
Time bar (total: 21.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 8 to 7 computations (12.5% saved)
| 694.0ms | 8 256× | 0 | valid |
ival-mult: 248.0ms (71.4% of total)ival-exp: 91.0ms (26.2% of total)ival-true: 6.0ms (1.7% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 y y)) |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | (*.f64 x (exp.f64 (*.f64 y y))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 64.0ms | 512× | 0 | valid |
Compiled 55 to 24 computations (56.4% saved)
ival-mult: 24.0ms (85.5% of total)ival-exp: 4.0ms (14.3% 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 | 32 |
| 1 | 49 | 32 |
| 2 | 99 | 32 |
| 3 | 216 | 32 |
| 4 | 362 | 32 |
| 5 | 517 | 32 |
| 6 | 603 | 32 |
| 7 | 640 | 32 |
| 8 | 674 | 32 |
| 9 | 681 | 32 |
| 10 | 685 | 32 |
| 11 | 686 | 32 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 11 | 6 |
| 0 | 11 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
| Outputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(abs y)
(negabs x)
Compiled 6 to 5 computations (16.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 x (exp.f64 (*.f64 y y))) |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -6144 | (exp.f64 (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x (exp.f64 (*.f64 y y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 11 | 15 |
| 0 | 11 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
x |
(exp.f64 (*.f64 y y)) |
(*.f64 y y) |
y |
| Outputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
x |
(exp.f64 (*.f64 y y)) |
(pow.f64 (exp.f64 y) y) |
(*.f64 y y) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 x (exp.f64 (*.f64 y y))) | |
| accuracy | 0.006191259768442017 | (exp.f64 (*.f64 y y)) |
| 58.0ms | 256× | 0 | valid |
Compiled 32 to 12 computations (62.5% saved)
ival-exp: 4.0ms (54.5% of total)ival-mult: 3.0ms (40.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
(*.f64 y y) |
(exp.f64 (*.f64 y y)) |
| Outputs |
|---|
(* x (exp (pow y 2))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
(pow y 2) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) |
(exp (pow y 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | ((* x (exp (* y y))) (* y y) (exp (* y y))) |
| 1.0ms | x | @ | 0 | ((* x (exp (* y y))) (* y y) (exp (* y y))) |
| 1.0ms | y | @ | inf | ((* x (exp (* y y))) (* y y) (exp (* y y))) |
| 1.0ms | x | @ | inf | ((* x (exp (* y y))) (* y y) (exp (* y y))) |
| 1.0ms | x | @ | -inf | ((* x (exp (* y y))) (* y y) (exp (* y y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 97 |
| 1 | 95 | 97 |
| 2 | 276 | 91 |
| 3 | 750 | 89 |
| 4 | 989 | 89 |
| 5 | 1161 | 89 |
| 6 | 1318 | 89 |
| 7 | 1436 | 89 |
| 8 | 1436 | 87 |
| 9 | 1767 | 87 |
| 10 | 1800 | 87 |
| 11 | 1801 | 87 |
| 12 | 1823 | 87 |
| 0 | 1823 | 75 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (exp (pow y 2))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
(pow y 2) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) |
(exp (pow y 2)) |
| Outputs |
|---|
(* x (exp (pow y 2))) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
x |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64)))) x) |
(pow y 2) |
(*.f64 y y) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(exp (pow y 2)) |
(pow.f64 (exp.f64 y) y) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 13 | 13 |
| 2 | 26 | 13 |
| 3 | 69 | 13 |
| 4 | 294 | 5 |
| 0 | 2666 | 5 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
(*.f64 y y) |
(exp.f64 (*.f64 y y)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
y |
#s(literal 0 binary64) |
#s(literal 1 binary64) |
Compiled 171 to 47 computations (72.5% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 13 | 4 | 17 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 13 | 5 | 18 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 x (exp.f64 (*.f64 y y))) |
| ▶ | 99.1% | (*.f64 x (exp.f64 y)) |
| ▶ | 81.3% | (*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
| ▶ | 100.0% | (*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
| ▶ | 48.4% | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
Compiled 40 to 32 computations (20% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 y) | |
| cost-diff | 0 | (*.f64 x (exp.f64 y)) | |
| cost-diff | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (exp.f64 y) | |
| cost-diff | 0 | (pow.f64 (exp.f64 y) y) | |
| cost-diff | 0 | #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) | |
| cost-diff | 0 | #s(approx (exp (* y y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 79 |
| 0 | 22 | 79 |
| 1 | 30 | 79 |
| 0 | 30 | 79 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
x |
#s(approx (exp (* y y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
x |
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) |
(pow.f64 (exp.f64 y) y) |
(exp.f64 y) |
y |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
x |
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 x (exp.f64 y)) |
x |
(exp.f64 y) |
y |
| Outputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) |
x |
#s(approx (exp (* y y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
(*.f64 #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) x) |
x |
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) |
(pow.f64 (exp.f64 y) y) |
(exp.f64 y) |
y |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x) |
x |
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 x (exp.f64 y)) |
(*.f64 (exp.f64 y) x) |
x |
(exp.f64 y) |
y |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 y) | |
| accuracy | 0.01953125 | (*.f64 x (exp.f64 y)) | |
| accuracy | 0.0 | (fma.f64 y y #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) | |
| accuracy | 16.29694185280476 | #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) | |
| accuracy | 0.0 | (exp.f64 y) | |
| accuracy | 0.0 | #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) | |
| accuracy | 0.00390625 | (pow.f64 (exp.f64 y) y) | |
| accuracy | 0.0 | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) | |
| accuracy | 33.25128313715457 | #s(approx (exp (* y y)) #s(literal 1 binary64)) |
| 24.0ms | 256× | 0 | valid |
Compiled 137 to 27 computations (80.3% saved)
ival-mult: 5.0ms (34.8% of total)ival-pow: 4.0ms (27.8% of total)ival-exp: 3.0ms (20.9% of total)ival-add: 1.0ms (7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (exp (* y y)) #s(literal 1 binary64)) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) |
(pow.f64 (exp.f64 y) y) |
(exp.f64 y) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
(*.f64 x (exp.f64 y)) |
| Outputs |
|---|
(* x (exp (pow y 2))) |
(* x (exp y)) |
x |
(+ x (* x (pow y 2))) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(+ x (* x y)) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
(exp (pow y 2)) |
(exp y) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | ((* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x (exp y))) |
| 1.0ms | x | @ | -inf | ((* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x (exp y))) |
| 1.0ms | x | @ | 0 | ((* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x (exp y))) |
| 1.0ms | y | @ | inf | ((* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x (exp y))) |
| 1.0ms | y | @ | -inf | ((* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* x (exp y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 166 |
| 1 | 186 | 166 |
| 2 | 472 | 158 |
| 3 | 1129 | 156 |
| 4 | 1606 | 156 |
| 5 | 2138 | 156 |
| 6 | 3048 | 156 |
| 7 | 3597 | 156 |
| 8 | 3852 | 156 |
| 9 | 4183 | 156 |
| 10 | 4869 | 156 |
| 11 | 5495 | 156 |
| 12 | 6671 | 156 |
| 13 | 7961 | 156 |
| 0 | 8029 | 132 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (exp (pow y 2))) |
(* x (exp y)) |
x |
(+ x (* x (pow y 2))) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(+ x (* x y)) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
(exp (pow y 2)) |
(exp y) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
| Outputs |
|---|
(* x (exp (pow y 2))) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(* x (exp y)) |
(*.f64 (exp.f64 y) x) |
x |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) x (/.f64 x y)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #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 (* x y)) |
(fma.f64 y x x) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
(*.f64 (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) |
(exp (pow y 2)) |
(pow.f64 (exp.f64 y) y) |
(exp y) |
