
Time bar (total: 4.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 567.0ms | 8 248× | 0 | valid |
| 0.0ms | 6× | 1 | valid |
| 0.0ms | 2× | 2 | valid |
ival-add: 88.0ms (90.5% of total)ival-true: 6.0ms (6.2% of total)ival-assert: 3.0ms (3.1% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x y) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 18.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-add: 5.0ms (89.5% of total)adjust: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 50 |
| 1 | 62 | 45 |
| 2 | 191 | 45 |
| 3 | 506 | 45 |
| 4 | 828 | 45 |
| 5 | 935 | 45 |
| 6 | 951 | 45 |
| 0 | 5 | 5 |
| 0 | 7 | 5 |
| 1 | 11 | 5 |
| 2 | 18 | 5 |
| 3 | 20 | 5 |
| 0 | 20 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 x y) z) |
| Outputs |
|---|
(+.f64 (+.f64 x y) z) |
(+.f64 z (+.f64 y x)) |
(sort x y z)
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (+.f64 x y) z) |
Compiled 5 to 5 computations (0% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (+.f64 (+.f64 x y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 7 | 11 |
| 1 | 11 | 11 |
| 2 | 18 | 11 |
| 3 | 20 | 11 |
| 0 | 20 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
| Outputs |
|---|
(+.f64 (+.f64 x y) z) |
(+.f64 z (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 x y) z) |
| 9.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-add: 2.0ms (73.4% of total)adjust: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (+.f64 x y) z) |
(+.f64 x y) |
| Outputs |
|---|
(+ y z) |
(+ x (+ y z)) |
y |
(+ x y) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ x z) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | ((+ (+ x y) z) (+ x y)) |
| 0.0ms | x | @ | -inf | ((+ (+ x y) z) (+ x y)) |
| 0.0ms | y | @ | -inf | ((+ (+ x y) z) (+ x y)) |
| 0.0ms | z | @ | -inf | ((+ (+ x y) z) (+ x y)) |
| 0.0ms | y | @ | inf | ((+ (+ x y) z) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 59 |
| 1 | 148 | 59 |
| 2 | 381 | 59 |
| 3 | 1199 | 59 |
| 4 | 3052 | 59 |
| 5 | 5506 | 59 |
| 6 | 6507 | 59 |
| 7 | 6617 | 59 |
| 8 | 6708 | 59 |
| 9 | 6720 | 59 |
| 0 | 8358 | 59 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ y z) |
(+ x (+ y z)) |
y |
(+ x y) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ x z) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
| Outputs |
|---|
(+ y z) |
(+.f64 z y) |
(+ x (+ y z)) |
(+.f64 (+.f64 y x) z) |
y |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 y x) z) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 y x) z) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(+ x z) |
(+.f64 z x) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 y x) z) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 y x) z) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 y x) z) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+.f64 (+.f64 y x) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 36 | 8 |
| 2 | 318 | 8 |
| 3 | 5067 | 8 |
| 0 | 8130 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 x y) z) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 y x) z) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 y x) z) (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 z (+.f64 y x)) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 z (+.f64 y x)) z))) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 z (+.f64 y x)) z) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 z (+.f64 y x)) z) (-.f64 (*.f64 (-.f64 z (+.f64 y x)) z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 z (+.f64 y x))) |
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 z (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 x y) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (+.f64 y x) z) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (+.f64 y x) z) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (+.f64 z (+.f64 y x))) |
(*.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 (+.f64 y x) z)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (+.f64 y x) z) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (+.f64 z (+.f64 y x)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 (+.f64 z (+.f64 y x)) (pow.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 z (+.f64 y x)) (/.f64 (-.f64 (+.f64 y x) z) (-.f64 (+.f64 y x) z))) |
(*.f64 (+.f64 z (+.f64 y x)) (*.f64 (-.f64 (+.f64 y x) z) (pow.f64 (-.f64 (+.f64 y x) z) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 z (+.f64 y x)) (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (-.f64 x y) z) (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 (+.f64 y x) z) #s(literal -1 binary64))) (fma.f64 z z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 y x) z) #s(literal -1 binary64))) (fma.f64 (*.f64 z z) (fma.f64 z z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 y x) z)) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (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) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) (*.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (+.f64 z x) y)) |
(/.f64 (-.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (+.f64 z y) x)) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 z x) #s(literal 2 binary64))) (-.f64 y (+.f64 z x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) (*.f64 z (/.f64 z (-.f64 (+.f64 y x) z))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (+.f64 z x) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (*.f64 y (+.f64 z x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (+.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 x y) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 y x) z)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (+.f64 y x) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))) (-.f64 (+.f64 y x) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (-.f64 z (+.f64 y x)) z (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) z)) (*.f64 (-.f64 (+.f64 y x) z) (*.f64 z z))) (pow.f64 (-.f64 (+.f64 y x) z) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x)) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (+.f64 y x)) |
