
Time bar (total: 5.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 12 computations (7.7% saved)
| 511.0ms | 8 256× | 0 | valid |
ival-mult: 107.0ms (37.2% of total)ival-sub: 86.0ms (29.9% of total)ival-div: 78.0ms (27.1% of total)exact: 8.0ms (2.8% of total)ival-true: 6.0ms (2.1% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) |
| 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 |
| 53.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 3 | valid |
Compiled 129 to 44 computations (65.9% saved)
ival-mult: 17.0ms (62.6% of total)ival-sub: 5.0ms (18.4% of total)ival-div: 3.0ms (11% 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 | 39 | 109 |
| 1 | 96 | 103 |
| 2 | 292 | 103 |
| 3 | 783 | 85 |
| 4 | 1964 | 85 |
| 5 | 2887 | 85 |
| 6 | 4022 | 85 |
| 7 | 5175 | 85 |
| 8 | 6249 | 85 |
| 9 | 7319 | 85 |
| 0 | 10 | 11 |
| 0 | 15 | 11 |
| 1 | 24 | 11 |
| 2 | 54 | 11 |
| 3 | 124 | 9 |
| 4 | 284 | 9 |
| 5 | 475 | 9 |
| 6 | 675 | 9 |
| 7 | 927 | 9 |
| 8 | 1233 | 9 |
| 9 | 1505 | 9 |
| 10 | 1678 | 9 |
| 11 | 1985 | 9 |
| 12 | 2393 | 9 |
| 13 | 2780 | 9 |
| 14 | 3030 | 9 |
| 15 | 3388 | 9 |
| 16 | 3661 | 9 |
| 17 | 3948 | 9 |
| 18 | 4159 | 9 |
| 19 | 4265 | 9 |
| 20 | 4310 | 9 |
| 21 | 4344 | 9 |
| 22 | 4415 | 9 |
| 23 | 4541 | 9 |
| 24 | 4595 | 9 |
| 25 | 4623 | 9 |
| 26 | 4655 | 9 |
| 27 | 4707 | 9 |
| 0 | 4707 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64)) |
Compiled 11 to 10 computations (9.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) | |
| cost-diff | 1 | (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) | |
| cost-diff | 2 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 0 | 15 | 38 |
| 1 | 24 | 38 |
| 2 | 54 | 38 |
| 3 | 124 | 36 |
| 4 | 284 | 36 |
| 5 | 475 | 36 |
| 6 | 675 | 36 |
| 7 | 927 | 36 |
| 8 | 1233 | 36 |
| 9 | 1505 | 36 |
| 10 | 1678 | 36 |
| 11 | 1985 | 36 |
| 12 | 2393 | 36 |
| 13 | 2780 | 36 |
| 14 | 3030 | 36 |
| 15 | 3388 | 36 |
| 16 | 3661 | 36 |
| 17 | 3948 | 36 |
| 18 | 4159 | 36 |
| 19 | 4265 | 36 |
| 20 | 4310 | 36 |
| 21 | 4344 | 36 |
| 22 | 4415 | 36 |
| 23 | 4541 | 36 |
| 24 | 4595 | 36 |
| 25 | 4623 | 36 |
| 26 | 4655 | 36 |
| 27 | 4707 | 36 |
| 0 | 4707 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) |
#s(literal 4 binary64) |
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) |
(-.f64 x y) |
x |
y |
(*.f64 z #s(literal 1/2 binary64)) |
z |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64)) |
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) |
(-.f64 x y) |
x |
y |
(*.f64 z #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) z) |
z |
#s(literal 1/2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 z #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) | |
| accuracy | 0.00390625 | (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) | |
| accuracy | 0.015625 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 41.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 78 to 22 computations (71.8% saved)
ival-mult: 3.0ms (38.3% of total)ival-sub: 3.0ms (38.3% of total)ival-div: 2.0ms (25.5% 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 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) |
(-.f64 x y) |
(*.f64 z #s(literal 1/2 binary64)) |
| Outputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(* -1 (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(* -1 y) |
(- x y) |
(* 4 (/ x z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(* 4 x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (/ y x) 1))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(- x (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(+ x (* -1 y)) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(* -4 y) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* y (- (/ x y) 1)) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(- (+ x (* -1/2 z)) y) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(* 1/2 z) |
-2 |
(- (* 4 (/ (- x y) z)) 2) |
(* -1/2 z) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* -2 z) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2)) |
| 1.0ms | y | @ | inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2)) |
| 1.0ms | x | @ | inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2)) |
| 1.0ms | x | @ | 0 | ((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2)) |
| 1.0ms | z | @ | inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 437 |
| 1 | 408 | 403 |
| 2 | 1361 | 386 |
| 3 | 4687 | 386 |
| 0 | 8202 | 350 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(* -1 (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(* -1 y) |
(- x y) |
(* 4 (/ x z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(* 4 x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (/ y x) 1))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(- x (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(+ x (* -1 y)) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(* -4 y) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* y (- (/ x y) 1)) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(- (+ x (* -1/2 z)) y) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(* 1/2 z) |
-2 |
(- (* 4 (/ (- x y) z)) 2) |
(* -1/2 z) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* -2 z) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
| Outputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(* -1 (+ y (* 1/2 z))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) z y)) |
(- x (+ y (* 1/2 z))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -4 (+ y (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(* 4 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 4 binary64)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)) x) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)) x) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 4 binary64)) #s(literal 4 binary64))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(- x (* 1/2 z)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* 4 (- x (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z x) #s(literal 4 binary64)) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -4 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -4 binary64)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x z)) y) #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) z)) y) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) y (neg.f64 y)) |
(* -4 y) |
(*.f64 #s(literal -4 binary64) y) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x z)) y) #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) z)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) y (neg.f64 y)) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* 4 (/ (- x y) z)) |
(*.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(- (+ x (* -1/2 z)) y) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* 4 (- x y)) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(+ (* -2 z) (* 4 (- x y))) |
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -2 z) |
(*.f64 #s(literal -2 binary64) z) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 0 | 15 | 33 |
| 1 | 51 | 33 |
| 2 | 386 | 33 |
| 3 | 4958 | 33 |
| 0 | 8884 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) |
(-.f64 x y) |
(*.f64 z #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) |
(*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (neg.f64 z))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (/.f64 #s(literal 4 binary64) (neg.f64 z))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) z) #s(literal 4 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (/.f64 #s(literal 4 binary64) z)) |
