
Time bar (total: 6.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 7 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 11 to 11 computations (0% saved)
| 712.0ms | 8 256× | 0 | valid |
ival-add: 141.0ms (34.9% of total)ival-sub: 103.0ms (25.5% of total)ival-mult: 77.0ms (19.1% of total)ival-div: 69.0ms (17.1% of total)ival-true: 6.0ms (1.5% of total)exact: 5.0ms (1.2% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 t #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x y) z) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 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 |
| 50.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
Compiled 63 to 31 computations (50.8% saved)
ival-div: 3.0ms (23.2% of total)ival-add: 3.0ms (23.2% of total)ival-mult: 3.0ms (23.2% of total)ival-sub: 2.0ms (15.5% 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)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 140 |
| 1 | 142 | 132 |
| 2 | 431 | 132 |
| 3 | 1076 | 132 |
| 4 | 2370 | 132 |
| 5 | 3569 | 132 |
| 6 | 4281 | 132 |
| 7 | 4698 | 132 |
| 8 | 4871 | 132 |
| 9 | 4937 | 132 |
| 10 | 5045 | 132 |
| 11 | 5084 | 132 |
| 12 | 5133 | 132 |
| 13 | 5239 | 132 |
| 14 | 5426 | 132 |
| 15 | 5694 | 132 |
| 16 | 5824 | 132 |
| 17 | 5891 | 132 |
| 18 | 5950 | 132 |
| 19 | 5950 | 132 |
| 0 | 9 | 9 |
| 0 | 13 | 9 |
| 1 | 24 | 9 |
| 2 | 50 | 9 |
| 3 | 83 | 9 |
| 4 | 105 | 9 |
| 5 | 124 | 9 |
| 6 | 130 | 9 |
| 0 | 130 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (/.f64 (-.f64 (+.f64 y x) z) #s(literal 2 binary64)) t) |
(negabs t)
(sort x y)
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 (+.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 0 | 13 | 25 |
| 1 | 24 | 25 |
| 2 | 50 | 25 |
| 3 | 83 | 25 |
| 4 | 105 | 25 |
| 5 | 124 | 25 |
| 6 | 130 | 25 |
| 0 | 130 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (/.f64 (-.f64 (+.f64 y x) z) #s(literal 2 binary64)) t) |
(-.f64 (+.f64 x y) z) |
(-.f64 (+.f64 y x) z) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
t |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (-.f64 (+.f64 x y) z) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 14.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 27 to 11 computations (59.3% saved)
ival-div: 2.0ms (32.7% of total)ival-add: 1.0ms (16.4% of total)ival-mult: 1.0ms (16.4% of total)ival-sub: 1.0ms (16.4% 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 |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 (+.f64 x y) z) |
(+.f64 x y) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(- y z) |
(- (+ x y) z) |
y |
(+ x y) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(- x z) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ x (+ y (* -1 z))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 2 t) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | x | @ | -inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | t | @ | inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | x | @ | inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1.0ms | t | @ | 0 | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ x y) (* t 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 246 |
| 1 | 313 | 226 |
| 2 | 902 | 226 |
| 3 | 3088 | 224 |
| 0 | 8475 | 222 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(- y z) |
(- (+ x y) z) |
y |
(+ x y) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(- x z) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ x (+ y (* -1 z))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* -1 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 2 t) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(-.f64 (+.f64 y x) z) |
y |
(+ x y) |
(+.f64 y x) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x y) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 z y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(* 1/2 (/ (- x z) t)) |
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(- x z) |
(-.f64 x z) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 z x) y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 y x) z) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(-.f64 (+.f64 y x) z) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(-.f64 (+.f64 y x) z) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 0 | 13 | 20 |
| 1 | 52 | 20 |
| 2 | 392 | 20 |
| 3 | 5789 | 20 |
| 0 | 8785 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(-.f64 (+.f64 x y) z) |
(+.f64 x y) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 z (+.f64 y x)) (+.f64 z (+.f64 y x))) (/.f64 (/.f64 (-.f64 (+.f64 y x) z) #s(literal 2 binary64)) t)) |
(*.f64 (/.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 (+.f64 y x) z) #s(literal 2 binary64)) t)) |
(*.f64 (+.f64 z (+.f64 y x)) (/.f64 (-.f64 (+.f64 y x) z) (*.f64 (*.f64 (+.f64 z (+.f64 y x)) #s(literal 2 binary64)) t))) |
(*.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 y x) z) (*.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) t)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 (+.f64 y x) t) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) t) z)) (*.f64 #s(literal 2 binary64) t)) (*.f64 #s(literal 2 binary64) t)) |
(/.f64 (/.f64 (neg.f64 (-.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (neg.f64 t)) |
(/.f64 (-.f64 (*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) t)) (/.f64 x (*.f64 #s(literal 2 binary64) t))) (*.f64 (/.f64 (/.f64 (-.f64 y z) #s(literal 2 binary64)) t) (/.f64 (/.f64 (-.f64 y z) #s(literal 2 binary64)) t))) (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) t)) (/.f64 (/.f64 (-.f64 y z) #s(literal 2 binary64)) t))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 y z) #s(literal 2 binary64)) t) #s(literal 3 binary64))) (fma.f64 (/.f64 x (*.f64 #s(literal 2 binary64) t)) (/.f64 x (*.f64 #s(literal 2 binary64) t)) (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 y z) #s(literal 2 binary64)) t) (/.f64 (/.f64 (-.f64 y z) #s(literal 2 binary64)) t)) (*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) t)) (/.f64 (/.f64 (-.f64 y z) #s(literal 2 binary64)) t))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (+.f64 y x) z) #s(literal 2 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 z (+.f64 y x)) (*.f64 #s(literal 2 binary64) t)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 y x) t) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z (*.f64 #s(literal 2 binary64) t)) (/.f64 (+.f64 z (+.f64 y x)) (*.f64 #s(literal 2 binary64) t)) (pow.f64 (/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) t) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 y x) t) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) t) z))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) t) (*.f64 t (/.f64 z #s(literal 2 binary64)))) (*.f64 t t)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 t (/.f64 z t))) (*.f64 #s(literal 2 binary64) t)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) t)) (*.f64 t (neg.f64 z))) (*.f64 t (*.f64 #s(literal -2 binary64) t))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) t)) (*.f64 t z)) (*.f64 t (*.f64 #s(literal 2 binary64) t))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 y x) t) t) (*.f64 #s(literal 2 binary64) (/.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) t)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 y x) t) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 z t))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 y x) t) (*.f64 #s(literal -2 binary64) t)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) t))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 y x) t) (*.f64 #s(literal 2 binary64) t)) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) t))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 y x)) t) (*.f64 (*.f64 #s(literal -2 binary64) t) (/.f64 z #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) t) t)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) t) (/.f64 z t))) (*.f64 (*.f64 #s(literal -2 binary64) t) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) t)) (*.f64 (*.f64 #s(literal -2 binary64) t) (neg.f64 z))) (pow.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 2 binary64))) |
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(/.f64 (neg.f64 (neg.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 (+.f64 y x) #s(literal 2 binary64)) (+.f64 z (+.f64 y x))) (*.f64 (+.f64 z (+.f64 y x)) (*.f64 z z))) (*.f64 (+.f64 z (+.f64 y x)) (+.f64 z (+.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.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 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (fma.f64 z z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 z (+.f64 y x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (-.f64 x (-.f64 y z))) |