(*.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (+.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1 binary64))) |
(*.f64 (+.f64 y x) (pow.f64 (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 y x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 y y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal -3 binary64))) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal -3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(neg.f64 (neg.f64 (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 4 739 to 629 computations (86.7% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 213 | 3 | 216 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 213 | 4 | 217 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) z) |
| ✓ | 100.0% | (+.f64 (+.f64 x y) z) |
| ▶ | 52.8% | #s(approx (+ (+ x y) z) (+.f64 z y)) |
| ▶ | 99.2% | #s(approx (+ (+ x y) z) (+.f64 z x)) |
Compiled 32 to 28 computations (12.5% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (pow.f64 (+.f64 y x) #s(literal -1 binary64)) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) z) | |
| cost-diff | 4 | (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (+ x y) z) (+.f64 z y)) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | #s(approx (+ (+ x y) z) (+.f64 z x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 57 |
| 0 | 21 | 53 |
| 1 | 31 | 49 |
| 2 | 37 | 49 |
| 3 | 48 | 49 |
| 4 | 50 | 49 |
| 5 | 51 | 49 |
| 0 | 51 | 49 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x y) z) (+.f64 z y)) |
(+.f64 z y) |
z |
y |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) z) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (+.f64 y x) #s(literal -1 binary64)) |
(+.f64 y x) |
y |
x |
#s(literal -1 binary64) |
z |
| Outputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x y) z) (+.f64 z y)) |
(+.f64 z y) |
z |
y |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) z) |
(+.f64 (+.f64 y x) z) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(+.f64 y x) |
#s(literal 1 binary64) |
(pow.f64 (+.f64 y x) #s(literal -1 binary64)) |
(+.f64 y x) |
y |
x |
#s(literal -1 binary64) |
z |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) z) | |
| accuracy | 0.01953125 | (pow.f64 (+.f64 y x) #s(literal -1 binary64)) | |
| accuracy | 0.1875 | (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) | |
| accuracy | 0.0 | (+.f64 z y) | |
| accuracy | 30.227096244964425 | #s(approx (+ (+ x y) z) (+.f64 z y)) | |
| accuracy | 0.0 | (+.f64 z x) | |
| accuracy | 0.49343631891468454 | #s(approx (+ (+ x y) z) (+.f64 z x)) |
| 53.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 51 to 15 computations (70.6% saved)
ival-add: 35.0ms (81.7% of total)ival-pow: 5.0ms (11.7% of total)ival-div: 2.0ms (4.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 z x)) |
(+.f64 z x) |
#s(approx (+ (+ x y) z) (+.f64 z y)) |
(+.f64 z y) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) z) |
(pow.f64 (+.f64 y x) #s(literal -1 binary64)) |
(+.f64 y x) |
| Outputs |
|---|
(+ y z) |
(+ x (+ y z)) |
z |
(+ x z) |
y |
(+ x y) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ y x))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) |
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (/ (- (/ y x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ x y))) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ y z))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y) (/ 1 (pow (+ y x) -1)) (+ (/ 1 (pow (+ y x) -1)) z) (pow (+ y x) -1) (+ y x)) |
| 1.0ms | y | @ | inf | ((+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y) (/ 1 (pow (+ y x) -1)) (+ (/ 1 (pow (+ y x) -1)) z) (pow (+ y x) -1) (+ y x)) |
| 0.0ms | x | @ | inf | ((+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y) (/ 1 (pow (+ y x) -1)) (+ (/ 1 (pow (+ y x) -1)) z) (pow (+ y x) -1) (+ y x)) |
| 0.0ms | x | @ | 0 | ((+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y) (/ 1 (pow (+ y x) -1)) (+ (/ 1 (pow (+ y x) -1)) z) (pow (+ y x) -1) (+ y x)) |
| 0.0ms | y | @ | -inf | ((+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y) (/ 1 (pow (+ y x) -1)) (+ (/ 1 (pow (+ y x) -1)) z) (pow (+ y x) -1) (+ y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 397 |
| 1 | 528 | 375 |
| 2 | 1348 | 341 |
| 3 | 4337 | 335 |
| 0 | 8490 | 322 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ y z) |
(+ x (+ y z)) |
z |
(+ x z) |
y |
(+ x y) |
(/ 1 y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ y x))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) |
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (/ (- (/ y x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ x y))) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ (- (/ x y) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ y z))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
| Outputs |
|---|
(+ y z) |
(+.f64 z y) |
(+ x (+ y z)) |
(+.f64 (+.f64 z x) y) |
z |
(+ x z) |
(+.f64 z x) |
y |
(+ x y) |
(+.f64 y x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x (pow y 2))) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) |
