
Time bar (total: 20.4s)
| 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)
| 588.0ms | 8 256× | 0 | valid |
ival-mult: 219.0ms (73.6% of total)ival-exp: 69.0ms (23.2% of total)ival-true: 6.0ms (2% of total)ival-assert: 3.0ms (1% 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 |
| 53.0ms | 512× | 0 | valid |
Compiled 40 to 19 computations (52.5% saved)
ival-mult: 37.0ms (89.4% of total)ival-exp: 4.0ms (9.7% 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 | 217 | 32 |
| 4 | 375 | 32 |
| 5 | 530 | 32 |
| 6 | 643 | 32 |
| 7 | 680 | 32 |
| 8 | 714 | 32 |
| 9 | 721 | 32 |
| 10 | 725 | 32 |
| 11 | 726 | 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 | 0 | (*.f64 y y) | |
| cost-diff | 0 | (exp.f64 (*.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 | 0.0078125 | (*.f64 x (exp.f64 (*.f64 y y))) | |
| accuracy | 0.012976281620653759 | (exp.f64 (*.f64 y y)) |
| 11.0ms | 256× | 0 | valid |
Compiled 17 to 7 computations (58.8% saved)
ival-mult: 3.0ms (55.8% of total)ival-exp: 2.0ms (37.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
(exp.f64 (*.f64 y y)) |
(*.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)))))) |
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))))))) |
(pow y 2) |
(exp (pow y 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | ((* x (exp (* y y))) (exp (* y y)) (* y y)) |
| 1.0ms | x | @ | 0 | ((* x (exp (* y y))) (exp (* y y)) (* y y)) |
| 1.0ms | y | @ | inf | ((* x (exp (* y y))) (exp (* y y)) (* y y)) |
| 1.0ms | x | @ | inf | ((* x (exp (* y y))) (exp (* y y)) (* y y)) |
| 1.0ms | x | @ | -inf | ((* x (exp (* y y))) (exp (* y y)) (* 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)))))) |
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))))))) |
(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) |
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)))) |
(pow y 2) |
(*.f64 y y) |
(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))) |
(exp.f64 (*.f64 y y)) |
(*.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)) |
#s(literal 1 binary64) |
y |
#s(literal 0 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))) |
| ▶ | 98.6% | (*.f64 x (exp.f64 y)) |
| ▶ | 100.0% | (*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
| ▶ | 55.5% | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
| ▶ | 81.0% | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
Compiled 42 to 32 computations (23.8% 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 | (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))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) x x) | |
| cost-diff | 0 | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 76 |
| 0 | 24 | 76 |
| 1 | 37 | 76 |
| 2 | 42 | 76 |
| 3 | 48 | 76 |
| 4 | 48 | 76 |
| 5 | 91 | 76 |
| 6 | 91 | 76 |
| 7 | 96 | 76 |
| 8 | 97 | 76 |
| 0 | 97 | 76 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
(fma.f64 (*.f64 y y) x x) |
(*.f64 y y) |
y |
x |
(*.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 (exp.f64 y)) |
x |
(exp.f64 y) |
y |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
(fma.f64 (*.f64 y y) x x) |
(*.f64 y y) |
y |
x |
(*.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 (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 | 0.01171875 | (*.f64 x (exp.f64 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 | 0.0078125 | (*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) | |
| accuracy | 0.0078125 | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) | |
| accuracy | 28.62656683155875 | #s(approx (exp (* y y)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 2.864001281585764 | (fma.f64 (*.f64 y y) x x) | |
| accuracy | 14.94888824849541 | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
| 57.0ms | 256× | 0 | valid |
Compiled 58 to 13 computations (77.6% saved)
ival-mult: 6.0ms (39.4% of total)ival-pow: 4.0ms (26.2% of total)ival-exp: 3.0ms (19.7% of total)ival-add: 1.0ms (6.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
(fma.f64 (*.f64 y y) x x) |
(*.f64 y y) |
(*.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 (exp.f64 y)) |
| Outputs |
|---|
(* x (exp (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (exp y)) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
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))))))) |
(+ 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)))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(exp (pow y 2)) |
(exp y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y))) |
| 1.0ms | x | @ | -inf | ((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y))) |
| 1.0ms | x | @ | 0 | ((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y))) |
| 1.0ms | y | @ | 0 | ((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y))) |
| 1.0ms | y | @ | inf | ((* x (exp (* y y))) (+ (* (* y y) x) x) (* y y) (* x (exp (* y y))) (exp (* y y)) (* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 187 |
| 1 | 208 | 187 |
| 2 | 528 | 179 |
| 3 | 1316 | 177 |
| 4 | 2291 | 177 |
| 5 | 6693 | 177 |
| 0 | 8276 | 151 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (exp (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (exp y)) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
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))))))) |
(+ 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)))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(exp (pow y 2)) |
(exp y) |
| Outputs |
|---|
(* x (exp (pow y 2))) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (exp y)) |
(*.f64 (exp.f64 y) x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* (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 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (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)))) |
(+ 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)) |
(+ 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 x (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 (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(exp (pow y 2)) |
(pow.f64 (exp.f64 y) y) |
(exp y) |
(exp.f64 y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 66 |
| 0 | 24 | 66 |
| 1 | 58 | 66 |
| 2 | 240 | 66 |
| 3 | 1965 | 66 |
| 0 | 8267 | 66 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
(fma.f64 (*.f64 y y) x x) |
