
Time bar (total: 21.0s)
| 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)
| 823.0ms | 8 256× | 0 | valid |
ival-exp: 223.0ms (52.5% of total)ival-mult: 192.0ms (45.2% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% 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 |
| 156.0ms | 512× | 0 | valid |
Compiled 55 to 24 computations (56.4% saved)
ival-mult: 47.0ms (90.2% of total)ival-exp: 4.0ms (7.7% 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 | -6144 | (exp.f64 (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x (exp.f64 (*.f64 y y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 11 | 15 |
| 0 | 11 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
x |
(exp.f64 (*.f64 y y)) |
(*.f64 y y) |
y |
| Outputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
x |
(exp.f64 (*.f64 y y)) |
(pow.f64 (exp.f64 y) y) |
(*.f64 y y) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (exp.f64 (*.f64 y y)) | |
| accuracy | 0.015625 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 161.0ms | 256× | 0 | valid |
Compiled 32 to 12 computations (62.5% saved)
ival-mult: 6.0ms (78.2% of total)ival-exp: 2.0ms (26.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
(*.f64 y y) |
(exp.f64 (*.f64 y y)) |
| Outputs |
|---|
(* x (exp (pow y 2))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
(pow y 2) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) |
(exp (pow y 2)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | ((* x (exp (* y y))) (* y y) (exp (* y y))) |
| 1.0ms | x | @ | 0 | ((* x (exp (* y y))) (* y y) (exp (* y y))) |
| 1.0ms | y | @ | inf | ((* x (exp (* y y))) (* y y) (exp (* y y))) |
| 1.0ms | x | @ | inf | ((* x (exp (* y y))) (* y y) (exp (* y y))) |
| 1.0ms | x | @ | -inf | ((* x (exp (* y y))) (* y y) (exp (* y y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 97 |
| 1 | 95 | 97 |
| 2 | 276 | 91 |
| 3 | 750 | 89 |
| 4 | 989 | 89 |
| 5 | 1161 | 89 |
| 6 | 1318 | 89 |
| 7 | 1436 | 89 |
| 8 | 1436 | 87 |
| 9 | 1767 | 87 |
| 10 | 1800 | 87 |
| 11 | 1801 | 87 |
| 12 | 1823 | 87 |
| 0 | 1823 | 75 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (exp (pow y 2))) |
x |
(+ x (* x (pow y 2))) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
(pow y 2) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) |
(exp (pow y 2)) |
| Outputs |
|---|
(* x (exp (pow y 2))) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
x |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y y) x x) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))) x) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64)))) x) |
(pow y 2) |
(*.f64 y y) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1 (* 1/2 (pow y 2))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1/2 (* 1/6 (pow y 2))))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(exp (pow y 2)) |
(pow.f64 (exp.f64 y) y) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 13 | 13 |
| 2 | 26 | 13 |
| 3 | 69 | 13 |
| 4 | 294 | 5 |
| 0 | 2666 | 5 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
(*.f64 y y) |
(exp.f64 (*.f64 y y)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
y |
#s(literal 0 binary64) |
#s(literal 1 binary64) |
Compiled 171 to 47 computations (72.5% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 13 | 4 | 17 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 13 | 5 | 18 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 x (exp.f64 (*.f64 y y))) |
| ▶ | 98.3% | (*.f64 x (exp.f64 y)) |
| ▶ | 82.2% | (*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
| ▶ | 45.8% | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
| ▶ | 82.2% | #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 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 y) | |
| cost-diff | 0 | (*.f64 x (exp.f64 y)) | |
| cost-diff | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) | |
| cost-diff | 0 | #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 | 75 |
| 0 | 24 | 75 |
| 1 | 37 | 75 |
| 2 | 41 | 75 |
| 3 | 47 | 75 |
| 4 | 47 | 75 |
| 5 | 90 | 75 |
| 6 | 90 | 75 |
| 7 | 95 | 75 |
| 8 | 96 | 75 |
| 0 | 96 | 75 |
| 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)) (fma.f64 y y #s(literal 1 binary64)))) |
x |
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 x (exp.f64 y)) |
x |
(exp.f64 y) |
y |
| Outputs |
|---|
#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)) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) x) |
x |
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(*.f64 x (exp.f64 y)) |
(*.f64 (exp.f64 y) x) |
x |
(exp.f64 y) |
y |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 y) | |
| accuracy | 0.0078125 | (*.f64 x (exp.f64 y)) | |
| accuracy | 0.0 | (fma.f64 y y #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) | |
| accuracy | 16.562036804935357 | #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) | |
| accuracy | 34.825976944653156 | #s(approx (exp (* y y)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 4.775083907804821 | (fma.f64 (*.f64 y y) x x) | |
| accuracy | 16.10600368757563 | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
| 64.0ms | 256× | 0 | valid |
Compiled 133 to 29 computations (78.2% saved)
ival-exp: 45.0ms (82.3% of total)ival-mult: 7.0ms (12.8% of total)ival-add: 2.0ms (3.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(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)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
(*.f64 x (exp.f64 y)) |
(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))))))) |
(+ x (* x y)) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(exp (pow y 2)) |
(* (pow y 2) (+ 1 (/ 1 (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)) (+ (* y y) 1) (* x (exp y)) (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)) (+ (* y y) 1) (* x (exp y)) (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)) (+ (* y y) 1) (* x (exp y)) (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)) (+ (* y y) 1) (* x (exp y)) (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)) (+ (* y y) 1) (* x (exp y)) (exp y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 192 |
| 1 | 217 | 192 |
| 2 | 545 | 184 |
| 3 | 1401 | 182 |
| 4 | 3200 | 182 |
| 0 | 8349 | 155 |
| 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))))))) |
(+ x (* x y)) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x (pow y 2)))) |
(exp (pow y 2)) |
