
Time bar (total: 4.9s)
| 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)
| 514.0ms | 8 256× | 0 | valid |
ival-mult: 171.0ms (62.5% of total)ival-sub: 46.0ms (16.8% of total)ival-add: 43.0ms (15.7% of total)ival-true: 6.0ms (2.2% of total)exact: 5.0ms (1.8% of total)ival-assert: 3.0ms (1.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 8 | 0 | - | 0 | - | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 x #s(literal 1 binary64)) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) | nan-rescue | 8 | 0 |
| ↳ | (*.f64 x y) | overflow | 29 | |
| ↳ | (*.f64 (-.f64 x #s(literal 1 binary64)) z) | overflow | 33 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 8 | 0 |
| - | 0 | 248 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 8 | 0 | 0 |
| - | 0 | 0 | 248 |
| number | freq |
|---|---|
| 0 | 248 |
| 1 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-mult: 7.0ms (56.6% of total)ival-sub: 3.0ms (24.3% of total)ival-add: 2.0ms (16.2% 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 | 90 |
| 1 | 80 | 84 |
| 2 | 165 | 83 |
| 3 | 287 | 83 |
| 4 | 312 | 83 |
| 5 | 323 | 83 |
| 6 | 329 | 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 (-.f64 x #s(literal 1 binary64)) z)) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.8% | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 1 binary64)) z) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
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 (-.f64 x #s(literal 1 binary64)) z)) |
(*.f64 x y) |
x |
y |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(*.f64 z (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 x #s(literal 1 binary64)) z) | |
| accuracy | 1.9140501149812348 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 17.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-mult: 7.0ms (73.2% of total)ival-sub: 1.0ms (10.5% of total)ival-add: 1.0ms (10.5% 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 (-.f64 x #s(literal 1 binary64)) z)) |
(*.f64 x y) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(* x y) |
(+ (* -1 z) (* x z)) |
-1 |
(- x 1) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x z) |
(* x (+ z (* -1 (/ z x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1)) |
| 1.0ms | z | @ | 0 | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1)) |
| 1.0ms | x | @ | inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1)) |
| 1.0ms | x | @ | 0 | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1)) |
| 1.0ms | z | @ | inf | ((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 122 |
| 1 | 192 | 114 |
| 2 | 603 | 114 |
| 3 | 1846 | 114 |
| 4 | 4457 | 114 |
| 5 | 6068 | 114 |
| 0 | 8124 | 114 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(* x y) |
(+ (* -1 z) (* x z)) |
-1 |
(- x 1) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x z) |
(* x (+ z (* -1 (/ z x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
| Outputs |
|---|
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(+ (* -1 z) (* x z)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x z) |
(*.f64 z x) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
x |
(* x (- 1 (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(* z (- x 1)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 0 | 12 | 20 |
| 1 | 46 | 20 |
| 2 | 315 | 20 |
| 3 | 3498 | 20 |
| 0 | 8243 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
(*.f64 x y) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #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 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) (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 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z (-.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 y) x (*.f64 z (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (*.f64 z (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (*.f64 z (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (*.f64 z (-.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (*.f64 z (-.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (*.f64 z (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (*.f64 z (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (*.f64 z (-.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (*.f64 z (-.f64 x #s(literal 1 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64))) (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 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64))) (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 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (*.f64 z (-.f64 x #s(literal 1 binary64))))) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 z (-.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 z (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 z (-.f64 x #s(literal 1 binary64))) (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 z (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) x (*.f64 z (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) z) y) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) x (*.f64 z (-.f64 x #s(literal 1 binary64)))))) |
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(*.f64 (sqrt.f64 (*.f64 z z)) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 z z))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (neg.f64 z) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 z (*.f64 (neg.f64 z) (-.f64 x #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 (*.f64 z (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) z)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 z) (-.f64 x #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) z)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) z))) |