(exp.f64 y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 68 |
| 0 | 22 | 68 |
| 1 | 51 | 68 |
| 2 | 197 | 68 |
| 0 | 1372 | 68 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (exp (* y y)) #s(literal 1 binary64)) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) |
(pow.f64 (exp.f64 y) y) |
(exp.f64 y) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
(*.f64 x (exp.f64 y)) |
| Outputs |
|---|
(*.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (exp (* y y)) #s(literal 1 binary64)) |
(*.f64 #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) x) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) |
(*.f64 (*.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 y y)) |
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 y) y) |
(pow.f64 (pow.f64 (exp.f64 y) y) #s(literal 1 binary64)) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (*.f64 (*.f64 #s(literal 1/2 binary64) y) y))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 y y)) |
(exp.f64 y) |
(*.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 6 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (exp.f64 y) x) |
(*.f64 x (exp.f64 y)) |
Compiled 2 364 to 472 computations (80% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 113 | 6 | 119 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 113 | 11 | 124 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 x (exp.f64 (*.f64 y y))) |
| ✓ | 99.1% | (*.f64 x (exp.f64 y)) |
| ✓ | 81.3% | (*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
| ✓ | 100.0% | (*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
| 99.6% | (*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) | |
| ▶ | 100.0% | (*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)))))) |
| ▶ | 37.1% | (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
| ✓ | 48.4% | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
| ▶ | 87.9% | (*.f64 x #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)))) |
| ▶ | 62.2% | (*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
| ▶ | 62.2% | #s(approx (* x (exp y)) (fma.f64 y x x)) |
Compiled 220 to 152 computations (30.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (*.f64 x #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 | (*.f64 y y) | |
| cost-diff | 0 | #s(approx (+ (* y y) 1) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) | |
| cost-diff | 0 | (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) | |
| 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 | (*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | #s(approx (* x (exp y)) (fma.f64 y x x)) | |
| cost-diff | 0 | #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))))) | |
| cost-diff | 0 | (*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)))))) | |
| cost-diff | 13824 | (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))) | |
| cost-diff | 26112 | (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 242 |
| 0 | 56 | 242 |
| 1 | 82 | 227 |
| 2 | 101 | 221 |
| 3 | 160 | 201 |
| 4 | 318 | 189 |
| 5 | 467 | 189 |
| 6 | 881 | 189 |
| 7 | 1457 | 188 |
| 8 | 1682 | 187 |
| 9 | 1962 | 186 |
| 10 | 4363 | 186 |
| 11 | 5161 | 186 |
| 12 | 6260 | 186 |
| 0 | 8357 | 183 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)))))) |
x |
#s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)))) |
(pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) |
(exp.f64 y) |
y |
(*.f64 y #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))) |
(pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
x |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
x |
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) |
#s(approx (+ (* y y) 1) (*.f64 y y)) |
(*.f64 y y) |
y |
(*.f64 x #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)))) |
x |
#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 |
|---|
(*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)))))) |
(*.f64 #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) x) |
x |
#s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))))) |
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)))) |
(pow.f64 (exp.f64 y) y) |
(pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) y) y) |
(exp.f64 y) |
y |
(*.f64 y #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) y) |
#s(literal 1/4 binary64) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))) |
(pow.f64 (pow.f64 (exp.f64 y) y) #s(literal 3/4 binary64)) |
(pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)) |
(sqrt.f64 (pow.f64 (exp.f64 y) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) x) |
x |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
(*.f64 #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x) |
x |
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) |
#s(approx (+ (* y y) 1) (*.f64 y y)) |
(*.f64 y y) |
y |
(*.f64 x #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)))) |
(*.f64 #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))) x) |
x |
#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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05859375 | (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 | 0.05859375 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 0.20703125 | (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) | |
| accuracy | 10.809671539428662 | #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 | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) | |
| accuracy | 16.29694185280476 | #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) | |
| accuracy | 28.7910869595916 | #s(approx (+ (* y y) 1) (*.f64 y y)) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.01953125 | (*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 32.55985531081379 | #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0 | (fma.f64 y x x) | |
| accuracy | 23.907556320814024 | #s(approx (* x (exp y)) (fma.f64 y x x)) | |
| accuracy | 0.0 | (exp.f64 y) | |
| accuracy | 0.0 | #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))))) | |
| accuracy | 0.00390625 | (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0.00390625 | (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))) |
| 14.2s | 256× | 0 | valid |
Compiled 392 to 64 computations (83.7% saved)
ival-mult: 16.0ms (40.4% of total)ival-pow: 9.0ms (22.7% of total)ival-add: 6.0ms (15.2% of total)ival-exp: 5.0ms (12.6% of total)const: 4.0ms (10.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)))))) |
#s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) |
#s(approx (+ (* y y) 1) (*.f64 y y)) |
(*.f64 y y) |
(*.f64 x #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 #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)) |
(pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)) |
(exp.f64 y) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
| Outputs |
|---|
(* x (exp (pow y 2))) |
(* x (exp y)) |
(* x (+ 1 y)) |
(* -1 (* x (- (* -1 y) 1))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) |
(+ 1 (* 3/4 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 3/4 (* 9/32 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 3/4 (* (pow y 2) (+ 9/32 (* 9/128 (pow y 2))))))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
(+ x (* x y)) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(pow y 2) |
(+ 1 (* 1/2 y)) |
(+ 1 (* y (+ 1/2 (* 1/6 y)))) |
(+ 1 (* 1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/2 (* 1/8 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 1/8 (* 1/48 (pow y 2))))))) |
1/2 |
(+ 1/2 (* 1/6 y)) |
(* (pow (exp (* 1/4 (pow y 2))) 2) (exp (* 1/2 (pow y 2)))) |
(* (exp (* 1/4 (pow y 2))) (exp (* 1/2 (pow y 2)))) |
(exp (pow y 2)) |
(* x y) |
(* y (+ x (/ x y))) |
(exp y) |
y |
(* y (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* 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))))) |
(exp (* 1/2 (pow y 2))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x 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))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((* (pow (exp y) (* y 1/4)) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y)))) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y))) (* x (exp (* y y))) (exp (* y y)) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (exp y) (+ 1 y) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* y y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (pow (exp y) (* 1/2 y)) (exp y) (+ (* 1/6 y) 1/2)) |