(*.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) z)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) z)) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z y) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) z)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) z)) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) z)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z y) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) (*.f64 x x)) z)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) z)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) z)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) z)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) z)) |
(/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (neg.f64 z)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64)) z) |
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) z))) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) z) z) #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) z) z))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) z) z) #s(literal 4 binary64))) |
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) z) z))) |
(+.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) z) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) z) (/.f64 z (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) (*.f64 (*.f64 #s(literal 1/4 binary64) z) (/.f64 z (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) z) (/.f64 z (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) (*.f64 (*.f64 #s(literal 1/4 binary64) z) (/.f64 z (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z y) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 (-.f64 x y) #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 z (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z y) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (-.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 x y))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (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 #s(literal -1/2 binary64) z)) |
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(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(pow.f64 (-.f64 x y) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y))))) (exp.f64 (log.f64 (neg.f64 (+.f64 y x))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (exp.f64 (log.f64 (+.f64 y x)))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64))) (+.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 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))))) |
(/.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))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (*.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) (neg.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.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 y x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 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 (-.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 y x))) |
(/.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) |
(/.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))) |
(neg.f64 (neg.f64 (-.f64 x y))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 x (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y 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 x y) |
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (-.f64 x y))) |
(+.f64 (cosh.f64 (log.f64 (-.f64 x y))) (sinh.f64 (log.f64 (-.f64 x y)))) |
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 z #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z))) (sinh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z)))) |
Compiled 5 593 to 942 computations (83.2% 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 |
|---|---|---|
| ▶ | 66.9% | (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) |
| ▶ | 80.4% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) |
| 65.8% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) | |
| ▶ | 33.3% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
| 35.7% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) | |
| ▶ | 66.9% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) |
| 68.9% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) | |
| ▶ | 35.5% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
Compiled 270 to 226 computations (16.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) z x) | |
| cost-diff | 0 | #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) | |
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) x) | |
| cost-diff | 0 | #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) | |
| cost-diff | 0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) | |
| cost-diff | 0 | (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) | |
| cost-diff | 3 | (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 209 |
| 0 | 46 | 200 |
| 1 | 74 | 200 |
| 2 | 141 | 200 |
| 3 | 344 | 198 |
| 4 | 914 | 189 |
| 5 | 2393 | 189 |
| 6 | 5942 | 189 |
| 0 | 8171 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) |
(fma.f64 #s(literal 1/2 binary64) z y) |
#s(literal 1/2 binary64) |
z |
y |
x |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
x |
z |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(/.f64 #s(literal 4 binary64) z) |
#s(literal 4 binary64) |
z |
x |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) |
#s(literal 4 binary64) |
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
#s(literal -1/2 binary64) |
z |
x |
| Outputs |
|---|
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) |
(fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 4 binary64)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) |
(fma.f64 #s(literal 1/2 binary64) z y) |
#s(literal 1/2 binary64) |
z |
y |
x |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) x) |
(*.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
x |
z |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(/.f64 #s(literal 4 binary64) z) |
#s(literal 4 binary64) |
z |
x |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) |
(*.f64 #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) (/.f64 #s(literal 4 binary64) z)) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) |
(*.f64 #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
#s(literal -1/2 binary64) |
z |
x |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 #s(literal -1/2 binary64) z x) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) | |
| accuracy | 0.015625 | (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) | |
| accuracy | 21.508480800822113 | #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 4 binary64) z) | |
| accuracy | 0.08203125 | (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) | |
| accuracy | 21.156637574640317 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) x) | |
| accuracy | 0.015625 | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) | |
| accuracy | 43.224174986087526 | #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) | |
| accuracy | 41.30411500722174 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) | |
| accuracy | 0.01171875 | (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) | |
| accuracy | 0.015625 | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) | |
| accuracy | 14.702224491229266 | (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x) |
| 52.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 372 to 59 computations (84.1% saved)
ival-mult: 12.0ms (44.4% of total)ival-div: 7.0ms (25.9% of total)ival-add: 5.0ms (18.5% of total)ival-sub: 3.0ms (11.1% of total)exact: 1.0ms (3.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 #s(literal 4 binary64) x) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(/.f64 #s(literal 4 binary64) z) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) |
