1 (* (pow y 3) (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x y)) y)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (* 1/2 (pow x 2))) y)) (* -1/6 (pow x 3))))) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 (pow x 2))) y)) (* 1/6 (pow x 3)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 (pow x 2))) y)) (* 1/6 (pow x 3)))) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (/ 1 y))) |
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* 1/2 y) |
(* y (+ 1/2 (/ 1 y))) |
(* y (+ 1/2 (/ 1 y))) |
(* y (+ 1/2 (/ 1 y))) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(* 1/6 (pow y 3)) |
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y)))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y)))) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/6 (* x y)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (* x y)))) |
(* (pow x 2) (+ 1/2 (* 1/6 (* x y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2)))))) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2))))))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2)))))) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2))))))) |
x |
(* x (+ 1 (* 1/2 (* x y)))) |
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 2))) (* 1/2 y))))) |
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 2))) (* 1/2 y))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ 1 x)))) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(* 1/6 (* (pow x 3) (pow y 3))) |
(* (pow x 3) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (+ (/ 1 (pow x 3)) (/ y (pow x 2)))))) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ y x)))) |
(* (pow x 3) (+ (* 1/6 (pow y 2)) (+ (* 1/2 (/ y x)) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow y 2)) (+ (* 1/2 (/ y x)) (/ 1 (pow x 2))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (* (pow x 3) y)) |
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(exp (* x y)) |
(* 1/6 (* (pow x 3) (pow y 3))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ y x)) x)) (* -1/6 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 3))))) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y x)) (* -1/6 (pow y 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) |
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) |
(+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* 1/2 (* (pow x 2) y))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
x |
(+ x (* 1/2 (* (pow x 2) y))) |
(fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) |
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x) |
(+ x (* y (+ (* 1/6 (* (pow x 3) y)) (* 1/2 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(fma.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(fma.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 y)) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 y)) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 y)) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(fma.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(fma.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 y)) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* y (+ 1/2 (* 1/6 y)))) |
(fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1/2 (* 1/6 y)))) |
(fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 y)) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 y)) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 y)) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 (* (pow x 3) y)) |
(*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)) |
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) |
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) |
(* y (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(* 1/6 (* (pow x 3) (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow y 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y) |
(* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x (/.f64 x y)) (*.f64 y y)) |
(* (pow y 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x (/.f64 x y)) (*.f64 y y) #s(literal 1 binary64)) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) |
(* (pow y 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x (/.f64 x y)) y) |
(* (pow y 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) y)) (/ x (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x (/.f64 x y)) y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(* 1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(* (pow y 2) (+ 1/2 (/ 1 y))) |
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) y) |
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* y (+ 1/2 (/ 1 y))) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* y (+ 1/2 (/ 1 y))) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* y (+ 1/2 (/ 1 y))) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(* 1/6 (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y y) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(fma.f64 (fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 (* (pow x 3) y)) |
(*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)) |
(* -1 (* y (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) |
(* -1 (* y (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) |
(* -1 (* y (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(* 1/6 (* (pow x 3) (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1/2 (/ (pow x 2) y)) (* -1/6 (pow x 3))))) |
(*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x y)) y)) (* -1/6 (pow x 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (* 1/2 (pow x 2))) y)) (* -1/6 (pow x 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 (pow x 2))) y)) (* 1/6 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y))) (neg.f64 y))) y) y) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 (pow x 2))) y)) (* 1/6 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y))) (neg.f64 y))) y) y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(* 1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(* (pow y 2) (+ 1/2 (/ 1 y))) |