(*.f64 y y) |
(*.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 (exp.f64 y)) |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
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(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)))) (fma.f64 (*.f64 y y) x x) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 y x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (*.f64 y x) y (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 y x) y (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 y x) y x) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (*.f64 y y) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 y y) x (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) x x) |
(fma.f64 y (exp.f64 (log.f64 (*.f64 y x))) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (exp.f64 (log.f64 (*.f64 y x))) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 y (exp.f64 (log.f64 (*.f64 y x))) x) |
(fma.f64 y (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 y (pow.f64 (*.f64 y x) #s(literal 1 binary64)) x) |
(fma.f64 y (/.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 y (*.f64 y x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (*.f64 y x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y x) x) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(fma.f64 x (*.f64 y y) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x (*.f64 y y) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x (*.f64 y y) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) x)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x x)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y y) x) x) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y y) x) x) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (*.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x)))))) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x))) (-.f64 (*.f64 (*.f64 y y) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x))) (-.f64 (*.f64 (*.f64 y y) x) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (*.f64 (*.f64 y y) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (*.f64 (*.f64 y y) x) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) x))) (/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y y) x))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y y) x)))) |
(-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 y y) x x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 y y) x)) |
(+.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(+.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 (*.f64 y y) x) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 y y) x) x) |
(+.f64 x (*.f64 (*.f64 y y) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 y (*.f64 y #s(literal 1 binary64))) |
(*.f64 y y) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.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 (pow.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 y) (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (exp.f64 y) (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 y) y)) (sqrt.f64 (pow.f64 (exp.f64 y) y))) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.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 y #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) |
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (neg.f64 y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 (pow.f64 (exp.f64 y) (sqrt.f64 y)) (sqrt.f64 y)) |
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(pow.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(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) (*.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 y) y)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 y) (+.f64 (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))))) |
(pow.f64 (exp.f64 y) (+.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))))) |
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))))) |
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))))) |
(pow.f64 (exp.f64 y) (+.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))))) |
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/2 binary64) y (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))))) |
(pow.f64 (exp.f64 y) (fma.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) y))) |
(pow.f64 (exp.f64 y) (+.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) y))) |
(pow.f64 (exp.f64 y) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 y) (*.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 y) (*.f64 y #s(literal 1 binary64))) |
(pow.f64 (exp.f64 y) y) |
(pow.f64 (pow.f64 (exp.f64 y) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 y #s(literal -2 binary64)))) |
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) y)) #s(literal 1/2 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 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 1/2 binary64) y))) |
(exp.f64 (*.f64 y y)) |
(pow.f64 (exp.f64 (sqrt.f64 y)) (sqrt.f64 y)) |
(exp.f64 y) |
(*.f64 (exp.f64 y) x) |
(*.f64 x (exp.f64 y)) |
Compiled 8 029 to 965 computations (88% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 255 | 7 | 262 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 1 | 1 |
| Total | 256 | 11 | 267 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 x (exp.f64 (*.f64 y y))) |
| ✓ | 98.6% | (*.f64 x (exp.f64 y)) |
| ✓ | 100.0% | (*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
| ▶ | 99.3% | (*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))) |
| ✓ | 55.5% | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
| 84.5% | (*.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)))) | |
| 80.3% | (*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) | |
| ▶ | 64.6% | (*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
| ▶ | 76.6% | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
| ▶ | 29.8% | #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
| ▶ | 64.6% | #s(approx (* x (exp y)) (fma.f64 y x x)) |
Compiled 213 to 150 computations (29.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) y x) | |
| cost-diff | 0 | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) x) | |
| cost-diff | 0 | #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)) | |