(*.f64 (exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) z) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) z) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) z) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) z) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) z) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 z (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 z) (fabs.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 z #s(literal 1 binary64)))) |
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) x)) (fabs.f64 z)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 z (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 z (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 z (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 z #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) z) |
(pow.f64 (*.f64 (neg.f64 z) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (fabs.f64 (fabs.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) z))) (fabs.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fabs.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) z))) (fabs.f64 (fabs.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 z) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (fabs.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 z) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) (fabs.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 z) (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 z) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fabs.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) z)) (fabs.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) z)) (fabs.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fabs.f64 (*.f64 z (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (fabs.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (fabs.f64 (*.f64 z (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) (fabs.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) z) (*.f64 z (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) z) (*.f64 z (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) z))) (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) z))) (sqrt.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) z))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) z) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) z) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) z) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) z) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) z))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) z) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) z) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) z))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) z) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z))) (sqrt.f64 (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) z) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) z))) (exp.f64 (log1p.f64 x))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) z))) (exp.f64 (log1p.f64 (+.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) z) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) z) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 z (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (*.f64 z (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fabs.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (fabs.f64 (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) z)) (fabs.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) z) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) z) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) (-.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (neg.f64 z) (-.f64 x #s(literal 1 binary64)))) |
(fabs.f64 (*.f64 z (-.f64 x #s(literal 1 binary64)))) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))))) (sinh.f64 (log.f64 (*.f64 z (-.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(expm1.f64 (log.f64 x)) |
(-.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
Compiled 9 189 to 1 046 computations (88.6% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 426 | 6 | 432 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 427 | 6 | 433 |
| Status | Accuracy | Program |
|---|---|---|
| 97.6% | (fma.f64 (-.f64 x #s(literal 1 binary64)) z (*.f64 y x)) | |
| ▶ | 65.6% | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x))) |
| ▶ | 100.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
| ▶ | 68.7% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ▶ | 61.0% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) |
| ▶ | 33.5% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
Compiled 160 to 124 computations (22.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (* (- x 1) z) (*.f64 z x)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 1 | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x))) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (*.f64 (+.f64 z y) x) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) | |
| cost-diff | 0 | (+.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(literal -1 binary64) x) z) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (fma.f64 (+.f64 z y) x (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 130 |