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) |
| Outputs |
|---|
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(* -4 (/ (+ y (* 1/2 z)) x)) |
(/ (+ (* -4 (+ y (* 1/2 z))) (* 4 x)) x) |
(* 4 x) |
-2 |
(- (* 4 (/ x z)) 2) |
(* -1 (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
(* -1/2 z) |
(+ x (* -1/2 z)) |
(/ (+ y (* 1/2 z)) x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* 4 (/ x z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
4 |
(+ 4 (* -4 (/ (+ y (* 1/2 z)) x))) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 1 (* -1/2 (/ z x)))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(* -1 (* x (- (* 1/2 (/ z x)) 1))) |
(* x (+ 4 (* -2 (/ z x)))) |
(+ (* -4 y) (* x (+ 4 (* -2 (/ z x))))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(+ 4 (* -2 (/ z x))) |
(+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))) |
(- x (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(* 1/2 (/ z x)) |
(+ (* 1/2 (/ z x)) (/ y x)) |
(* -4 y) |
(* y (- (/ (* x (+ 4 (* -2 (/ z x)))) y) 4)) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* -4 (/ y x)) |
(* y (- (+ (* -2 (/ z (* x y))) (* 4 (/ 1 y))) (* 4 (/ 1 x)))) |
(* -1 y) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(/ y x) |
(* y (+ (* 1/2 (/ z (* x y))) (/ 1 x))) |
(* -1 (* y (+ 4 (* -1 (/ (* x (+ 4 (* -2 (/ z x)))) y))))) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ (* -1 (/ (+ 4 (* -2 (/ z x))) y)) (* 4 (/ 1 x))))) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (- (* -1/2 (/ z (* x y))) (/ 1 x)))) |
(* x (+ 4 (* -4 (/ y x)))) |
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x))))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(+ 4 (* -4 (/ y x))) |
(/ (+ (* -2 z) (* 4 x)) z) |
(/ 4 z) |
(- x y) |
(- (+ x (* -1/2 z)) y) |
(* -2 z) |
(* z (- (/ (* x (+ 4 (* -4 (/ y x)))) z) 2)) |
(- (* 4 (/ (- x y) z)) 2) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* -2 (/ z x)) |
(* z (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* z (- (/ x z) 1/2)) |
(* z (+ (* 1/2 (/ 1 x)) (/ y (* x z)))) |
(* -1 (* z (+ 2 (* -1 (/ (* x (+ 4 (* -4 (/ y x)))) z))))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(* -1 (* z (+ (* -1 (/ (+ 4 (* -4 (/ y x))) z)) (* 2 (/ 1 x))))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(* -1 (* z (+ 1/2 (* -1 (/ x z))))) |
(* -1 (* z (- (* -1 (/ y (* x z))) (* 1/2 (/ 1 x))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | z | @ | 0 | ((* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (/ (+ (* 1/2 z) y) x)) |
| 2.0ms | x | @ | -inf | ((* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (/ (+ (* 1/2 z) y) x)) |
| 2.0ms | x | @ | 0 | ((* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (/ (+ (* 1/2 z) y) x)) |
| 2.0ms | x | @ | inf | ((* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (/ (+ (* 1/2 z) y) x)) |
| 2.0ms | z | @ | -inf | ((* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (/ (+ (* 1/2 z) y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 200 | 783 |
| 1 | 666 | 738 |
| 2 | 2406 | 712 |
| 3 | 7750 | 712 |
| 0 | 8536 | 641 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(* -4 (/ (+ y (* 1/2 z)) x)) |
(/ (+ (* -4 (+ y (* 1/2 z))) (* 4 x)) x) |
(* 4 x) |
-2 |
(- (* 4 (/ x z)) 2) |
(* -1 (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
(* -1/2 z) |
(+ x (* -1/2 z)) |
(/ (+ y (* 1/2 z)) x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* 4 (/ x z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
4 |
(+ 4 (* -4 (/ (+ y (* 1/2 z)) x))) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 1 (* -1/2 (/ z x)))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(* -1 (* x (- (* 1/2 (/ z x)) 1))) |
(* x (+ 4 (* -2 (/ z x)))) |
(+ (* -4 y) (* x (+ 4 (* -2 (/ z x))))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(+ 4 (* -2 (/ z x))) |
(+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))) |
(- x (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(* 1/2 (/ z x)) |
(+ (* 1/2 (/ z x)) (/ y x)) |
(* -4 y) |
(* y (- (/ (* x (+ 4 (* -2 (/ z x)))) y) 4)) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* -4 (/ y x)) |
(* y (- (+ (* -2 (/ z (* x y))) (* 4 (/ 1 y))) (* 4 (/ 1 x)))) |
(* -1 y) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(/ y x) |
(* y (+ (* 1/2 (/ z (* x y))) (/ 1 x))) |
(* -1 (* y (+ 4 (* -1 (/ (* x (+ 4 (* -2 (/ z x)))) y))))) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ (* -1 (/ (+ 4 (* -2 (/ z x))) y)) (* 4 (/ 1 x))))) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (- (* -1/2 (/ z (* x y))) (/ 1 x)))) |
(* x (+ 4 (* -4 (/ y x)))) |
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x))))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(+ 4 (* -4 (/ y x))) |
(/ (+ (* -2 z) (* 4 x)) z) |
(/ 4 z) |
(- x y) |
(- (+ x (* -1/2 z)) y) |
(* -2 z) |
(* z (- (/ (* x (+ 4 (* -4 (/ y x)))) z) 2)) |
(- (* 4 (/ (- x y) z)) 2) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* -2 (/ z x)) |
(* z (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* z (- (/ x z) 1/2)) |
(* z (+ (* 1/2 (/ 1 x)) (/ y (* x z)))) |
(* -1 (* z (+ 2 (* -1 (/ (* x (+ 4 (* -4 (/ y x)))) z))))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(* -1 (* z (+ (* -1 (/ (+ 4 (* -4 (/ y x))) z)) (* 2 (/ 1 x))))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(* -1 (* z (+ 1/2 (* -1 (/ x z))))) |
(* -1 (* z (- (* -1 (/ y (* x z))) (* 1/2 (/ 1 x))))) |
| Outputs |
|---|
(* -4 (+ y (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64)) |
(* -4 (/ (+ y (* 1/2 z)) z)) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(* -4 (/ (+ y (* 1/2 z)) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64)) |
(/ (+ (* -4 (+ y (* 1/2 z))) (* 4 x)) x) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ x z)) 2) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(* -1 (+ y (* 1/2 z))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) z y)) |
(- x (+ y (* 1/2 z))) |
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(+ x (* -1/2 z)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(/ (+ y (* 1/2 z)) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x) |
(* 4 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 4 binary64)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x) z) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 (/ (+ y (* 1/2 z)) x))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) z)) x) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(fma.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z y)) #s(literal 1 binary64) x) |
(* x (+ 1 (* -1/2 (/ z x)))) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 4 binary64)) #s(literal 4 binary64))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x) z) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* 1/2 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 z x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* x (+ 4 (* -2 (/ z x)))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) x) |
(+ (* -4 y) (* x (+ 4 (* -2 (/ z x))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1 binary64) (*.f64 (-.f64 x y) #s(literal 4 binary64))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(* 4 (- x (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z x) #s(literal 4 binary64)) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64)) |
(+ 4 (* -2 (/ z x))) |
(fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) |
(+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) |
(- x (* 1/2 z)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) |
(* 1/2 (/ z x)) |
(*.f64 (/.f64 z x) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ z x)) (/ y x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) |
(* -4 y) |