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) y) |
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(fma.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* y (+ 1/2 (/ 1 y))) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* y (+ 1/2 (/ 1 y))) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* y (+ 1/2 (/ 1 y))) |
(fma.f64 y #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(* 1/6 (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) y))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y))) (pow.f64 y #s(literal 3 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(fma.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* 1/6 (* x y)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* 1/6 (* x y)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (+ 1/2 (* 1/6 (* x y)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x (+ y (* 1/2 (* x (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* x (+ y (* x (+ (* 1/6 (* x (pow y 3))) (* 1/2 (pow y 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x y) x #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 (* x y)))) |
(fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) |
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 2))) (* 1/2 y))))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ (* 1/6 (* x (pow y 2))) (* 1/2 y))))) |
(*.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (* (pow x 3) y)) |
(*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)) |
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 y) (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(* 1/6 (* (pow x 3) (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 3)) (* 1/2 (/ (pow y 2) x)))) |
(*.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (/ y (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 3)) (+ (* 1/2 (/ (pow y 2) x)) (+ (/ 1 (pow x 3)) (/ y (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) #s(literal 1/6 binary64)) |
(* (pow x 3) (+ (* 1/6 (pow y 2)) (* 1/2 (/ y x)))) |
(*.f64 (*.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 2)) (+ (* 1/2 (/ y x)) (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow y 2)) (+ (* 1/2 (/ y x)) (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x) #s(literal 1 binary64))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (* (pow x 3) y)) |
(*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)) |
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1/6 y) (* 1/2 (/ 1 x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(exp (* x y)) |
(pow.f64 (exp.f64 x) y) |
(* 1/6 (* (pow x 3) (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow y 2) x)) (* -1/6 (pow y 3))))) |
(*.f64 (*.f64 (*.f64 y y) (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow y 2)) (/ y x)) x)) (* -1/6 (pow y 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (/.f64 y x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (* 1/2 (pow y 2))) x)) (* -1/6 (pow y 3))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) y) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/6 (* (pow x 3) (pow y 2))) |
(*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) #s(literal 1/6 binary64)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y x)) (* -1/6 (pow y 2))))) |
(*.f64 (*.f64 y (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y (/.f64 (fma.f64 y #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* -1/6 (pow y 2))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y (/.f64 (fma.f64 y #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 181 |
| 0 | 57 | 181 |
| 1 | 215 | 169 |
| 2 | 1614 | 169 |
| 0 | 8307 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) |
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
| Outputs |
|---|
#<batchref> |
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#<batchref> |
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#<batchref> |
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#<batchref> |
#<batchref> |
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#<batchref> |
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#<batchref> |
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#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 14 819 to 1 956 computations (86.8% saved)
20 alts after pruning (10 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 646 | 6 | 652 |
| Fresh | 2 | 4 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 650 | 20 | 670 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (exp.f64 (*.f64 (*.f64 x y) y)) |
| ✓ | 87.6% | (exp.f64 (*.f64 x y)) |
| ✓ | 68.2% | (exp.f64 y) |
| ✓ | 60.7% | (exp.f64 x) |
| ✓ | 65.0% | #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
| 20.8% | #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) | |
| ✓ | 49.6% | #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
| ✓ | 64.6% | #s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) |
| 61.2% | #s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) | |
| 27.5% | #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y))) | |
| 11.0% | #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) | |
| 62.9% | #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| 62.9% | #s(approx (exp y) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| ✓ | 45.8% | #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
| 21.2% | #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))) | |
| 18.3% | #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) | |
| ✓ | 33.2% | #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
| 25.0% | #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) | |
| 23.7% | #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) | |
| ✓ | 21.5% | #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
