
Time bar (total: 3.5s)
| 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 11 to 10 computations (9.1% saved)
| 431.0ms | 8 256× | 0 | valid |
ival-mult: 149.0ms (60.8% of total)ival-sub: 46.0ms (18.8% of total)ival-add: 36.0ms (14.7% of total)ival-true: 6.0ms (2.4% of total)exact: 5.0ms (2% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 5 | 0 | - | 0 | - | (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 z (-.f64 #s(literal 1 binary64) y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 x y) | overflow | 32 | |
| ↳ | (*.f64 z (-.f64 #s(literal 1 binary64) y)) | overflow | 31 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5 | 0 |
| - | 0 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5 | 0 | 0 |
| - | 0 | 0 | 251 |
| number | freq |
|---|---|
| 0 | 251 |
| 1 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-mult: 7.0ms (51.1% of total)ival-add: 4.0ms (29.2% of total)ival-sub: 3.0ms (21.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 88 |
| 1 | 77 | 84 |
| 2 | 160 | 83 |
| 3 | 269 | 83 |
| 4 | 331 | 83 |
| 5 | 340 | 83 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 20 | 9 |
| 2 | 34 | 9 |
| 3 | 54 | 9 |
| 4 | 75 | 9 |
| 5 | 79 | 9 |
| 6 | 82 | 9 |
| 0 | 82 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 y x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.0% | (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 z (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 1 | (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 20 | 24 |
| 2 | 34 | 24 |
| 3 | 54 | 24 |
| 4 | 75 | 24 |
| 5 | 79 | 24 |
| 6 | 82 | 24 |
| 0 | 82 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x y) |
x |
y |
(*.f64 z (-.f64 #s(literal 1 binary64) y)) |
z |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 z (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
z |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.0078125 | (*.f64 z (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 1.058591685830206 | (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
| 12.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-mult: 3.0ms (52.3% of total)ival-sub: 1.0ms (17.4% of total)ival-add: 1.0ms (17.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x y) |
(*.f64 z (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(* z (- 1 y)) |
(+ (* x y) (* z (- 1 y))) |
(* x y) |
(* x (+ y (/ (* z (- 1 y)) x))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x))))) |
z |
(+ z (* y (+ x (* -1 z)))) |
(+ z (* -1 (* y z))) |
1 |
(+ 1 (* -1 y)) |
(* y (+ x (* -1 z))) |
(* y (+ x (+ (* -1 z) (/ z y)))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ z y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (* y (+ z (* -1 x)))) |
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y)))))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* z (- (+ 1 (/ (* x y) z)) y)) |
(* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((+ (* x y) (* z (- 1 y))) (* x y) (* z (- 1 y)) (- 1 y)) |
| 1.0ms | y | @ | -inf | ((+ (* x y) (* z (- 1 y))) (* x y) (* z (- 1 y)) (- 1 y)) |
| 1.0ms | y | @ | 0 | ((+ (* x y) (* z (- 1 y))) (* x y) (* z (- 1 y)) (- 1 y)) |
| 1.0ms | y | @ | inf | ((+ (* x y) (* z (- 1 y))) (* x y) (* z (- 1 y)) (- 1 y)) |
| 1.0ms | z | @ | inf | ((+ (* x y) (* z (- 1 y))) (* x y) (* z (- 1 y)) (- 1 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 134 |
| 1 | 208 | 115 |
| 2 | 637 | 115 |
| 3 | 1973 | 115 |
| 4 | 4269 | 114 |
| 0 | 8293 | 106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (- 1 y)) |
(+ (* x y) (* z (- 1 y))) |
(* x y) |
(* x (+ y (/ (* z (- 1 y)) x))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x))))) |
z |
(+ z (* y (+ x (* -1 z)))) |
(+ z (* -1 (* y z))) |
1 |
(+ 1 (* -1 y)) |
(* y (+ x (* -1 z))) |
(* y (+ x (+ (* -1 z) (/ z y)))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ z y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (* y (+ z (* -1 x)))) |
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y)))))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* z (- (+ 1 (/ (* x y) z)) y)) |
(* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z))))) |
| Outputs |
|---|
(* z (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(+ (* x y) (* z (- 1 y))) |
(fma.f64 (-.f64 x z) y z) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (* z (- 1 y)) x))) |
(fma.f64 (-.f64 x z) y z) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x))))) |
(fma.f64 (-.f64 x z) y z) |
z |
(+ z (* y (+ x (* -1 z)))) |