| 0 | 32 | 130 |
| 1 | 47 | 130 |
| 2 | 75 | 130 |
| 3 | 141 | 122 |
| 4 | 274 | 122 |
| 5 | 448 | 122 |
| 6 | 742 | 122 |
| 7 | 1032 | 122 |
| 8 | 1336 | 122 |
| 9 | 1340 | 122 |
| 0 | 1340 | 121 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+.f64 z y) |
z |
y |
x |
(neg.f64 z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(+.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
z |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
(*.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x))) |
(*.f64 x y) |
x |
y |
#s(approx (* (- x 1) z) (*.f64 z x)) |
(*.f64 z x) |
z |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+.f64 z y) |
z |
y |
x |
(neg.f64 z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(*.f64 z (-.f64 x #s(literal 1 binary64))) |
(+.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
z |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
(*.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x))) |
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (* (- x 1) z) (*.f64 z x)) |
(*.f64 z x) |
z |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 z x) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 1.9140501149812348 | (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x))) | |
| accuracy | 30.552149825344628 | #s(approx (* (- x 1) z) (*.f64 z x)) | |
| accuracy | 0.0 | (+.f64 z y) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 z y) x) | |
| accuracy | 19.99757921293589 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) | |
| accuracy | 0.0 | (+.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 #s(literal -1 binary64) x) z) | |
| accuracy | 24.980461737434176 | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 42.52943055942574 | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) | |
| accuracy | 0.0 | (+.f64 z y) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.0 | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) | |
| accuracy | 0.01171875 | (fma.f64 (+.f64 z y) x (neg.f64 z)) |
| 27.0ms | 256× | 0 | valid |
Compiled 102 to 18 computations (82.4% saved)
ival-mult: 8.0ms (55.1% of total)ival-add: 4.0ms (27.6% of total)ival-sub: 1.0ms (6.9% of total)ival-neg: 1.0ms (6.9% 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) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+.f64 z y) |
(neg.f64 z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(+.f64 #s(literal -1 binary64) x) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
(*.f64 (+.f64 z y) x) |
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x))) |
(*.f64 x y) |
#s(approx (* (- x 1) z) (*.f64 z x)) |
(*.f64 z x) |
| Outputs |
|---|
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(- (* x (+ y z)) z) |
(+ (* -1 z) (* x z)) |
-1 |
(- x 1) |
(* x (+ y z)) |
(* x y) |
(* x z) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ z (* -1 (/ z x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(- (* x z) z) |
(- (+ (* x y) (* x z)) z) |
z |
(+ y z) |
(+ (* x y) (* x z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ x (/ (* x z) y))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (+ 1 (/ y z))) |
(* z (+ x (/ (* x y) z))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (+ -1 x) z) (+ -1 x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (* z x)) |
| 1.0ms | x | @ | -inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (+ -1 x) z) (+ -1 x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (* z x)) |
| 1.0ms | z | @ | -inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (+ -1 x) z) (+ -1 x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (* z x)) |
| 1.0ms | x | @ | inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (+ -1 x) z) (+ -1 x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (* z x)) |
| 1.0ms | x | @ | 0 | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (+ z y) (neg z) (+ (* x y) (* (- x 1) z)) (+ (* x y) (* (- x 1) z)) (* (+ -1 x) z) (+ -1 x) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (* z x)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 222 |
| 1 | 359 | 208 |
| 2 | 1152 | 208 |
| 3 | 3616 | 208 |
| 4 | 6160 | 208 |
| 5 | 7979 | 208 |
| 0 | 8067 | 208 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(- (* x (+ y z)) z) |
(+ (* -1 z) (* x z)) |
-1 |
(- x 1) |
(* x (+ y z)) |
(* x y) |
(* x z) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ z (* -1 (/ z x)))) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(- (* x z) z) |
(- (+ (* x y) (* x z)) z) |
z |
(+ y z) |
(+ (* x y) (* x z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ x (/ (* x z) y))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (+ 1 (/ y z))) |
(* z (+ x (/ (* x y) z))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
| Outputs |
|---|
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(- (* x (+ y z)) z) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+ (* -1 z) (* x z)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x z) |
(*.f64 z x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
x |
(* x (- 1 (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(* z (- x 1)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(- (* x z) z) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(- (+ (* x y) (* x z)) z) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
z |
(+ y z) |
(+.f64 z y) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
y |
(* y (+ 1 (/ z y))) |
(+.f64 z y) |