| 2.0ms | y | @ | -inf | ((* (pow (exp y) (* y 1/4)) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y)))) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y))) (* x (exp (* y y))) (exp (* y y)) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (exp y) (+ 1 y) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* y y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (pow (exp y) (* 1/2 y)) (exp y) (+ (* 1/6 y) 1/2)) |
| 2.0ms | y | @ | 0 | ((* (pow (exp y) (* y 1/4)) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y)))) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y))) (* x (exp (* y y))) (exp (* y y)) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (exp y) (+ 1 y) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* y y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (pow (exp y) (* 1/2 y)) (exp y) (+ (* 1/6 y) 1/2)) |
| 1.0ms | x | @ | -inf | ((* (pow (exp y) (* y 1/4)) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y)))) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y))) (* x (exp (* y y))) (exp (* y y)) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (exp y) (+ 1 y) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* y y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (pow (exp y) (* 1/2 y)) (exp y) (+ (* 1/6 y) 1/2)) |
| 1.0ms | x | @ | inf | ((* (pow (exp y) (* y 1/4)) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y)))) (* (pow (exp y) (* y 1/4)) (pow (exp y) (* 1/2 y))) (* x (exp (* y y))) (exp (* y y)) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (exp y) (+ 1 y) (* x (exp (* y y))) (exp (* y y)) (+ (* y y) 1) (* y y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (pow (exp y) (* 1/2 y)) (exp y) (+ (* 1/6 y) 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 414 |
| 1 | 449 | 398 |
| 2 | 1228 | 389 |
| 3 | 3604 | 389 |
| 4 | 6677 | 389 |
| 0 | 8227 | 330 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (exp (pow y 2))) |
(* x (exp y)) |
(* x (+ 1 y)) |
(* -1 (* x (- (* -1 y) 1))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) |
(+ 1 (* 3/4 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 3/4 (* 9/32 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 3/4 (* (pow y 2) (+ 9/32 (* 9/128 (pow y 2))))))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
(+ x (* x y)) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(pow y 2) |
(+ 1 (* 1/2 y)) |
(+ 1 (* y (+ 1/2 (* 1/6 y)))) |
(+ 1 (* 1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/2 (* 1/8 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 1/8 (* 1/48 (pow y 2))))))) |
1/2 |
(+ 1/2 (* 1/6 y)) |
(* (pow (exp (* 1/4 (pow y 2))) 2) (exp (* 1/2 (pow y 2)))) |
(* (exp (* 1/4 (pow y 2))) (exp (* 1/2 (pow y 2)))) |
(exp (pow y 2)) |
(* x y) |
(* y (+ x (/ x y))) |
(exp y) |
y |
(* y (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(* 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))))) |
(exp (* 1/2 (pow y 2))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x 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))) |
| Outputs |
|---|
(* x (exp (pow y 2))) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(* x (exp y)) |
(*.f64 (exp.f64 y) x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) y) y #s(literal 1 binary64)) |
(+ 1 (* 3/4 (pow y 2))) |
(fma.f64 #s(literal 3/4 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 3/4 (* 9/32 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 9/32 binary64) (*.f64 y y) #s(literal 3/4 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 3/4 (* (pow y 2) (+ 9/32 (* 9/128 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/128 binary64) (*.f64 y y) #s(literal 9/32 binary64)) (*.f64 y y) #s(literal 3/4 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
x |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) x) y x) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 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)) |
(pow y 2) |
(*.f64 y y) |
(+ 1 (* 1/2 y)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1/2 (* 1/6 y)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* 1/2 (pow y 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/2 (* 1/8 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 1/8 (* 1/48 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 y y) #s(literal 1/8 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 y)) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
(* (pow (exp (* 1/4 (pow y 2))) 2) (exp (* 1/2 (pow y 2)))) |
(pow.f64 (exp.f64 y) y) |
(* (exp (* 1/4 (pow y 2))) (exp (* 1/2 (pow y 2)))) |
(pow.f64 (pow.f64 (exp.f64 y) y) #s(literal 3/4 binary64)) |
(exp (pow y 2)) |
(pow.f64 (exp.f64 y) y) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(exp y) |
(exp.f64 y) |
y |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(* 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 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(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)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(exp (* 1/2 (pow y 2))) |
(sqrt.f64 (pow.f64 (exp.f64 y) y)) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6))) |
(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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 214 |
| 0 | 56 | 202 |
| 1 | 172 | 176 |
| 2 | 1029 | 158 |
| 0 | 8376 | 155 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)))))) |
#s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y))))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
#s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) |
#s(approx (+ (* y y) 1) (*.f64 y y)) |
(*.f64 y y) |
(*.f64 x #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 #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)) |
(pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)) |
(exp.f64 y) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) y) (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))) (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))) (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) y))) (pow.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) y))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))) (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64))))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 3/4 binary64))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) y)) |
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (sqrt.f64 (exp.f64 y)) y)) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) y) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 3/4 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 y y)) |
(pow.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 (exp.f64 y)) (sqrt.f64 (exp.f64 y))) y) |
(pow.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) y)) |
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) y)) |
(pow.f64 (sqrt.f64 (exp.f64 y)) (+.f64 y y)) |
(pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) y))) |
(pow.f64 (exp.f64 y) y) |
(pow.f64 (pow.f64 (exp.f64 y) y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) y) #s(literal 4 binary64)) |
(exp.f64 (fma.f64 (*.f64 y y) #s(literal 3/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) |
(exp.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 3/4 binary64)))) |
(exp.f64 (*.f64 y y)) |
(*.f64 (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) y))) (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) y))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) y))))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))) (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) y)) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) y) (pow.f64 (sqrt.f64 (exp.f64 y)) y)) |
(pow.f64 (*.f64 (sqrt.f64 (exp.f64 y)) (pow.f64 (exp.f64 y) #s(literal 1/4 binary64))) y) |
(pow.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y) (pow.f64 (exp.f64 y) y)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 (exp.f64 y) y) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 (exp.f64 y))) y) |
(pow.f64 (*.f64 (exp.f64 y) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) y)) |
(pow.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (exp.f64 y)) (*.f64 #s(literal 1/4 binary64) y)) |
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 y) (*.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (fma.f64 y #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) y))) |