(fma.f64 (-.f64 x z) y z) |
(+ z (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (+ x (* -1 z))) |
(*.f64 (-.f64 x z) y) |
(* y (+ x (+ (* -1 z) (/ z y)))) |
(fma.f64 (-.f64 x z) y z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* y (+ (* -1 z) (/ z y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ z (* -1 x)))) |
(*.f64 (-.f64 x z) y) |
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y)))))) |
(fma.f64 (-.f64 x z) y z) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
(* z (- (+ 1 (/ (* x y) z)) y)) |
(fma.f64 (-.f64 x z) y z) |
(* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z))))) |
(fma.f64 (-.f64 x z) y z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 0 | 12 | 20 |
| 1 | 46 | 20 |
| 2 | 315 | 20 |
| 3 | 3433 | 20 |
| 0 | 8517 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x y) |
(*.f64 z (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 y x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) y (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 #s(literal 1 binary64) y) z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 #s(literal 1 binary64) y) z))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (*.f64 (fma.f64 (neg.f64 x) y (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (neg.f64 x) y (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 #s(literal 1 binary64) y) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 (neg.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (fma.f64 y y y) z) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) y (*.f64 (-.f64 #s(literal 1 binary64) y) z)))) |
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(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
Compiled 9 202 to 1 053 computations (88.6% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 407 | 3 | 410 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 408 | 3 | 411 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | #s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z)) |
| ▶ | 63.4% | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) |
| ▶ | 60.4% | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
Compiled 46 to 34 computations (26.1% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | (fma.f64 (-.f64 x z) y z) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z)) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | (*.f64 (-.f64 x z) y) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 80 |
| 0 | 21 | 80 |
| 1 | 31 | 80 |
| 2 | 50 | 80 |
| 3 | 78 | 80 |
| 4 | 110 | 80 |
| 5 | 118 | 80 |
| 6 | 123 | 80 |
| 0 | 123 | 77 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) |
(*.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z)) |
(fma.f64 (-.f64 x z) y z) |
(-.f64 x z) |
x |
z |
y |
| Outputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) |
(*.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z)) |
(fma.f64 (-.f64 x z) y z) |
(-.f64 x z) |
x |
z |
y |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 (-.f64 x z) y z) | |
| accuracy | 0.0 | (-.f64 x z) | |
| accuracy | 0.0 | #s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z)) | |
| accuracy | 0.0 | (-.f64 x z) | |
| accuracy | 0.0 | (*.f64 (-.f64 x z) y) | |
| accuracy | 23.399124555786464 | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 25.324766916411697 | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| 20.0ms | 256× | 0 | valid |
Compiled 64 to 14 computations (78.1% saved)
ival-mult: 6.0ms (57.4% of total)ival-sub: 2.0ms (19.1% of total)ival-add: 2.0ms (19.1% 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 y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) |
(*.f64 (-.f64 x z) y) |
(-.f64 x z) |
#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z)) |
(fma.f64 (-.f64 x z) y z) |
| Outputs |
|---|
(* z (- 1 y)) |
(+ (* x y) (* z (- 1 y))) |
(* -1 (* y z)) |
(+ (* -1 (* y z)) (* x y)) |
(* -1 z) |
(- x z) |
(+ z (* -1 (* y z))) |
(+ z (+ (* -1 (* y z)) (* x y))) |
(* x y) |
(* x (+ y (/ (* z (- 1 y)) x))) |
(* x (+ y (* -1 (/ (* y z) x)))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x))))) |
(* -1 (* x (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x))))) |
z |
(+ z (* y (+ x (* -1 z)))) |
1 |
(+ 1 (* -1 y)) |
(* y (- x z)) |
(+ z (* y (- x z))) |
(* y (+ x (* -1 z))) |
(* y (+ x (+ (* -1 z) (/ z y)))) |
(* y (+ (* -1 z) (/ z y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (+ x (/ z y)) z)) |
(* -1 (* y (+ z (* -1 x)))) |