(*.f64 #s(literal -4 binary64) y) |
(* y (- (/ (* x (+ 4 (* -2 (/ z x)))) y) 4)) |
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) x) y) #s(literal 4 binary64)) y) |
(* -4 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -4 binary64)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x z)) y) #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) z)) y) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64)) #s(literal 4 binary64)) y) |
(* -4 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -4 binary64)) |
(* y (- (+ (* -2 (/ z (* x y))) (* 4 (/ 1 y))) (* 4 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) y) (/.f64 #s(literal 4 binary64) x)) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 1 binary64)) y) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* 1/2 (/ z (* x y))) (/ 1 x))) |
(*.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y) |
(* -1 (* y (+ 4 (* -1 (/ (* x (+ 4 (* -2 (/ z x)))) y))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) y) x #s(literal -4 binary64)) y) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x z)) y) #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) z)) y) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal -1/2 binary64) z x) #s(literal -4 binary64)) y) |
(* -1 (* y (+ (* -1 (/ (+ 4 (* -2 (/ z x))) y)) (* 4 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) y) (/.f64 #s(literal 4 binary64) x)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) y (neg.f64 y)) |
(* -1 (* y (- (* -1/2 (/ z (* x y))) (/ 1 x)))) |
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(* x (+ 4 (* -4 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) x) |
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x))))) |
(fma.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) x (*.f64 #s(literal -2 binary64) z)) |
(* 4 (/ (- x y) z)) |
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(* 4 (- x y)) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(+ (* -2 z) (* 4 (- x y))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64)) |
(+ 4 (* -4 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) |
(/ (+ (* -2 z) (* 4 x)) z) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(/ 4 z) |
(/.f64 #s(literal 4 binary64) z) |
(- x y) |
(-.f64 x y) |
(- (+ x (* -1/2 z)) y) |
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) |
(* -2 z) |
(*.f64 #s(literal -2 binary64) z) |
(* z (- (/ (* x (+ 4 (* -4 (/ y x)))) z) 2)) |
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) x) z) #s(literal 2 binary64)) z) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z) |
(* -2 (/ z x)) |
(*.f64 (/.f64 z x) #s(literal -2 binary64)) |
(* z (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) z) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 x y) z) #s(literal 1/2 binary64)) z) |
(* z (- (/ x z) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(* z (+ (* 1/2 (/ 1 x)) (/ y (* x z)))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) |
(* -1 (* z (+ 2 (* -1 (/ (* x (+ 4 (* -4 (/ y x)))) z))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x #s(literal -2 binary64)) z) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z) |
(* -1 (* z (+ (* -1 (/ (+ 4 (* -4 (/ y x))) z)) (* 2 (/ 1 x))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) z) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(*.f64 (+.f64 (/.f64 (-.f64 x y) z) #s(literal -1/2 binary64)) z) |
(* -1 (* z (+ 1/2 (* -1 (/ x z))))) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(* -1 (* z (- (* -1 (/ y (* x z))) (* 1/2 (/ 1 x))))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 187 |
| 0 | 46 | 178 |
| 1 | 164 | 178 |
| 2 | 1038 | 178 |
| 0 | 8212 | 178 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 #s(literal 4 binary64) x) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(/.f64 #s(literal 4 binary64) z) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) |
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x) |
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x)) (*.f64 (*.f64 x x) #s(literal 16 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 #s(literal 4 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)))) (*.f64 (*.f64 x x) #s(literal 16 binary64))) (-.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 4 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x))) (-.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))))) (-.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 #s(literal 4 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (-.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 4 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x)) (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)))) (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal 16 binary64)) x)) (neg.f64 (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) #s(literal 64 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal -16 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) #s(literal 64 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal -16 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal 16 binary64)) x) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) #s(literal 64 binary64)) x) (fma.f64 (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal -16 binary64))))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (pow.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal -16 binary64))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x (*.f64 #s(literal 4 binary64) x)) |
(fma.f64 #s(literal 4 binary64) x (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x)) |
(fma.f64 #s(literal 4 binary64) x (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)))) |
(fma.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) (*.f64 #s(literal 4 binary64) x)) |
(fma.f64 x #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x)) |
(fma.f64 x #s(literal 4 binary64) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)))) |
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 (neg.f64 x) #s(literal 4 binary64))) |
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 #s(literal -4 binary64) x)) |
(-.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 (neg.f64 x) #s(literal 4 binary64))) |
(-.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal -4 binary64) x)) |
(-.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) x)) |
(-.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)))) |
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x) (*.f64 #s(literal 4 binary64) x)) |
(+.f64 (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 4 binary64) x)) |
(+.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) x)) |
(+.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 x (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x))))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x))) (neg.f64 z)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x)) z) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x))) z)) |
(neg.f64 (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x)) (neg.f64 z))) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) #s(literal 4 binary64))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 z) #s(literal -1/2 binary64)) (*.f64 (neg.f64 z) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (neg.f64 z) #s(literal -1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))))) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))))))) |
(/.f64 (neg.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 z z)))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))))) |