(* (pow y 2) (+ 1 (/ 1 (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 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)) |
(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)))) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y 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))) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* x (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) |
(* (pow y 2) (+ 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(exp y) |
(exp.f64 y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 66 |
| 0 | 24 | 66 |
| 1 | 64 | 66 |
| 2 | 327 | 66 |
| 3 | 2940 | 66 |
| 0 | 8937 | 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)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64))) |
(fma.f64 y y #s(literal 1 binary64)) |
(*.f64 x (exp.f64 y)) |
(exp.f64 y) |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
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(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 y y #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (*.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (exp.f64 y) x) |
(*.f64 x (exp.f64 y)) |
(pow.f64 (exp.f64 (sqrt.f64 y)) (sqrt.f64 y)) |
(pow.f64 (E.f64) y) |
(pow.f64 (exp.f64 y) #s(literal 1 binary64)) |
(exp.f64 y) |
Compiled 10 897 to 1 476 computations (86.5% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 377 | 5 | 382 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 1 | 1 |
| Total | 378 | 9 | 387 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 x (exp.f64 (*.f64 y y))) |
| ✓ | 98.3% | (*.f64 x (exp.f64 y)) |
| ✓ | 82.2% | (*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
| ✓ | 45.8% | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
| ▶ | 87.4% | (*.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)))) |
| ▶ | 74.8% | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
| ▶ | 40.1% | #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
| ▶ | 73.8% | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) |
| ▶ | 60.2% | #s(approx (* x (exp y)) (fma.f64 y x x)) |
Compiled 171 to 114 computations (33.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x) | |
| cost-diff | 0 | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) | |
| 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 | (fma.f64 y x x) | |
| cost-diff | 0 | #s(approx (* x (exp y)) (fma.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 | 29 | 171 |
| 0 | 47 | 169 |
| 1 | 77 | 169 |
| 2 | 108 | 169 |
| 3 | 205 | 169 |
| 4 | 376 | 169 |
| 5 | 513 | 169 |
| 6 | 536 | 169 |
| 0 | 536 | 169 |
| 1× | iter limit |
| 1× | saturated |
| 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)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
#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 |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) |
(*.f64 y x) |
y |
x |
#s(literal 1/2 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)))) |
(*.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)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
#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 |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) |
(*.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) | |
| accuracy | 0.07421875 | (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x) | |
| accuracy | 16.14951470906959 | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.078125 | (fma.f64 (*.f64 y x) y x) | |
| accuracy | 16.10600368757563 | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 8.739458586712374 | (*.f64 (*.f64 y y) x) | |
| accuracy | 16.10600368757563 | #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) | |
| accuracy | 27.30744392293563 | #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x)) | |
| accuracy | 0.0 | (fma.f64 y x x) | |
| accuracy | 25.079225505672245 | #s(approx (* x (exp y)) (fma.f64 y x x)) | |
| accuracy | 0.0390625 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 0.08203125 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) | |
| accuracy | 0.2109375 | (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) | |
| accuracy | 9.298564173717734 | #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))) |
| 186.0ms | 256× | 0 | valid |
Compiled 291 to 57 computations (80.4% saved)
ival-exp: 94.0ms (63.1% of total)ival-mult: 42.0ms (28.2% of total)ival-add: 8.0ms (5.4% of total)const: 4.0ms (2.7% 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) (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)) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
#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) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
| Outputs |
|---|
(* x (exp y)) |
(* x (+ 1 y)) |
(* x (exp (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (pow y 2)) |
(* x y) |
(* x (+ 1 (* y (+ 1 (* 1/2 y))))) |
(* x (+ 1 (* 1/2 y))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* y (- (* -1/2 y) 1)) 1))) |
(* -1 (* x (- (* -1/2 y) 1))) |
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 y 2) |
(+ x (* 1/2 (* x y))) |
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 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/2 x) (/ x y))) |
(* (pow y 2) (+ (* 1/2 x) (+ (/ x y) (/ x (pow y 2))))) |
(* 1/2 (* x y)) |
(* y (+ (* 1/2 x) (/ x y))) |
(* 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))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1/2 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (* x (exp y)) (+ (* (+ (* (* y x) 1/2) x) y) x) (+ (* (* y x) 1/2) x) (+ (* 1/6 y) 1/2)) |
| 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) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (* x (exp y)) (+ (* (+ (* (* y x) 1/2) x) y) x) (+ (* (* y x) 1/2) x) (+ (* 1/6 y) 1/2)) |
| 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) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (* x (exp y)) (+ (* (+ (* (* y x) 1/2) x) y) x) (+ (* (* y x) 1/2) x) (+ (* 1/6 y) 1/2)) |
| 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) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (* x (exp y)) (+ (* (+ (* (* y x) 1/2) x) y) x) (+ (* (* y x) 1/2) x) (+ (* 1/6 y) 1/2)) |
| 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) (* x (exp y)) (+ (* y x) x) (* x (exp (* y y))) (+ (* (* y y) x) x) (* (* y y) x) (* y y) (* x (exp (* y y))) (+ (* (* y x) y) x) (* y x) (* x (exp y)) (+ (* (+ (* (* y x) 1/2) x) y) x) (+ (* (* y x) 1/2) x) (+ (* 1/6 y) 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 392 |