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y)))))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (- x z)) (* -1 (/ z y))))) |
(+ x (* -1 z)) |
(+ (* x y) (* z (+ 1 (* -1 y)))) |
(* z (- (+ 1 (/ (* x y) z)) y)) |
(* z (+ (* -1 y) (/ (* x y) z))) |
(* z (- (/ x z) 1)) |
(* z (+ 1 (* -1 y))) |
(* z (+ 1 (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ y (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (- y 1))) |
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | x | @ | inf | ((+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (+ (* x y) (* z (- 1 y))) (+ (* (- x z) y) z)) |
| 1.0ms | x | @ | -inf | ((+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (+ (* x y) (* z (- 1 y))) (+ (* (- x z) y) z)) |
| 1.0ms | y | @ | inf | ((+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (+ (* x y) (* z (- 1 y))) (+ (* (- x z) y) z)) |
| 1.0ms | y | @ | -inf | ((+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (+ (* x y) (* z (- 1 y))) (+ (* (- x z) y) z)) |
| 1.0ms | z | @ | -inf | ((+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (+ (* x y) (* z (- 1 y))) (+ (* (- x z) y) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 298 |
| 1 | 418 | 239 |
| 2 | 1345 | 239 |
| 3 | 3771 | 239 |
| 4 | 6193 | 239 |
| 0 | 8316 | 222 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (- 1 y)) |
(+ (* x y) (* z (- 1 y))) |
(* -1 (* y z)) |
(+ (* -1 (* y z)) (* x y)) |
(* -1 z) |
(- x z) |
(+ z (* -1 (* y z))) |
(+ z (+ (* -1 (* y z)) (* x y))) |
(* x y) |
(* x (+ y (/ (* z (- 1 y)) x))) |
(* x (+ y (* -1 (/ (* y z) x)))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x))))) |
(* -1 (* x (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x))))) |
z |
(+ z (* y (+ x (* -1 z)))) |
1 |
(+ 1 (* -1 y)) |
(* y (- x z)) |
(+ z (* y (- x z))) |
(* y (+ x (* -1 z))) |
(* y (+ x (+ (* -1 z) (/ z y)))) |
(* y (+ (* -1 z) (/ z y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (+ x (/ z y)) z)) |
(* -1 (* y (+ z (* -1 x)))) |
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y)))))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (- x z)) (* -1 (/ z y))))) |
(+ x (* -1 z)) |
(+ (* x y) (* z (+ 1 (* -1 y)))) |
(* z (- (+ 1 (/ (* x y) z)) y)) |
(* z (+ (* -1 y) (/ (* x y) z))) |
(* z (- (/ x z) 1)) |
(* z (+ 1 (* -1 y))) |
(* z (+ 1 (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ y (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (- y 1))) |
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1))) |
| Outputs |
|---|
(* z (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(+ (* x y) (* z (- 1 y))) |
(fma.f64 (-.f64 x z) y z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(+ (* -1 (* y z)) (* x y)) |
(*.f64 (-.f64 x z) y) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(+ z (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(+ z (+ (* -1 (* y z)) (* x y))) |
(fma.f64 (-.f64 x z) y z) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (* z (- 1 y)) x))) |
(fma.f64 (-.f64 x z) y z) |
(* x (+ y (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 x z) y) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x)))) |
(fma.f64 (-.f64 x z) y z) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x))))) |
(fma.f64 (-.f64 x z) y z) |
(* -1 (* x (+ (* -1 y) (/ (* y z) x)))) |
(*.f64 (-.f64 x z) y) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x))))) |
(fma.f64 (-.f64 x z) y z) |
z |
(+ z (* y (+ x (* -1 z)))) |
(fma.f64 (-.f64 x z) y z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- x z)) |
(*.f64 (-.f64 x z) y) |
(+ z (* y (- x z))) |
(fma.f64 (-.f64 x z) y z) |
(* y (+ x (* -1 z))) |
(*.f64 (-.f64 x z) y) |
(* y (+ x (+ (* -1 z) (/ z y)))) |
(fma.f64 (-.f64 x z) y z) |
(* y (+ (* -1 z) (/ z y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(* y (- (+ x (/ z y)) z)) |
(fma.f64 (-.f64 x z) y z) |
(* -1 (* y (+ z (* -1 x)))) |
(*.f64 (-.f64 x z) y) |
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y)))))) |
(fma.f64 (-.f64 x z) y z) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (- x z)) (* -1 (/ z y))))) |
(fma.f64 (-.f64 x z) y z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ (* x y) (* z (+ 1 (* -1 y)))) |
(fma.f64 (-.f64 x z) y z) |
(* z (- (+ 1 (/ (* x y) z)) y)) |
(fma.f64 (-.f64 x z) y z) |
(* z (+ (* -1 y) (/ (* x y) z))) |
(*.f64 (-.f64 x z) y) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* z (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* z (+ 1 (+ (* -1 y) (/ (* x y) z)))) |
(fma.f64 (-.f64 x z) y z) |
(* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z))))) |