(* y (+ x (/ (* x z) y))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+.f64 z y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 z y) x) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (+ 1 (/ y z))) |
(+.f64 z y) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 z y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 112 |
| 0 | 32 | 112 |
| 1 | 117 | 112 |
| 2 | 809 | 104 |
| 0 | 8586 | 103 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(+.f64 z y) |
(neg.f64 z) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(+.f64 #s(literal -1 binary64) x) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
(*.f64 (+.f64 z y) x) |
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x))) |
(*.f64 x y) |
#s(approx (* (- x 1) z) (*.f64 z x)) |
(*.f64 z x) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 z y) x) (neg.f64 z))) (/.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 z y) x) (neg.f64 z)))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (+.f64 z y) x) (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 (*.f64 (+.f64 z y) x) (neg.f64 z))))) (+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 z y) x) (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 (*.f64 (+.f64 z y) x) (neg.f64 z))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) (*.f64 z (-.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) (*.f64 z (-.f64 x #s(literal 1 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 y x) (*.f64 z (-.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 y x) (*.f64 z (-.f64 x #s(literal 1 binary64))))))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) (*.f64 z (-.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 y x) (*.f64 z (-.f64 x #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 (+.f64 z y) x))) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 (+.f64 z y) x))) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 (+.f64 z y) x))) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 (+.f64 z y) x))) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 (+.f64 z y) x))) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 (+.f64 z y) x))) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)))))) |
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(fma.f64 x (*.f64 #s(literal 1 binary64) y) (*.f64 z x)) |
(fma.f64 x (*.f64 #s(literal 1 binary64) z) (*.f64 y x)) |
(fma.f64 x (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 y (-.f64 y z) (*.f64 z z))) (*.f64 x (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y z) (*.f64 z z))))) |
(fma.f64 x z (*.f64 y x)) |
(fma.f64 x y (*.f64 z x)) |
(-.f64 (*.f64 z x) (*.f64 (neg.f64 x) y)) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 z) x)) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 x) z)) |
(+.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 y (-.f64 y z) (*.f64 z z))) x) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y z) (*.f64 z z))) x)) |
(+.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 y (-.f64 y z) (*.f64 z z)))) (*.f64 x (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y z) (*.f64 z z))))) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 z x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))) (*.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (fma.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 (neg.f64 x) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (*.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 y #s(literal 1 binary64)) x #s(approx (* (- x 1) z) (*.f64 z x))) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) #s(approx (* (- x 1) z) (*.f64 z x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))) |
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) |
(fma.f64 x (*.f64 #s(literal 1 binary64) y) #s(approx (* (- x 1) z) (*.f64 z x))) |
(fma.f64 x y #s(approx (* (- x 1) z) (*.f64 z x))) |
(-.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))) |
(-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 (neg.f64 x) y)) |
(+.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))))) |
(+.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (-.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x)))) (/.f64 (neg.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 z x)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))))) |
(+.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 (neg.f64 (neg.f64 y)) x)) |
(+.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(+.f64 #s(approx (* (- x 1) z) (*.f64 z x)) (*.f64 y x)) |
(+.f64 (*.f64 y x) #s(approx (* (- x 1) z) (*.f64 z x))) |
(*.f64 (*.f64 y #s(literal 1 binary64)) x) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x (*.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
#s(approx (* (- x 1) z) (*.f64 z x)) |
(*.f64 (*.f64 z #s(literal 1 binary64)) x) |
(*.f64 (*.f64 z x) #s(literal 1 binary64)) |
(*.f64 z x) |
(*.f64 #s(literal 1 binary64) (*.f64 z x)) |
(*.f64 x (*.f64 #s(literal 1 binary64) z)) |
(*.f64 x z) |
Compiled 13 237 to 1 259 computations (90.5% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 377 | 3 | 380 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 380 | 6 | 386 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.0% | (fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) |
| ✓ | 100.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
| ▶ | 61.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) |
| ▶ | 100.0% | #s(approx (+ (* x y) (* (- x 1) z)) (+.f64 (*.f64 (+.f64 z y) x) (neg.f64 z))) |
| ✓ | 68.7% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ✓ | 33.5% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