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 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 z (+.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.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 (pow.f64 (+.f64 y x) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (+.f64 y x) #s(literal 6 binary64))) (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 y z) x)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) x) (*.f64 x x))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 z (+.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 z (+.f64 y x))))) |
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 z (+.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #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 (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)))) |
(neg.f64 (neg.f64 (-.f64 (+.f64 y x) z))) |
(fma.f64 (/.f64 (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 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) z)) |
(fma.f64 (/.f64 (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 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) z)) |
(fma.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (+.f64 y x)))) |
(fma.f64 (/.f64 (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 (+.f64 y x) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (+.f64 y x)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) z)) |
(fma.f64 (neg.f64 (+.f64 y x)) (/.f64 (neg.f64 (+.f64 y x)) (+.f64 z (+.f64 y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (+.f64 y x)))) |
(fma.f64 (fabs.f64 (+.f64 y x)) (/.f64 (fabs.f64 (+.f64 y x)) (+.f64 z (+.f64 y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (+.f64 y x)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) z)) |
(fma.f64 (+.f64 y x) (/.f64 (+.f64 y x) (+.f64 z (+.f64 y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (+.f64 y x)))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) z)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 y z))) (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 x (-.f64 y z)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 z (+.f64 y x))) (*.f64 z (/.f64 z (+.f64 z (+.f64 y x))))) |
(-.f64 (/.f64 (pow.f64 (+.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 (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 x (/.f64 x (-.f64 x y))) (fma.f64 y (/.f64 y (-.f64 x y)) z)) |
(-.f64 (+.f64 y x) z) |
(-.f64 y (-.f64 z x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) x) (*.f64 x x))) (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) x) (*.f64 x x)))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 y z)))) |
(+.f64 (-.f64 x z) y) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) z)) |
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 z (+.f64 y x))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z (+.f64 y x)))) |
(+.f64 (-.f64 y z) x) |
(+.f64 y (-.f64 x z)) |
(+.f64 x (-.f64 y z)) |
(*.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 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y)))) (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (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 x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 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 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 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 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 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 (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 (-.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 (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 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 (/.f64 (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 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 y #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 (/.f64 (pow.f64 y #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x 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)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) 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)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y))) |
(+.f64 y x) |
(+.f64 x y) |
(*.f64 (neg.f64 (neg.f64 t)) #s(literal 2 binary64)) |
(*.f64 (neg.f64 t) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 t)) |
(*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 t))) |
(*.f64 #s(literal 2 binary64) t) |
(*.f64 t #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 t t) (*.f64 t t)) (-.f64 t t)) |
(/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (*.f64 t t) (*.f64 t t)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) t)) |
(+.f64 t t) |
Compiled 5 817 to 864 computations (85.1% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 8 | 210 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 203 | 8 | 211 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.6% | (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 t #s(literal 2 binary64))) |
| ▶ | 68.7% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| 69.8% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) | |
| 36.8% | (/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) | |
| ▶ | 70.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
| ▶ | 39.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
| 37.9% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) | |
| ▶ | 36.7% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
Compiled 236 to 200 computations (15.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (-.f64 y z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 (+.f64 y x) t) | |
| cost-diff | 0 | (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 x t) | |
| cost-diff | 0 | (*.f64 (/.f64 x t) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 z y)) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 t #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 177 |
| 0 | 46 | 177 |
| 1 | 75 | 177 |
| 2 | 122 | 177 |
| 3 | 190 | 177 |
| 4 | 265 | 177 |
| 5 | 364 | 177 |
| 6 | 469 | 177 |
| 7 | 647 | 177 |
| 8 | 885 | 177 |
| 9 | 1079 | 177 |
| 10 | 1245 | 177 |
| 11 | 1251 | 177 |
| 0 | 1251 | 177 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
#s(literal 1 binary64) |
(/.f64 z y) |
z |
y |
x |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
z |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(/.f64 x t) |
x |
t |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 y x) t) |
(+.f64 y x) |
y |
x |
t |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 #s(literal 2 binary64) t)) |
#s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
#s(literal 1 binary64) |
(/.f64 z y) |
z |
y |
x |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
t |
#s(literal 2 binary64) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
z |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x t))) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x t)) |
(/.f64 x t) |
x |
t |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 y x) t) |
(+.f64 y x) |
y |
x |
t |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 #s(literal 2 binary64) t)) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
y |
z |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
t |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 y z) | |
| accuracy | 0.0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) | |
| accuracy | 21.678762762883224 | #s(approx (- (+ x y) z) (-.f64 y z)) | |
| accuracy | 0.0 | (/.f64 (+.f64 y x) t) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0 | (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) | |
| accuracy | 19.211129890622768 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (/.f64 x t) | |
| accuracy | 0.0 | (*.f64 (/.f64 x t) #s(literal 1/2 binary64)) | |
| accuracy | 39.055317208335346 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1/2 binary64) t) | |
| accuracy | 0.1484375 | (*.f64 (/.f64 #s(literal -1/2 binary64) t) z) | |
| accuracy | 40.479417936176894 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) | |
| accuracy | 0.0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.0 | #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 t #s(literal 2 binary64))) | |
| accuracy | 8.302640119344275 | (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x) |
| 38.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 134 to 26 computations (80.6% saved)
ival-div: 8.0ms (35.3% of total)ival-mult: 7.0ms (30.9% of total)ival-add: 4.0ms (17.7% of total)ival-sub: 3.0ms (13.2% 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 |
|---|
(/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 #s(literal -1/2 binary64) t) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(/.f64 x t) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 y x) t) |
(+.f64 y x) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(- y z) |
(- (+ x y) z) |
(* y (- 1 (/ z y))) |
(+ x (* y (- 1 (/ z y)))) |
(* 1/2 (/ x t)) |
(/ x t) |
(* 1/2 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/ y t) |
(+ (/ x t) (/ y t)) |
y |
