
Time bar (total: 2.6s)
| 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)
| 337.0ms | 8 256× | 0 | valid |
ival-div: 70.0ms (49.4% of total)ival-add: 57.0ms (40.2% of total)ival-true: 7.0ms (4.9% of total)exact: 6.0ms (4.2% of total)ival-assert: 3.0ms (2.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x y) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 20.0ms | 512× | 0 | valid |
Compiled 42 to 24 computations (42.9% saved)
ival-div: 4.0ms (51.6% of total)ival-add: 3.0ms (38.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 27 |
| 1 | 35 | 25 |
| 2 | 66 | 25 |
| 3 | 139 | 25 |
| 4 | 348 | 25 |
| 5 | 523 | 25 |
| 6 | 555 | 25 |
| 7 | 572 | 25 |
| 0 | 5 | 5 |
| 0 | 7 | 5 |
| 1 | 8 | 5 |
| 0 | 8 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 y x) #s(literal 2 binary64)) |
(sort x y)
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 x y) #s(literal 2 binary64)) |
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) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 7 | 11 |
| 1 | 8 | 11 |
| 0 | 8 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) #s(literal 2 binary64)) |
(+.f64 x y) |
x |
y |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+.f64 y x) |
x |
y |
#s(literal 2 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 (+.f64 x y) #s(literal 2 binary64)) | |
| accuracy | 0 | (+.f64 x y) |
| 10.0ms | 256× | 0 | valid |
Compiled 24 to 12 computations (50% saved)
ival-div: 2.0ms (52.5% of total)ival-add: 2.0ms (52.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 x y) #s(literal 2 binary64)) |
(+.f64 x y) |
| Outputs |
|---|
(* 1/2 y) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((/ (+ x y) 2) (+ x y)) |
| 0.0ms | x | @ | -inf | ((/ (+ x y) 2) (+ x y)) |
| 0.0ms | x | @ | inf | ((/ (+ x y) 2) (+ x y)) |
| 0.0ms | y | @ | inf | ((/ (+ x y) 2) (+ x y)) |
| 0.0ms | x | @ | 0 | ((/ (+ x y) 2) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 168 |
| 1 | 115 | 168 |
| 2 | 264 | 168 |
| 3 | 783 | 168 |
| 4 | 1826 | 168 |
| 5 | 2659 | 168 |
| 6 | 3332 | 168 |
| 7 | 3633 | 168 |
| 8 | 3797 | 168 |
| 9 | 3833 | 168 |
| 10 | 6109 | 168 |
| 0 | 8059 | 168 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 y) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
y |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
x |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
x |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
x |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
y |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
y |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 31 | 8 |
| 2 | 182 | 8 |
| 3 | 1731 | 8 |
| 0 | 8175 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) #s(literal 2 binary64)) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (-.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 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.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 #s(literal 1/2 binary64) (+.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) (fma.f64 (-.f64 y x) y (neg.f64 (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (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 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (neg.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.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 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 y x)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 y x))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 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 (neg.f64 (+.f64 y x)) (-.f64 x y)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 x y))))) |
(*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(*.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 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 x y))))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (-.f64 x y))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))) |
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (+.f64 y x)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (/.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal 1 binary64)) |
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(/.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))) |
(/.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (+.f64 y x) #s(literal 1 binary64)) |
(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 y (+.f64 y x) (*.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 (neg.f64 (*.f64 x x)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 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)))) |
(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 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))) (/.f64 (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 (*.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 (/.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 (/.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x y) (*.f64 y y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))) (/.f64 (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)) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (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 (pow.f64 x #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 (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 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (+.f64 y x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (neg.f64 (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (neg.f64 (neg.f64 (-.f64 x y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 x y))))) |
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (neg.f64 (-.f64 x y)))) (/.f64 (*.f64 y y) (neg.f64 (neg.f64 (-.f64 x y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (-.f64 x y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (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)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.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 (pow.f64 y #s(literal 6 binary64)) (-.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 (*.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 x (/.f64 x (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x))) |
(-.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)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (+.f64 y x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.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 y y) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(+.f64 #s(literal 0 binary64) (+.f64 y x)) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 8 674 to 1 094 computations (87.4% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 409 | 3 | 412 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 410 | 3 | 413 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
| ▶ | 53.0% | #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)) |
| ▶ | 48.8% | #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 23 to 21 computations (8.7% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 0 | 16 | 39 |
| 1 | 20 | 39 |
| 2 | 22 | 39 |