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 z x) y) |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) x) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 z x) y) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (/ (- (/ y x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) x) |
(+ (* -1 (/ y (pow x 2))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y) y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 z x) y) |
(* y (+ 1 (/ z y))) |
(+.f64 z y) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(/ (+ 1 (* -1 (/ x y))) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) |
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) |
(/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 z x) y) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+.f64 z y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (/ (- (/ x y) 1) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) |
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) |
(/.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 z x) y) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* z (+ 1 (/ y z))) |
(+.f64 z y) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(fma.f64 (/.f64 (+.f64 y x) z) z z) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 z x) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 z y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 48 |
| 0 | 21 | 42 |
| 1 | 112 | 40 |
| 2 | 875 | 40 |
| 0 | 8569 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 z x)) |
(+.f64 z x) |
#s(approx (+ (+ x y) z) (+.f64 z y)) |
(+.f64 z y) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) z) |
(pow.f64 (+.f64 y x) #s(literal -1 binary64)) |
(+.f64 y x) |
| Outputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 z x)) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(*.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z))))) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (pow.f64 (-.f64 z x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (+.f64 z x) (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 z x)) |
(*.f64 (+.f64 z x) (*.f64 (-.f64 z x) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 z z) (-.f64 z x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) (+.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 z z) (-.f64 z x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)) (*.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (-.f64 x z))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 z x))) (neg.f64 (neg.f64 (-.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x))) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (-.f64 x z)) |
(/.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 z x)) (neg.f64 (-.f64 z x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (-.f64 z x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 z x) (-.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 z x)) (-.f64 z x))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(neg.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 (-.f64 z x)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z))))) |
(fma.f64 (*.f64 z z) (pow.f64 (-.f64 z x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x)))) |
(fma.f64 #s(literal 1 binary64) z x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x))) |
(+.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x)))) |
(+.f64 z x) |
(+.f64 x z) |
#s(approx (+ (+ x y) z) (+.f64 z y)) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 y z))) |
(*.f64 (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y z) (*.f64 z z))))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) (*.f64 (+.f64 z y) (pow.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 z (-.f64 z y))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 z y)) |
(*.f64 (+.f64 z y) (*.f64 (-.f64 z y) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 z z) (-.f64 z y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (+.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 z z) (-.f64 z y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)) (*.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (-.f64 y z))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y))) (neg.f64 (neg.f64 (-.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y z) (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z y)) (*.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) (-.f64 z y))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (-.f64 y z)) |
(/.f64 (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)) (neg.f64 (-.f64 z y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 z (-.f64 z y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (-.f64 z y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y (-.f64 y z) (*.f64 z z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (*.f64 (+.f64 z y) (-.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 z (-.f64 z y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 z y)) (-.f64 z y)) (-.f64 z y))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(neg.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (neg.f64 (-.f64 z y)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y z) (*.f64 z z))))) |
(fma.f64 (*.f64 z z) (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 z y)))) |
(fma.f64 #s(literal 1 binary64) z y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y z)) (/.f64 (*.f64 z z) (-.f64 y z))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))) |
(+.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 z y)))) |
(+.f64 z y) |