(+ x y) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (/ (* y (- 1 (/ z y))) x))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- 1 (/ z y))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(- x z) |
(+ x (* -1 z)) |
(+ x (+ y (* -1 z))) |
(* -1 (/ z y)) |
(/ (- y z) y) |
(* -1 z) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
1 |
(+ 1 (* -1 (/ z y))) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 z)) y)) 1))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
(+ y (* -1 z)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ 1 z) (/ 1 y))) |
(* z (- (/ y z) 1)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ -1/2 t) |
(/ (+ x y) t) |
(* 2 t) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 60.0ms | t | @ | -inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- 1 (/ z y)) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (+ y x) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z) (* t 2)) |
| 4.0ms | z | @ | -inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- 1 (/ z y)) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (+ y x) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z) (* t 2)) |
| 3.0ms | x | @ | 0 | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- 1 (/ z y)) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (+ y x) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z) (* t 2)) |
| 2.0ms | t | @ | 0 | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- 1 (/ z y)) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (+ y x) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z) (* t 2)) |
| 2.0ms | t | @ | inf | ((/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- 1 (/ z y)) (/ (- (+ x y) z) (* t 2)) (* (/ -1/2 t) z) (/ -1/2 t) (/ (- (+ x y) z) (* t 2)) (* (/ x t) 1/2) (/ x t) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (+ y x) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- y z) (* t 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 171 | 494 |
| 1 | 525 | 484 |
| 2 | 1552 | 474 |
| 3 | 5098 | 460 |
| 0 | 8277 | 448 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(- y z) |
(- (+ x y) z) |
(* y (- 1 (/ z y))) |
(+ x (* y (- 1 (/ z y)))) |
(* 1/2 (/ x t)) |
(/ x t) |
(* 1/2 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/ y t) |
(+ (/ x t) (/ y t)) |
y |
(+ x y) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (/ (* y (- 1 (/ z y))) x))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- 1 (/ z y))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(- x z) |
(+ x (* -1 z)) |
(+ x (+ y (* -1 z))) |
(* -1 (/ z y)) |
(/ (- y z) y) |
(* -1 z) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
1 |
(+ 1 (* -1 (/ z y))) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 z)) y)) 1))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
(+ y (* -1 z)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ 1 z) (/ 1 y))) |
(* z (- (/ y z) 1)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ -1/2 t) |
(/ (+ x y) t) |
(* 2 t) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(-.f64 (+.f64 y x) z) |
(* y (- 1 (/ z y))) |
(-.f64 y z) |
(+ x (* y (- 1 (/ z y)))) |
(-.f64 (+.f64 y x) z) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(/ x t) |
(/.f64 x t) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(/ y t) |
(/.f64 y t) |
(+ (/ x t) (/ y t)) |
(/.f64 (+.f64 y x) t) |
y |
(+ x y) |
(+.f64 y x) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) t) x) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
(* x (+ 1 (/ (* y (- 1 (/ z y))) x))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) t) x) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(/.f64 (fma.f64 (/.f64 y x) x x) t) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) t) x) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 z y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (* y (- 1 (/ z y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 z y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) t) x) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (neg.f64 y) t) x) (/.f64 #s(literal 1 binary64) t))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(* 1/2 (/ (- x z) t)) |
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(- x z) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 y x) z) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(/ (- y z) y) |
(/.f64 (-.f64 y z) y) |
(* -1 z) |
(neg.f64 z) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) t) y) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(-.f64 (+.f64 y x) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(/.f64 (+.f64 y x) t) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) t) y) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 z x) y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 z)) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 z x) y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 x) t) y) (/.f64 #s(literal 1 binary64) t))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(* -1 (* y (- (/ z y) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 z y) #s(literal 1 binary64))) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/2 binary64)) t) z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(*.f64 (-.f64 (/.f64 (+.f64 y x) z) #s(literal 1 binary64)) z) |
(* z (- (/ 1 z) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) z) |
(* z (- (/ y z) 1)) |
(*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/2 binary64)) t) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(fma.f64 (/.f64 (+.f64 y x) z) z (neg.f64 z)) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(fma.f64 (/.f64 y z) z (neg.f64 z)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(/ -1/2 t) |
(/.f64 #s(literal -1/2 binary64) t) |
(/ (+ x y) t) |
(/.f64 (+.f64 y x) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 151 |
| 0 | 46 | 151 |
| 1 | 158 | 151 |
| 2 | 1027 | 151 |
| 0 | 8226 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 #s(literal -1/2 binary64) t) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(/.f64 x t) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 y x) t) |
(+.f64 y x) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) #s(literal 2 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x))))) (*.f64 #s(literal -2 binary64) t)) |
(/.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) #s(literal 2 binary64)) t) |
(/.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (neg.f64 t)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)))) (*.f64 #s(literal 2 binary64) t)) |
(/.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) t) #s(literal 2 binary64)) |
(/.f64 (neg.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x))) (*.f64 #s(literal -2 binary64) t)) |
(/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 #s(literal 2 binary64) t)) |
(neg.f64 (/.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) t) #s(literal -2 binary64))) |
(neg.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 #s(literal -2 binary64) t))) |
#s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 z y))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y)) (fma.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 z z) (+.f64 z y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 z z))) (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 z (+.f64 z y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 z z))) (*.f64 (+.f64 z y) (+.f64 z y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (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 z (+.f64 z y) (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (+.f64 z y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (*.f64 y y))) |
(neg.f64 (neg.f64 (-.f64 y z))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(-.f64 y z) |
(+.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z y))) |
(*.f64 #s(literal -2 binary64) (neg.f64 t)) |
(*.f64 (neg.f64 (neg.f64 t)) #s(literal 2 binary64)) |
(*.f64 (neg.f64 t) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 t))) |
(*.f64 #s(literal 2 binary64) t) |
(*.f64 t #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 t t) (*.f64 t t)) (-.f64 t t)) |
(/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (*.f64 t t) (*.f64 t t)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) t)) |
(+.f64 t t) |
Compiled 10 176 to 1 411 computations (86.1% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 323 | 4 | 327 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 328 | 7 | 335 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.6% | (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (+.f64 t t)) |
| ▶ | 68.7% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (+.f64 t t)) |
| ▶ | 69.8% | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
| ▶ | 36.8% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
| ✓ | 70.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
| ✓ | 39.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
| ▶ | 38.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