(fma.f64 (-.f64 x z) y z) |
(* -1 (* z (+ y (* -1 (/ (* x y) z))))) |
(*.f64 (-.f64 x z) y) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
(* -1 (* z (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1))) |
(fma.f64 (-.f64 x z) y z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 68 |
| 0 | 21 | 68 |
| 1 | 79 | 68 |
| 2 | 554 | 68 |
| 3 | 6449 | 68 |
| 0 | 8360 | 65 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) |
(*.f64 (-.f64 x z) y) |
(-.f64 x z) |
#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z)) |
(fma.f64 (-.f64 x z) y z) |
| Outputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) z) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(*.f64 z (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) z) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (*.f64 z (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) z) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(neg.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (*.f64 (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (fma.f64 (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y))))))) |
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(fma.f64 y (/.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) (-.f64 (*.f64 (-.f64 x z) y) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (-.f64 x z) y) z))) |
(fma.f64 y (*.f64 #s(literal 1 binary64) (-.f64 x z)) z) |
(fma.f64 y (-.f64 x z) z) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (-.f64 x z) y))) (/.f64 (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64)) (-.f64 z (*.f64 (-.f64 x z) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x z) y) z)) (*.f64 z (/.f64 z (-.f64 (*.f64 (-.f64 x z) y) z)))) |
(-.f64 z (*.f64 (neg.f64 y) (-.f64 x z))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (*.f64 (-.f64 x z) y)) z (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 3 binary64)) (fma.f64 (-.f64 z (*.f64 (-.f64 x z) y)) z (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 3 binary64)) (fma.f64 (-.f64 z (*.f64 (-.f64 x z) y)) z (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (*.f64 (-.f64 x z) y)) z (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x z) y) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (-.f64 x z) y) z))) |
(+.f64 (*.f64 (-.f64 x z) y) z) |
(+.f64 z (*.f64 (neg.f64 (neg.f64 y)) (-.f64 x z))) |
(+.f64 z (*.f64 (-.f64 x z) y)) |
Compiled 8 283 to 856 computations (89.7% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 217 | 3 | 220 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 217 | 6 | 223 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | #s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z)) |
| ✓ | 63.4% | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) |
| ✓ | 60.4% | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| ▶ | 25.1% | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) |
| ▶ | 38.7% | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) |
| ▶ | 42.3% | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
Compiled 94 to 69 computations (26.6% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- x z) (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 #s(approx (- x z) (neg.f64 z)) y) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) | |
| cost-diff | 0 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 85 |
| 0 | 22 | 85 |
| 1 | 31 | 85 |
| 2 | 45 | 85 |
| 3 | 65 | 85 |
| 4 | 90 | 85 |
| 5 | 102 | 85 |
| 6 | 114 | 85 |
| 7 | 124 | 85 |
| 8 | 129 | 85 |
| 0 | 129 | 82 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) |
(*.f64 #s(approx (- x z) (neg.f64 z)) y) |
#s(approx (- x z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
| Outputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) |
(*.f64 #s(approx (- x z) (neg.f64 z)) y) |
#s(approx (- x z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(approx (- x z) (neg.f64 z)) y) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 23.399124555786464 | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) | |
| accuracy | 33.90111015071069 | #s(approx (- x z) (neg.f64 z)) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) | |
| accuracy | 25.324766916411697 | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) | |
| accuracy | 30.323405309254586 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 36.94326735973596 | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
| 21.0ms | 256× | 0 | valid |
Compiled 56 to 15 computations (73.2% saved)