| cost-diff | 0 | #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) | |
| cost-diff | 0 | (-.f64 y #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) | |
| 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) (-.f64 y #s(literal -1 binary64))) | |
| cost-diff | 0 | (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y) | |
| cost-diff | 0 | #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 150 |
| 0 | 36 | 148 |
| 1 | 55 | 148 |
| 2 | 61 | 148 |
| 3 | 71 | 148 |
| 4 | 71 | 148 |
| 5 | 120 | 148 |
| 6 | 120 | 148 |
| 7 | 125 | 148 |
| 8 | 126 | 148 |
| 0 | 126 | 148 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))) |
x |
#s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) |
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y) |
#s(approx (exp y) (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 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 y #s(literal -1 binary64)))) |
x |
#s(approx (exp y) (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 y x) |
y |
x |
| Outputs |
|---|
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))) |
(*.f64 #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) x) |
x |
#s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) |
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y) |
#s(approx (exp y) (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 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 y #s(literal -1 binary64)))) |
(*.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) x) |
x |
#s(approx (exp y) (-.f64 y #s(literal -1 binary64))) |
(-.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
#s(approx (* x (exp (* y y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(*.f64 y x) |
y |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.078125 | (fma.f64 (*.f64 y x) y x) | |
| accuracy | 14.94888824849541 | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 6.518094696023963 | (*.f64 (*.f64 y y) x) | |
| accuracy | 14.94888824849541 | #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) | |
| accuracy | 33.2447924969005 | #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)) | |
| accuracy | 0.0 | (-.f64 y #s(literal -1 binary64)) | |
| accuracy | 0.01171875 | (*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) | |
| accuracy | 28.046175404220193 | #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) | |
| accuracy | 0.0 | (fma.f64 y x x) | |
| accuracy | 22.24294677768018 | #s(approx (* x (exp y)) (fma.f64 y x x)) | |
| accuracy | 0.0 | #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) | |
| accuracy | 0.00390625 | (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y) | |
| accuracy | 0.0078125 | (*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))) | |
| accuracy | 28.046175404220193 | #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) |
| 33.0ms | 256× | 0 | valid |
Compiled 88 to 18 computations (79.5% saved)
ival-mult: 9.0ms (42.6% of total)ival-pow: 4.0ms (18.9% of total)ival-exp: 3.0ms (14.2% of total)ival-add: 3.0ms (14.2% of total)ival-sub: 1.0ms (4.7% 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)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))) |
#s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) |
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y) |
#s(approx (exp y) (-.f64 y #s(literal -1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
(-.f64 y #s(literal -1 binary64)) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 y x) |
| Outputs |
|---|
(* x (exp (pow y 2))) |
(* x (exp y)) |
(* x (+ 1 y)) |
(* x (+ 1 (pow y 2))) |
(* x (pow y 2)) |
(* x y) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
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)))))) |
(pow y 2) |
(exp (pow y 2)) |
(exp y) |
(* y (+ x (/ x y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 101.0ms | x | @ | 0 | ((* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (- y -1) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x)) |
| 2.0ms | x | @ | -inf | ((* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (- y -1) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x)) |
| 1.0ms | y | @ | -inf | ((* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (- y -1) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x)) |
| 1.0ms | x | @ | inf | ((* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (- y -1) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x)) |
| 1.0ms | y | @ | inf | ((* x (exp (* y y))) (exp (* y y)) (pow (exp y) y) (exp y) (* x (exp y)) (+ (* y x) x) (* x (exp y)) (- y -1) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 214 |
| 1 | 264 | 214 |
| 2 | 660 | 206 |
| 3 | 1663 | 204 |
| 4 | 4629 | 204 |
| 0 | 8159 | 174 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (exp (pow y 2))) |
(* x (exp y)) |
(* x (+ 1 y)) |
(* x (+ 1 (pow y 2))) |
(* x (pow y 2)) |
(* x y) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
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)))))) |
(pow y 2) |
(exp (pow y 2)) |
(exp y) |
(* y (+ x (/ x y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
| 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 y x x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
x |
(+ x (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(*.f64 x (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) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 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 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)) |
(+ 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 x (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) |
(exp (pow y 2)) |
(pow.f64 (exp.f64 y) y) |
(exp y) |
(exp.f64 y) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
y |
(* y (+ 1 (/ 1 y))) |
(-.f64 y #s(literal -1 binary64)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 129 |
| 0 | 36 | 127 |
| 1 | 110 | 127 |
| 2 | 481 | 127 |
| 3 | 4346 | 127 |
| 0 | 8362 | 127 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))) |
#s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) |
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y) |
#s(approx (exp y) (-.f64 y #s(literal -1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
(-.f64 y #s(literal -1 binary64)) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