Compiled 435 to 268 computations (38.4% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y))) |
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(exp.f64 x) |
(exp.f64 y) |
(exp.f64 (*.f64 x y)) |
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) |
(exp.f64 (*.f64 (*.f64 x y) y)) |
| Outputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
4 calls:
| 9.0ms | x |
| 9.0ms | y |
| 8.0ms | (*.f64 (*.f64 x y) y) |
| 7.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 100.0% | 1 | (*.f64 (*.f64 x y) y) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y))) |
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(exp.f64 x) |
(exp.f64 y) |
(exp.f64 (*.f64 x y)) |
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
(exp.f64 (*.f64 x y)) |
4 calls:
| 8.0ms | y |
| 8.0ms | x |
| 8.0ms | (*.f64 (*.f64 x y) y) |
| 7.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 1 | x |
| 92.7% | 2 | y |
| 94.0% | 3 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 94.0% | 3 | (*.f64 (*.f64 x y) y) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y))) |
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(exp.f64 x) |
(exp.f64 y) |
| Outputs |
|---|
(exp.f64 x) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y))) |
4 calls:
| 8.0ms | y |
| 8.0ms | x |
| 7.0ms | (*.f64 (*.f64 x y) y) |
| 6.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.9% | 3 | x |
| 82.4% | 3 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 86.2% | 4 | (*.f64 (*.f64 x y) y) |
| 78.3% | 3 | y |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y))) |
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (* (* x x) (+ (* (* 1/6 x) y) 1/2)) y) x) y) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y x) #s(literal 1/2 binary64)) x) x) y x) y))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y #s(literal 1/2 binary64))) y x) y #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/6 binary64) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) y x) y #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y))) |
2 calls:
| 7.0ms | (*.f64 (*.f64 x y) y) |
| 6.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 3 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 78.6% | 3 | (*.f64 (*.f64 x y) y) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) |
#s(approx (exp (* x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y x) x) #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) |
3 calls:
| 6.0ms | y |
| 5.0ms | (*.f64 (*.f64 x y) y) |
| 5.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.3% | 3 | y |
| 73.5% | 3 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 77.9% | 4 | (*.f64 (*.f64 x y) y) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y))) |
| Outputs |
|---|
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) |
1 calls:
| 4.0ms | (*.f64 (*.f64 x y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.8% | 4 | (*.f64 (*.f64 x y) y) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) |
2 calls:
| 4.0ms | x |
| 4.0ms | (*.f64 (*.f64 x y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.6% | 2 | x |
| 76.1% | 4 | (*.f64 (*.f64 x y) y) |
Compiled 6 to 6 computations (0% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) |
1 calls:
| 3.0ms | (*.f64 (*.f64 x y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 4 | (*.f64 (*.f64 x y) y) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) |
| Outputs |
|---|
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x))) |
1 calls:
| 3.0ms | (*.f64 (*.f64 x y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 4 | (*.f64 (*.f64 x y) y) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) |
3 calls:
| 3.0ms | y |
| 3.0ms | (*.f64 (*.f64 x y) y) |
| 2.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 3 | y |
| 69.8% | 3 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 73.3% | 4 | (*.f64 (*.f64 x y) y) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
3 calls:
| 3.0ms | x |
| 3.0ms | (*.f64 (*.f64 x y) y) |
| 2.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.7% | 2 | x |
| 67.5% | 3 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 67.5% | 3 | (*.f64 (*.f64 x y) y) |
Compiled 12 to 11 computations (8.3% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64))) |
4 calls:
| 3.0ms | y |
| 3.0ms | x |
| 2.0ms | (*.f64 (*.f64 x y) y) |
| 2.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.0% | 2 | x |
| 57.1% | 2 | y |
| 57.3% | 2 | (*.f64 (*.f64 x y) y) |
| 57.3% | 2 | (exp.f64 (*.f64 (*.f64 x y) y)) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x))) |
2 calls:
| 2.0ms | (*.f64 (*.f64 x y) y) |
| 2.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.3% | 2 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 57.3% | 2 | (*.f64 (*.f64 x y) y) |
Compiled 11 to 9 computations (18.2% saved)
Total -13.7b remaining (-42.3%)
Threshold costs -13.7b (-42.3%)
| Inputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
4 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x y) y) |
| 2.0ms | (exp.f64 (*.f64 (*.f64 x y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.6% | 1 | x |
| 49.6% | 1 | y |
| 49.6% | 1 | (exp.f64 (*.f64 (*.f64 x y) y)) |
| 49.6% | 1 | (*.f64 (*.f64 x y) y) |
Compiled 13 to 13 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.427091187958981e-113 | 5.1315479275858575e-108 |
| 7.0ms | 144× | 0 | valid |
Compiled 108 to 118 computations (-9.3% saved)
ival-mult: 2.0ms (61.3% of total)ival-exp: 1.0ms (30.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.34895154292685837 | 499.9388375042012 |
| 0.0ms | -867520.3929740092 | -1.9908714860323375e-18 |
| 0.0ms | -1.3008626466936848e+289 | -1.902272314520146e+277 |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.34895154292685837 | 499.9388375042012 |
| 0.0ms | -867520.3929740092 | -1.9908714860323375e-18 |
Compiled 9 to 10 computations (-11.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.996475199032205e+246 | 1.1282468998986967e+254 |