(/.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) (-.f64 x (*.f64 #s(literal -1/2 binary64) z))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 #s(literal 1/2 binary64) (*.f64 z x)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (*.f64 z #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 #s(literal 1/2 binary64) (*.f64 z x))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(fma.f64 z #s(literal -1/2 binary64) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal -1/2 binary64) z))) (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x))) |
(-.f64 x (*.f64 (neg.f64 z) #s(literal -1/2 binary64))) |
(-.f64 x (*.f64 z #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 #s(literal 1/2 binary64) (*.f64 z x))))) (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 #s(literal 1/2 binary64) (*.f64 z x)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 #s(literal 1/2 binary64) (*.f64 z x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 #s(literal 1/2 binary64) (*.f64 z x)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) z) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 z)) #s(literal -1/2 binary64))) |
(+.f64 x (*.f64 (neg.f64 z) #s(literal 1/2 binary64))) |
(+.f64 x (*.f64 #s(literal -1/2 binary64) z)) |
(*.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) (-.f64 (*.f64 z #s(literal 1/2 binary64)) y)) (/.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64)))))) (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 (/.f64 y x) (/.f64 (*.f64 z #s(literal 1/2 binary64)) x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 y x) (/.f64 (*.f64 z #s(literal 1/2 binary64)) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) (/.f64 y x)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 z #s(literal 1/2 binary64) y)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) x (*.f64 x y))) (neg.f64 (*.f64 x x))) |
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (neg.f64 z) #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (fma.f64 (neg.f64 y) x (*.f64 (neg.f64 x) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 y (neg.f64 x) (*.f64 x (*.f64 (neg.f64 z) #s(literal 1/2 binary64)))) (*.f64 x (neg.f64 x))) |
(/.f64 (fma.f64 x y (*.f64 x (*.f64 z #s(literal 1/2 binary64)))) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) #s(literal 1/2 binary64)) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 x) y)) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 x) (*.f64 x (neg.f64 y))) (*.f64 x (neg.f64 x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) (/.f64 y x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 (neg.f64 y) y))) (neg.f64 (*.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64))))) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 z #s(literal 1/2 binary64) y))) (neg.f64 (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) x (*.f64 x y)) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64))))) x)) |
(/.f64 (neg.f64 (fma.f64 z #s(literal 1/2 binary64) y)) (neg.f64 x)) |
(/.f64 (fma.f64 z #s(literal 1/2 binary64) y) x) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 z #s(literal 1/2 binary64) y)) x)) |
(neg.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) y) (neg.f64 x))) |
(fma.f64 z (/.f64 #s(literal 1/2 binary64) x) (/.f64 y x)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 z x) (/.f64 y x)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x)) (/.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) y)) x) (/.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/2 binary64)) y)) x)) |
(-.f64 (/.f64 y x) (*.f64 (neg.f64 z) (/.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (/.f64 y x) (*.f64 #s(literal -1/2 binary64) (/.f64 z x))) |
(-.f64 (/.f64 y x) (/.f64 (*.f64 (neg.f64 z) #s(literal 1/2 binary64)) x)) |
(-.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -1/2 binary64) z) x)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) (/.f64 y x))))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) (/.f64 y x)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) x) (*.f64 x x)) (/.f64 (*.f64 x y) (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64))))) x)) (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64))))) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64))))) x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64))))) x))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64)))))) x) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 y (-.f64 y (*.f64 z #s(literal 1/2 binary64)))))) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x)) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 (*.f64 z #s(literal 1/2 binary64)) y) x))) |
(+.f64 (/.f64 y x) (/.f64 (*.f64 z #s(literal 1/2 binary64)) x)) |
(+.f64 (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) (/.f64 y x)) |
Compiled 10 338 to 1 411 computations (86.4% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 273 | 3 | 276 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 277 | 7 | 284 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.8% | (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
| ▶ | 58.8% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) |
| ✓ | 33.3% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
| ▶ | 35.7% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
| ▶ | 68.9% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
| ▶ | 66.9% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
| ✓ | 35.5% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
Compiled 216 to 175 computations (19% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x) | |
| cost-diff | 0 | #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) | |
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) y) | |
| cost-diff | 0 | #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) | |
| cost-diff | 0 | (/.f64 #s(literal -4 binary64) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 245 |
| 0 | 50 | 245 |
| 1 | 77 | 245 |
| 2 | 144 | 245 |
| 3 | 276 | 241 |
| 4 | 581 | 241 |
| 5 | 946 | 241 |
| 6 | 1270 | 241 |
| 7 | 1551 | 241 |
| 8 | 1855 | 241 |
| 9 | 2376 | 241 |
| 10 | 3104 | 241 |
| 11 | 3902 | 241 |
| 12 | 4667 | 241 |
| 13 | 6251 | 241 |
| 14 | 7422 | 241 |
| 0 | 8375 | 227 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(/.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
y |
#s(literal -2 binary64) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) |
(*.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
z |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
#s(literal 4 binary64) |
(/.f64 x z) |
x |
z |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) |
#s(literal 4 binary64) |
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) |
(-.f64 x y) |
x |
y |
z |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) |
(*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x) |
(fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) |
#s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
z |
| Outputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) |
(/.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
y |
#s(literal -2 binary64) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) |
(*.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
z |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
#s(literal 4 binary64) |
(/.f64 x z) |
x |
z |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
(*.f64 (/.f64 #s(literal 4 binary64) z) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) |
(*.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) |
(-.f64 x y) |
x |
y |
z |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) |
(*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x) |
(fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) |
#s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