(+.f64 y z) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x))) |
(*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x)))) |
(*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
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(fma.f64 (*.f64 x x) (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 y (-.f64 y x)) (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(fma.f64 y (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)))) |
(fma.f64 x (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(-.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(-.f64 (/.f64 y (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x)))) |
(-.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 y (*.f64 (+.f64 y x) (-.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(exp.f64 (fma.f64 (log.f64 (+.f64 y x)) #s(literal -1/2 binary64) (*.f64 (log.f64 (+.f64 y x)) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 y x)))) |
(+.f64 (*.f64 y (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 x (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1 binary64))) (*.f64 (neg.f64 y) (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 x (-.f64 x y)) (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 y y) (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 x (-.f64 x y)) (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 y (-.f64 y x)) (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 x))) |
(+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1 binary64)) x) (*.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1 binary64)) (neg.f64 y))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 x (-.f64 x y))) (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 y y))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 x (-.f64 x y)))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 y (-.f64 y x))) (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 y (-.f64 y x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x))) |
(*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x)))) |
(*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 y x) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 y x) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 y x) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 y x) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 y x))) |
(*.f64 #s(literal 1 binary64) (+.f64 y x)) |
(*.f64 (+.f64 y x) (*.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (+.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 y x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (exp.f64 (log.f64 (-.f64 y x)))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (exp.f64 (log.f64 (-.f64 x y)))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) (neg.f64 (-.f64 y x))) |
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (+.f64 y x) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (neg.f64 (+.f64 y x)) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (+.f64 y x))) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) |
(exp.f64 (log.f64 (+.f64 y x))) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 7 520 to 1 189 computations (84.2% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 387 | 1 | 388 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 1 | 1 |
| Total | 388 | 4 | 392 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (+.f64 x y) z) |
| ▶ | 85.7% | #s(approx (+ (+ x y) z) (fma.f64 (/.f64 (+.f64 y x) z) z z)) |
| ✓ | 52.8% | #s(approx (+ (+ x y) z) (+.f64 z y)) |
| ✓ | 99.2% | #s(approx (+ (+ x y) z) (+.f64 z x)) |
Compiled 37 to 28 computations (24.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 (+.f64 y x) z) | |
| cost-diff | 0 | #s(approx (+ (+ x y) z) (fma.f64 (/.f64 (+.f64 y x) z) z z)) | |
| cost-diff | 3 | (fma.f64 (/.f64 (+.f64 y x) z) z z) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 33 |
| 0 | 13 | 33 |
| 1 | 24 | 33 |
| 2 | 39 | 31 |
| 3 | 57 | 27 |
| 4 | 69 | 27 |
| 5 | 125 | 27 |
| 6 | 244 | 27 |
| 7 | 944 | 27 |
| 8 | 4469 | 27 |
| 9 | 5032 | 27 |
| 10 | 5506 | 27 |
| 11 | 5841 | 27 |
| 12 | 6129 | 27 |
| 13 | 6519 | 27 |
| 0 | 8577 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ x y) z) (fma.f64 (/.f64 (+.f64 y x) z) z z)) |
(fma.f64 (/.f64 (+.f64 y x) z) z z) |
(/.f64 (+.f64 y x) z) |
(+.f64 y x) |
y |
x |
z |
| Outputs |
|---|
#s(approx (+ (+ x y) z) (fma.f64 (/.f64 (+.f64 y x) z) z z)) |
#s(approx (+ (+ x y) z) (+.f64 (+.f64 z x) y)) |
(fma.f64 (/.f64 (+.f64 y x) z) z z) |
(+.f64 (+.f64 z x) y) |
(/.f64 (+.f64 y x) z) |
(+.f64 y x) |
y |
x |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0 | #s(approx (+ (+ x y) z) (fma.f64 (/.f64 (+.f64 y x) z) z z)) | |
| accuracy | 0.015625 | (/.f64 (+.f64 y x) z) | |
| accuracy | 9.132439193050942 | (fma.f64 (/.f64 (+.f64 y x) z) z z) |
| 30.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 27 to 11 computations (59.3% saved)
ival-add: 13.0ms (70.6% of total)ival-div: 4.0ms (21.7% of total)ival-mult: 2.0ms (10.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 (+.f64 y x) z) z z) |
#s(approx (+ (+ x y) z) (fma.f64 (/.f64 (+.f64 y x) z) z z)) |
(/.f64 (+.f64 y x) z) |
(+.f64 y x) |
| Outputs |
|---|
(+ y z) |
(+ x (+ y z)) |
(/ y z) |
(+ (/ x z) (/ y z)) |
y |
(+ x y) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(/ x z) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ x z) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(/ (+ x y) z) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | ((+ (* (/ (+ y x) z) z) z) (+ (+ x y) z) (/ (+ y x) z) (+ y x)) |