(fma.f64 (*.f64 y x) y x) |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) x) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))) |
#s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) |
(*.f64 (pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/4 binary64))) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 (sqrt.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) (sqrt.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))) |
(pow.f64 (*.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 y #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (neg.f64 y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (sqrt.f64 y)) (sqrt.f64 y)) |
(pow.f64 (pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) |
(pow.f64 (pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 1/2 binary64)) (+.f64 y y)) |
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) y) |
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/4 binary64))) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)))) |
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64)))) |
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 (sqrt.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y) #s(literal 1 binary64)) |
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))))) |
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (+.f64 (fma.f64 y #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))))) |
(pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 1/4 binary64))))) |
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(/.f64 (*.f64 x (-.f64 x (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) (-.f64 x (*.f64 (*.f64 y y) x))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x)))) (fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x)))))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x))) (-.f64 (*.f64 (*.f64 y y) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 y y) x)) (*.f64 x (-.f64 x (*.f64 (pow.f64 y #s(literal 4 binary64)) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)))) (-.f64 (*.f64 (*.f64 y y) x) x))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x)))))) |
(neg.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) x)))) |
(neg.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (*.f64 (*.f64 y y) x))))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (neg.f64 x)))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 (*.f64 y x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y) (/.f64 y (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y y) x)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) x) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (*.f64 y x) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (*.f64 y x) y (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 y x) y (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 y x) y x) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 (*.f64 y y) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 y y) x (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) x x) |
(fma.f64 y (/.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 y (*.f64 y x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (*.f64 y x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y x) x) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (-.f64 (*.f64 (*.f64 y y) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(fma.f64 x (*.f64 y y) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x (*.f64 y y) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x (*.f64 y y) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y y) x))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y y) x)))) |
(-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 y y) x)) |
(+.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 y y) x) x))))) |
(+.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 (*.f64 y y) x) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 y y) x) x) |
(+.f64 x (*.f64 (*.f64 y y) x)) |
(*.f64 y x) |
(*.f64 x y) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
Compiled 12 506 to 1 821 computations (85.4% saved)
14 alts after pruning (5 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 504 | 3 | 507 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 504 | 14 | 518 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 x (exp.f64 (*.f64 y y))) |
| ✓ | 98.6% | (*.f64 x (exp.f64 y)) |
| ✓ | 100.0% | (*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
| ✓ | 99.3% | (*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))) |
| ✓ | 55.5% | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
| ▶ | 84.5% | (*.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)))) |
| ▶ | 80.3% | (*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
| ✓ | 64.6% | (*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
| ✓ | 76.6% | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
| ✓ | 29.8% | #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
| ▶ | 25.5% | #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
| ✓ | 64.6% | #s(approx (* x (exp y)) (fma.f64 y x x)) |
| ▶ | 47.9% | #s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))) |
| ▶ | 64.6% | #s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
Compiled 248 to 167 computations (32.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x (*.f64 (*.f64 y y) x)) | |
| cost-diff | 0 | (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) | |
| cost-diff | 0 | #s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))) | |
| cost-diff | 11 | (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 (*.f64 y x) y) | |
| cost-diff | 0 | #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)) | |
| cost-diff | 0 | #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) | |
| cost-diff | 1 | (+.f64 (*.f64 y x) x) | |
| 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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 223 |
| 0 | 56 | 203 |
| 1 | 97 | 203 |
| 2 | 165 | 203 |
| 3 | 325 | 203 |
| 4 | 736 | 203 |
| 5 | 2033 | 203 |
| 6 | 5043 | 203 |
| 0 | 8178 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y x) x) |
(*.f64 y x) |
y |
x |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
y |
x |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