#s(literal -4 binary64) |
#s(literal 4 binary64) |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) | |
| accuracy | 14.702224491229266 | (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x) | |
| accuracy | 28.282801987864474 | #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) | |
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) | |
| accuracy | 0.015625 | (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) | |
| accuracy | 22.020828672802008 | #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) | |
| accuracy | 0.0 | (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 21.156637574640317 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal -4 binary64) y) | |
| accuracy | 0.015625 | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) | |
| accuracy | 42.023069766135784 | #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) | |
| accuracy | 0.0 | (/.f64 #s(literal -4 binary64) z) | |
| accuracy | 0.06640625 | (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) | |
| accuracy | 19.882724663919742 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
| 49.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 416 to 63 computations (84.9% saved)
ival-div: 12.0ms (36.6% of total)ival-mult: 11.0ms (33.5% of total)ival-add: 6.0ms (18.3% of total)ival-sub: 3.0ms (9.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(/.f64 #s(literal -4 binary64) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) |
(*.f64 #s(literal -4 binary64) y) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(/.f64 x z) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) |
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) |
(-.f64 x y) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) |
(*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x) |
(fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) |
#s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) |
| Outputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
-2 |
(- (* 4 (/ x z)) 2) |
(/ x z) |
(* -1 (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
(* -1 y) |
(- x y) |
(* -4 (/ (+ y (* 1/2 z)) x)) |
(/ (+ (* -4 (+ y (* 1/2 z))) (* 4 x)) x) |
(/ (+ y (* 1/2 z)) x) |
(* 4 (/ x z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* 4 x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
4 |
(+ 4 (* -4 (/ (+ y (* 1/2 z)) x))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(- (* -4 (/ y z)) 2) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(* -4 y) |
(- x (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(+ x (* -1 y)) |
(* x (+ 4 (* -2 (/ z x)))) |
(+ (* -4 y) (* x (+ 4 (* -2 (/ z x))))) |
(+ 4 (* -2 (/ z x))) |
(+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))) |
(* 1/2 (/ z x)) |
(+ (* 1/2 (/ z x)) (/ y x)) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(* y (- (/ x y) 1)) |
(* y (- (/ (* x (+ 4 (* -2 (/ z x)))) y) 4)) |
(* -4 (/ y x)) |
(* y (- (+ (* -2 (/ z (* x y))) (* 4 (/ 1 y))) (* 4 (/ 1 x)))) |
(/ y x) |
(* y (+ (* 1/2 (/ z (* x y))) (/ 1 x))) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 4 (* -1 (/ (* x (+ 4 (* -2 (/ z x)))) y))))) |
(* -1 (* y (+ (* -1 (/ (+ 4 (* -2 (/ z x))) y)) (* 4 (/ 1 x))))) |
(* -1 (* y (- (* -1/2 (/ z (* x y))) (/ 1 x)))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/ (+ (* -4 y) (* -2 z)) z) |
(/ -4 z) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(/ (+ (* -2 z) (* 4 x)) z) |
(- (+ x (* -1/2 z)) y) |
(* x (+ 4 (* -4 (/ y x)))) |
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x))))) |
(+ 4 (* -4 (/ y x))) |
(- (* 4 (/ (- x y) z)) 2) |
(* -2 z) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* -1/2 z) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* z (- (/ (* x (+ 4 (* -4 (/ y x)))) z) 2)) |
(* -2 (/ z x)) |
(* z (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(* z (+ (* 1/2 (/ 1 x)) (/ y (* x z)))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(* -1 (* z (+ 2 (* -1 (/ (* x (+ 4 (* -4 (/ y x)))) z))))) |
(* -1 (* z (+ (* -1 (/ (+ 4 (* -4 (/ y x))) z)) (* 2 (/ 1 x))))) |
(* -1 (* z (- (* -1 (/ y (* x z))) (* 1/2 (/ 1 x))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | 0 | ((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* 4 (/ x z)) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (+ (* 1/2 z) y) x)) |
| 2.0ms | x | @ | -inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* 4 (/ x z)) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (+ (* 1/2 z) y) x)) |
| 2.0ms | z | @ | 0 | ((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* 4 (/ x z)) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (+ (* 1/2 z) y) x)) |
| 2.0ms | z | @ | -inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* 4 (/ x z)) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (+ (* 1/2 z) y) x)) |
| 1.0ms | x | @ | inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* 4 (/ x z)) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) x) (+ (* (/ (+ (* 1/2 z) y) x) -4) 4) (/ (+ (* 1/2 z) y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 794 |
| 1 | 700 | 748 |
| 2 | 2502 | 715 |
| 0 | 8110 | 647 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
-2 |
(- (* 4 (/ x z)) 2) |
(/ x z) |
(* -1 (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
(* -1 y) |
(- x y) |
(* -4 (/ (+ y (* 1/2 z)) x)) |
(/ (+ (* -4 (+ y (* 1/2 z))) (* 4 x)) x) |
(/ (+ y (* 1/2 z)) x) |
(* 4 (/ x z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* 4 x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
4 |
(+ 4 (* -4 (/ (+ y (* 1/2 z)) x))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(- (* -4 (/ y z)) 2) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(* -4 y) |
(- x (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(+ x (* -1 y)) |
(* x (+ 4 (* -2 (/ z x)))) |
(+ (* -4 y) (* x (+ 4 (* -2 (/ z x))))) |
(+ 4 (* -2 (/ z x))) |
(+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))) |
(* 1/2 (/ z x)) |
(+ (* 1/2 (/ z x)) (/ y x)) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(* y (- (/ x y) 1)) |
(* y (- (/ (* x (+ 4 (* -2 (/ z x)))) y) 4)) |
(* -4 (/ y x)) |
(* y (- (+ (* -2 (/ z (* x y))) (* 4 (/ 1 y))) (* 4 (/ 1 x)))) |
(/ y x) |
(* y (+ (* 1/2 (/ z (* x y))) (/ 1 x))) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 4 (* -1 (/ (* x (+ 4 (* -2 (/ z x)))) y))))) |
(* -1 (* y (+ (* -1 (/ (+ 4 (* -2 (/ z x))) y)) (* 4 (/ 1 x))))) |
(* -1 (* y (- (* -1/2 (/ z (* x y))) (/ 1 x)))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/ (+ (* -4 y) (* -2 z)) z) |
(/ -4 z) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(/ (+ (* -2 z) (* 4 x)) z) |
(- (+ x (* -1/2 z)) y) |
(* x (+ 4 (* -4 (/ y x)))) |
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x))))) |
(+ 4 (* -4 (/ y x))) |
(- (* 4 (/ (- x y) z)) 2) |
(* -2 z) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* -1/2 z) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* z (- (/ (* x (+ 4 (* -4 (/ y x)))) z) 2)) |
(* -2 (/ z x)) |
(* z (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(* z (+ (* 1/2 (/ 1 x)) (/ y (* x z)))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(* -1 (* z (+ 2 (* -1 (/ (* x (+ 4 (* -4 (/ y x)))) z))))) |
(* -1 (* z (+ (* -1 (/ (+ 4 (* -4 (/ y x))) z)) (* 2 (/ 1 x))))) |
(* -1 (* z (- (* -1 (/ y (* x z))) (* 1/2 (/ 1 x))))) |
| Outputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(* -4 (+ y (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ x z)) 2) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(/ x z) |
(/.f64 x z) |
(* -1 (+ y (* 1/2 z))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) z y)) |
(- x (+ y (* 1/2 z))) |
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(* -4 (/ (+ y (* 1/2 z)) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64)) |