| 1 | 417 | 392 |
| 2 | 1163 | 376 |
| 3 | 3383 | 374 |
| 4 | 7124 | 374 |
| 0 | 8163 | 317 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (exp y)) |
(* x (+ 1 y)) |
(* x (exp (pow y 2))) |
(* x (+ 1 (pow y 2))) |
(* x (pow y 2)) |
(* x y) |
(* x (+ 1 (* y (+ 1 (* 1/2 y))))) |
(* x (+ 1 (* 1/2 y))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 (pow y 2)) 1))) |
(* -1 (* x (- (* y (- (* -1/2 y) 1)) 1))) |
(* -1 (* x (- (* -1/2 y) 1))) |
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 y 2) |
(+ x (* 1/2 (* x y))) |
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 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/2 x) (/ x y))) |
(* (pow y 2) (+ (* 1/2 x) (+ (/ x y) (/ x (pow y 2))))) |
(* 1/2 (* x y)) |
(* y (+ (* 1/2 x) (/ x y))) |
(* 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))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1/2 x)))) |
| Outputs |
|---|
(* x (exp y)) |
(*.f64 (exp.f64 y) x) |
(* x (+ 1 y)) |
(fma.f64 y x 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 y) |
(*.f64 y x) |
(* x (+ 1 (* y (+ 1 (* 1/2 y))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* 1/2 y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) 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) |
(* -1 (* x (- (* y (- (* -1/2 y) 1)) 1))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1/2 y) 1))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y x) |
x |
(+ 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)))))) |
(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 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) 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 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1/2 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(pow y 2) |
(*.f64 y y) |
(+ x (* 1/2 (* x y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y 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 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)) |
(* (pow y 3) (+ 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)) (*.f64 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 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x) |
(* (pow y 2) (+ (* 1/2 x) (/ x y))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y y) x) |
(* (pow y 2) (+ (* 1/2 x) (+ (/ x y) (/ x (pow y 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x) |
(* y (+ (* 1/2 x) (/ x y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y 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))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1/2 x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 154 |
| 0 | 47 | 152 |
| 1 | 171 | 152 |
| 2 | 1050 | 152 |
| 0 | 8157 | 152 |
| 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)) |
#s(approx (* x (exp y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
#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) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
| 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))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.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(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))) |
(pow.f64 (/.f64 #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))) #s(literal -1 binary64)) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x)) (*.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x) (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x))) |
(/.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 x (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y x) x)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y x) x))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y x) x)))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y x) |
(fma.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x)))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) x) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) x) |
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x)))) |
(+.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x) |
(+.f64 x (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))) |
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (neg.f64 y) #s(literal 1/12 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (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))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.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 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (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))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 y y) #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 9 binary64)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/1728 binary64)))) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (neg.f64 y) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (neg.f64 y) #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (*.f64 (neg.f64 y) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) |
Compiled 11 242 to 1 663 computations (85.2% saved)
19 alts after pruning (11 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 362 | 11 | 373 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 363 | 19 | 382 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 x (exp.f64 (*.f64 y y))) |
| ✓ | 98.3% | (*.f64 x (exp.f64 y)) |
| ✓ | 82.2% | (*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
| ✓ | 45.8% | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
| 87.4% | (*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) | |
| 59.3% | (*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) | |
| 88.1% | (*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64)))) | |
| 88.0% | (*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))) | |
| ▶ | 47.0% | (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))) |
| ▶ | 46.4% | (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))) |
| ▶ | 89.4% | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)) |
| ✓ | 74.8% | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
| ✓ | 40.1% | #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
| 32.8% | #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) | |
| ✓ | 73.8% | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) |
| ▶ | 83.0% | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