ival-mult: 7.0ms (57.8% of total)ival-sub: 2.0ms (16.5% of total)ival-add: 1.0ms (8.3% of total)ival-neg: 1.0ms (8.3% 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 y) (* z (- 1 y))) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) |
(*.f64 #s(approx (- x z) (neg.f64 z)) y) |
#s(approx (- x z) (neg.f64 z)) |
(neg.f64 z) |
| Outputs |
|---|
(* z (- 1 y)) |
(+ (* x y) (* z (- 1 y))) |
(* x y) |
(* -1 (* y z)) |
(+ (* -1 (* y z)) (* x y)) |
(* -1 z) |
(- x z) |
(* x (+ y (/ (* z (- 1 y)) x))) |
(* x (+ y (* -1 (/ (* y z) x)))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x))))) |
(* -1 (* x (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x (- (/ z x) 1))) |
z |
(+ z (* y (+ x (* -1 z)))) |
(+ z (* -1 (* y z))) |
1 |
(+ 1 (* -1 y)) |
(* y (- x z)) |
(* y (+ x (* -1 z))) |
(* y (+ x (+ (* -1 z) (/ z y)))) |
(* y (+ (* -1 z) (/ z y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (* y (+ z (* -1 x)))) |
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y)))))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(+ x (* -1 z)) |
(* z (- (+ 1 (/ (* x y) z)) y)) |
(* z (+ (* -1 y) (/ (* x y) z))) |
(* z (- (/ x z) 1)) |
(* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ y (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((+ (* x y) (* z (- 1 y))) (* y x) (+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (neg z)) |
| 1.0ms | y | @ | -inf | ((+ (* x y) (* z (- 1 y))) (* y x) (+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (neg z)) |
| 1.0ms | z | @ | inf | ((+ (* x y) (* z (- 1 y))) (* y x) (+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (neg z)) |
| 1.0ms | z | @ | -inf | ((+ (* x y) (* z (- 1 y))) (* y x) (+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (neg z)) |
| 1.0ms | x | @ | -inf | ((+ (* x y) (* z (- 1 y))) (* y x) (+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (neg z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 207 |
| 1 | 313 | 166 |
| 2 | 977 | 166 |
| 3 | 2968 | 166 |
| 4 | 5017 | 166 |
| 5 | 7065 | 166 |
| 0 | 8122 | 158 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (- 1 y)) |
(+ (* x y) (* z (- 1 y))) |
(* x y) |
(* -1 (* y z)) |
(+ (* -1 (* y z)) (* x y)) |
(* -1 z) |
(- x z) |
(* x (+ y (/ (* z (- 1 y)) x))) |
(* x (+ y (* -1 (/ (* y z) x)))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x))))) |
(* -1 (* x (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x (- (/ z x) 1))) |
z |
(+ z (* y (+ x (* -1 z)))) |
(+ z (* -1 (* y z))) |
1 |
(+ 1 (* -1 y)) |
(* y (- x z)) |
(* y (+ x (* -1 z))) |
(* y (+ x (+ (* -1 z) (/ z y)))) |
(* y (+ (* -1 z) (/ z y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (* y (+ z (* -1 x)))) |
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y)))))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(+ x (* -1 z)) |
(* z (- (+ 1 (/ (* x y) z)) y)) |
(* z (+ (* -1 y) (/ (* x y) z))) |
(* z (- (/ x z) 1)) |
(* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ y (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
| Outputs |
|---|
(* z (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(+ (* x y) (* z (- 1 y))) |
(fma.f64 (-.f64 x z) y z) |
(* x y) |
(*.f64 y x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(+ (* -1 (* y z)) (* x y)) |
(*.f64 (-.f64 x z) y) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(* x (+ y (/ (* z (- 1 y)) x))) |
(fma.f64 (-.f64 x z) y z) |
(* x (+ y (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 x z) y) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x))))) |
(fma.f64 (-.f64 x z) y z) |
(* -1 (* x (+ (* -1 y) (/ (* y z) x)))) |
(*.f64 (-.f64 x z) y) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
z |
(+ z (* y (+ x (* -1 z)))) |
(fma.f64 (-.f64 x z) y z) |
(+ z (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- x z)) |
(*.f64 (-.f64 x z) y) |
(* y (+ x (* -1 z))) |
(*.f64 (-.f64 x z) y) |
(* y (+ x (+ (* -1 z) (/ z y)))) |
(fma.f64 (-.f64 x z) y z) |
(* y (+ (* -1 z) (/ z y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ z (* -1 x)))) |
(*.f64 (-.f64 x z) y) |
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y)))))) |
(fma.f64 (-.f64 x z) y z) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* z (- (+ 1 (/ (* x y) z)) y)) |
(fma.f64 (-.f64 x z) y z) |
(* z (+ (* -1 y) (/ (* x y) z))) |
(*.f64 (-.f64 x z) y) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z))))) |
(fma.f64 (-.f64 x z) y z) |
(* -1 (* z (+ y (* -1 (/ (* x y) z))))) |
(*.f64 (-.f64 x z) y) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 79 |