| 0.0ms | 0.34895154292685837 | 499.9388375042012 |
| 0.0ms | -867520.3929740092 | -1.9908714860323375e-18 |
Compiled 9 to 10 computations (-11.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.996475199032205e+246 | 1.1282468998986967e+254 |
| 0.0ms | 0.34895154292685837 | 499.9388375042012 |
| 0.0ms | -867520.3929740092 | -1.9908714860323375e-18 |
Compiled 9 to 10 computations (-11.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.996475199032205e+246 | 1.1282468998986967e+254 |
| 0.0ms | 0.34895154292685837 | 499.9388375042012 |
| 0.0ms | -867520.3929740092 | -1.9908714860323375e-18 |
Compiled 9 to 10 computations (-11.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.996475199032205e+246 | 1.1282468998986967e+254 |
| 0.0ms | 0.34895154292685837 | 499.9388375042012 |
| 0.0ms | -867520.3929740092 | -1.9908714860323375e-18 |
Compiled 9 to 10 computations (-11.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.996475199032205e+246 | 1.1282468998986967e+254 |
| 0.0ms | 0.34895154292685837 | 499.9388375042012 |
| 0.0ms | -867520.3929740092 | -1.9908714860323375e-18 |
Compiled 9 to 10 computations (-11.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.996475199032205e+246 | 1.1282468998986967e+254 |
| 0.0ms | 0.34895154292685837 | 499.9388375042012 |
| 0.0ms | -867520.3929740092 | -1.9908714860323375e-18 |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.417580496875836 | 1.320317614226969e+217 |
| 0.0ms | 0.0 | 1.0 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.34895154292685837 | 499.9388375042012 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.34895154292685837 | 499.9388375042012 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 882 |
| 1 | 134 | 882 |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
(if (<=.f64 y #s(literal 6092291808370931/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (exp.f64 (*.f64 x y))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) (exp.f64 x) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y)))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))))) |
(if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 0 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))) |
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (*.f64 x y) y)) |
(exp.f64 (*.f64 (*.f64 y x) y)) |
(if (<=.f64 y #s(literal 6092291808370931/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (exp.f64 (*.f64 x y))) |
(if (<=.f64 y #s(literal 6092291808370931/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (exp.f64 (*.f64 y x))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) (exp.f64 x) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y)))))) |
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) (exp.f64 x) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64)) y) x) x) y)))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) x) y))))) |
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) #s(approx (exp (* x y)) #s(approx (+ (* (+ (* (+ (* 1/6 (* (* y x) (* x x))) (* (* 1/2 x) x)) y) x) y) 1) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) x #s(literal 1/2 binary64)) y) x) x) y))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))) |
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))) |
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))) |
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))) |
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) (fma.f64 (*.f64 y x) y #s(literal 1 binary64))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))) |
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (exp (* (* x y) y)) #s(approx (+ (* (* y x) y) 1) (*.f64 (*.f64 y y) x)))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))))) |
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal -500000 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (exp y) #s(approx (+ (* (+ (* 1/2 y) 1) y) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))))))) |
(if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 0 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (if (<=.f64 (exp.f64 (*.f64 (*.f64 x y) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))) |
(if (<=.f64 (exp.f64 (*.f64 (*.f64 y x) y)) #s(literal 0 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (if (<=.f64 (exp.f64 (*.f64 (*.f64 y x) y)) #s(literal 2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) (fma.f64 y x #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))) |
(if (<=.f64 (*.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) #s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) #s(approx (exp (* x y)) #s(approx (+ (* y x) 1) (*.f64 y x)))) |
#s(approx (exp (* (* x y) y)) #s(literal 1 binary64)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 1939 |
| 1 | 783 | 1882 |
| 2 | 2686 | 1811 |
| 3 | 7475 | 1811 |
| 0 | 8030 | 1633 |
| 0 | 5 | 14 |
| 0 | 8 | 12 |
| 1 | 14 | 12 |
| 2 | 29 | 12 |
| 3 | 92 | 12 |
| 4 | 482 | 3 |
| 5 | 3914 | 3 |
| 0 | 9072 | 3 |
| 0 | 223 | 1965 |
| 1 | 752 | 1900 |
| 2 | 2591 | 1851 |
| 3 | 7193 | 1849 |
| 0 | 8040 | 1660 |
| 0 | 106 | 920 |
| 1 | 318 | 920 |
| 2 | 797 | 908 |
| 3 | 1922 | 900 |
| 4 | 3022 | 892 |
| 5 | 5032 | 892 |
| 0 | 8248 | 828 |
| 0 | 44 | 392 |
| 1 | 120 | 392 |
| 2 | 328 | 388 |
| 3 | 803 | 384 |
| 4 | 1106 | 380 |
| 5 | 1234 | 380 |
| 6 | 1314 | 380 |
| 7 | 1337 | 380 |
| 8 | 1351 | 380 |
| 9 | 2752 | 380 |
| 10 | 3337 | 380 |
| 11 | 4128 | 380 |
| 12 | 5124 | 380 |
| 13 | 5145 | 380 |
| 14 | 5145 | 380 |
| 15 | 5378 | 380 |
| 16 | 5378 | 380 |
| 17 | 5378 | 380 |
| 18 | 5378 | 380 |
| 19 | 6827 | 380 |
| 20 | 6827 | 380 |
| 0 | 6827 | 368 |
| 0 | 26 | 137 |
| 0 | 47 | 137 |
| 1 | 190 | 137 |
| 2 | 1466 | 137 |
| 0 | 8199 | 137 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 716 to 315 computations (56% saved)
(abs y)
Compiled 1 034 to 200 computations (80.7% saved)
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