| ✓ | 60.2% | #s(approx (* x (exp y)) (fma.f64 y x x)) |
| 48.2% | #s(approx (* x (exp y)) (/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (-.f64 x (*.f64 y x)))) | |
| ▶ | 60.2% | #s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
Compiled 579 to 390 computations (32.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) | |
| cost-diff | 0 | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)) | |
| cost-diff | 0 | #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))) | |
| cost-diff | 0 | (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))) | |
| cost-diff | 0 | (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) | |
| cost-diff | 128 | (+.f64 (*.f64 y x) x) | |
| cost-diff | 0 | (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x) | |
| cost-diff | 0 | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 301 |
| 0 | 56 | 301 |
| 1 | 102 | 295 |
| 2 | 208 | 295 |
| 3 | 476 | 295 |
| 4 | 838 | 295 |
| 5 | 1043 | 295 |
| 6 | 1140 | 295 |
| 7 | 1140 | 295 |
| 8 | 1140 | 295 |
| 9 | 1164 | 295 |
| 10 | 1164 | 295 |
| 0 | 1164 | 287 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)) |
(fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x) |
(*.f64 y x) |
y |
x |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1/2 binary64) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y x) x) |
(*.f64 y x) |
y |
x |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))) |
x |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
y |
#s(literal 1/2 binary64) |
(*.f64 y y) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))) |
x |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))) |
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
y |
#s(literal 1/2 binary64) |
(*.f64 y y) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) |
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) |
x |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
y |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)) |
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) (*.f64 y x) x)) |
(fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) (*.f64 y x) x) |
(*.f64 y x) |
y |
x |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1/2 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 |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))) |
(*.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))) x) |
x |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))) |
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)) |
(*.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
y |
#s(literal 1/2 binary64) |
(*.f64 y y) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))) |
(*.f64 #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y))) x) |
x |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))) |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y))) |
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)) |
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y) |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
y |
#s(literal 1/2 binary64) |
(*.f64 y y) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y x) y x)) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y x) y x) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y x) |
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) |
x |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
y |
#s(literal 1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0703125 | (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) | |
| accuracy | 0.09375 | (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) | |
| accuracy | 0.2109375 | (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) | |
| accuracy | 10.123674048443355 | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) | |
| accuracy | 0.0703125 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y) | |
| accuracy | 0.2109375 | (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) | |
| accuracy | 9.298564173717734 | #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))) | |
| accuracy | 27.07846391930511 | #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)) | |
| accuracy | 0.0859375 | (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)) | |
| accuracy | 0.2109375 | (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) | |
| accuracy | 9.298564173717734 | #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))) | |
| accuracy | 27.445626916874446 | #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.01171875 | (+.f64 (*.f64 y x) x) | |
| accuracy | 25.079225505672245 | #s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) | |
| accuracy | 0.0 | (pow.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.9613576752481585 | (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x) | |
| accuracy | 7.7059825343086255 | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)) |
| 107.0ms | 256× | 0 | valid |
Compiled 487 to 73 computations (85% saved)
ival-mult: 70.0ms (77.3% of total)ival-add: 9.0ms (9.9% of total)ival-exp: 5.0ms (5.5% of total)const: 3.0ms (3.3% of total)ival-pow: 3.0ms (3.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)) |
(fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x) |
(*.f64 y x) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) |
(+.f64 (*.f64 y x) x) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))) |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))) |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))) |
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 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)) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) |
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
| Outputs |
|---|
(* x (exp (pow y 2))) |
(* x (+ 1 (* y (+ y (* 1/2 (pow y 3)))))) |
(* x y) |
(* x (+ 1 y)) |
(* x (exp y)) |
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))) |
(* x (+ 1 (* y (+ 1/2 (* 1/6 y))))) |
(* x (+ 1/2 (* 1/6 y))) |
(* -1 (* x (- (* -1 (* y (+ y (* 1/2 (pow y 3))))) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1))) |
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1))) |
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)))))) |
y |
(* y (+ 1 (* 1/2 (pow y 2)))) |
(+ x (* x y)) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (* 1/6 y))) |
(* y (+ 1 (* 1/2 y))) |
(* y (+ 1 (* y (+ 1/2 (* 1/6 y))))) |
(+ x (* 1/2 (* x y))) |
(+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))) |