(/ (+ (* -4 (+ y (* 1/2 z))) (* 4 x)) x) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) |
(/ (+ y (* 1/2 z)) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) |
(* 4 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 4 binary64)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x) |
(* 4 x) |
(*.f64 x #s(literal 4 binary64)) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(fma.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1 binary64) (*.f64 (-.f64 x y) #s(literal 4 binary64))) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) z)) x) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(fma.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z y)) #s(literal 1 binary64) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
4 |
#s(literal 4 binary64) |
(+ 4 (* -4 (/ (+ y (* 1/2 z)) x))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 4 binary64)) #s(literal 4 binary64))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(* 4 (- x (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z x) #s(literal 4 binary64)) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64)) |
(* -4 y) |
(*.f64 #s(literal -4 binary64) y) |
(- x (* 1/2 z)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* x (+ 4 (* -2 (/ z x)))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) x) |
(+ (* -4 y) (* x (+ 4 (* -2 (/ z x))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1 binary64) (*.f64 (-.f64 x y) #s(literal 4 binary64))) |
(+ 4 (* -2 (/ z x))) |
(fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) |
(+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) |
(* 1/2 (/ z x)) |
(*.f64 (/.f64 z x) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ z x)) (/ y x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) |
(* -4 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -4 binary64)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64)) #s(literal 4 binary64)) y) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 1 binary64)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (/ (* x (+ 4 (* -2 (/ z x)))) y) 4)) |
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) x) y) #s(literal 4 binary64)) y) |
(* -4 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -4 binary64)) |
(* y (- (+ (* -2 (/ z (* x y))) (* 4 (/ 1 y))) (* 4 (/ 1 x)))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal 2 binary64) #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) x) y))) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* 1/2 (/ z (* x y))) (/ 1 x))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal -1/2 binary64) z x) #s(literal -4 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(neg.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal 1 binary64) y)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 4 (* -1 (/ (* x (+ 4 (* -2 (/ z x)))) y))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z x) #s(literal -2 binary64) #s(literal 4 binary64)) y) x #s(literal -4 binary64)) y) |
(* -1 (* y (+ (* -1 (/ (+ 4 (* -2 (/ z x))) y)) (* 4 (/ 1 x))))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal 2 binary64) #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) x) y))) |
(* -1 (* y (- (* -1/2 (/ z (* x y))) (/ 1 x)))) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 z y) x)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)) |
(* 4 (/ (- x y) z)) |
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(/ (+ (* -4 y) (* -2 z)) z) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(/ -4 z) |
(/.f64 #s(literal -4 binary64) z) |
(* 4 (- x y)) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(+ (* -2 z) (* 4 (- x y))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64)) |
(/ (+ (* -2 z) (* 4 x)) z) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(- (+ x (* -1/2 z)) y) |
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) |
(* x (+ 4 (* -4 (/ y x)))) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(+ (* -2 z) (* x (+ 4 (* -4 (/ y x))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64)) |
(+ 4 (* -4 (/ y x))) |
(fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(* -2 z) |
(*.f64 #s(literal -2 binary64) z) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 x y) z) #s(literal 1/2 binary64)) z) |
(* z (- (/ (* x (+ 4 (* -4 (/ y x)))) z) 2)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z) |
(* -2 (/ z x)) |
(*.f64 (/.f64 z x) #s(literal -2 binary64)) |
(* z (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) z) |
(* z (+ (* 1/2 (/ 1 x)) (/ y (* x z)))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(*.f64 (+.f64 (/.f64 (-.f64 x y) z) #s(literal -1/2 binary64)) z) |
(* -1 (* z (+ 2 (* -1 (/ (* x (+ 4 (* -4 (/ y x)))) z))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z) |
(* -1 (* z (+ (* -1 (/ (+ 4 (* -4 (/ y x))) z)) (* 2 (/ 1 x))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) z) |
(* -1 (* z (- (* -1 (/ y (* x z))) (* 1/2 (/ 1 x))))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 222 |
| 0 | 50 | 222 |
| 1 | 170 | 222 |
| 2 | 1030 | 222 |
| 0 | 8270 | 208 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(/.f64 #s(literal -4 binary64) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) |
(*.f64 #s(literal -4 binary64) y) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) |
(/.f64 x z) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) |
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) |
(-.f64 x y) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) |
(*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x) |
(fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) |
#s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) |
| Outputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64)))))) (*.f64 (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))))))) |
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(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 64 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))) (*.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))) #s(literal 64 binary64))) (*.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))))) |
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64))) (neg.f64 (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 64 binary64))) (neg.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64)) (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) |
(/.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 64 binary64)) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64))) (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 64 binary64))) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 16 binary64)) (neg.f64 (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 64 binary64)) (neg.f64 (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))))) |
(fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) |
(fma.f64 #s(literal -4 binary64) #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 4 binary64)) |
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)))) (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64)))) |
(-.f64 #s(literal 4 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 4 binary64))) |
(+.f64 (/.f64 #s(literal 64 binary64) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) (/.f64 #s(literal 64 binary64) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))))) |
(+.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 16 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -16 binary64)))))) |
(+.f64 (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64)) #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (neg.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)))) #s(literal -4 binary64))) |