| 1.0ms | z | @ | -inf | ((+ (* (/ (+ y x) z) z) z) (+ (+ x y) z) (/ (+ y x) z) (+ y x)) |
| 0.0ms | z | @ | inf | ((+ (* (/ (+ y x) z) z) z) (+ (+ x y) z) (/ (+ y x) z) (+ y x)) |
| 0.0ms | z | @ | 0 | ((+ (* (/ (+ y x) z) z) z) (+ (+ x y) z) (/ (+ y x) z) (+ y x)) |
| 0.0ms | x | @ | -inf | ((+ (* (/ (+ y x) z) z) z) (+ (+ x y) z) (/ (+ y x) z) (+ y x)) |
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 107 |
| 1 | 202 | 107 |
| 2 | 533 | 107 |
| 3 | 1760 | 95 |
| 4 | 3981 | 95 |
| 5 | 5347 | 95 |
| 6 | 6259 | 95 |
| 7 | 6427 | 95 |
| 8 | 6445 | 95 |
| 9 | 6445 | 95 |
| 10 | 7361 | 95 |
| 11 | 7854 | 95 |
| 0 | 8050 | 95 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ y z) |
(+ x (+ y z)) |
(/ y z) |
(+ (/ x z) (/ y z)) |
y |
(+ x y) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(/ x z) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+ x z) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(/ (+ x y) z) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
| Outputs |
|---|
(+ y z) |
(+.f64 z y) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(/ y z) |
(/.f64 y z) |
(+ (/ x z) (/ y z)) |
(/.f64 (+.f64 x y) z) |
y |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 z y) x) |
(/ x z) |
(/.f64 x z) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(/.f64 (+.f64 x y) z) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (+.f64 x y) z) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(+ x z) |
(+.f64 z x) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 z y) x) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(/.f64 (+.f64 x y) z) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(/.f64 (+.f64 x y) z) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(/ (+ x y) z) |
(/.f64 (+.f64 x y) z) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 z y) x) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+.f64 (+.f64 z y) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 0 | 13 | 30 |
| 1 | 78 | 30 |
| 2 | 724 | 24 |
| 0 | 9101 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (+.f64 y x) z) z z) |
#s(approx (+ (+ x y) z) (fma.f64 (/.f64 (+.f64 y x) z) z z)) |
(/.f64 (+.f64 y x) z) |
(+.f64 y x) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (+.f64 x y)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 x y) z))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (+.f64 z y) (-.f64 (+.f64 z y) x))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 x y) z))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) z)) z) |
(*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (-.f64 (+.f64 x y) z) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 z (+.f64 x y))) |
(*.f64 (fma.f64 z (-.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (+.f64 z (+.f64 x y)) (pow.f64 (fma.f64 z (-.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (+.f64 x y) (-.f64 (+.f64 x y) z))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 z (+.f64 x y)) (*.f64 (-.f64 (+.f64 x y) z) (pow.f64 (-.f64 (+.f64 x y) z) #s(literal -1 binary64)))) |
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) z))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (+.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -2 binary64)) #s(literal 1 binary64)) z) (-.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -3 binary64)) #s(literal 1 binary64)) z) (-.f64 (+.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 (+.f64 x y) z) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 x y) z) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 z (-.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (fma.f64 z (-.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64))) |
(/.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 1 binary64)) (-.f64 (+.f64 x y) z)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 z (-.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (+.f64 x y) z)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (+.f64 x y) z))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (+.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (+.f64 x y) z)))) (+.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (+.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (+.f64 x y) z)))) |
(/.f64 (-.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (*.f64 y y)) (-.f64 (+.f64 z x) y)) |
(/.f64 (-.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (+.f64 z y) x)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 x z) (+.f64 x z))) (-.f64 y (+.f64 x z))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (+.f64 x y) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 (+.f64 x y) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (+.f64 x y) z)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (+.f64 x y) z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 (+.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (+.f64 x y) z)) (*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (+.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (+.f64 x y) z)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 z x) (+.f64 z x) (-.f64 (*.f64 y y) (*.f64 (+.f64 z x) y)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (+.f64 z y) x)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (*.f64 y (+.f64 x z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x y) z))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (+.