(* 1/2 x) |
(+ (* 1/6 (* x y)) (* 1/2 x)) |
(pow y 3) |
1/2 |
(+ 1/2 (* 1/6 y)) |
(* 1/2 (* x (pow y 4))) |
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2)))) |
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4))))) |
(* 1/2 (pow y 3)) |
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2)))) |
(* y (+ x (/ x y))) |
(exp y) |
(* 1/6 (pow y 3)) |
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y)))) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(* 1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (+ (/ x (pow y 2)) (/ x (pow y 3)))))) |
(* 1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(* (pow y 2) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2))))) |
(* 1/6 (* x y)) |
(* y (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6))) |
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ x y)) y)) (* -1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* -1/6 x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 x)) y)) (* 1/6 x))) |
(* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | y | @ | inf | ((* x (exp (* y y))) (+ (* (* y x) (+ (* (pow y 3) 1/2) y)) x) (* y x) (+ (* (pow y 3) 1/2) y) (+ (* y x) x) (* x (exp y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* 1/6 y) 1/2) (* y y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) (* y y)) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (pow y 3) (+ (* 1/6 y) 1/2)) |
| 5.0ms | x | @ | inf | ((* x (exp (* y y))) (+ (* (* y x) (+ (* (pow y 3) 1/2) y)) x) (* y x) (+ (* (pow y 3) 1/2) y) (+ (* y x) x) (* x (exp y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* 1/6 y) 1/2) (* y y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) (* y y)) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (pow y 3) (+ (* 1/6 y) 1/2)) |
| 4.0ms | x | @ | 0 | ((* x (exp (* y y))) (+ (* (* y x) (+ (* (pow y 3) 1/2) y)) x) (* y x) (+ (* (pow y 3) 1/2) y) (+ (* y x) x) (* x (exp y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* 1/6 y) 1/2) (* y y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) (* y y)) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (pow y 3) (+ (* 1/6 y) 1/2)) |
| 4.0ms | x | @ | -inf | ((* x (exp (* y y))) (+ (* (* y x) (+ (* (pow y 3) 1/2) y)) x) (* y x) (+ (* (pow y 3) 1/2) y) (+ (* y x) x) (* x (exp y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* 1/6 y) 1/2) (* y y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) (* y y)) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (pow y 3) (+ (* 1/6 y) 1/2)) |
| 3.0ms | y | @ | -inf | ((* x (exp (* y y))) (+ (* (* y x) (+ (* (pow y 3) 1/2) y)) x) (* y x) (+ (* (pow y 3) 1/2) y) (+ (* y x) x) (* x (exp y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (* (+ (* 1/6 y) 1/2) (* y y)) (* x (exp y)) (exp y) (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (+ (* (+ (* 1/6 y) 1/2) (* y y)) y) (* x (exp y)) (+ (* (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) y) x) (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (* x (+ (* 1/6 y) 1/2)) (pow y 3) (+ (* 1/6 y) 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 634 |
| 1 | 576 | 627 |
| 2 | 1837 | 604 |
| 3 | 4770 | 601 |
| 0 | 8170 | 527 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (exp (pow y 2))) |
(* x (+ 1 (* y (+ y (* 1/2 (pow y 3)))))) |
(* x y) |
(* x (+ 1 y)) |
(* x (exp y)) |
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))) |
(* x (+ 1 (* y (+ 1/2 (* 1/6 y))))) |
(* x (+ 1/2 (* 1/6 y))) |
(* -1 (* x (- (* -1 (* y (+ y (* 1/2 (pow y 3))))) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1))) |
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1))) |
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)))))) |
y |
(* y (+ 1 (* 1/2 (pow y 2)))) |
(+ x (* x y)) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(* 1/2 (pow y 2)) |
(* (pow y 2) (+ 1/2 (* 1/6 y))) |
(* y (+ 1 (* 1/2 y))) |
(* y (+ 1 (* y (+ 1/2 (* 1/6 y))))) |
(+ x (* 1/2 (* x y))) |
(+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))) |
(* 1/2 x) |
(+ (* 1/6 (* x y)) (* 1/2 x)) |
(pow y 3) |
1/2 |
(+ 1/2 (* 1/6 y)) |
(* 1/2 (* x (pow y 4))) |
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2)))) |
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4))))) |
(* 1/2 (pow y 3)) |
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2)))) |
(* y (+ x (/ x y))) |
(exp y) |
(* 1/6 (pow y 3)) |
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y)))) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(* 1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (+ (/ x (pow y 2)) (/ x (pow y 3)))))) |
(* 1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(* (pow y 2) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2))))) |
(* 1/6 (* x y)) |
(* y (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6))) |
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ x y)) y)) (* -1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* -1/6 x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 x)) y)) (* 1/6 x))) |
(* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 x)))) |
| Outputs |
|---|
(* x (exp (pow y 2))) |
(*.f64 (pow.f64 (exp.f64 y) y) x) |
(* x (+ 1 (* y (+ y (* 1/2 (pow y 3)))))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (exp y)) |
(*.f64 (exp.f64 y) x) |
(* x (+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y))))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x) |
(* x (+ 1 (* y (+ 1/2 (* 1/6 y))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) |
(* x (+ 1/2 (* 1/6 y))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) |
(* -1 (* x (- (* -1 (* y (+ y (* 1/2 (pow y 3))))) 1))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* y (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1)) 1))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) y x) |
(* -1 (* x (- (* -1 (* y (+ 1/2 (* 1/6 y)))) 1))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) |
x |
(+ x (* x (pow y 2))) |
(fma.f64 (*.f64 y x) y x) |
(+ x (* (pow y 2) (+ x (* 1/2 (* x (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* x (pow y 2))) (* 1/2 x)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 y x) y x)) |
y |
(* y (+ 1 (* 1/2 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (+ x (* 1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x) |
(+ x (* y (+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) 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)) |