Compiled 89 to 66 computations (25.8% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (* (- x 1) z) (*.f64 z x)) | |
| cost-diff | 0 | (fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 z x (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (*.f64 (+.f64 z y) x) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) (+.f64 (*.f64 (+.f64 z y) x) (neg.f64 z))) | |
| cost-diff | 1 | (+.f64 (*.f64 (+.f64 z y) x) (neg.f64 z)) |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 90 |
| 0 | 26 | 90 |
| 1 | 41 | 90 |
| 2 | 67 | 90 |
| 3 | 120 | 90 |
| 4 | 212 | 90 |
| 5 | 250 | 90 |
| 6 | 316 | 90 |
| 7 | 376 | 88 |
| 8 | 440 | 84 |
| 9 | 601 | 84 |
| 10 | 790 | 84 |
| 11 | 1006 | 84 |
| 12 | 1224 | 84 |
| 13 | 1382 | 84 |
| 14 | 1386 | 84 |
| 0 | 1386 | 84 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (+.f64 (*.f64 (+.f64 z y) x) (neg.f64 z))) |
(+.f64 (*.f64 (+.f64 z y) x) (neg.f64 z)) |
(*.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
(neg.f64 z) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) |
(fma.f64 z x (neg.f64 z)) |
z |
x |
(neg.f64 z) |
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) |
y |
x |
#s(approx (* (- x 1) z) (*.f64 z x)) |
(*.f64 z x) |
z |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (+.f64 (*.f64 (+.f64 z y) x) (neg.f64 z))) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(+.f64 (*.f64 (+.f64 z y) x) (neg.f64 z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(*.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
(neg.f64 z) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 z x (neg.f64 z)) |
(*.f64 z (-.f64 x #s(literal 1 binary64))) |
z |
x |
(neg.f64 z) |
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) |
y |
x |
#s(approx (* (- x 1) z) (*.f64 z x)) |
(*.f64 z x) |
z |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 z x) | |
| accuracy | 0.5039007452111204 | (fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) | |
| accuracy | 30.552149825344628 | #s(approx (* (- x 1) z) (*.f64 z x)) | |
| accuracy | 0.0 | (fma.f64 z x (neg.f64 z)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 24.980461737434176 | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.0 | #s(approx (+ (* x y) (* (- x 1) z)) (+.f64 (*.f64 (+.f64 z y) x) (neg.f64 z))) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 (+.f64 z y) x) (neg.f64 z)) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 z y) x) |
| 26.0ms | 256× | 0 | valid |
Compiled 71 to 18 computations (74.6% saved)
ival-mult: 8.0ms (52.1% of total)ival-add: 5.0ms (32.6% of total)ival-sub: 1.0ms (6.5% of total)ival-neg: 1.0ms (6.5% 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 (+.f64 z y) x) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (+.f64 (*.f64 (+.f64 z y) x) (neg.f64 z))) |
(*.f64 (+.f64 z y) x) |
(+.f64 z y) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) |
(fma.f64 z x (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (* (- x 1) z) (*.f64 z x)) |
(*.f64 z x) |
| Outputs |
|---|
(* -1 z) |
(- (* x (+ y z)) z) |
(+ (* -1 z) (* x (+ y z))) |
(* x (+ y z)) |
(- (* x z) z) |
(+ (* -1 z) (* x z)) |
(* x z) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ z (* -1 (/ z x)))) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(- (+ (* x y) (* x z)) z) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* x z)) |
z |
(+ y z) |
(* x y) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* x z) y))) |
y |
(* y (+ 1 (/ z y))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (+ x (/ (* x y) z))) |
(* z (+ 1 (/ y z))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* (+ z y) x) (neg z)) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ z y) (+ (* x y) (* (- x 1) z)) (+ (* z x) (neg z)) (neg z) (+ (* y x) (* (- x 1) z)) (* (- x 1) z) (* z x)) |
| 1.0ms | z | @ | -inf | ((+ (* (+ z y) x) (neg z)) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ z y) (+ (* x y) (* (- x 1) z)) (+ (* z x) (neg z)) (neg z) (+ (* y x) (* (- x 1) z)) (* (- x 1) z) (* z x)) |
| 1.0ms | z | @ | inf | ((+ (* (+ z y) x) (neg z)) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ z y) (+ (* x y) (* (- x 1) z)) (+ (* z x) (neg z)) (neg z) (+ (* y x) (* (- x 1) z)) (* (- x 1) z) (* z x)) |
| 1.0ms | x | @ | inf | ((+ (* (+ z y) x) (neg z)) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ z y) (+ (* x y) (* (- x 1) z)) (+ (* z x) (neg z)) (neg z) (+ (* y x) (* (- x 1) z)) (* (- x 1) z) (* z x)) |
| 1.0ms | x | @ | 0 | ((+ (* (+ z y) x) (neg z)) (+ (* x y) (* (- x 1) z)) (* (+ z y) x) (+ z y) (+ (* x y) (* (- x 1) z)) (+ (* z x) (neg z)) (neg z) (+ (* y x) (* (- x 1) z)) (* (- x 1) z) (* z x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 188 |
| 1 | 348 | 188 |
| 2 | 1132 | 188 |
| 3 | 3561 | 188 |
| 4 | 6081 | 188 |
| 5 | 7884 | 188 |
| 0 | 8006 | 188 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 z) |
(- (* x (+ y z)) z) |
(+ (* -1 z) (* x (+ y z))) |
(* x (+ y z)) |
(- (* x z) z) |
(+ (* -1 z) (* x z)) |
(* x z) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* x (+ z (* -1 (/ z x)))) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(- (+ (* x y) (* x z)) z) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(+ (* x y) (* x z)) |
z |
(+ y z) |
(* x y) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (+ x (/ (* x z) y))) |
y |
(* y (+ 1 (/ z y))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* z (+ x (/ (* x y) z))) |
(* z (+ 1 (/ y z))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