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 x y) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 z y) (-.f64 (+.f64 z y) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (+.f64 x y) z)) (*.f64 (-.f64 (+.f64 x y) z) (*.f64 z z))) (*.f64 (-.f64 (+.f64 x y) z) (-.f64 (+.f64 x y) z))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 z (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (-.f64 (-.f64 x y) z)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (+.f64 z y) (-.f64 (+.f64 z y) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) (fma.f64 #s(literal -1 binary64) (+.f64 x y) z)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (+.f64 x y) (-.f64 (+.f64 x y) z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (+.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (+.f64 x y) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (+.f64 x y)) (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x y) z) (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (+.f64 z y) (-.f64 (+.f64 z y) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (+.f64 x y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (+.f64 x y) (-.f64 (+.f64 x y) z))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (+.f64 x y)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (+.f64 x y) (-.f64 (+.f64 x y) z)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) (-.f64 (+.f64 x y) z))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 #s(literal -1 binary64) (+.f64 x y) z))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 z (-.f64 z (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 z (-.f64 x y)) z) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 x y) (-.f64 y x)))) (/.f64 z (-.f64 y x)) z) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 z (fma.f64 y (-.f64 y x) (*.f64 x x))) z) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 z (fma.f64 x (-.f64 x y) (*.f64 y y))) z) |
(fma.f64 (/.f64 z (/.f64 z (*.f64 (+.f64 x y) (-.f64 x y)))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) z) |
(fma.f64 (/.f64 z (/.f64 z (*.f64 (+.f64 x y) (-.f64 y x)))) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) z) |
(fma.f64 (/.f64 z (/.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) z) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) z)) (*.f64 z (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) z)) (*.f64 (-.f64 x y) z)) |
(/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) z)) (*.f64 z (-.f64 y x))) |
(/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) z)) (*.f64 (-.f64 y x) z)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (*.f64 z (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (*.f64 z (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) z)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) z)) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 x y)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (neg.f64 (-.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (*.f64 z (+.f64 x y)) z) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (+.f64 x y)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (neg.f64 z) (/.f64 (neg.f64 z) (+.f64 x y))) |
(/.f64 z (/.f64 z (+.f64 x y))) |
(neg.f64 (neg.f64 (+.f64 x y))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x y))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x)))) |
(+.f64 x y) |
(+.f64 y x) |
Compiled 10 044 to 1 608 computations (84% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 389 | 1 | 390 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 390 | 4 | 394 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (+.f64 x y) z) |
| ▶ | 52.8% | #s(approx (+ (+ x y) z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)) |
| ✓ | 52.8% | #s(approx (+ (+ x y) z) (+.f64 z y)) |
| ✓ | 99.2% | #s(approx (+ (+ x y) z) (+.f64 z x)) |
Compiled 41 to 30 computations (26.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (+ y x) z) (/.f64 y z)) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z) | |
| cost-diff | 0 | #s(approx (+ (+ x y) z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 44 |
| 0 | 14 | 44 |
| 1 | 23 | 44 |
| 2 | 34 | 44 |
| 3 | 42 | 44 |
| 4 | 42 | 44 |
| 5 | 61 | 44 |
| 6 | 61 | 44 |
| 0 | 61 | 44 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ x y) z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)) |
(fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z) |
#s(approx (/ (+ y x) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
| Outputs |
|---|
#s(approx (+ (+ x y) z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)) |
(fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z) |
#s(approx (/ (+ y x) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.0 | #s(approx (+ (+ x y) z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)) | |
| accuracy | 9.132439193050942 | (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z) | |
| accuracy | 39.90081177021875 | #s(approx (/ (+ y x) z) (/.f64 y z)) |
| 29.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 26 to 12 computations (53.8% saved)
ival-add: 5.0ms (45.9% of total)ival-div: 4.0ms (36.7% of total)ival-mult: 2.0ms (18.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (+ x y) z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)) |
(fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z) |
#s(approx (/ (+ y x) z) (/.f64 y z)) |
(/.f64 y z) |
| Outputs |
|---|
(+ y z) |
(+ x (+ y z)) |
(/ y z) |
(+ (/ x z) (/ y z)) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(/ x z) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(+ x z) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(+ x y) |
(/ (+ x y) z) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((+ (+ x y) z) (+ (* (/ (+ y x) z) z) z) (/ (+ y x) z) (/ y z)) |