Compiled 192 to 153 computations (20.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 t #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (-.f64 x z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) | |
| cost-diff | 0 | (+.f64 t t) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (-.f64 y z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (+.f64 t t)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) z) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | #s(approx (/ (+ y x) t) (/.f64 y t)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 z y)) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (+.f64 t t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 192 |
| 0 | 49 | 192 |
| 1 | 74 | 192 |
| 2 | 113 | 192 |
| 3 | 157 | 192 |
| 4 | 190 | 192 |
| 5 | 215 | 192 |
| 6 | 236 | 192 |
| 7 | 260 | 192 |
| 8 | 275 | 192 |
| 9 | 392 | 192 |
| 10 | 635 | 192 |
| 11 | 852 | 192 |
| 12 | 1078 | 192 |
| 13 | 1082 | 192 |
| 14 | 1084 | 192 |
| 0 | 1084 | 192 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (+.f64 t t)) |
#s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
#s(literal 1 binary64) |
(/.f64 z y) |
z |
y |
x |
(+.f64 t t) |
t |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ y x) t) (/.f64 y t)) |
(/.f64 y t) |
y |
t |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
t |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (+.f64 t t)) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
y |
z |
(+.f64 t t) |
t |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
(*.f64 t #s(literal 2 binary64)) |
t |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 #s(literal 2 binary64) t)) |
#s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
#s(literal 1 binary64) |
(/.f64 z y) |
z |
y |
x |
(+.f64 t t) |
(*.f64 #s(literal 2 binary64) t) |
t |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t)))) |
(*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (/ (+ y x) t) (/.f64 y t))) |
#s(approx (/ (+ y x) t) (/.f64 y t)) |
(/.f64 y t) |
y |
t |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
t |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 #s(literal 2 binary64) t)) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
y |
z |
(+.f64 t t) |
(*.f64 #s(literal 2 binary64) t) |
t |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) t)) |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
(*.f64 t #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) t) |
t |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x z) | |
| accuracy | 0.0 | (*.f64 t #s(literal 2 binary64)) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) | |
| accuracy | 20.0533501928503 | #s(approx (- (+ x y) z) (-.f64 x z)) | |
| accuracy | 0.0 | (-.f64 y z) | |
| accuracy | 0.0 | (+.f64 t t) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (+.f64 t t)) | |
| accuracy | 21.678762762883224 | #s(approx (- (+ x y) z) (-.f64 y z)) | |
| accuracy | 0.0 | (/.f64 (*.f64 #s(literal -1/2 binary64) z) t) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) z) | |
| accuracy | 40.479417936176894 | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) | |
| accuracy | 0.0 | (/.f64 y t) | |
| accuracy | 0.0 | (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)) | |
| accuracy | 19.211129890622768 | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) | |
| accuracy | 28.376982144675516 | #s(approx (/ (+ y x) t) (/.f64 y t)) | |
| accuracy | 0.0 | (+.f64 t t) | |
| accuracy | 0.0 | #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (+.f64 t t)) | |
| accuracy | 8.302640119344275 | (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x) |
| 47.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 135 to 28 computations (79.3% saved)
ival-div: 12.0ms (39.7% of total)ival-mult: 9.0ms (29.8% of total)ival-add: 5.0ms (16.5% of total)ival-sub: 5.0ms (16.5% 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 |
|---|
(/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (+.f64 t t)) |
#s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ y x) t) (/.f64 y t)) |
(/.f64 y t) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(*.f64 #s(literal -1/2 binary64) z) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (+.f64 t t)) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
(+.f64 t t) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(- y z) |
(- (+ x y) z) |
(* y (- 1 (/ z y))) |
(+ x (* y (- 1 (/ z y)))) |
(* 1/2 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/ y t) |
(+ (/ x t) (/ y t)) |
(* -1 z) |
(- x z) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (/ (* y (- 1 (/ z y))) x))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(/ x t) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- 1 (/ z y))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(* -1 (* x (- (/ z x) 1))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ x (* -1 z)) |
(+ x (+ y (* -1 z))) |
(* -1 (/ z y)) |
(/ (- y z) y) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
1 |
(+ 1 (* -1 (/ z y))) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 z)) y)) 1))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(* -1 (* y (- (/ z y) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ x y) |
(* -1/2 (/ z t)) |
(* -1/2 z) |
(+ y (* -1 z)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ 1 z) (/ 1 y))) |
(* z (- (/ y z) 1)) |
(* z (- (/ x z) 1)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ (+ x y) t) |
(* 2 t) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | -inf | ((/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- 1 (/ z y)) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (- y z) (+ t t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2)) |
| 2.0ms | t | @ | -inf | ((/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- 1 (/ z y)) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (- y z) (+ t t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2)) |
| 2.0ms | t | @ | inf | ((/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- 1 (/ z y)) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (- y z) (+ t t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2)) |
| 2.0ms | t | @ | 0 | ((/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- 1 (/ z y)) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (- y z) (+ t t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2)) |
| 1.0ms | y | @ | -inf | ((/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- 1 (/ z y)) (/ (- (+ x y) z) (* t 2)) (* (/ (+ y x) t) 1/2) (/ (+ y x) t) (/ y t) (/ (- (+ x y) z) (* t 2)) (/ (* -1/2 z) t) (* -1/2 z) (/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (- y z) (+ t t) (/ (- (+ x y) z) (* t 2)) (- (+ x y) z) (- x z) (* t 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 502 |
| 1 | 533 | 490 |
| 2 | 1606 | 479 |
| 3 | 5206 | 465 |
| 0 | 8430 | 453 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(- y z) |
(- (+ x y) z) |
(* y (- 1 (/ z y))) |
(+ x (* y (- 1 (/ z y)))) |
(* 1/2 (/ y t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(/ y t) |
(+ (/ x t) (/ y t)) |
(* -1 z) |
(- x z) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (/ (* y (- 1 (/ z y))) x))) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(/ x t) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- 1 (/ z y))) x)) 1))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(* -1 (* x (- (/ z x) 1))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ x (* -1 z)) |
(+ x (+ y (* -1 z))) |
(* -1 (/ z y)) |
(/ (- y z) y) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
1 |
(+ 1 (* -1 (/ z y))) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 z)) y)) 1))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(* -1 (* y (- (/ z y) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(+ x y) |
(* -1/2 (/ z t)) |
(* -1/2 z) |
(+ y (* -1 z)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ 1 z) (/ 1 y))) |
(* z (- (/ y z) 1)) |
(* z (- (/ x z) 1)) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(/ (+ x y) t) |
(* 2 t) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(-.f64 (+.f64 y x) z) |
(* y (- 1 (/ z y))) |
(-.f64 y z) |
(+ x (* y (- 1 (/ z y)))) |
(-.f64 (+.f64 y x) z) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 y t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ y t))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(/ y t) |
(/.f64 y t) |
(+ (/ x t) (/ y t)) |
(/.f64 (+.f64 y x) t) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) t) x) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
(* x (+ 1 (/ (* y (- 1 (/ z y))) x))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
(* x (+ (* 1/2 (/ y (* t x))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) t) x) |
(/ x t) |
(/.f64 x t) |
(* x (+ (/ 1 t) (/ y (* t x)))) |
(/.f64 (fma.f64 (/.f64 y x) x x) t) |