x |
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))) |
(/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))) |
(*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) |
(-.f64 x (*.f64 (*.f64 y y) x)) |
x |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
(-.f64 x (*.f64 y x)) |
(*.f64 y x) |
| Outputs |
|---|
(*.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) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(*.f64 y x) |
y |
x |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)) |
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 y x) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 y x) |
y |
x |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp y) (fma.f64 (fma.f64 #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 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
y |
#s(literal 1 binary64) |
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))) |
(fma.f64 y x x) |
(*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) |
(-.f64 x (*.f64 (*.f64 y y) x)) |
x |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
(-.f64 x (*.f64 y x)) |
(*.f64 y x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.4106526796398349 | (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) | |
| accuracy | 6.518094696023963 | (*.f64 (*.f64 y y) x) | |
| accuracy | 22.24294677768018 | #s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))) | |
| accuracy | 31.768123425581557 | (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) | |
| accuracy | 15.093699435212221 | #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.15625 | (*.f64 (*.f64 y x) y) | |
| accuracy | 14.94888824849541 | #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) | |
| accuracy | 33.2447924969005 | #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.015625 | (+.f64 (*.f64 y x) x) | |
| accuracy | 22.24294677768018 | #s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) | |
| accuracy | 0.0546875 | (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 | 0.06640625 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 0.15625 | (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) | |
| accuracy | 11.031232480719549 | #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))) |
| 69.0ms | 256× | 0 | valid |
Compiled 154 to 31 computations (79.9% saved)
ival-mult: 17.0ms (35% of total)ival-exp: 15.0ms (30.8% of total)ival-add: 8.0ms (16.5% of total)ival-sub: 4.0ms (8.2% of total)const: 4.0ms (8.2% of total)ival-div: 2.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.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)) |
(+.f64 (*.f64 y x) x) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 y x) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))) |
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))) |
(*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) |
(-.f64 x (*.f64 (*.f64 y y) x)) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
(*.f64 (*.f64 y y) x) |
| Outputs |
|---|
(* x (exp y)) |
(* x (+ 1 y)) |
(* x y) |
(* x (exp (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (pow y 2)) |
(/ (* x (- 1 (pow y 2))) (- 1 y)) |
(* (pow x 2) (- 1 (pow y 2))) |
(* x (- 1 (pow y 2))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y))) |
(* (pow x 2) (+ 1 (* -1 (pow y 2)))) |
(* x (+ 1 (* -1 (pow y 2)))) |
x |
(+ x (* x y)) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
1 |
(+ 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 (* 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 x 2) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)) |
(+ x (* -1 (* x (pow y 2)))) |
1/2 |
(+ 1/2 (* 1/6 y)) |
(exp y) |
(* 1/6 (pow y 3)) |
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y)))) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y)))) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* y (+ x (/ x y))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (/ 1 y))) |
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* 1/2 y) |
(* y (+ 1/2 (/ 1 y))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (- (/ x (pow y 2)) x)) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* y x) x) (* x (exp y)) (* y x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y x) y) (* x (exp y)) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (/ (* (- x (* (* y y) x)) x) (- x (* y x))) (* x (exp y)) (* (- x (* (* y y) x)) x) (- x (* (* y y) x)) (+ (* 1/6 y) 1/2) (* (* y y) x)) |
| 3.0ms | x | @ | -inf | ((* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* y x) x) (* x (exp y)) (* y x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y x) y) (* x (exp y)) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (/ (* (- x (* (* y y) x)) x) (- x (* y x))) (* x (exp y)) (* (- x (* (* y y) x)) x) (- x (* (* y y) x)) (+ (* 1/6 y) 1/2) (* (* y y) x)) |
| 2.0ms | y | @ | inf | ((* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* y x) x) (* x (exp y)) (* y x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y x) y) (* x (exp y)) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (/ (* (- x (* (* y y) x)) x) (- x (* y x))) (* x (exp y)) (* (- x (* (* y y) x)) x) (- x (* (* y y) x)) (+ (* 1/6 y) 1/2) (* (* y y) x)) |
| 2.0ms | x | @ | inf | ((* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* y x) x) (* x (exp y)) (* y x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y x) y) (* x (exp y)) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (/ (* (- x (* (* y y) x)) x) (- x (* y x))) (* x (exp y)) (* (- x (* (* y y) x)) x) (- x (* (* y y) x)) (+ (* 1/6 y) 1/2) (* (* y y) x)) |
| 2.0ms | x | @ | 0 | ((* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) y) 1) (+ (* y x) x) (* x (exp y)) (* y x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y x) y) (* x (exp y)) (exp y) (+ (* (+ (* 1/2 y) 1) y) 1) (+ (* 1/2 y) 1) (/ (* (- x (* (* y y) x)) x) (- x (* y x))) (* x (exp y)) (* (- x (* (* y y) x)) x) (- x (* (* y y) x)) (+ (* 1/6 y) 1/2) (* (* y y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 429 |
| 1 | 422 | 425 |
| 2 | 1091 | 415 |
| 3 | 4053 | 412 |
| 4 | 7588 | 411 |
| 0 | 8413 | 369 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (exp y)) |
(* x (+ 1 y)) |
(* x y) |
(* x (exp (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (pow y 2)) |