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) y (*.f64 y #s(literal 1/8 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 y) (fma.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 y) (*.f64 y #s(literal 3/4 binary64))) |
(pow.f64 (pow.f64 (exp.f64 y) y) #s(literal 3/4 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)) y) #s(literal 3 binary64)) |
(exp.f64 (*.f64 (*.f64 y y) #s(literal 3/4 binary64))) |
(*.f64 #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) x) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
#s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) |
#s(approx (* x (exp y)) (fma.f64 x y x)) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 x y) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x y)))) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x y) y (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x y) x)))) |
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 (*.f64 x y) y (-.f64 x (*.f64 x y))))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x y) y (neg.f64 x))) (pow.f64 (-.f64 (*.f64 x y) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x y) y (-.f64 x (*.f64 x y)))) (*.f64 (fma.f64 x y x) (pow.f64 (*.f64 x (fma.f64 (*.f64 x y) y (-.f64 x (*.f64 x y)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) y))))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) y)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 y y) #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) y))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/10077696 binary64) (pow.f64 y #s(literal 9 binary64)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/1728 binary64)))) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) y))))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/36 binary64) y) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) y))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) y)))))) |
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.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)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) |
Compiled 12 010 to 2 125 computations (82.3% saved)
17 alts after pruning (9 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 459 | 9 | 468 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 462 | 17 | 479 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 x (exp.f64 (*.f64 y y))) |
| ✓ | 99.1% | (*.f64 x (exp.f64 y)) |
| ✓ | 81.3% | (*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
| ✓ | 100.0% | (*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
| ▶ | 100.0% | (*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))))) |
| ✓ | 37.1% | (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
| ✓ | 48.4% | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
| 87.9% | (*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) | |
| ▶ | 88.3% | (*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
| ✓ | 62.2% | (*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
| 44.7% | (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))) | |
| 44.2% | (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) | |
| 92.2% | #s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) x)) | |
| ▶ | 87.4% | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)) |
| ▶ | 83.1% | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
| ✓ | 62.2% | #s(approx (* x (exp y)) (fma.f64 y x x)) |
| ▶ | 19.0% | #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
Compiled 459 to 317 computations (30.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) | |
| cost-diff | 0 | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (* y x) x) (*.f64 x y)) | |
| cost-diff | 0 | #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) | |
| cost-diff | 0 | (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))) | |
| cost-diff | 0 | #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))))) | |
| cost-diff | 0 | (*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))))) | |
| cost-diff | 384 | (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 312 |
| 0 | 71 | 297 |
| 1 | 120 | 297 |
| 2 | 185 | 297 |
| 3 | 351 | 297 |
| 4 | 708 | 297 |
| 5 | 1082 | 297 |
| 6 | 1288 | 297 |
| 7 | 1288 | 297 |
| 8 | 1288 | 297 |
| 9 | 1306 | 297 |
| 10 | 1307 | 297 |
| 11 | 1308 | 297 |
| 0 | 1308 | 287 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))))) |
x |
#s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))))) |
(*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))) |
(pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) |
(exp.f64 y) |
y |
(fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64))) |
#s(literal 1/8 binary64) |
(*.f64 y #s(literal 3/4 binary64)) |
#s(literal 3/4 binary64) |
(pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))) |
(*.f64 y #s(literal 1/8 binary64)) |
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
#s(approx (+ (* y x) x) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
x |
#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) |
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) |
x |
(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(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
(*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))))) |
(*.f64 #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/8 binary64) y)) (pow.f64 (exp.f64 y) (*.f64 #s(literal 7/8 binary64) y)))) x) |
x |
#s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))))) |
#s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/8 binary64) y)) (pow.f64 (exp.f64 y) (*.f64 #s(literal 7/8 binary64) y)))) |
(*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/8 binary64) y)) (pow.f64 (exp.f64 y) (*.f64 #s(literal 7/8 binary64) y))) |
(pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) |
(pow.f64 (exp.f64 y) (*.f64 #s(literal 7/8 binary64) y)) |
(exp.f64 y) |
y |
(fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64))) |
(*.f64 #s(literal 7/8 binary64) y) |
#s(literal 1/8 binary64) |
(*.f64 y #s(literal 3/4 binary64)) |
(*.f64 #s(literal 3/4 binary64) y) |
#s(literal 3/4 binary64) |
(pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))) |
(pow.f64 (exp.f64 y) (*.f64 #s(literal 1/8 binary64) y)) |
(*.f64 y #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) y) |
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ (* y x) x) (*.f64 x y)) |
#s(approx (+ (* y x) x) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))) x) |
x |
#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))) |
#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y x) y x)) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y x) y x) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y x) |
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) |
x |
(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(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) (*.f64 y x) x)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) (*.f64 y x) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0390625 | (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x) | |
| accuracy | 4.265658044880277 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) | |
| accuracy | 8.062472903210127 | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)) | |
| accuracy | 0.06640625 | (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) | |
| accuracy | 0.0859375 | (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) | |
| accuracy | 0.20703125 | (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) | |
| accuracy | 10.452728686152263 | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) | |
| accuracy | 0.05859375 | (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)) | |
| accuracy | 0.15625 | (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) | |
| accuracy | 10.809671539428662 | #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))) | |
| accuracy | 29.14054914791962 | #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 23.907556320814024 | #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) | |
| accuracy | 28.603256652109334 | #s(approx (+ (* y x) x) (*.f64 x y)) | |
| accuracy | 0.0 | (exp.f64 y) | |
| accuracy | 0.0 | #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))))) | |
| accuracy | 0.00390625 | (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) | |
| accuracy | 0.16796875 | (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64))) |
| 123.0ms | 256× | 0 | valid |