| 1.0ms | y | @ | inf | ((+ (+ x y) z) (+ (* (/ (+ y x) z) z) z) (/ (+ y x) z) (/ y z)) |
| 1.0ms | y | @ | -inf | ((+ (+ x y) z) (+ (* (/ (+ y x) z) z) z) (/ (+ y x) z) (/ y z)) |
| 1.0ms | z | @ | inf | ((+ (+ x y) z) (+ (* (/ (+ y x) z) z) z) (/ (+ y x) z) (/ y z)) |
| 0.0ms | z | @ | 0 | ((+ (+ x y) z) (+ (* (/ (+ y x) z) z) z) (/ (+ y x) z) (/ y z)) |
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 95 |
| 1 | 164 | 95 |
| 2 | 455 | 95 |
| 3 | 1563 | 83 |
| 4 | 3601 | 83 |
| 5 | 5432 | 83 |
| 6 | 6664 | 83 |
| 7 | 6863 | 83 |
| 8 | 6960 | 83 |
| 9 | 6972 | 83 |
| 10 | 7892 | 83 |
| 0 | 8012 | 83 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ y z) |
(+ x (+ y z)) |
(/ y z) |
(+ (/ x z) (/ y z)) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(/ x z) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(+ x z) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(+ x y) |
(/ (+ x y) z) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
| Outputs |
|---|
(+ y z) |
(+.f64 z y) |
(+ x (+ y z)) |
(+.f64 (+.f64 z x) y) |
(/ y z) |
(/.f64 y z) |
(+ (/ x z) (/ y z)) |
(/.f64 (+.f64 y x) z) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(+.f64 (+.f64 z x) y) |
(/ x z) |
(/.f64 x z) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(/.f64 (+.f64 y x) z) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(+.f64 (+.f64 z x) y) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(/.f64 (+.f64 y x) z) |
(+ x z) |
(+.f64 z x) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(+.f64 (+.f64 z x) y) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(/.f64 (+.f64 y x) z) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+.f64 (+.f64 z x) y) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(/.f64 (+.f64 y x) z) |
(+ x y) |
(+.f64 y x) |
(/ (+ x y) z) |
(/.f64 (+.f64 y x) z) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(+.f64 (+.f64 z x) y) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+.f64 (+.f64 z x) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 0 | 14 | 42 |
| 1 | 81 | 42 |
| 2 | 722 | 42 |
| 0 | 8303 | 42 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ x y) z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)) |
(fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z) |
#s(approx (/ (+ y x) z) (/.f64 y z)) |
(/.f64 y z) |
| Outputs |
|---|
#s(approx (+ (+ x y) z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (*.f64 z (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 4 binary64)) (pow.f64 (*.f64 z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z))) #s(literal 2 binary64)))) (*.f64 z (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) z) (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z))))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 6 binary64)) (pow.f64 (*.f64 z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 4 binary64)) (*.f64 (*.f64 z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z))) (-.f64 (*.f64 z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z))) (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (*.f64 z z))) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)) |
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)))) |
(*.f64 (pow.f64 (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (*.f64 z z))) |
(*.f64 (pow.f64 (*.f64 z (fma.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) #s(approx (/ (+ y x) z) (/.f64 y z)) z))) |
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (fma.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) z) (/.f64 y z))) z) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)) |
(*.f64 (*.f64 z (fma.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)))) (*.f64 (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z) (pow.f64 (*.f64 z (fma.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (*.f64 z (fma.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z) (*.f64 (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)) (pow.f64 (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)) #s(literal -1 binary64)))) |
(*.f64 z (+.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) z) (/.f64 y z)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64)) z) (-.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) z) (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) z) (/.f64 y z))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)) #s(literal -1 binary64))) (*.f64 z (fma.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z z) #s(approx (/ (+ y x) z) (/.f64 y z))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z (fma.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (*.f64 z (fma.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)))) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z z) #s(approx (/ (+ y x) z) (/.f64 y z))) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 1 binary64)) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 z (fma.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z))))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 z (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) z) (/.f64 y z))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))) (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))) (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (fma.f64 (neg.f64 z) #s(approx (/ (+ y x) z) (/.f64 y z)) z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 z (fma.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))) (*.f64 (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)) (*.f64 z z))) (*.f64 (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64))) (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (*.f64 z z))) (fma.f64 (neg.f64 z) #s(approx (/ (+ y x) z) (/.f64 y z)) z)) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (*.f64 z (fma.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)) (-.f64 (*.f64 z z) (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)))) (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z))) |