(* x (+ 1 (* -1 (/ z x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) t) x) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 z y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (* y (- 1 (/ z y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 z y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1/2 (/ y (* t x))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #s(literal 1/2 binary64)) t) x) |
(* -1 (* x (- (* -1 (/ y (* t x))) (/ 1 t)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (neg.f64 y) x) t) (/.f64 #s(literal 1 binary64) t))) |
(* -1 (* x (- (/ z x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z x) #s(literal 1 binary64))) |
(* 1/2 (/ (- x z) t)) |
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 y x) z) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(/ (- y z) y) |
(/.f64 (-.f64 y z) y) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) t) y) |
y |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(fma.f64 (/.f64 x y) y (-.f64 y z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ z y))) |
(/.f64 (-.f64 y z) y) |
(* y (+ (* 1/2 (/ x (* t y))) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(* y (+ (/ 1 t) (/ x (* t y)))) |
(/.f64 (+.f64 y x) t) |
(* y (+ 1 (* -1 (/ z y)))) |
(-.f64 y z) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) t) y) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 z x) y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 z)) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 z x) y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1/2 (/ x (* t y))) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1 (/ x (* t y))) (/ 1 t)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 x) y) t) (/.f64 #s(literal 1 binary64) t))) |
(* -1 (* y (- (/ z y) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 z y) #s(literal 1 binary64))) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(+ x y) |
(+.f64 y x) |
(* -1/2 (/ z t)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 z t)) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(+ y (* -1 z)) |
(-.f64 y z) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/2 binary64)) t) z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(*.f64 (-.f64 (/.f64 (+.f64 y x) z) #s(literal 1 binary64)) z) |
(* z (- (/ 1 z) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) z) |
(* z (- (/ y z) 1)) |
(*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z) |
(* z (- (/ x z) 1)) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/2 binary64)) t) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(fma.f64 (/.f64 (+.f64 y x) z) z (neg.f64 z)) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(fma.f64 (/.f64 y z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) z (neg.f64 z)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(/ (+ x y) t) |
(/.f64 (+.f64 y x) t) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 168 |
| 0 | 49 | 168 |
| 1 | 176 | 168 |
| 2 | 1196 | 168 |
| 0 | 8138 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (+.f64 t t)) |
#s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ y x) t) (/.f64 y t)) |
(/.f64 y t) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) z) t) |
(*.f64 #s(literal -1/2 binary64) z) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (+.f64 t t)) |
#s(approx (- (+ x y) z) (-.f64 y z)) |
(-.f64 y z) |
(+.f64 t t) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (- (+ x y) z) (-.f64 x z)) |
(-.f64 x z) |
(*.f64 t #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(*.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 #s(literal -2 binary64) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t t #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(*.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 #s(literal -2 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t t #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 #s(literal -2 binary64) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t t #s(literal 0 binary64))) |
(/.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) #s(literal 2 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) t)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x))))) (*.f64 #s(literal -2 binary64) t)) |
(/.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) #s(literal 2 binary64)) t) |
(/.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) t) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)))) (*.f64 #s(literal -2 binary64) t)) |
(/.f64 (neg.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x))) (*.f64 #s(literal -2 binary64) t)) |
(/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 #s(literal -2 binary64) t)) |
(neg.f64 (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 #s(literal -2 binary64) t))) |
#s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) #s(literal 2 binary64)))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 t t) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 t t))) #s(literal 0 binary64)) |
(/.f64 (fma.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t t #s(literal 0 binary64)) (*.f64 (fma.f64 t t #s(literal 0 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 t t #s(literal 0 binary64)))) |
(/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 t) (neg.f64 t))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 t #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 t t #s(literal 0 binary64))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 t #s(literal 3 binary64))) (neg.f64 (fma.f64 t t #s(literal 0 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t #s(literal 0 binary64))) |
(neg.f64 (*.f64 #s(literal -2 binary64) t)) |
(-.f64 (/.f64 (*.f64 t t) #s(literal 0 binary64)) (/.f64 (*.f64 t t) #s(literal 0 binary64))) |
(+.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (neg.f64 (fma.f64 t t #s(literal 0 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (neg.f64 (fma.f64 t t #s(literal 0 binary64))))) |
(+.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t t #s(literal 0 binary64))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t t #s(literal 0 binary64)))) |
(+.f64 (neg.f64 t) (neg.f64 t)) |
(+.f64 t t) |
Compiled 7 826 to 974 computations (87.6% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 254 | 3 | 257 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 1 | 2 |
| Total | 256 | 8 | 264 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.6% | (/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (+.f64 t t)) |
| ▶ | 59.4% | (/.f64 #s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) (+.f64 t t)) |
| ✓ | 68.7% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (+.f64 t t)) |
| ▶ | 70.0% | (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (+.f64 t t)) |
| ▶ | 69.8% | (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) |
| ✓ | 36.8% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
| ✓ | 39.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
| ✓ | 38.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
Compiled 141 to 107 computations (24.1% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) (+.f64 t t)) | |
| cost-diff | 0 | (+.f64 t t) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) (+.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (+.f64 t t)) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z)) | |
| cost-diff | 0 | #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 173 |
| 0 | 35 | 173 |
| 1 | 47 | 173 |
| 2 | 69 | 173 |
| 3 | 95 | 173 |
| 4 | 120 | 173 |
| 5 | 123 | 173 |
| 6 | 126 | 173 |
| 7 | 129 | 173 |
| 0 | 129 | 170 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) |
#s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) |
#s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
(+.f64 t t) |
t |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (+.f64 t t)) |
#s(approx (- (+ x y) z) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(+.f64 t t) |
t |
(/.f64 #s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) (+.f64 t t)) |
#s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) |
(fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x) |
#s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
x |
(+.f64 t t) |
t |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (*.f64 #s(literal 2 binary64) t)) |
#s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) |
#s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z)) |
(-.f64 x z) |
x |
z |
(+.f64 t t) |
(*.f64 #s(literal 2 binary64) t) |
t |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (*.f64 #s(literal 2 binary64) t)) |
#s(approx (- (+ x y) z) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(+.f64 t t) |
(*.f64 #s(literal 2 binary64) t) |
t |
(/.f64 #s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) (*.f64 #s(literal 2 binary64) t)) |
#s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) |
(fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x) |
#s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
x |
(+.f64 t t) |
(*.f64 #s(literal 2 binary64) t) |
t |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) (+.f64 t t)) | |