(/ (* x (- 1 (pow y 2))) (- 1 y)) |
(* (pow x 2) (- 1 (pow y 2))) |
(* x (- 1 (pow y 2))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y))) |
(* (pow x 2) (+ 1 (* -1 (pow y 2)))) |
(* x (+ 1 (* -1 (pow y 2)))) |
x |
(+ x (* x y)) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
1 |
(+ 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 (* 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 x 2) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)) |
(+ x (* -1 (* x (pow y 2)))) |
1/2 |
(+ 1/2 (* 1/6 y)) |
(exp y) |
(* 1/6 (pow y 3)) |
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y)))) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (* 1/2 (/ 1 y)))) |
(* (pow y 2) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* y (+ x (/ x y))) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (/ 1 y))) |
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(* 1/2 y) |
(* y (+ 1/2 (/ 1 y))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (- (/ x (pow y 2)) x)) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
| Outputs |
|---|
(* x (exp y)) |
(*.f64 (exp.f64 y) x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x y) |
(*.f64 y x) |
(* x (exp (pow y 2))) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(* x (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(/ (* x (- 1 (pow y 2))) (- 1 y)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) |
(* (pow x 2) (- 1 (pow y 2))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x) |
(* x (- 1 (pow y 2))) |
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(/ (* x (+ 1 (* -1 (pow y 2)))) (+ 1 (* -1 y))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (* -1 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x) |
(* x (+ 1 (* -1 (pow y 2)))) |
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) 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 |
#s(literal 1 binary64) |
(+ 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 (* x (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) 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 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x) |
(+ x (* -1 (* x (pow y 2)))) |
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) |
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 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))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(fma.f64 (fma.f64 (fma.f64 #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 (*.f64 #s(literal 1/6 binary64) 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)) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x) |
(* 1/2 (pow y 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) y) |
(* (pow y 2) (+ 1/2 (/ 1 y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) y y) |
(* (pow y 2) (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* y (+ 1/2 (/ 1 y))) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 x x) y) (neg.f64 y)) |
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* (pow y 2) (- (/ x (pow y 2)) x)) |
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) |
(* 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 (* (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))) |
(neg.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (-.f64 y #s(literal -1 binary64)) y))) y (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 194 |
| 0 | 56 | 174 |
| 1 | 201 | 174 |
| 2 | 1399 | 174 |
| 0 | 8251 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) |
(+.f64 (*.f64 y x) x) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 y x) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
#s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
#s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))) |
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))) |
(*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) |
(-.f64 x (*.f64 (*.f64 y y) x)) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
(*.f64 (*.f64 y y) x) |
| Outputs |
|---|
(*.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) |
(*.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))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)))) |
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(/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 (*.f64 y y) x))) (fma.f64 #s(literal -1 binary64) x (*.f64 y x))) |
(/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x))) |
(/.f64 (-.f64 x (*.f64 (*.f64 y y) x)) (/.f64 (-.f64 x (*.f64 y x)) x)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) y))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (fma.f64 y x x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y) x) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 y x))) (neg.f64 (fma.f64 y x x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 x (*.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y x x))) |
(-.f64 x (*.f64 (neg.f64 x) y)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))) |
(+.f64 (*.f64 y x) x) |
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#s(approx (* x (exp y)) (fma.f64 y x x)) |
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(-.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)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 y x) y) |
(*.f64 y (*.f64 y x)) |
(*.f64 x (*.f64 y y)) |
Compiled 14 737 to 2 162 computations (85.3% saved)
19 alts after pruning (6 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 476 | 6 | 482 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 9 | 9 |
| Total | 477 | 19 | 496 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 x (exp.f64 (*.f64 y y))) |
| ✓ | 98.6% | (*.f64 x (exp.f64 y)) |
| ✓ | 100.0% | (*.f64 x #s(approx (exp (* y y)) (pow.f64 (exp.f64 y) y))) |
| ✓ | 99.3% | (*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))) |
| ✓ | 55.5% | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
| ✓ | 84.5% | (*.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)))) |
| ✓ | 80.3% | (*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
| 80.3% | (*.f64 x #s(approx (exp y) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)))) y #s(literal 1 binary64)))) | |
| ✓ | 64.6% | (*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
| 34.6% | (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y)))) | |