Compiled 524 to 88 computations (83.2% saved)
ival-pow: 54.0ms (52.4% of total)ival-mult: 28.0ms (27.2% of total)ival-add: 9.0ms (8.7% of total)ival-exp: 7.0ms (6.8% of total)const: 4.0ms (3.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64))) |
(*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))))) |
#s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))))) |
(*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
#s(approx (+ (* y x) x) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) |
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) |
(exp.f64 y) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x) |
| Outputs |
|---|
(* x (exp (pow y 2))) |
(* x (exp y)) |
(* x (+ 1 y)) |
(* x y) |
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))) |
(* x (+ 1 (* y (+ 1/2 (* 1/6 y))))) |
(* x (+ 1/2 (* 1/6 y))) |
(* x (+ 1 (* 1/2 (pow y 2)))) |
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1))) |
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) 1))) |
(* 7/8 y) |
x |
(+ x (* x (pow y 2))) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) |
(+ x (* x y)) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(+ 1 (* 1/2 y)) |
(+ 1 (* y (+ 1/2 (* 1/6 y)))) |
(+ x (* 1/2 (* x y))) |
(+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))) |
(* 1/2 x) |
(+ (* 1/6 (* x y)) (* 1/2 x)) |
(+ x (* 1/2 (* x (pow y 2)))) |
(+ 1 (* 1/2 (pow y 2))) |
(pow y 2) |
(+ 1 (* 7/8 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 7/8 (* 49/128 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 7/8 (* (pow y 2) (+ 49/128 (* 343/3072 (pow y 2))))))) |
(* 1/6 (pow y 2)) |
1/2 |
(+ 1/2 (* 1/6 y)) |
(exp (pow y 2)) |
(* (exp (* 1/8 (pow y 2))) (exp (* 7/8 (pow y 2)))) |
(* y (+ x (/ x 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)))))) |
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y)))) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* 1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (+ (/ x (pow y 2)) (/ x (pow y 3)))))) |
(* 1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(* (pow y 2) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2))))) |
(* 1/6 (* x y)) |
(* y (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(* 1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2)))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2)))) |
(exp (* 7/8 (pow y 2))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* 1/2 (* x (pow y 4))) |
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2)))) |
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x 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 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ x y)) y)) (* -1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* -1/6 x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 x)) y)) (* 1/6 x))) |
(* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | 0 | ((+ (* y 1/8) (* y 3/4)) (* x (exp (* y y))) (exp (* y y)) (* (pow (exp y) (+ (* y 1/8) (* y 3/4))) (pow (exp y) (* y 1/8))) (* x (exp y)) (+ (* y x) x) (* x y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (* x (exp (* y y))) (* (+ (* 1/2 (* y y)) 1) x) (+ (* 1/2 (* y y)) 1) (* y y) (pow (exp y) (+ (* y 1/8) (* y 3/4))) (exp y) (* 1/6 (* y y)) (+ (* 1/6 y) 1/2) (+ (* (* (+ (* 1/2 (* y y)) 1) x) (* y y)) x)) |
| 5.0ms | x | @ | inf | ((+ (* y 1/8) (* y 3/4)) (* x (exp (* y y))) (exp (* y y)) (* (pow (exp y) (+ (* y 1/8) (* y 3/4))) (pow (exp y) (* y 1/8))) (* x (exp y)) (+ (* y x) x) (* x y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (* x (exp (* y y))) (* (+ (* 1/2 (* y y)) 1) x) (+ (* 1/2 (* y y)) 1) (* y y) (pow (exp y) (+ (* y 1/8) (* y 3/4))) (exp y) (* 1/6 (* y y)) (+ (* 1/6 y) 1/2) (+ (* (* (+ (* 1/2 (* y y)) 1) x) (* y y)) x)) |
| 4.0ms | x | @ | -inf | ((+ (* y 1/8) (* y 3/4)) (* x (exp (* y y))) (exp (* y y)) (* (pow (exp y) (+ (* y 1/8) (* y 3/4))) (pow (exp y) (* y 1/8))) (* x (exp y)) (+ (* y x) x) (* x y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (* x (exp (* y y))) (* (+ (* 1/2 (* y y)) 1) x) (+ (* 1/2 (* y y)) 1) (* y y) (pow (exp y) (+ (* y 1/8) (* y 3/4))) (exp y) (* 1/6 (* y y)) (+ (* 1/6 y) 1/2) (+ (* (* (+ (* 1/2 (* y y)) 1) x) (* y y)) x)) |
| 4.0ms | x | @ | 0 | ((+ (* y 1/8) (* y 3/4)) (* x (exp (* y y))) (exp (* y y)) (* (pow (exp y) (+ (* y 1/8) (* y 3/4))) (pow (exp y) (* y 1/8))) (* x (exp y)) (+ (* y x) x) (* x y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (* x (exp (* y y))) (* (+ (* 1/2 (* y y)) 1) x) (+ (* 1/2 (* y y)) 1) (* y y) (pow (exp y) (+ (* y 1/8) (* y 3/4))) (exp y) (* 1/6 (* y y)) (+ (* 1/6 y) 1/2) (+ (* (* (+ (* 1/2 (* y y)) 1) x) (* y y)) x)) |
| 4.0ms | y | @ | inf | ((+ (* y 1/8) (* y 3/4)) (* x (exp (* y y))) (exp (* y y)) (* (pow (exp y) (+ (* y 1/8) (* y 3/4))) (pow (exp y) (* y 1/8))) (* x (exp y)) (+ (* y x) x) (* x y) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (* x (exp (* y y))) (* (+ (* 1/2 (* y y)) 1) x) (+ (* 1/2 (* y y)) 1) (* y y) (pow (exp y) (+ (* y 1/8) (* y 3/4))) (exp y) (* 1/6 (* y y)) (+ (* 1/6 y) 1/2) (+ (* (* (+ (* 1/2 (* y y)) 1) x) (* y y)) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 763 |
| 1 | 669 | 755 |
| 2 | 2092 | 718 |
| 3 | 5877 | 714 |
| 0 | 8215 | 624 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (exp (pow y 2))) |
(* x (exp y)) |
(* x (+ 1 y)) |
(* x y) |
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))) |
(* x (+ 1 (* y (+ 1/2 (* 1/6 y))))) |
(* x (+ 1/2 (* 1/6 y))) |
(* x (+ 1 (* 1/2 (pow y 2)))) |
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1))) |
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) 1))) |
(* 7/8 y) |
x |
(+ x (* x (pow y 2))) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) |
(+ x (* x y)) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(+ 1 (* 1/2 y)) |
(+ 1 (* y (+ 1/2 (* 1/6 y)))) |
(+ x (* 1/2 (* x y))) |
(+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))) |
(* 1/2 x) |
(+ (* 1/6 (* x y)) (* 1/2 x)) |
(+ x (* 1/2 (* x (pow y 2)))) |
(+ 1 (* 1/2 (pow y 2))) |
(pow y 2) |
(+ 1 (* 7/8 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 7/8 (* 49/128 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 7/8 (* (pow y 2) (+ 49/128 (* 343/3072 (pow y 2))))))) |
(* 1/6 (pow y 2)) |
1/2 |
(+ 1/2 (* 1/6 y)) |
(exp (pow y 2)) |
(* (exp (* 1/8 (pow y 2))) (exp (* 7/8 (pow y 2)))) |
(* y (+ x (/ x 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)))))) |
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y)))) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* 1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (+ (/ x (pow y 2)) (/ x (pow y 3)))))) |
(* 1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(* (pow y 2) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2))))) |
(* 1/6 (* x y)) |
(* y (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(* 1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2)))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2)))) |
(exp (* 7/8 (pow y 2))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* 1/2 (* x (pow y 4))) |
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2)))) |
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x 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 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ x y)) y)) (* -1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* -1/6 x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 x)) y)) (* 1/6 x))) |
(* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 x)))) |
| Outputs |
|---|
(* x (exp (pow y 2))) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(* x (exp y)) |
(*.f64 (exp.f64 y) x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) x x) |
(* x (+ 1 (* y (+ 1/2 (* 1/6 y))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) |
(* x (+ 1/2 (* 1/6 y))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) |
(* x (+ 1 (* 1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2)))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) x x) |
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) 1))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(* 7/8 y) |
(*.f64 #s(literal 7/8 binary64) y) |
x |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 x y) y x) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 x y) y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) x x) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 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)) |