| 0 | 22 | 79 |
| 1 | 69 | 79 |
| 2 | 428 | 79 |
| 3 | 4586 | 79 |
| 0 | 9187 | 76 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) |
(*.f64 #s(approx (- x z) (neg.f64 z)) y) |
#s(approx (- x z) (neg.f64 z)) |
(neg.f64 z) |
| Outputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
(*.f64 (*.f64 x #s(literal 1 binary64)) y) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y (*.f64 #s(literal 1 binary64) x)) |
(*.f64 y x) |
(*.f64 x y) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 y x))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 y x))) (sinh.f64 (log.f64 (*.f64 y x)))) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
(*.f64 z #s(approx (- 1 y) #s(literal 1 binary64))) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) |
(*.f64 (*.f64 #s(approx (- x z) (neg.f64 z)) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 #s(approx (- x z) (neg.f64 z)) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (- x z) (neg.f64 z)) y) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) |
(*.f64 y (*.f64 #s(literal 1 binary64) #s(approx (- x z) (neg.f64 z)))) |
(*.f64 y #s(approx (- x z) (neg.f64 z))) |
#s(approx (- x z) (neg.f64 z)) |
(neg.f64 z) |
Compiled 633 to 98 computations (84.5% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 36 | 0 | 36 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 3 | 3 |
| Total | 36 | 6 | 42 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | #s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z)) |
| ✓ | 63.4% | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) |
| ✓ | 60.4% | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| ✓ | 25.1% | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) |
| ✓ | 38.7% | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) |
| ✓ | 42.3% | #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
Compiled 197 to 99 computations (49.7% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) |
#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z)) |
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z)) |
4 calls:
| 4.0ms | (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) |
4 calls:
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.7% | 3 | (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
| 79.4% | 3 | x |
| 88.4% | 3 | y |
| 80.1% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.5% | 3 | x |
| 75.8% | 3 | z |
| 69.9% | 3 | y |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
4 calls:
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.9% | 5 | y |
| 52.8% | 3 | (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
| 58.5% | 3 | x |
| 58.0% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
1 calls:
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.4% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.3% | 1 | (+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y))) |
| 42.3% | 1 | z |
| 42.3% | 1 | x |
| 42.3% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 2.4653532483759816e-45 | 5.466054371585809e-43 |
| 12.0ms | -3.3322208564699e-5 | -1.5549423333075915e-21 |
| 12.0ms | 272× | 0 | valid |
Compiled 556 to 439 computations (21% saved)
ival-mult: 3.0ms (49% of total)ival-sub: 1.0ms (16.3% of total)ival-add: 1.0ms (16.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 3.7287818794346184e-155 | 1.5872162859288484e-152 |
| 7.0ms | -42385921.345054455 | -9319433.471346648 |
| 10.0ms | 224× | 0 | valid |
Compiled 404 to 350 computations (13.4% saved)
ival-mult: 3.0ms (59.8% of total)ival-sub: 1.0ms (19.9% of total)ival-add: 1.0ms (19.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.4653532483759816e-45 | 5.466054371585809e-43 |
| 1.0ms | -3.3322208564699e-5 | -1.5549423333075915e-21 |
| 14.0ms | -1.412167727752649e+101 | -4.789085117879568e+88 |
| 6.0ms | -2.005765916370994e+171 | -7.798426083789536e+170 |
| 10.0ms | 240× | 0 | valid |
Compiled 987 to 797 computations (19.3% saved)
ival-mult: 3.0ms (55.9% of total)ival-sub: 1.0ms (18.6% of total)ival-add: 1.0ms (18.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.4653532483759816e-45 | 5.466054371585809e-43 |
| 1.0ms | -3.3322208564699e-5 | -1.5549423333075915e-21 |
Compiled 522 to 422 computations (19.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 224 |
| 1 | 67 | 224 |
| 2 | 84 | 224 |
| 3 | 105 | 224 |
| 4 | 126 | 224 |
| 5 | 130 | 224 |
| 6 | 133 | 224 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z)) |