| Outputs |
|---|
(* -1 z) |
(neg.f64 z) |
(- (* x (+ y z)) z) |
(fma.f64 (+.f64 y z) x (neg.f64 z)) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 y z) x (neg.f64 z)) |
(* x (+ y z)) |
(*.f64 (+.f64 y z) x) |
(- (* x z) z) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(+ (* -1 z) (* x z)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(* x z) |
(*.f64 x z) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 y z) x (neg.f64 z)) |
(* x (+ z (* -1 (/ z x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(fma.f64 (+.f64 y z) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 y z) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 y z) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 z) (/ z x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(- (+ (* x y) (* x z)) z) |
(fma.f64 (+.f64 y z) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 y z) x (neg.f64 z)) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 y z) x) |
z |
(+ y z) |
(+.f64 y z) |
(* x y) |
(*.f64 x y) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
(fma.f64 (+.f64 y z) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 y z) x (neg.f64 z)) |
(* y (+ x (/ (* x z) y))) |
(*.f64 (+.f64 y z) x) |
y |
(* y (+ 1 (/ z y))) |
(+.f64 y z) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
(fma.f64 (+.f64 y z) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 y z) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 y z) x) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+.f64 y z) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 y z) x (neg.f64 z)) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 y z) x) |
(* z (+ 1 (/ y z))) |
(+.f64 y z) |
(* -1 (* z (+ 1 (* -1 x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) x) z) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
(fma.f64 (+.f64 y z) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 y z) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 y z) x) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 y z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 80 |
| 0 | 26 | 80 |
| 1 | 118 | 80 |
| 2 | 826 | 80 |
| 0 | 8580 | 76 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (+.f64 z y) x) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (+.f64 (*.f64 (+.f64 z y) x) (neg.f64 z))) |
(*.f64 (+.f64 z y) x) |
(+.f64 z y) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) |
(fma.f64 z x (neg.f64 z)) |
(neg.f64 z) |
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (* (- x 1) z) (*.f64 z x)) |
(*.f64 z x) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))) (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z)))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))))) (+.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))) (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))) (fma.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))) (*.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (+.f64 y z)) #s(literal 3 binary64))) (fma.f64 z z (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 x) (+.f64 y z)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 z) (*.f64 x (+.f64 y z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))) (*.f64 (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z)) (*.f64 z z))) (*.f64 (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z)) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64))) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64))) (-.f64 (neg.f64 z) (*.f64 x (+.f64 y z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 x (+.f64 y z)) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 x (+.f64 y z)) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 z z (*.f64 z (*.f64 x (+.f64 y z)))) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 x (+.f64 y z)) (neg.f64 z))) |
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(-.f64 #s(approx (* (- x 1) z) (*.f64 x z)) (*.f64 (neg.f64 x) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 x z)))))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 x z)) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 x z))))))) |
(+.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 x z)) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 x z)))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 x z))))))) |
(+.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 x z)) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 x z)) (-.f64 #s(approx (* (- x 1) z) (*.f64 x z)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 x z)) (-.f64 #s(approx (* (- x 1) z) (*.f64 x z)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 x z)) (-.f64 #s(approx (* (- x 1) z) (*.f64 x z)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 x z)) #s(literal 3 binary64)) (fma.f64 #s(approx (* (- x 1) z) (*.f64 x z)) (-.f64 #s(approx (* (- x 1) z) (*.f64 x z)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 x z)))) (/.f64 (neg.f64 (pow.f64 #s(approx (* (- x 1) z) (*.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 x z))))) |
(+.f64 #s(approx (* (- x 1) z) (*.f64 x z)) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(+.f64 #s(approx (* (- x 1) z) (*.f64 x z)) (*.f64 (neg.f64 (neg.f64 y)) x)) |
(+.f64 #s(approx (* (- x 1) z) (*.f64 x z)) (*.f64 x y)) |
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 x z))) |
#s(approx (* (- x 1) z) (*.f64 x z)) |
(*.f64 (*.f64 z #s(literal 1 binary64)) x) |
(*.f64 (*.f64 x z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x z)) |