(+.f64 #s(literal 4 binary64) (*.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64))) |
#s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) |
Compiled 10 977 to 1 131 computations (89.7% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 259 | 0 | 259 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 259 | 7 | 266 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 65.8% | (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
| ✓ | 58.8% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) |
| ✓ | 33.3% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
| ✓ | 35.7% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
| ✓ | 68.9% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
| ✓ | 66.9% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
| ✓ | 35.5% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
Compiled 329 to 161 computations (51.1% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(approx (/ (+ (* 1/2 z) y) x) (/.f64 y x)) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
5 calls:
| 4.0ms | z |
| 4.0ms | (-.f64 x y) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 100.0% | 1 | (-.f64 x y) |
Compiled 17 to 23 computations (-35.3% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) |
| Outputs |
|---|
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) |
5 calls:
| 21.0ms | (-.f64 x y) |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 3 | x |
| 88.6% | 3 | y |
| 91.5% | 3 | z |
| 99.0% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 85.0% | 3 | (-.f64 x y) |
Compiled 17 to 23 computations (-35.3% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) |
| Outputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
3 calls:
| 3.0ms | z |
| 3.0ms | x |
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.8% | 3 | x |
| 77.6% | 5 | z |
| 76.8% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
Compiled 13 to 16 computations (-23.1% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
3 calls:
| 46.0ms | y |
| 2.0ms | (-.f64 x y) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 1 | (-.f64 x y) |
| 81.1% | 3 | y |
| 72.4% | 3 | x |
Compiled 5 to 10 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
3 calls:
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 7 | z |
| 75.2% | 4 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 58.8% | 3 | y |
Compiled 13 to 16 computations (-23.1% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
3 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 x y) |
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 3 | (-.f64 x y) |
| 41.0% | 2 | x |
| 68.0% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
Compiled 15 to 17 computations (-13.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
| Outputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
5 calls:
| 1.0ms | y |
| 1.0ms | (-.f64 x y) |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.5% | 1 | x |
| 35.5% | 1 | (-.f64 x y) |
| 35.5% | 1 | y |
| 35.5% | 1 | z |
| 35.5% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
Compiled 17 to 23 computations (-35.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2732194046183456 | 2442.734173112617 |
| 0.0ms | -1458406170907615.5 | -2.085807931662406 |
Compiled 14 to 16 computations (-14.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.014499560840245e-31 | 1.4218850930518414e-22 |
| 47.0ms | -5.918060674344661e+87 | -1.19896289544814e+86 |
| 50.0ms | 256× | 0 | valid |
Compiled 590 to 528 computations (10.5% saved)
ival-sub: 39.0ms (88.5% of total)ival-mult: 3.0ms (6.8% of total)ival-div: 2.0ms (4.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 1.7943237553694557e+137 | 9.908384909861147e+153 |
| 14.0ms | -3.8819398668750946e+120 | -1.6306096869025718e+107 |
| 34.0ms | 320× | 0 | valid |
Compiled 674 to 616 computations (8.6% saved)
ival-sub: 21.0ms (77.4% of total)ival-mult: 4.0ms (14.8% of total)ival-div: 2.0ms (7.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.5355395674604548 | 1.2732194046183456 |
| 0.0ms | -1458406170907615.5 | -2.085807931662406 |
| 0.0ms | -1.0707003302978622e+198 | -7.752006689165309e+195 |
Compiled 14 to 16 computations (-14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.5355395674604548 | 1.2732194046183456 |
| 0.0ms | -1458406170907615.5 | -2.085807931662406 |
Compiled 14 to 16 computations (-14.3% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 332 |
| 1 | 90 | 332 |
| 2 | 135 | 332 |
| 3 | 225 | 332 |
| 4 | 398 | 318 |
| 5 | 839 | 318 |
| 6 | 2368 | 318 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z))) |
(if (<=.f64 x #s(literal -270000000000000017753780405863343293231423331277507770907442856876618128672858465894400 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 8166776806102523/1361129467683753853853498429727072845824 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))))) |
(if (<=.f64 y #s(literal -48000000000000000186915788669957412525513096910099879271337613552017637770910998515771330920882041143238528163754541056 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 49999999999999996681683364986231121055509847158923091289463001947809936825071710129649256226662527266508888537465191395528952846213699856588865536 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000000000000017535541566019400541537441865177200086145798104936341572305513193378283771523764365204900328030374534281861011105867876227585990799216050325567033999660761493056632508247061001404416 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z))) |
(if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 2 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))) |
(if (<=.f64 x #s(literal -270000000000000017753780405863343293231423331277507770907442856876618128672858465894400 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 8166776806102523/1361129467683753853853498429727072845824 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))))) |
(if (or (<=.f64 x #s(literal -270000000000000017753780405863343293231423331277507770907442856876618128672858465894400 binary64)) (not (<=.f64 x #s(literal 8166776806102523/1361129467683753853853498429727072845824 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))) |
(if (<=.f64 y #s(literal -48000000000000000186915788669957412525513096910099879271337613552017637770910998515771330920882041143238528163754541056 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 49999999999999996681683364986231121055509847158923091289463001947809936825071710129649256226662527266508888537465191395528952846213699856588865536 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z))) |
(if (or (<=.f64 y #s(literal -48000000000000000186915788669957412525513096910099879271337613552017637770910998515771330920882041143238528163754541056 binary64)) (not (<=.f64 y #s(literal 49999999999999996681683364986231121055509847158923091289463001947809936825071710129649256226662527266508888537465191395528952846213699856588865536 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000000000000017535541566019400541537441865177200086145798104936341572305513193378283771523764365204900328030374534281861011105867876227585990799216050325567033999660761493056632508247061001404416 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z))) |
(if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 437 |
| 1 | 408 | 403 |
| 2 | 1361 | 386 |
| 3 | 4687 | 386 |
| 0 | 8202 | 350 |
| 0 | 30 | 187 |
| 0 | 46 | 178 |
| 1 | 164 | 178 |
| 2 | 1038 | 178 |
| 0 | 8212 | 178 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 433 to 178 computations (58.9% saved)
Compiled 712 to 174 computations (75.6% saved)
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