| accuracy | 8.302640119344275 | (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x) | |
| accuracy | 31.531392735227605 | #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 0.0 | (+.f64 t t) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (+.f64 t t)) | |
| accuracy | 21.659960008234194 | #s(approx (- (+ x y) z) (+.f64 y x)) | |
| accuracy | 0.0 | (+.f64 t t) | |
| accuracy | 0.0 | #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) | |
| accuracy | 20.0533501928503 | #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z)) |
| 98.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 98 to 19 computations (80.6% saved)
ival-sub: 6.0ms (30.1% of total)ival-div: 5.0ms (25.1% of total)ival-add: 5.0ms (25.1% of total)ival-mult: 2.0ms (10% of total)ival-neg: 1.0ms (5% 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 |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) |
#s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) |
#s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z)) |
(-.f64 x z) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (+.f64 t t)) |
#s(approx (- (+ x y) z) (+.f64 y x)) |
(+.f64 y x) |
(+.f64 t t) |
(/.f64 #s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) (+.f64 t t)) |
#s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) |
(fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x) |
#s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(- y z) |
(- (+ x y) z) |
(* y (- 1 (/ z y))) |
(+ x (* y (- 1 (/ z y)))) |
(* -1 z) |
(- x z) |
y |
(+ x y) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (/ (* y (- 1 (/ z y))) x))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- 1 (/ z y))) x)) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ x (* -1 z)) |
(+ x (+ y (* -1 z))) |
(* -1 (/ z y)) |
(/ (- y z) y) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (+ 1 (/ x y))) |
1 |
(+ 1 (* -1 (/ z y))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 z)) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ 1 z) (/ 1 y))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 2 t) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- x z) (/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ y x) (+ t t) (/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- 1 (/ z y))) |
| 1.0ms | z | @ | inf | ((/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- x z) (/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ y x) (+ t t) (/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- 1 (/ z y))) |
| 1.0ms | z | @ | -inf | ((/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- x z) (/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ y x) (+ t t) (/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- 1 (/ z y))) |
| 1.0ms | x | @ | -inf | ((/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- x z) (/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ y x) (+ t t) (/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- 1 (/ z y))) |
| 1.0ms | x | @ | inf | ((/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- x z) (/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ y x) (+ t t) (/ (- (+ x y) z) (+ t t)) (- (+ x y) z) (+ (* (- 1 (/ z y)) y) x) (- 1 (/ z y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 398 |
| 1 | 427 | 388 |
| 2 | 1224 | 385 |
| 3 | 3905 | 372 |
| 0 | 8153 | 361 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- y z) t)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(- y z) |
(- (+ x y) z) |
(* y (- 1 (/ z y))) |
(+ x (* y (- 1 (/ z y)))) |
(* -1 z) |
(- x z) |
y |
(+ x y) |
(* 1/2 (/ x t)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(* x (+ 1 (/ (* y (- 1 (/ z y))) x))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- 1 (/ z y))) x)) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 1/2 (/ (- x z) t)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(+ x (* -1 z)) |
(+ x (+ y (* -1 z))) |
(* -1 (/ z y)) |
(/ (- y z) y) |
(* 1/2 (/ y t)) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(* y (+ 1 (/ x y))) |
1 |
(+ 1 (* -1 (/ z y))) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 z)) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 1/2 (/ (+ x y) t)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(* -1/2 (/ z t)) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ 1 z) (/ 1 y))) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(* 1/2 (/ (- (+ x y) z) t)) |
(* 2 t) |
| Outputs |
|---|
(* 1/2 (/ (- y z) t)) |
(*.f64 (/.f64 (-.f64 y z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ x t)) (* 1/2 (/ (- y z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(- y z) |
(-.f64 y z) |
(- (+ x y) z) |
(-.f64 (+.f64 y x) z) |
(* y (- 1 (/ z y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y) |
(+ x (* y (- 1 (/ z y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
y |
(+ x y) |
(+.f64 y x) |
(* 1/2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) t) x) |
x |
(* x (- (+ 1 (/ y x)) (/ z x))) |
(fma.f64 (/.f64 (-.f64 y z) x) x x) |
(* x (+ 1 (/ (* y (- 1 (/ z y))) x))) |
(*.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ z x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1/2 (/ (- (/ y t) (/ z t)) x)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y z) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) t) x) |
(* -1 (* x (- (* -1 (/ (- y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 z y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (* y (- 1 (/ z y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 z y) y) x) y) #s(literal 1 binary64))) |
(* -1 (* x (- (/ z x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(* 1/2 (/ (- x z) t)) |
(*.f64 (/.f64 (-.f64 x z) t) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ y t)) (* 1/2 (/ (- x z) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (+ y (* -1 z))) |
(-.f64 (+.f64 y x) z) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(/ (- y z) y) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
(* 1/2 (/ y t)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) t) y) |
(* y (+ (* 1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) t) y) |
(* y (- (+ 1 (/ x y)) (/ z y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
(* -1 (* y (- (* -1/2 (/ (- (/ x t) (/ z t)) y)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 x z) (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) t) y) |
(* -1 (* y (- (* -1 (/ (- x z) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 z x) y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ (+ x (* -1 z)) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 z x) y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* 1/2 (/ (+ x y) t)) |
(*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ z t)) (* 1/2 (/ (+ x y) t))) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* -1/2 (/ z t)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) z) |
(* z (- (* 1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t)))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/2 binary64)) t) z) |
(* z (- (+ (/ x z) (/ y z)) 1)) |
(*.f64 (-.f64 (/.f64 (+.f64 y x) z) #s(literal 1 binary64)) z) |
(* z (- (/ x z) 1)) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(* z (- (/ 1 z) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) z) |
(* -1 (* z (+ (* -1/2 (/ (+ (/ x t) (/ y t)) z)) (* 1/2 (/ 1 t))))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) z) #s(literal -1/2 binary64)) t) z) |
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z))))) |
(*.f64 (-.f64 (/.f64 (+.f64 y x) z) #s(literal 1 binary64)) z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(* -1 (* z (- (/ 1 y) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) |
(* 1/2 (/ (- (+ x y) z) t)) |
(*.f64 (/.f64 (-.f64 (+.f64 y x) z) t) #s(literal 1/2 binary64)) |
(* 2 t) |
(*.f64 #s(literal 2 binary64) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 151 |
| 0 | 35 | 151 |
| 1 | 140 | 151 |
| 2 | 1053 | 143 |
| 0 | 8322 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) |
#s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) |
#s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z)) |
(-.f64 x z) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (+.f64 t t)) |
#s(approx (- (+ x y) z) (+.f64 y x)) |
(+.f64 y x) |
(+.f64 t t) |
(/.f64 #s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) (+.f64 t t)) |
#s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) |
(fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x) |
#s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (fma.f64 t t #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 2 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 2 binary64))) t) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z)))))) #s(literal 0 binary64)) |
(/.f64 (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 2 binary64)) (neg.f64 t)) |
(/.f64 (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 2 binary64)) t) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))))) #s(literal 0 binary64)) |