(/.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 z (fma.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z))))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (*.f64 z z))) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 (neg.f64 z) #s(approx (/ (+ y x) z) (/.f64 y z)) z))) |
(neg.f64 (/.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 z (fma.f64 (pow.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 2 binary64)) z (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z))))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (*.f64 z (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (*.f64 z z))) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)) |
(fma.f64 #s(literal 1 binary64) z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)) |
(fma.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))))) |
(fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z) |
(fma.f64 z #s(literal 1 binary64) (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)) |
(fma.f64 z #s(approx (/ (+ y x) z) (/.f64 y z)) z) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z))) (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (-.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) #s(literal 2 binary64)) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z (neg.f64 z))))) |
(+.f64 (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z) z) |
(+.f64 z (*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z)) |
(*.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) #s(literal 1 binary64)) |
#s(approx (/ (+ y x) z) (/.f64 y z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) y) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 y (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 y z) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
Compiled 3 841 to 399 computations (89.6% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 97 | 1 | 98 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 2 | 3 |
| Total | 98 | 4 | 102 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.8% | #s(approx (+ (+ x y) z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)) |
| ✓ | 52.8% | #s(approx (+ (+ x y) z) (+.f64 z y)) |
| ✓ | 99.2% | #s(approx (+ (+ x y) z) (+.f64 z x)) |
| 49.1% | #s(approx (+ (+ x y) z) (+.f64 y x)) |
Compiled 118 to 59 computations (50% saved)
| Inputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 y x)) |
#s(approx (+ (+ x y) z) (+.f64 z x)) |
#s(approx (+ (+ x y) z) (+.f64 z y)) |
(+.f64 (+.f64 x y) z) |
#s(approx (+ (+ x y) z) (fma.f64 #s(approx (/ (+ y x) z) (/.f64 y z)) z z)) |
#s(approx (+ (+ x y) z) (fma.f64 (/.f64 (+.f64 y x) z) z z)) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) z) |
| Outputs |
|---|
(+.f64 (+.f64 x y) z) |
5 calls:
| 52.0ms | (+.f64 x y) |
| 3.0ms | (+.f64 (+.f64 x y) z) |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 (+.f64 x y) z) |
| 100.0% | 1 | (+.f64 x y) |
Compiled 11 to 18 computations (-63.6% saved)
| Inputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 y x)) |
#s(approx (+ (+ x y) z) (+.f64 z x)) |
#s(approx (+ (+ x y) z) (+.f64 z y)) |
| Outputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 z x)) |
5 calls:
| 3.0ms | y |
| 2.0ms | (+.f64 (+.f64 x y) z) |
| 2.0ms | x |
| 2.0ms | (+.f64 x y) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | y |
| 99.2% | 1 | z |
| 99.2% | 1 | (+.f64 (+.f64 x y) z) |
| 99.2% | 1 | (+.f64 x y) |
Compiled 11 to 18 computations (-63.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 y x)) |
| Outputs |
|---|
#s(approx (+ (+ x y) z) (+.f64 y x)) |
5 calls:
| 4.0ms | z |
| 1.0ms | (+.f64 (+.f64 x y) z) |
| 1.0ms | y |
| 1.0ms | (+.f64 x y) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.1% | 1 | x |
| 49.1% | 1 | y |
| 49.1% | 1 | z |
| 49.1% | 1 | (+.f64 (+.f64 x y) z) |
| 49.1% | 1 | (+.f64 x y) |
Compiled 11 to 18 computations (-63.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 15 | 23 |
| 2 | 22 | 23 |
| 3 | 24 | 23 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 x y) z) |
#s(approx (+ (+ x y) z) (+.f64 z x)) |
#s(approx (+ (+ x y) z) (+.f64 y x)) |
| Outputs |
|---|
(+.f64 (+.f64 x y) z) |
#s(approx (+ (+ x y) z) (+.f64 z x)) |
#s(approx (+ (+ x y) z) (+.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 397 |
| 1 | 528 | 375 |
| 2 | 1348 | 341 |
| 3 | 4337 | 335 |
| 0 | 8490 | 322 |
| 0 | 68 | 107 |
| 1 | 202 | 107 |
| 2 | 533 | 107 |
| 3 | 1760 | 95 |
| 4 | 3981 | 95 |
| 5 | 5347 | 95 |
| 6 | 6259 | 95 |
| 7 | 6427 | 95 |
| 8 | 6445 | 95 |
| 9 | 6445 | 95 |
| 10 | 7361 | 95 |
| 11 | 7854 | 95 |
| 0 | 8050 | 95 |
| 0 | 56 | 95 |
| 1 | 164 | 95 |
| 2 | 455 | 95 |
| 3 | 1563 | 83 |
| 4 | 3601 | 83 |
| 5 | 5432 | 83 |
| 6 | 6664 | 83 |
| 7 | 6863 | 83 |
| 8 | 6960 | 83 |
| 9 | 6972 | 83 |
| 10 | 7892 | 83 |
| 0 | 8012 | 83 |
| 0 | 51 | 59 |
| 1 | 148 | 59 |
| 2 | 381 | 59 |
| 3 | 1199 | 59 |
| 4 | 3052 | 59 |
| 5 | 5506 | 59 |
| 6 | 6507 | 59 |
| 7 | 6617 | 59 |
| 8 | 6708 | 59 |
| 9 | 6720 | 59 |
| 0 | 8358 | 59 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 40 to 32 computations (20% saved)
(sort x y z)
Compiled 76 to 52 computations (31.6% saved)
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