(* 1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/2 binary64)) |
(* (pow y 2) (+ 1/2 (* 1/6 y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) |
(* y (+ 1 (* 1/2 y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* y (+ 1/2 (* 1/6 y))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) |
(+ x (* 1/2 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) |
(+ x (* y (+ (* 1/6 (* x y)) (* 1/2 x)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/6 (* x y)) (* 1/2 x)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 y)) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
(* 1/2 (* x (pow y 4))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/2 binary64)) |
(* (pow y 4) (+ (* 1/2 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (*.f64 y y))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* 1/2 x) (+ (/ x (pow y 2)) (/ x (pow y 4))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (*.f64 y y)))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/2 (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(* (pow y 3) (+ 1/2 (/ 1 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(exp y) |
(exp.f64 y) |
(* 1/6 (pow y 3)) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 3) (+ 1/6 (* 1/2 (/ 1 y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y) |
(* (pow y 3) (+ 1/6 (+ (* 1/2 (/ 1 y)) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* 1/6 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/6 binary64)) |
(* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) x) |
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (+ (/ x (pow y 2)) (/ x (pow y 3)))))) |
(*.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (pow.f64 y #s(literal 3 binary64))) |
(* 1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y) |
(* (pow y 2) (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y) |
(* (pow y 2) (+ (* 1/6 x) (+ (* 1/2 (/ x y)) (/ x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x y)) y)) y) y) |
(* 1/6 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 1/6 binary64)) |
(* y (+ (* 1/6 x) (* 1/2 (/ x y)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(* y (+ 1/6 (* 1/2 (/ 1 y)))) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (/ 1 y)) y)) 1/6))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1/6))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 x)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y) x) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 x) (/ x y)) y)) (* -1/6 x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)) (* 1/2 x)) y)) (* -1/6 x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) x) y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1/2 x)) y)) (* 1/6 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x y)) y)) y) y) |
(* -1 (* y (+ (* -1/2 (/ x y)) (* -1/6 x)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 266 |
| 0 | 56 | 266 |
| 1 | 209 | 260 |
| 2 | 1499 | 260 |
| 0 | 8160 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)) |
(fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x) |
(*.f64 y x) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) |
(+.f64 (*.f64 y x) x) |
#s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))) |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))) |
#s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y))) |
#s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 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)) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) |
(*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) (*.f64 y x) x)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) y) y) x)))) |
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(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) (*.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/6 binary64) y) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (*.f64 y y) y) |
(*.f64 y (*.f64 y y)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 y)) |
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64)) |
(pow.f64 y #s(literal 3 binary64)) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 3/2 binary64) (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))) |
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (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))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.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 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (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))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/12 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) |
(fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) |
(fma.f64 y #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) y) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) |
Compiled 19 548 to 2 392 computations (87.8% saved)
21 alts after pruning (11 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 535 | 9 | 544 |
| Fresh | 4 | 2 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 8 | 8 |
| Total | 542 | 21 | 563 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 x (exp.f64 (*.f64 y y))) |
| ✓ | 98.3% | (*.f64 x (exp.f64 y)) |
| ✓ | 82.2% | (*.f64 x #s(approx (exp (* y y)) (fma.f64 y y #s(literal 1 binary64)))) |
| ✓ | 45.8% | (*.f64 x #s(approx (exp (* y y)) #s(literal 1 binary64))) |
| 47.0% | (*.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)))) | |
| 47.2% | (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))) | |
| ✓ | 46.4% | (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))) |
| 46.4% | (*.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)))) | |
| 46.2% | (*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y))))) | |
| 89.4% | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) x)) | |
| ✓ | 74.8% | #s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) y x)) |
| ✓ | 40.1% | #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y y) x))) |
| 32.8% | #s(approx (* x (exp (* y y))) #s(approx (+ (* (* y y) x) x) (*.f64 (*.f64 y x) y))) | |
| 83.0% | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) x) y x)) | |
| 84.5% | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x x) y x)) | |
| ✓ | 73.8% | #s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) |
| 83.7% | #s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y)) y x)) | |