(+ 1 (* 1/2 y)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1/2 (* 1/6 y)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(+ x (* 1/2 (* x y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x x) |
(+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/6 (* x y)) (* 1/2 x)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) |
(+ x (* 1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(+ 1 (* 1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(+ 1 (* 7/8 (pow y 2))) |
(fma.f64 (*.f64 #s(literal 7/8 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 7/8 (* 49/128 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 49/128 binary64) (*.f64 y y) #s(literal 7/8 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 7/8 (* (pow y 2) (+ 49/128 (* 343/3072 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 343/3072 binary64) (*.f64 y y) #s(literal 49/128 binary64)) (*.f64 y y) #s(literal 7/8 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 y)) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
(exp (pow y 2)) |
(pow.f64 (exp.f64 y) y) |
(* (exp (* 1/8 (pow y 2))) (exp (* 7/8 (pow y 2)))) |
(pow.f64 (exp.f64 y) y) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(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 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(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)) |
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) |
(* 1/6 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/6 binary64)) |
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y) |
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y) |
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (+ (/ x (pow y 2)) (/ x (pow y 3)))))) |
(*.f64 (fma.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y) x) y) |
(* 1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) |
(* (pow y 2) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) |
(* 1/6 (* x y)) |
(*.f64 (*.f64 x y) #s(literal 1/6 binary64)) |
(* y (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) |
(* 1/2 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y) |
(* (pow y 2) (+ (* 1/2 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(* 1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(* (pow y 2) (+ 1/2 (/ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(exp (* 7/8 (pow y 2))) |
(pow.f64 (pow.f64 (exp.f64 y) y) #s(literal 7/8 binary64)) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
(* 1/2 (* x (pow y 4))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) x) |
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2)))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 x y) y))) |
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 x y) y))) (pow.f64 y #s(literal 4 binary64))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6))) |
(*.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 x)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ x y)) y)) (* -1/6 x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* -1/6 x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) x) y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 x)) y)) (* 1/6 x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) y (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x x) y)) y) |
(* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 279 |
| 0 | 71 | 255 |
| 1 | 243 | 243 |
| 2 | 1612 | 243 |
| 0 | 8209 | 237 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64))) |
(*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))))) |
#s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64))))) |
(*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
#s(approx (+ (* y x) x) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
#s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) |
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) |
(exp.f64 y) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(literal 7/8 binary64) y) y) (/.f64 (*.f64 y #s(literal -5/8 binary64)) #s(literal -5/8 binary64))) |
(*.f64 #s(literal 7/8 binary64) y) |
(*.f64 (*.f64 (*.f64 #s(literal 7/8 binary64) y) (*.f64 y #s(literal -5/8 binary64))) (pow.f64 (*.f64 y #s(literal -5/8 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) (*.f64 #s(literal 1/8 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 y #s(literal 7/8 binary64)) |
(pow.f64 (*.f64 (/.f64 y (*.f64 #s(literal 7/8 binary64) y)) (/.f64 #s(literal -5/8 binary64) (*.f64 y #s(literal -5/8 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) (*.f64 #s(literal 1/8 binary64) y)))) (fma.f64 #s(literal 1/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y y) y) #s(literal -1/40 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 y y) y) #s(literal -9/10 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 y y) y) #s(literal -1/40 binary64)) (*.f64 (/.f64 (*.f64 y y) y) #s(literal -1/40 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 y y) y) #s(literal -9/10 binary64)) (*.f64 (/.f64 (*.f64 y y) y) #s(literal -9/10 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 y y) y) #s(literal -1/40 binary64)) (*.f64 (/.f64 (*.f64 y y) y) #s(literal -9/10 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 y y)) (*.f64 #s(literal 1/64 binary64) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 #s(literal 3/4 binary64) y) (*.f64 #s(literal 1/8 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 7/8 binary64) y) (*.f64 y #s(literal -5/8 binary64))))) (neg.f64 (neg.f64 (*.f64 y #s(literal -5/8 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) (*.f64 #s(literal 1/8 binary64) y))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 y y) (*.f64 #s(literal 9/16 binary64) (*.f64 y y))) (*.f64 y #s(literal -5/8 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/262144 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 729/4096 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) y) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal 3/4 binary64)) #s(literal 2 binary64)))) (*.f64 y #s(literal -5/8 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/262144 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 729/4096 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3/4 binary64) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 y y) (*.f64 (*.f64 #s(literal 3/4 binary64) y) (-.f64 (*.f64 #s(literal 3/4 binary64) y) (*.f64 #s(literal 1/8 binary64) y)))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64))))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x x) |
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (*.f64 y y) x) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y y) x) x) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) x) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y y)) x) |
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 x)))) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) |
(+.f64 x (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
Compiled 15 905 to 2 292 computations (85.6% saved)
23 alts after pruning (14 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 452 | 11 | 463 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 7 | 8 |
| Total | 457 | 23 | 480 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 x (exp.f64 (*.f64 y y))) |
| ✓ | 99.1% | (*.f64 x (exp.f64 y)) |
| ✓ | 100.0% | (*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
| 100.0% | (*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 7/8 binary64))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))))) | |
| ✓ | 37.1% | (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
| ✓ | 48.4% | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
| 87.9% | (*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) | |
| ✓ | 62.2% | (*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
| 44.2% | (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) | |
| 92.2% | #s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) x)) | |
| 87.4% | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x)) | |
| 91.0% | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x x)) | |
| 87.2% | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) (*.f64 y y) x)) | |
| 74.8% | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) | |
| 87.2% | #s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) (*.f64 y y) x)) | |
| 83.1% | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x)) | |
| ✓ | 83.1% | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