(/.f64 (neg.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z)))) #s(literal 0 binary64)) |
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
(neg.f64 (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (fma.f64 t t #s(literal 0 binary64)) (*.f64 (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (*.f64 t t))) |
(fma.f64 (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) #s(literal 0 binary64) (*.f64 (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (*.f64 t t))) |
(fma.f64 (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (*.f64 t t) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (*.f64 (*.f64 t t) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 t t) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64))) (*.f64 (*.f64 t t) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (*.f64 t t) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (*.f64 t t)) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64))) |
(+.f64 (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (*.f64 t t))) |
#s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) |
#s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z)) |
(/.f64 (-.f64 (*.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 z z) (+.f64 z x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x)) (fma.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 z z) (+.f64 z x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))) (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 z (+.f64 z x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 z z))) (*.f64 (+.f64 z x) (+.f64 z x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (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 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (+.f64 z x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z x) (*.f64 x x))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (+.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 z (+.f64 z x) (*.f64 x x)))) |
(neg.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (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 z (+.f64 z x) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(-.f64 x z) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z x))) |
(*.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) (fma.f64 t t #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 2 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 2 binary64))) t) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (+ x y) z) (+.f64 y x))))) #s(literal 0 binary64)) |
(/.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 2 binary64)) (neg.f64 t)) |
(/.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 2 binary64)) t) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (+ x y) z) (+.f64 y x)))) #s(literal 0 binary64)) |
(/.f64 (neg.f64 #s(approx (- (+ x y) z) (+.f64 y x))) #s(literal 0 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) |
(neg.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) (fma.f64 t t #s(literal 0 binary64)) (*.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) (*.f64 t t))) |
(fma.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) #s(literal 0 binary64) (*.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) (*.f64 t t))) |
(fma.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) (*.f64 t t) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) (*.f64 (*.f64 t t) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 t t) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64))) (*.f64 (*.f64 t t) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (*.f64 t t) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) (*.f64 t t)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64))) |
(+.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) (*.f64 t t))) |
#s(approx (- (+ x y) z) (+.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 (*.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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (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)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (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)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.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 (-.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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (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)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (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)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (neg.f64 (neg.f64 (-.f64 y x)))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) (-.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y)) (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) x))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y)) (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (-.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) x)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y)) (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 2 binary64)))))) |
(fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x) |
(fma.f64 y #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) x))) |
(-.f64 x (*.f64 (neg.f64 y) #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) (-.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) (-.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) (-.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) x)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) (-.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y)) (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y)) (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y)) (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y)) (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) x))) |
(+.f64 (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)))) y)) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)))) |
(+.f64 x (*.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y)) |
#s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) |
Compiled 7 840 to 778 computations (90.1% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 192 | 3 | 195 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 1 | 4 | 5 |
| Total | 193 | 10 | 203 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 59.4% | (/.f64 #s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) (+.f64 t t)) |
| ✓ | 68.7% | (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (+.f64 t t)) |
| ✓ | 70.0% | (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (+.f64 t t)) |
| 25.3% | (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) | |
| ✓ | 69.8% | (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) |
| 23.3% | (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) | |
| 60.0% | (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y))) (+.f64 t t)) | |
| ✓ | 36.8% | #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
| ✓ | 39.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
| ✓ | 38.0% | #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
Compiled 494 to 217 computations (56.1% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y))) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (fma.f64 #s(approx (- 1 (/ z y)) (/.f64 (neg.f64 z) y)) y x)) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y x)) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
8 calls:
| 64.0ms | (+.f64 x y) |
| 10.0ms | (-.f64 (+.f64 x y) z) |
| 7.0ms | y |
| 6.0ms | (*.f64 t #s(literal 2 binary64)) |
| 6.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | t |
| 100.0% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 100.0% | 1 | (-.f64 (+.f64 x y) z) |
| 100.0% | 1 | (+.f64 x y) |
| 100.0% | 1 | (*.f64 t #s(literal 2 binary64)) |
Compiled 24 to 42 computations (-75% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (neg.f64 z)) (*.f64 t #s(literal 2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 (+.f64 y x) t) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 x z)) (*.f64 t #s(literal 2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (*.f64 t #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (+.f64 t t)) |
8 calls:
| 6.0ms | (-.f64 (+.f64 x y) z) |
| 5.0ms | (*.f64 t #s(literal 2 binary64)) |
| 5.0ms | z |
| 5.0ms | x |
| 5.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 2 | x |
| 93.1% | 2 | y |
| 92.5% | 3 | z |
| 78.2% | 4 | t |
| 99.6% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 99.6% | 2 | (-.f64 (+.f64 x y) z) |
| 99.6% | 2 | (+.f64 x y) |
| 78.2% | 4 | (*.f64 t #s(literal 2 binary64)) |
Compiled 24 to 42 computations (-75% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (+.f64 t t)) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (+.f64 t t)) |
6 calls:
| 4.0ms | z |