(*.f64 x (*.f64 #s(literal 1 binary64) z)) |
(*.f64 x z) |
(*.f64 z x) |
Compiled 8 386 to 812 computations (90.3% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 217 | 1 | 218 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 3 | 3 |
| Total | 217 | 7 | 224 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.0% | (fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) |
| ✓ | 100.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
| ✓ | 61.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) |
| ✓ | 100.0% | #s(approx (+ (* x y) (* (- x 1) z)) (+.f64 (*.f64 (+.f64 z y) x) (neg.f64 z))) |
| ✓ | 68.7% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ✓ | 33.5% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| ▶ | 42.9% | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) |
Compiled 111 to 81 computations (27% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y)) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 39 |
| 0 | 16 | 39 |
| 1 | 27 | 39 |
| 2 | 51 | 39 |
| 3 | 110 | 39 |
| 4 | 195 | 39 |
| 5 | 236 | 39 |
| 6 | 289 | 39 |
| 7 | 343 | 39 |
| 8 | 385 | 37 |
| 9 | 427 | 35 |
| 10 | 588 | 35 |
| 11 | 777 | 35 |
| 12 | 993 | 35 |
| 13 | 1207 | 35 |
| 14 | 1361 | 35 |
| 15 | 1365 | 35 |
| 0 | 1365 | 35 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) |
#s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))) |
#s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.0 | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) | |
| accuracy | 36.535918342469266 | #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y)) |
| 17.0ms | 256× | 0 | valid |
Compiled 24 to 14 computations (41.7% saved)
ival-mult: 5.0ms (47.6% of total)ival-add: 3.0ms (28.5% of total)ival-sub: 1.0ms (9.5% of total)ival-neg: 1.0ms (9.5% 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) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) |
#s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y)) |
(*.f64 x y) |
| Outputs |
|---|
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(- (* x (+ y z)) z) |
(* x y) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(- (* x z) z) |
(- (+ (* x y) (* x z)) z) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 156.0ms | x | @ | inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (* x y)) |
| 2.0ms | x | @ | -inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (* x y)) |
| 1.0ms | y | @ | -inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (* x y)) |
| 0.0ms | y | @ | inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (* x y)) |
| 0.0ms | z | @ | -inf | ((+ (* x y) (* (- x 1) z)) (+ (* (+ z y) x) (neg z)) (* x y)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 142 |
| 1 | 250 | 128 |
| 2 | 856 | 128 |
| 3 | 2623 | 128 |
| 4 | 4964 | 128 |
| 5 | 6980 | 128 |
| 0 | 8164 | 128 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 z) |
(+ (* -1 z) (* x (+ y z))) |
(- (* x (+ y z)) z) |
(* x y) |
(* x (+ y z)) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(* z (- x 1)) |
(+ (* x y) (* z (- x 1))) |
(- (* x z) z) |
(- (+ (* x y) (* x z)) z) |
(* y (+ x (/ (* z (- x 1)) y))) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ 1 (* -1 x)))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
| Outputs |
|---|
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* x (+ y z))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(- (* x (+ y z)) z) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* x y) |
(*.f64 y x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y (+ z (* -1 (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* x (+ (* -1 (+ y z)) (/ z x)))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- x 1)) |
(*.f64 z (-.f64 x #s(literal 1 binary64))) |
(+ (* x y) (* z (- x 1))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(- (* x z) z) |
(*.f64 z (-.f64 x #s(literal 1 binary64))) |
(- (+ (* x y) (* x z)) z) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (+ x (/ (* z (- x 1)) y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* y (- (+ x (/ (* x z) y)) (/ z y))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* z (- (+ x (/ (* x y) z)) 1)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 x)))) |
(*.f64 z (-.f64 x #s(literal 1 binary64))) |
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z)))))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 37 |
| 0 | 16 | 37 |
| 1 | 77 | 37 |
| 2 | 593 | 37 |
| 3 | 7320 | 37 |
| 0 | 8207 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) |
#s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y)) |
(*.f64 x y) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 y x))) |
#s(approx (+ (* (+ z y) x) (neg z)) (*.f64 y x)) |
(*.f64 (*.f64 y #s(literal 1 binary64)) x) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x (*.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
Compiled 319 to 50 computations (84.3% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 15 | 0 | 15 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 15 | 7 | 22 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.0% | (fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) |
| ✓ | 100.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
| ✓ | 61.0% | #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) |
| ✓ | 100.0% | #s(approx (+ (* x y) (* (- x 1) z)) (+.f64 (*.f64 (+.f64 z y) x) (neg.f64 z))) |
| ✓ | 68.7% | #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