| 83.1% | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))) y x) y x)) | |
| 83.5% | #s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/6 binary64))) y x)) | |
| ✓ | 62.2% | #s(approx (* x (exp y)) (fma.f64 y x x)) |
| 40.6% | #s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y))) | |
| 40.1% | #s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y))) | |
| ✓ | 19.0% | #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
Compiled 1 000 to 439 computations (56.1% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/6 binary64))) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))) y x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x)) |
(*.f64 x #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)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) x)) |
(*.f64 x (exp.f64 y)) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) |
(*.f64 x (exp.f64 (*.f64 y y))) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
(*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 7/8 binary64))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))))) |
(*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (fma.f64 y #s(literal 1/8 binary64) (*.f64 y #s(literal 3/4 binary64)))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))))) |
(*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) y)))))) |
| Outputs |
|---|
(*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 7/8 binary64))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))))) |
5 calls:
| 61.0ms | (*.f64 y y) |
| 30.0ms | x |
| 9.0ms | y |
| 9.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 7.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 100.0% | 1 | (exp.f64 (*.f64 y y)) |
| 100.0% | 1 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/6 binary64))) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))) y x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x)) |
(*.f64 x #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)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) x)) |
(*.f64 x (exp.f64 y)) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) |
(*.f64 x (exp.f64 (*.f64 y y))) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
| Outputs |
|---|
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
5 calls:
| 40.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 9.0ms | x |
| 8.0ms | y |
| 8.0ms | (*.f64 y y) |
| 6.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 100.0% | 1 | (exp.f64 (*.f64 y y)) |
| 100.0% | 1 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/6 binary64))) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))) y x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x)) |
(*.f64 x #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)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) x)) |
(*.f64 x (exp.f64 y)) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) |
(*.f64 x (exp.f64 (*.f64 y y))) |
| Outputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
5 calls:
| 39.0ms | x |
| 8.0ms | y |
| 8.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 7.0ms | (*.f64 y y) |
| 6.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 100.0% | 1 | (exp.f64 (*.f64 y y)) |
| 100.0% | 1 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/6 binary64))) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))) y x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x)) |
(*.f64 x #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)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) x)) |
(*.f64 x (exp.f64 y)) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) |
| Outputs |
|---|
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) |
5 calls:
| 17.0ms | y |
| 8.0ms | x |
| 7.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 7.0ms | (*.f64 y y) |
| 6.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 99.6% | 1 | (exp.f64 (*.f64 y y)) |
| 99.6% | 1 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/6 binary64))) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))) y x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x)) |
(*.f64 x #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)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) x)) |
(*.f64 x (exp.f64 y)) |
| Outputs |
|---|
(*.f64 x (exp.f64 y)) |
5 calls:
| 8.0ms | (exp.f64 (*.f64 y y)) |
| 8.0ms | x |
| 8.0ms | y |
| 7.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 7.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | y |
| 99.1% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 99.1% | 1 | (exp.f64 (*.f64 y y)) |
| 99.1% | 1 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/6 binary64))) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))) y x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x)) |
(*.f64 x #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)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) x)) |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) x)) |
5 calls:
| 18.0ms | y |
| 13.0ms | (*.f64 y y) |
| 7.0ms | x |
| 7.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 6.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 1 | x |
| 92.2% | 1 | y |
| 92.2% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 92.2% | 1 | (exp.f64 (*.f64 y y)) |
| 92.2% | 1 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/6 binary64))) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))) y x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x)) |
(*.f64 x #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)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (*.f64 y y) x)) |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x x)) |
5 calls:
| 7.0ms | x |
| 7.0ms | y |
| 7.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 6.0ms | (*.f64 y y) |
| 5.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 91.0% | 1 | (exp.f64 (*.f64 y y)) |
| 91.0% | 1 | x |
| 91.0% | 1 | y |
| 91.0% | 1 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/6 binary64))) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y))) y x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 x y) x) y x)) |
(*.f64 x #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)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 #s(approx (* (+ (* 1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) y)) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 #s(approx (+ (* 1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) x) (*.f64 y y) x)) |
| Outputs |
|---|
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
5 calls:
| 62.0ms | (exp.f64 (*.f64 y y)) |
| 6.0ms | x |
| 6.0ms | y |
| 6.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 5.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 1 | x |
| 88.3% | 1 | y |
| 88.3% | 1 | (*.f64 y y) |
| 88.3% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 88.3% | 1 | (exp.f64 (*.f64 y y)) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/6 binary64))) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
5 calls:
| 46.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 4.0ms | x |
| 4.0ms | y |
| 3.0ms | (*.f64 y y) |
| 3.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 2 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 88.4% | 2 | (exp.f64 (*.f64 y y)) |
| 83.5% | 1 | x |
| 88.4% | 2 | y |
| 88.4% | 2 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/6 binary64))) y x)) |
| Outputs |
|---|
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/6 binary64))) y x)) |
4 calls:
| 3.0ms | y |
| 3.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 3.0ms | (*.f64 y y) |
| 3.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.5% | 1 | y |
| 83.5% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 83.5% | 1 | (exp.f64 (*.f64 y y)) |
| 83.5% | 1 | (*.f64 y y) |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y))) |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
#s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y))) |
5 calls:
| 52.0ms | x |
| 3.0ms | y |
| 3.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 3.0ms | (*.f64 y y) |
| 2.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 1 | x |
| 84.4% | 2 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 84.4% | 2 | (exp.f64 (*.f64 y y)) |
| 84.4% | 2 | y |
| 84.4% | 2 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
4 calls:
| 3.0ms | y |
| 3.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 3.0ms | (*.f64 y y) |