| 4.0ms | (+.f64 x y) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (-.f64 (+.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 3 | z |
| 90.0% | 2 | y |
| 80.3% | 2 | x |
| 87.4% | 3 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 85.3% | 2 | (-.f64 (+.f64 x y) z) |
| 90.0% | 2 | (+.f64 x y) |
Compiled 20 to 32 computations (-60% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
2 calls:
| 6.0ms | (+.f64 x y) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 2 | y |
| 89.6% | 2 | (+.f64 x y) |
Compiled 4 to 9 computations (-125% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
6 calls:
| 3.0ms | (+.f64 x y) |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | (-.f64 (+.f64 x y) z) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.9% | 3 | x |
| 70.2% | 2 | (-.f64 (+.f64 x y) z) |
| 75.8% | 4 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 68.9% | 3 | y |
| 63.3% | 4 | z |
| 79.9% | 3 | (+.f64 x y) |
Compiled 20 to 32 computations (-60% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
1 calls:
| 3.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 3 | (+.f64 x y) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) y)) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
7 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 t #s(literal 2 binary64)) |
| 2.0ms | (-.f64 (+.f64 x y) z) |
| 2.0ms | (+.f64 x y) |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.0% | 3 | y |
| 55.0% | 3 | x |
| 54.8% | 3 | (-.f64 (+.f64 x y) z) |
| 62.0% | 4 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 49.1% | 4 | t |
| 49.1% | 4 | (*.f64 t #s(literal 2 binary64)) |
| 64.1% | 3 | (+.f64 x y) |
Compiled 23 to 38 computations (-65.2% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
#s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) |
6 calls:
| 5.0ms | y |
| 2.0ms | (-.f64 (+.f64 x y) z) |
| 2.0ms | z |
| 2.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.7% | 2 | (-.f64 (+.f64 x y) z) |
| 45.5% | 2 | x |
| 44.2% | 2 | y |
| 51.7% | 3 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| 44.5% | 3 | z |
| 47.5% | 2 | (+.f64 x y) |
Compiled 20 to 32 computations (-60% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
(/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)) |
8 calls:
| 2.0ms | z |
| 1.0ms | (*.f64 t #s(literal 2 binary64)) |
| 1.0ms | (-.f64 (+.f64 x y) z) |
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.3% | 1 | z |
| 27.8% | 2 | y |
| 25.3% | 1 | x |
| 25.3% | 1 | t |
| 25.3% | 1 | (*.f64 t #s(literal 2 binary64)) |
| 27.8% | 2 | (+.f64 x y) |
| 28.0% | 2 | (-.f64 (+.f64 x y) z) |
| 28.0% | 2 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
Compiled 24 to 42 computations (-75% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
8 calls:
| 5.0ms | (+.f64 x y) |
| 1.0ms | (-.f64 (+.f64 x y) z) |
| 1.0ms | (*.f64 t #s(literal 2 binary64)) |
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 23.3% | 1 | z |
| 23.3% | 1 | x |
| 23.3% | 1 | t |
| 23.3% | 1 | (*.f64 t #s(literal 2 binary64)) |
| 23.3% | 1 | y |
| 23.3% | 1 | (+.f64 x y) |
| 23.3% | 1 | (-.f64 (+.f64 x y) z) |
| 23.3% | 1 | (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
Compiled 24 to 42 computations (-75% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.3739178228185936e-275 | 2.1230446436283907e-259 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5152414447837516e+94 | 6.39903267842503e+94 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5152414447837516e+94 | 6.39903267842503e+94 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.9421624641730135e+62 | 7.397072942582088e+66 |
| 0.0ms | -1.368256538059787e+34 | -1.1422560854024834e+32 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.9421624641730135e+62 | 7.397072942582088e+66 |
| 0.0ms | -1.368256538059787e+34 | -1.1422560854024834e+32 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.9421624641730135e+62 | 7.397072942582088e+66 |
| 0.0ms | -4.286293219078717e+109 | -2.3011009046278823e+106 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.309835224602664e+304 | +inf |
| 0.0ms | -7.493439009259046e+43 | -8.19985982109403e+41 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2388188344315664e-85 | 8.278834698222858e-83 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 480 |
| 1 | 96 | 480 |
| 2 | 129 | 480 |
| 3 | 173 | 480 |
| 4 | 206 | 480 |
| 5 | 233 | 480 |
| 6 | 256 | 480 |
| 7 | 281 | 480 |
| 8 | 308 | 480 |
| 9 | 386 | 480 |
| 10 | 560 | 480 |
| 11 | 669 | 480 |
| 12 | 858 | 480 |
| 13 | 862 | 480 |
| 14 | 864 | 480 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(if (<=.f64 (+.f64 x y) #s(literal -6237000967295999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616 binary64)) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (+.f64 t t))) |
(if (<=.f64 (+.f64 x y) #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (+.f64 t t))) |
(if (<=.f64 (+.f64 x y) #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal -9999999999999999455752309870428160 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 500000000000000028928979971363484913696689344587520219086323712 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (+.f64 x y) #s(literal -9999999999999999455752309870428160 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 500000000000000028928979971363484913696689344587520219086323712 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (+.f64 x y) #s(literal -39999999999999999274034828753599231458870603857312684991833593479596290217520213192823213697572550705053433856 binary64)) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (if (<=.f64 (+.f64 x y) #s(literal 500000000000000028928979971363484913696689344587520219086323712 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #s(literal -50000000000000004410680702653211320350932992 binary64)) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (if (<=.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #s(literal 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64))) |
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) |
(if (<=.f64 (+.f64 x y) #s(literal -6237000967295999/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616 binary64)) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) (/.f64 #s(approx (- (+ x y) z) (-.f64 y z)) (+.f64 t t))) |
(if (<=.f64 (+.f64 x y) #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) (+.f64 t t))) |
(if (<=.f64 (+.f64 x y) #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) (+.f64 t t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64)))) |
(if (<=.f64 (+.f64 x y) #s(literal -9999999999999999455752309870428160 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 500000000000000028928979971363484913696689344587520219086323712 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) t)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (+.f64 x y) #s(literal -9999999999999999455752309870428160 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 x t) #s(literal 1/2 binary64))) (if (<=.f64 (+.f64 x y) #s(literal 500000000000000028928979971363484913696689344587520219086323712 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (+.f64 x y) #s(literal -39999999999999999274034828753599231458870603857312684991833593479596290217520213192823213697572550705053433856 binary64)) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (if (<=.f64 (+.f64 x y) #s(literal 500000000000000028928979971363484913696689344587520219086323712 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) t) z)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #s(literal -50000000000000004410680702653211320350932992 binary64)) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (if (<=.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) #s(approx (/ (- (+ x y) z) (* t 2)) (*.f64 #s(approx (/ (+ y x) t) (/.f64 y t)) #s(literal 1/2 binary64))) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t #s(literal 2 binary64))) #s(literal 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) (/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) (/.f64 #s(approx (- (+ x y) z) (+.f64 y x)) #s(literal 0 binary64))) |
(/.f64 #s(approx (- (+ x y) z) #s(approx (+ (* (- 1 (/ z y)) y) x) (-.f64 x z))) #s(literal 0 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 151 |
| 0 | 46 | 151 |
| 1 | 158 | 151 |
| 2 | 1027 | 151 |
| 0 | 8226 | 151 |
| 0 | 25 | 151 |
| 0 | 35 | 151 |
| 1 | 140 | 151 |
| 2 | 1053 | 143 |
| 0 | 8322 | 140 |
| 0 | 171 | 494 |
| 1 | 525 | 484 |
| 2 | 1552 | 474 |
| 3 | 5098 | 460 |
| 0 | 8277 | 448 |
| 0 | 173 | 502 |
| 1 | 533 | 490 |
| 2 | 1606 | 479 |
| 3 | 5206 | 465 |
| 0 | 8430 | 453 |
| 0 | 103 | 246 |
| 1 | 313 | 226 |
| 2 | 902 | 226 |
| 3 | 3088 | 224 |
| 0 | 8475 | 222 |
| 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 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 207 to 609 computations (49.5% saved)
(sort x y)
(negabs t)
Compiled 1 050 to 244 computations (76.8% saved)
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