| 83.6% | #s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) y x)) | |
| ✓ | 60.2% | #s(approx (* x (exp y)) (fma.f64 y x x)) |
| 48.2% | #s(approx (* x (exp y)) (/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (-.f64 x (*.f64 y x)))) | |
| ✓ | 60.2% | #s(approx (* x (exp y)) (+.f64 (*.f64 y x) x)) |
Compiled 982 to 412 computations (58% 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)) |
#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 y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y))))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y)) 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)))) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) 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 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) x)) |
#s(approx (* x (exp y)) (/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (-.f64 x (*.f64 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 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(*.f64 x (exp.f64 y)) |
(*.f64 x (exp.f64 (*.f64 y y))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64) y) x)) |
| Outputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
5 calls:
| 11.0ms | (*.f64 y y) |
| 10.0ms | x |
| 8.0ms | y |
| 8.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 6.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 100.0% | 1 | (exp.f64 (*.f64 y y)) |
| 100.0% | 1 | (*.f64 y y) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
(*.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)) |
#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 y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y))))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y)) 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)))) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) 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 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) x)) |
#s(approx (* x (exp y)) (/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (-.f64 x (*.f64 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 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(*.f64 x (exp.f64 y)) |
| Outputs |
|---|
(*.f64 x (exp.f64 y)) |
5 calls:
| 9.0ms | x |
| 8.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 8.0ms | y |
| 7.0ms | (*.f64 y y) |
| 6.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | x |
| 98.3% | 1 | y |
| 98.3% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 98.3% | 1 | (exp.f64 (*.f64 y y)) |
| 98.3% | 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)) |
#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 y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y))))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y)) 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)))) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) 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 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) x)) |
#s(approx (* x (exp y)) (/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (-.f64 x (*.f64 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 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))))) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (exp y) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) y #s(literal -1/2 binary64)))) y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) x)) |
5 calls:
| 41.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 12.0ms | x |
| 7.0ms | y |
| 7.0ms | (*.f64 y y) |
| 5.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 1 | x |
| 89.4% | 1 | y |
| 89.4% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 89.4% | 1 | (exp.f64 (*.f64 y y)) |
| 89.4% | 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)) |
#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 y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y))))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y)) 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)))) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64))) y x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) x x) y x)) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y x) 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 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64)))) |
5 calls:
| 9.0ms | (*.f64 y y) |
| 6.0ms | x |
| 6.0ms | y |
| 6.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 5.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.1% | 1 | x |
| 88.1% | 1 | y |
| 88.1% | 1 | (*.f64 y y) |
| 88.1% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 88.1% | 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)) |
#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 y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y))))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y))))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) x) y)) 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)))) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 y y) y)))) |
| Outputs |
|---|
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))) |
5 calls:
| 8.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 8.0ms | (*.f64 y y) |
| 5.0ms | x |
| 5.0ms | y |
| 4.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 1 | x |
| 88.0% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 88.0% | 1 | (exp.f64 (*.f64 y y)) |
| 88.0% | 1 | y |
| 88.0% | 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)) |
#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 y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y))))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y) y)))) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) (*.f64 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)))) |
5 calls:
| 5.0ms | y |
| 4.0ms | x |
| 4.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 4.0ms | (*.f64 y y) |
| 3.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 1 | x |
| 88.5% | 2 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 88.5% | 2 | (exp.f64 (*.f64 y y)) |
| 88.5% | 2 | y |
| 88.5% | 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)) |
#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 y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) |
(*.f64 x #s(approx (exp y) #s(approx (+ (* (+ (* (+ (* 1/6 y) 1/2) y) 1) y) 1) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y))))) |