| ✓ | 33.5% | #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| ✓ | 42.9% | #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) |
Compiled 267 to 121 computations (54.7% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(fma.f64 y x #s(approx (* (- x 1) z) (*.f64 z x))) |
#s(approx (+ (* x y) (* (- x 1) z)) (+.f64 (*.f64 (+.f64 z y) x) (neg.f64 z))) |
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) z (*.f64 y x)) |
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
4 calls:
| 27.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) |
4 calls:
| 35.0ms | x |
| 2.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 3 | x |
| 81.7% | 3 | y |
| 85.0% | 3 | z |
| 72.9% | 3 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) |
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) |
3 calls:
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.0% | 3 | y |
| 78.0% | 3 | z |
| 64.5% | 3 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) |
4 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.0% | 3 | x |
| 47.4% | 3 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 56.6% | 3 | y |
| 56.7% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.5% | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) |
| 33.5% | 1 | y |
| 33.5% | 1 | z |
| 33.5% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 163.0ms | 1.7634100022957684e-51 | 3.871657600614126e-45 |
| 12.0ms | -2.8581825630940665e-89 | -3.0783374539001076e-95 |
| 164.0ms | 288× | 0 | valid |
Compiled 552 to 464 computations (15.9% saved)
ival-mult: 155.0ms (98.4% of total)ival-sub: 1.0ms (0.6% of total)ival-add: 1.0ms (0.6% 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 |
|---|---|---|
| 12.0ms | 4.2202579681820594e-61 | 3.869606239200953e-56 |
| 12.0ms | -8.949046390834472e-75 | -6.301428983494677e-80 |
| 13.0ms | 288× | 0 | valid |
Compiled 678 to 536 computations (20.9% saved)
ival-mult: 4.0ms (60% of total)ival-sub: 1.0ms (15% of total)ival-add: 1.0ms (15% 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 |
|---|---|---|
| 6.0ms | 9.761180436448508e-54 | 2.365815188065414e-53 |
| 38.0ms | -2.8581825630940665e-89 | -3.0783374539001076e-95 |
| 40.0ms | 128× | 0 | valid |
Compiled 488 to 392 computations (19.7% saved)
ival-mult: 36.0ms (97.8% of total)ival-sub: 1.0ms (2.7% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 157 |
| 1 | 67 | 157 |
| 2 | 92 | 157 |
| 3 | 151 | 157 |
| 4 | 236 | 157 |
| 5 | 278 | 157 |
| 6 | 331 | 157 |
| 7 | 385 | 157 |
| 8 | 426 | 155 |
| 9 | 470 | 139 |
| 10 | 651 | 139 |
| 11 | 946 | 139 |
| 12 | 1190 | 139 |
| 13 | 1398 | 139 |
| 14 | 1552 | 139 |
| 15 | 1556 | 139 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(if (<=.f64 x #s(literal -8371269948363761/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 1933467854852417/822752278660603021077484591278675252491367932816789931674304512 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (<=.f64 z #s(literal -8677447333428697/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) (if (<=.f64 z #s(literal 8973886915892005/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)))) |
(if (<=.f64 x #s(literal -5017028222478281/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) (if (<=.f64 x #s(literal 4421431253412705/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))))) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) |
(if (<=.f64 x #s(literal -8371269948363761/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 1933467854852417/822752278660603021077484591278675252491367932816789931674304512 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)))) |
(if (or (<=.f64 x #s(literal -8371269948363761/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (not (<=.f64 x #s(literal 1933467854852417/822752278660603021077484591278675252491367932816789931674304512 binary64)))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z))) |
(if (<=.f64 z #s(literal -8677447333428697/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) (if (<=.f64 z #s(literal 8973886915892005/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)))) |
(if (or (<=.f64 z #s(literal -8677447333428697/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) (not (<=.f64 z #s(literal 8973886915892005/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 #s(literal -1 binary64) x) z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x y)))) |
(if (<=.f64 x #s(literal -5017028222478281/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))) (if (<=.f64 x #s(literal 4421431253412705/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* (+ z y) x) (neg z)) (*.f64 x y))))) |
(if (or (<=.f64 x #s(literal -5017028222478281/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (not (<=.f64 x #s(literal 4421431253412705/215679573337205118357336120696157045389097155380324579848828881993728 binary64)))) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x y))) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))) |
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 112 |
| 0 | 32 | 112 |
| 1 | 117 | 112 |
| 2 | 809 | 104 |
| 0 | 8586 | 103 |
| 0 | 94 | 188 |
| 1 | 348 | 188 |
| 2 | 1132 | 188 |
| 3 | 3561 | 188 |
| 4 | 6081 | 188 |
| 5 | 7884 | 188 |
| 0 | 8006 | 188 |
| 0 | 54 | 122 |
| 1 | 192 | 114 |
| 2 | 603 | 114 |
| 3 | 1846 | 114 |
| 4 | 4457 | 114 |
| 5 | 6068 | 114 |
| 0 | 8124 | 114 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 233 to 116 computations (50.2% saved)
Compiled 336 to 102 computations (69.6% saved)
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