| 34.0% | (*.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)))) | |
| 86.0% | #s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x)) | |
| ✓ | 76.6% | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
| ✓ | 29.8% | #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
| ✓ | 25.5% | #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
| 81.5% | #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)) | |
| ✓ | 64.6% | #s(approx (* x (exp y)) (fma.f64 y x x)) |
| 17.5% | #s(approx (* x (exp y)) (/.f64 (*.f64 #s(approx (- x (* (* y y) x)) (*.f64 (*.f64 (neg.f64 x) y) y)) x) (-.f64 x (*.f64 y x)))) | |
| ✓ | 64.6% | #s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
Compiled 619 to 301 computations (51.4% saved)
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(*.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) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) 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)) |
(*.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 (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x)) |
#s(approx (* x (exp y)) (/.f64 (*.f64 #s(approx (- x (* (* y y) x)) (*.f64 (*.f64 (neg.f64 x) y) y)) x) (-.f64 x (*.f64 y x)))) |
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)))) y #s(literal 1 binary64)))) |
(*.f64 x (exp.f64 y)) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) 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:
| 8.0ms | y |
| 6.0ms | x |
| 6.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 6.0ms | (*.f64 y y) |
| 5.0ms | (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 |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(*.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) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) 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)) |
(*.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 (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x)) |
#s(approx (* x (exp y)) (/.f64 (*.f64 #s(approx (- x (* (* y y) x)) (*.f64 (*.f64 (neg.f64 x) y) y)) x) (-.f64 x (*.f64 y x)))) |
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)))) y #s(literal 1 binary64)))) |
(*.f64 x (exp.f64 y)) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))) |
(*.f64 x (exp.f64 (*.f64 y y))) |
| Outputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
5 calls:
| 50.0ms | (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 |
|---|---|---|
| 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 |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(*.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) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) 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)) |
(*.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 (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x)) |
#s(approx (* x (exp y)) (/.f64 (*.f64 #s(approx (- x (* (* y y) x)) (*.f64 (*.f64 (neg.f64 x) y) y)) x) (-.f64 x (*.f64 y x)))) |
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)))) y #s(literal 1 binary64)))) |
(*.f64 x (exp.f64 y)) |
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))) |
| Outputs |
|---|
(*.f64 x #s(approx (exp (* y y)) (pow.f64 #s(approx (exp y) (-.f64 y #s(literal -1 binary64))) y))) |
5 calls:
| 27.0ms | x |
| 6.0ms | y |
| 5.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 5.0ms | (*.f64 y y) |
| 4.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | x |
| 99.3% | 1 | y |
| 99.3% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 99.3% | 1 | (exp.f64 (*.f64 y y)) |
| 99.3% | 1 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(*.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) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) 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)) |
(*.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 (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x)) |
#s(approx (* x (exp y)) (/.f64 (*.f64 #s(approx (- x (* (* y y) x)) (*.f64 (*.f64 (neg.f64 x) y) y)) x) (-.f64 x (*.f64 y x)))) |
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)))) y #s(literal 1 binary64)))) |
(*.f64 x (exp.f64 y)) |
| Outputs |
|---|
(*.f64 x (exp.f64 y)) |
5 calls:
| 63.0ms | x |
| 5.0ms | y |
| 5.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 5.0ms | (*.f64 y y) |
| 4.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | x |
| 98.6% | 1 | y |
| 98.6% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 98.6% | 1 | (exp.f64 (*.f64 y y)) |
| 98.6% | 1 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(*.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) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) 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)) |
(*.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 (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x)) |
#s(approx (* x (exp y)) (/.f64 (*.f64 #s(approx (- x (* (* y y) x)) (*.f64 (*.f64 (neg.f64 x) y) y)) x) (-.f64 x (*.f64 y x)))) |
#s(approx (* x (exp y)) (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 y y) x)) x) (-.f64 x (*.f64 y x)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)))) y #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y y) x)) |
5 calls:
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 4.0ms | (*.f64 y y) |
| 4.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.0% | 1 | x |
| 86.0% | 1 | y |
| 86.0% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 86.0% | 1 | (exp.f64 (*.f64 y y)) |
| 86.0% | 1 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(*.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) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) 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)) |
(*.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)))) |
| Outputs |
|---|
(*.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)))) |
5 calls:
| 51.0ms | (*.f64 y y) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 3.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 1 | x |
| 84.5% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 84.5% | 1 | (exp.f64 (*.f64 y y)) |
| 84.5% | 1 | y |
| 84.5% | 1 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(*.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) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) 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)) |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y)))) |