#s(approx (* x (exp y)) (fma.f64 #s(approx (+ (* (* x (+ (* 1/6 y) 1/2)) y) x) (*.f64 (*.f64 (*.f64 y x) #s(literal 1/6 binary64)) y)) 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) (*.f64 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y))))) |
4 calls:
| 4.0ms | y |
| 3.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 3.0ms | (*.f64 y y) |
| 3.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.5% | 2 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 88.5% | 2 | (exp.f64 (*.f64 y y)) |
| 88.5% | 2 | y |
| 88.5% | 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)) |
#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 y)) (fma.f64 y y #s(literal 1 binary64)))) |
#s(approx (* x (exp y)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) x) y x)) |
| Outputs |
|---|
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
5 calls:
| 4.0ms | (*.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 |
|---|---|---|
| 82.2% | 1 | x |
| 82.2% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 82.2% | 1 | (exp.f64 (*.f64 y y)) |
| 82.2% | 1 | y |
| 82.2% | 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)) |
#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:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 2.0ms | (*.f64 y y) |
| 2.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 1 | x |
| 82.2% | 2 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 82.2% | 2 | (exp.f64 (*.f64 y y)) |
| 82.2% | 2 | y |
| 82.2% | 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)) |
#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:
| 3.0ms | (*.f64 y y) |
| 2.0ms | y |
| 2.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 2.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 2 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 81.7% | 2 | (exp.f64 (*.f64 y y)) |
| 81.7% | 2 | y |
| 81.7% | 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)) |
#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 | y |
| 2.0ms | x |
| 2.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 2.0ms | (*.f64 y y) |
| 2.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.2% | 1 | x |
| 74.3% | 2 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 74.3% | 2 | (exp.f64 (*.f64 y y)) |
| 74.3% | 2 | y |
| 74.3% | 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)) |
| Outputs |
|---|
#s(approx (* x (exp y)) (fma.f64 y x x)) |
5 calls:
| 2.0ms | y |
| 2.0ms | x |
| 1.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.2% | 1 | x |
| 60.2% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 60.2% | 1 | (exp.f64 (*.f64 y y)) |
| 60.2% | 1 | (*.f64 y y) |
| 60.2% | 1 | 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 | y |
| 1.0ms | x |
| 1.0ms | (*.f64 x (exp.f64 (*.f64 y y))) |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (exp.f64 (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.8% | 1 | (*.f64 x (exp.f64 (*.f64 y y))) |
| 45.8% | 1 | (exp.f64 (*.f64 y y)) |
| 45.8% | 1 | (*.f64 y y) |
| 45.8% | 1 | y |
| 45.8% | 1 | x |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8287525538704856 | 680036350048293.6 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8287525538704856 | 680036350048293.6 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9723808794264693e+121 | 9.88828475932697e+131 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.8287525538704856 | 680036350048293.6 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 0.9103584754757247 | 26077506.59185601 |
| 28.0ms | 144× | 0 | valid |
Compiled 261 to 190 computations (27.2% saved)
ival-mult: 23.0ms (91.3% of total)ival-exp: 2.0ms (7.9% 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 | 72 | 309 |
| 1 | 89 | 309 |
| 2 | 110 | 309 |
| 3 | 180 | 309 |
| 4 | 325 | 309 |
| 5 | 428 | 309 |
| 6 | 450 | 309 |
| 7 | 450 | 309 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (exp.f64 (*.f64 y y))) |
(*.f64 x (exp.f64 y)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) x)) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 y y) #s(literal 1 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))))) |
(if (<=.f64 (*.f64 y y) #s(literal 1 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 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
(if (<=.f64 (*.f64 y y) #s(literal 50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 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 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 (exp.f64 (*.f64 y y))) |
(*.f64 x (exp.f64 y)) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64) y) x)) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y)) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (exp y) (fma.f64 #s(approx (+ (* (+ (* 1/6 y) 1/2) y) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)) y #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 y y) #s(literal 1 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))))) |
(if (<=.f64 (*.f64 y y) #s(literal 1 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 #s(approx (+ (* 1/6 y) 1/2) (*.f64 #s(literal 1/6 binary64) y)) (*.f64 y y)))))) |
#s(approx (* x (exp (* y y))) (fma.f64 (*.f64 y y) x x)) |
(if (<=.f64 (*.f64 y y) #s(literal 50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 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 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 | 38 | 266 |
| 0 | 56 | 266 |
| 1 | 209 | 260 |
| 2 | 1499 | 260 |
| 0 | 8160 | 252 |
| 0 | 128 | 392 |
| 1 | 417 | 392 |
| 2 | 1163 | 376 |
| 3 | 3383 | 374 |
| 4 | 7124 | 374 |
| 0 | 8163 | 317 |
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 13 | 13 |
| 2 | 26 | 13 |
| 3 | 69 | 13 |
| 4 | 294 | 5 |
| 0 | 2666 | 5 |
| 0 | 174 | 634 |
| 1 | 576 | 627 |
| 2 | 1837 | 604 |
| 3 | 4770 | 601 |
| 0 | 8170 | 527 |
| 0 | 29 | 154 |
| 0 | 47 | 152 |
| 1 | 171 | 152 |
| 2 | 1050 | 152 |
| 0 | 8157 | 152 |
| 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 | 70 | 192 |
| 1 | 217 | 192 |
| 2 | 545 | 184 |
| 3 | 1401 | 182 |
| 4 | 3200 | 182 |
| 0 | 8349 | 155 |
| 0 | 16 | 66 |
| 0 | 24 | 66 |
| 1 | 64 | 66 |
| 2 | 327 | 66 |
| 3 | 2940 | 66 |
| 0 | 8937 | 66 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node 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× | node limit |
| 1× | iter limit |
Compiled 531 to 257 computations (51.6% saved)
(negabs x)
(abs y)
Compiled 690 to 210 computations (69.6% saved)
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