| 0 | 22 | 39 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(+.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(+.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0 | (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 30.088560274667206 | #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 32.73726144367963 | #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
| 20.0ms | 256× | 0 | valid |
Compiled 72 to 24 computations (66.7% saved)
ival-mult: 4.0ms (41.7% of total)ival-add: 3.0ms (31.3% of total)ival-div: 2.0ms (20.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(+.f64 y x) |
| Outputs |
|---|
(* 1/2 y) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 y) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(* 1/2 y) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (* (+ y x) 1/2) (+ y x)) |
| 1.0ms | x | @ | inf | ((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (* (+ y x) 1/2) (+ y x)) |
| 0.0ms | y | @ | -inf | ((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (* (+ y x) 1/2) (+ y x)) |
| 0.0ms | x | @ | 0 | ((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (* (+ y x) 1/2) (+ y x)) |
| 0.0ms | y | @ | inf | ((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (* (+ y x) 1/2) (+ y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 456 |
| 1 | 115 | 456 |
| 2 | 264 | 456 |
| 3 | 787 | 456 |
| 4 | 1834 | 456 |
| 5 | 2673 | 456 |
| 6 | 3344 | 456 |
| 7 | 3645 | 456 |
| 8 | 3807 | 456 |
| 9 | 3843 | 456 |
| 10 | 6065 | 456 |
| 0 | 8015 | 456 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 y) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 y) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(* 1/2 y) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
(* x (+ 1/2 (* 1/2 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1/2 (/ y x)) 1/2))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
(+ (* 1/2 x) (* 1/2 y)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
(* y (+ 1/2 (* 1/2 (/ x y)))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1/2))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
y |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
x |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
x |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
x |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
y |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
y |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 0 | 16 | 32 |
| 1 | 50 | 32 |
| 2 | 304 | 32 |
| 3 | 3209 | 32 |
| 0 | 8495 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(+.f64 y x) |
| Outputs |
|---|
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y x) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)) #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 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (-.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 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (-.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 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (-.f64 x y) x))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (-.f64 x y)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (-.f64 y x)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(*.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 y x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (-.f64 x y))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (-.f64 y x))) |
(*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (pow.f64 (*.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))) |
(*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 y x)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 y x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (/.f64 (-.f64 y x) (-.f64 y x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (/.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (-.f64 x y)) #s(literal -1 binary64))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 y x)) (-.f64 y x)) #s(literal -1 binary64))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) #s(literal -1/2 binary64))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) #s(literal -1/2 binary64))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 (-.f64 x y)))) |
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(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (-.f64 y x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 y x))) (neg.f64 (+.f64 y x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 11 371 to 1 363 computations (88% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 568 | 0 | 568 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 568 | 3 | 571 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
| ✓ | 53.0% | #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)) |
| ✓ | 48.8% | #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 51 to 36 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 x y) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
4 calls:
| 6.0ms | (+.f64 x y) |
| 2.0ms | y |
| 2.0ms | (/.f64 (+.f64 x y) #s(literal 2 binary64)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (+.f64 x y) #s(literal 2 binary64)) |
| 100.0% | 1 | (+.f64 x y) |
Compiled 10 to 12 computations (-20% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)) |
4 calls:
| 2.0ms | (/.f64 (+.f64 x y) #s(literal 2 binary64)) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 2 | x |
| 82.7% | 2 | y |
| 98.5% | 2 | (/.f64 (+.f64 x y) #s(literal 2 binary64)) |
| 98.5% | 2 | (+.f64 x y) |
Compiled 10 to 12 computations (-20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
4 calls:
| 4.0ms | (+.f64 x y) |
| 1.0ms | (/.f64 (+.f64 x y) #s(literal 2 binary64)) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.8% | 1 | x |
| 48.8% | 1 | y |
| 48.8% | 1 | (/.f64 (+.f64 x y) #s(literal 2 binary64)) |
| 48.8% | 1 | (+.f64 x y) |
Compiled 10 to 12 computations (-20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -7.318118284782924e-265 | 4.6036892320964e-248 |
Compiled 8 to 10 computations (-25% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 38 |
| 1 | 20 | 38 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 y x) #s(literal 1/2 binary64)) |
(if (<=.f64 (+.f64 x y) #s(literal -283625966735417/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))) |
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) #s(literal 1/2 binary64)) |
(if (<=.f64 (+.f64 x y) #s(literal -283625966735417/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))) |
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 168 |
| 1 | 115 | 168 |
| 2 | 264 | 168 |
| 3 | 783 | 168 |
| 4 | 1826 | 168 |
| 5 | 2659 | 168 |
| 6 | 3332 | 168 |
| 7 | 3633 | 168 |
| 8 | 3797 | 168 |
| 9 | 3833 | 168 |
| 10 | 6109 | 168 |
| 0 | 8059 | 168 |
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 31 | 8 |
| 2 | 182 | 8 |
| 3 | 1731 | 8 |
| 0 | 8175 | 8 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 57 to 35 computations (38.6% saved)
(sort x y)
Compiled 106 to 60 computations (43.4% saved)
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