5 calls:
| 61.0ms | (*.f64 y y) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 3.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 1 | x |
| 85.2% | 2 | y |
| 85.2% | 2 | (*.f64 y y) |
| 85.2% | 2 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 85.2% | 2 | (exp.f64 (*.f64 y y)) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(*.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 y x) 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)))) |
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 |
|---|---|---|
| 85.2% | 2 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 85.2% | 2 | y |
| 85.2% | 2 | (*.f64 y y) |
| 85.2% | 2 | (exp.f64 (*.f64 y y)) |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
5 calls:
| 23.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (*.f64 y y) |
| 2.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 1 | x |
| 81.0% | 1 | y |
| 81.0% | 1 | (*.f64 y y) |
| 81.0% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 81.0% | 1 | (exp.f64 (*.f64 y y)) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
5 calls:
| 3.0ms | x |
| 3.0ms | 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 |
|---|---|---|
| 76.6% | 1 | x |
| 81.0% | 2 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 81.0% | 2 | (exp.f64 (*.f64 y y)) |
| 81.0% | 2 | y |
| 81.0% | 2 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
| Outputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
4 calls:
| 29.0ms | 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 |
|---|---|---|
| 80.8% | 2 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 80.8% | 2 | (exp.f64 (*.f64 y y)) |
| 80.8% | 2 | y |
| 80.8% | 2 | (*.f64 y y) |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
| Outputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) |
5 calls:
| 2.0ms | x |
| 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 |
|---|---|---|
| 64.6% | 1 | x |
| 76.4% | 2 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 76.5% | 2 | (exp.f64 (*.f64 y y)) |
| 76.5% | 2 | y |
| 76.5% | 2 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 x #s(approx (exp y) (-.f64 y #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (* x (exp y)) (fma.f64 y x x)) |
5 calls:
| 32.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 2.0ms | (*.f64 y y) |
| 1.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.6% | 1 | x |
| 64.6% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 64.6% | 1 | y |
| 64.6% | 1 | (exp.f64 (*.f64 y y)) |
| 64.6% | 1 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
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 |
|---|---|---|
| 55.5% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 55.5% | 1 | (exp.f64 (*.f64 y y)) |
| 55.5% | 1 | y |
| 55.5% | 1 | (*.f64 y y) |
| 55.5% | 1 | x |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3289969804467794 | 168457.80638533222 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 168457.80638533222 | +inf |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 96349988463599500.0 | 107683473130534670.0 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8454376943993367 | 12.034440590208723 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8454376943993367 | 12.034440590208723 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 303 |
| 1 | 96 | 303 |
| 2 | 120 | 303 |
| 3 | 193 | 303 |
| 4 | 339 | 303 |
| 5 | 444 | 303 |
| 6 | 470 | 303 |
| 7 | 485 | 303 |
| 8 | 562 | 303 |
| 9 | 3918 | 303 |
| 10 | 7541 | 303 |
| 1× | node limit |
| Inputs |
|---|
(*.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 y #s(literal -1 binary64))) y))) |
(*.f64 x (exp.f64 y)) |
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y 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)))) |
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 4 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))) |
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 200000 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) 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 y))) (fma.f64 (*.f64 y y) x x)) |
(if (<=.f64 (*.f64 y y) #s(literal 100000000000000000 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))) |
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))) |
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.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 y #s(literal -1 binary64))) y))) |
(*.f64 x (exp.f64 y)) |
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x) x) (*.f64 y 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)))) |
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 4 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y y))))) |
(if (<=.f64 (exp.f64 (*.f64 y y)) #s(literal 200000 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) 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 y))) (fma.f64 (*.f64 y y) x x)) |
(if (<=.f64 (*.f64 y y) #s(literal 100000000000000000 binary64)) #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))) |
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)))) |
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y)))) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
Useful iterations: 4 (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 |
| 0 | 67 | 187 |
| 1 | 208 | 187 |
| 2 | 528 | 179 |
| 3 | 1316 | 177 |
| 4 | 2291 | 177 |
| 5 | 6693 | 177 |
| 0 | 8276 | 151 |
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 13 | 13 |
| 2 | 26 | 13 |
| 3 | 69 | 13 |
| 4 | 294 | 5 |
| 0 | 2666 | 5 |
| 0 | 16 | 66 |
| 0 | 24 | 66 |
| 1 | 58 | 66 |
| 2 | 240 | 66 |
| 3 | 1965 | 66 |
| 0 | 8267 | 66 |
| 0 | 129 | 429 |
| 1 | 422 | 425 |
| 2 | 1091 | 415 |
| 3 | 4053 | 412 |
| 4 | 7588 | 411 |
| 0 | 8413 | 369 |
| 0 | 25 | 129 |
| 0 | 36 | 127 |
| 1 | 110 | 127 |
| 2 | 481 | 127 |
| 3 | 4346 | 127 |
| 0 | 8362 | 127 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 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 |
| 1× | iter limit |
| 1× | saturated |
Compiled 534 to 257 computations (51.9% saved)
(negabs x)
(abs y)
Compiled 718 to 244 computations (66% saved)
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