(if (<=.f64 y #s(literal -3961408125713217/79228162514264337593543950336 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 1632046451200537/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)))) |
(if (<=.f64 z #s(literal -21000000 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (if (<=.f64 z #s(literal 2948408144391829/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))) |
(if (<=.f64 y #s(literal -800000000000000027535243447449962247341710162379341979765549181400520783701051580431138126517958618547977432681179383320622653769672155357146863676002402572597402036862976 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) (if (<=.f64 y #s(literal -12999999999999999521776057534203660140634948146184040373863197270604442212447598371019042062336 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) (if (<=.f64 y #s(literal -3961408125713217/79228162514264337593543950336 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) (if (<=.f64 y #s(literal 1632046451200537/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)))))) |
(if (<=.f64 y #s(literal -3961408125713217/79228162514264337593543950336 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) (if (<=.f64 y #s(literal 1632046451200537/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)))) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z)) |
(if (<=.f64 y #s(literal -3961408125713217/79228162514264337593543950336 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 1632046451200537/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)))) |
(if (or (<=.f64 y #s(literal -3961408125713217/79228162514264337593543950336 binary64)) (not (<=.f64 y #s(literal 1632046451200537/3138550867693340381917894711603833208051177722232017256448 binary64)))) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))) |
(if (<=.f64 z #s(literal -21000000 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (if (<=.f64 z #s(literal 2948408144391829/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))) |
(if (or (<=.f64 z #s(literal -21000000 binary64)) (not (<=.f64 z #s(literal 2948408144391829/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)))) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))) |
(if (<=.f64 y #s(literal -800000000000000027535243447449962247341710162379341979765549181400520783701051580431138126517958618547977432681179383320622653769672155357146863676002402572597402036862976 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) (if (<=.f64 y #s(literal -12999999999999999521776057534203660140634948146184040373863197270604442212447598371019042062336 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) (if (<=.f64 y #s(literal -3961408125713217/79228162514264337593543950336 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) (if (<=.f64 y #s(literal 1632046451200537/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)))))) |
(if (<=.f64 y #s(literal -800000000000000027535243447449962247341710162379341979765549181400520783701051580431138126517958618547977432681179383320622653769672155357146863676002402572597402036862976 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) (if (<=.f64 y #s(literal -12999999999999999521776057534203660140634948146184040373863197270604442212447598371019042062336 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y)) (if (or (<=.f64 y #s(literal -3961408125713217/79228162514264337593543950336 binary64)) (not (<=.f64 y #s(literal 1632046451200537/3138550867693340381917894711603833208051177722232017256448 binary64)))) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))))) |
(if (<=.f64 y #s(literal -3961408125713217/79228162514264337593543950336 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) (if (<=.f64 y #s(literal 1632046451200537/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)))) |
(if (or (<=.f64 y #s(literal -3961408125713217/79228162514264337593543950336 binary64)) (not (<=.f64 y #s(literal 1632046451200537/3138550867693340381917894711603833208051177722232017256448 binary64)))) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))) |
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 134 |
| 1 | 208 | 115 |
| 2 | 637 | 115 |
| 3 | 1973 | 115 |
| 4 | 4269 | 114 |
| 0 | 8293 | 106 |
| 0 | 113 | 298 |
| 1 | 418 | 239 |
| 2 | 1345 | 239 |
| 3 | 3771 | 239 |
| 4 | 6193 | 239 |
| 0 | 8316 | 222 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 331 to 163 computations (50.8% saved)
Compiled 480 to 124 computations (74.2% saved)
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