| 2.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 81.3% | 1 | (exp.f64 (*.f64 y y)) |
| 81.3% | 1 | y |
| 81.3% | 1 | (*.f64 y y) |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
5 calls:
| 5.0ms | (exp.f64 (*.f64 y y)) |
| 3.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 2.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 1 | x |
| 81.3% | 2 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 81.3% | 2 | (exp.f64 (*.f64 y y)) |
| 81.3% | 2 | y |
| 81.3% | 2 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
| Outputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
(*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y)))) |
4 calls:
| 2.0ms | y |
| 2.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 2.0ms | (*.f64 y y) |
| 2.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 2 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 81.2% | 2 | (exp.f64 (*.f64 y y)) |
| 81.2% | 2 | y |
| 81.2% | 2 | (*.f64 y y) |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp y) (+.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
#s(approx (* x (exp y)) (fma.f64 y x x)) |
5 calls:
| 4.0ms | (exp.f64 (*.f64 y y)) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 2.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.2% | 1 | x |
| 62.2% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 62.2% | 1 | (exp.f64 (*.f64 y y)) |
| 62.2% | 1 | y |
| 62.2% | 1 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
5 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.4% | 1 | x |
| 62.6% | 2 | (*.f64 y y) |
| 62.6% | 2 | y |
| 62.6% | 2 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 62.6% | 2 | (exp.f64 (*.f64 y y)) |
Compiled 15 to 16 computations (-6.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
| Outputs |
|---|
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
5 calls:
| 5.0ms | (*.f64 y y) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 1.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.0% | 1 | x |
| 19.0% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 19.0% | 1 | y |
| 19.0% | 1 | (*.f64 y y) |
| 19.0% | 1 | (exp.f64 (*.f64 y y)) |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.474872783704942 | 727497592.6691785 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.474872783704942 | 727497592.6691785 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.725739691952035e+226 | 3.196639677354626e+226 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.5072202800489885e-9 | 9.474872783704942 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000055072202 | 13028.216492098036 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 375 |
| 1 | 130 | 375 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 7/8 binary64))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))))) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
(*.f64 x (exp.f64 (*.f64 y y))) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) |
(*.f64 x (exp.f64 y)) |
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x x)) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 y y) #s(literal 10 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/6 binary64))) y x)) |
(if (<=.f64 (*.f64 y y) #s(literal 10 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) #s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y)))) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 y y) #s(literal 19999999999999999226601456666277228317312027608945821444520376213797755867253464449639851093277241451755357223170329126057960799481106437684193392085572710063277407375056830116569569494225707696575710713873448865384990225989632 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))) |
(if (<=.f64 (*.f64 y y) #s(literal 3022314549036573/302231454903657293676544 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y)))) |
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
| Outputs |
|---|
(*.f64 x #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 7/8 binary64))) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/8 binary64)))))) |
(*.f64 #s(approx (exp (* y y)) (*.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/8 binary64) y)) (pow.f64 (exp.f64 y) (*.f64 #s(literal 7/8 binary64) y)))) x) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
(*.f64 #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y)) x) |
(*.f64 x (exp.f64 (*.f64 y y))) |
(*.f64 (exp.f64 (*.f64 y y)) x) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y))) |
(*.f64 #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) y)) x) |
(*.f64 x (exp.f64 y)) |
(*.f64 (exp.f64 y) x) |
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) x) (*.f64 y y) x) (*.f64 y y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y y)) x x)) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) y #s(literal 1 binary64))) x) |
(if (<=.f64 (*.f64 y y) #s(literal 10 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))))) |
(if (<=.f64 (*.f64 y y) #s(literal 10 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) (*.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y))) x)) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/6 binary64))) y x)) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal 1/6 binary64))) y x)) |
(if (<=.f64 (*.f64 y y) #s(literal 10 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) #s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y)))) |
(if (<=.f64 (*.f64 y y) #s(literal 10 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) #s(approx (* x (exp y)) #s(approx (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x) y)))) |
(*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x) |
(if (<=.f64 (*.f64 y y) #s(literal 19999999999999999226601456666277228317312027608945821444520376213797755867253464449639851093277241451755357223170329126057960799481106437684193392085572710063277407375056830116569569494225707696575710713873448865384990225989632 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 x y) y x)) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))) |
(if (<=.f64 (*.f64 y y) #s(literal 19999999999999999226601456666277228317312027608945821444520376213797755867253464449639851093277241451755357223170329126057960799481106437684193392085572710063277407375056830116569569494225707696575710713873448865384990225989632 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) (*.f64 #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x)) |
(if (<=.f64 (*.f64 y y) #s(literal 3022314549036573/302231454903657293676544 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))))) |
(if (<=.f64 (*.f64 y y) #s(literal 3022314549036573/302231454903657293676544 binary64)) (*.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (exp (* y y)) #s(approx (+ (* y y) 1) (*.f64 y y))) x)) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y)))) |
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(approx (exp (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 x y))) |
#s(approx (* x (exp y)) #s(approx (+ (* y x) x) (*.f64 y x))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 166 |
| 1 | 186 | 166 |
| 2 | 472 | 158 |
| 3 | 1129 | 156 |
| 4 | 1606 | 156 |
| 5 | 2138 | 156 |
| 6 | 3048 | 156 |
| 7 | 3597 | 156 |
| 8 | 3852 | 156 |
| 9 | 4183 | 156 |
| 10 | 4869 | 156 |
| 11 | 5495 | 156 |
| 12 | 6671 | 156 |
| 13 | 7961 | 156 |
| 0 | 8029 | 132 |
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 13 | 13 |
| 2 | 26 | 13 |
| 3 | 69 | 13 |
| 4 | 294 | 5 |
| 0 | 2666 | 5 |
| 0 | 45 | 279 |
| 0 | 71 | 255 |
| 1 | 243 | 243 |
| 2 | 1612 | 243 |
| 0 | 8209 | 237 |
| 0 | 33 | 97 |
| 1 | 95 | 97 |
| 2 | 276 | 91 |
| 3 | 750 | 89 |
| 4 | 989 | 89 |
| 5 | 1161 | 89 |
| 6 | 1318 | 89 |
| 7 | 1436 | 89 |
| 8 | 1436 | 87 |
| 9 | 1767 | 87 |
| 10 | 1800 | 87 |
| 11 | 1801 | 87 |
| 12 | 1823 | 87 |
| 0 | 1823 | 75 |
| 0 | 202 | 763 |
| 1 | 669 | 755 |
| 2 | 2092 | 718 |
| 3 | 5877 | 714 |
| 0 | 8215 | 624 |
| 0 | 34 | 214 |
| 0 | 56 | 202 |
| 1 | 172 | 176 |
| 2 | 1029 | 158 |
| 0 | 8376 | 155 |
| 0 | 15 | 68 |
| 0 | 22 | 68 |
| 1 | 51 | 68 |
| 2 | 197 | 68 |
| 0 | 1372 | 68 |
| 0 | 142 | 414 |
| 1 | 449 | 398 |
| 2 | 1228 | 389 |
| 3 | 3604 | 389 |
| 4 | 6677 | 389 |
| 0 | 8227 | 330 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 703 to 373 computations (46.9% saved)
(negabs x)
(abs y)
Compiled 1 734 to 904 computations (47.9% saved)
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