
Time bar (total: 7.7s)
| 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)
| 880.0ms | 8 256× | 0 | valid |
ival-mult: 282.0ms (45.1% of total)ival-div: 192.0ms (30.7% of total)ival-sub: 133.0ms (21.3% of total)exact: 9.0ms (1.4% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% 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 |
| 36.0ms | 512× | 0 | valid |
Compiled 91 to 34 computations (62.6% saved)
ival-sub: 8.0ms (42% of total)ival-mult: 7.0ms (36.7% of total)ival-div: 4.0ms (21% of total)exact: 1.0ms (5.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 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 x y) | |
| 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 | 0.015625 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 71.0ms | 256× | 0 | valid |
Compiled 40 to 12 computations (70% saved)
ival-div: 54.0ms (90.6% of total)ival-sub: 3.0ms (5% of total)ival-mult: 3.0ms (5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 #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 | |
|---|---|---|---|---|
| 33.0ms | 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)) |
| 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 | @ | 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 | 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× | 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)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 10 | 210 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 201 | 10 | 211 |
| Status | Accuracy | Program |
|---|---|---|
| 87.5% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y)) z) | |
| ▶ | 73.7% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z) |
| 64.4% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) | |
| ▶ | 27.9% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
| 40.1% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) | |
| ▶ | 61.9% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) |
| 73.6% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) | |
| ▶ | 99.8% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) |
| 94.9% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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)) | |
| ▶ | 35.2% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
Compiled 366 to 300 computations (18% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) z y) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)) | |
| cost-diff | 0 | #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) 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 | (/.f64 #s(literal -4 binary64) z) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 166 |
| 0 | 40 | 159 |
| 1 | 60 | 159 |
| 2 | 113 | 159 |
| 3 | 236 | 156 |
| 4 | 502 | 156 |
| 5 | 812 | 156 |
| 6 | 1095 | 156 |
| 7 | 1505 | 153 |
| 8 | 2232 | 153 |
| 9 | 2906 | 153 |
| 10 | 3260 | 153 |
| 11 | 3665 | 153 |
| 12 | 3803 | 153 |
| 13 | 3917 | 153 |
| 14 | 3966 | 153 |
| 15 | 4036 | 153 |
| 16 | 4153 | 153 |
| 17 | 4201 | 153 |
| 18 | 4240 | 153 |
| 19 | 4277 | 153 |
| 20 | 4316 | 153 |
| 0 | 4316 | 153 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) |
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(-.f64 y x) |
y |
x |
(/.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
#s(literal -2 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 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)) |
(fma.f64 #s(literal 1/2 binary64) z y) |
#s(literal 1/2 binary64) |
z |
y |
#s(literal -4 binary64) |
| Outputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))) |
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64)) |
(-.f64 y x) |
y |
x |
(/.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
#s(literal -2 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 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)) |
(fma.f64 #s(literal 1/2 binary64) z y) |
#s(literal 1/2 binary64) |
z |
y |
#s(literal -4 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 #s(literal 1/2 binary64) z y) | |
| accuracy | 0.0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z) | |
| accuracy | 17.19215607003086 | #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 4 binary64) z) | |
| accuracy | 0.1015625 | (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) | |
| accuracy | 24.315270779242184 | #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 | 46.774824691862115 | #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) | |
| accuracy | 41.48995664472484 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) | |
| accuracy | 0.0 | (/.f64 #s(literal -4 binary64) z) | |
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) | |
| accuracy | 0.14453125 | (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
| 49.0ms | 256× | 0 | valid |
Compiled 132 to 25 computations (81.1% saved)
ival-mult: 11.0ms (46.1% of total)ival-div: 5.0ms (21% of total)ival-sub: 4.0ms (16.8% of total)ival-add: 3.0ms (12.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) |
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(-.f64 y x) |
(/.f64 #s(literal -4 binary64) 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) |
#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 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)) |
(fma.f64 #s(literal 1/2 binary64) z y) |
| Outputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(- (* -4 (/ y z)) 2) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
y |
(+ y (* -1 x)) |
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(* 4 x) |
-2 |
(- (* 4 (/ x z)) 2) |
(* 4 (/ x z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(- y x) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(* -2 z) |
(+ (* -4 y) (* -2 z)) |
(* 1/2 z) |
(+ y (* 1/2 z)) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -4 y) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* y (- (* -2 (/ z y)) 4)) |
(* y (+ 1 (* 1/2 (/ z y)))) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 4 (* 2 (/ z y))))) |
(* -1 (* y (- (* -1/2 (/ z y)) 1))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(* -4 (/ (- y x) z)) |
(/ (+ (* -4 (- y x)) (* -2 z)) z) |
(/ -4 z) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(/ (+ (* -2 z) (* 4 x)) z) |
(/ 4 z) |
(- (* 4 (/ (- x y) z)) 2) |
(- (* -4 (/ (- y x) z)) 2) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* z (- (* -4 (/ y z)) 2)) |
(* z (+ 1/2 (/ y z))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(* -1 (* z (+ 2 (* 4 (/ y z))))) |
(* -1 (* z (- (* -1 (/ y z)) 1/2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- y x) (/ -4 z)) -2) (- y x) (/ -4 z) (/ (* 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))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y)) |
| 2.0ms | x | @ | inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- y x) (/ -4 z)) -2) (- y x) (/ -4 z) (/ (* 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))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y)) |
| 2.0ms | z | @ | 0 | ((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- y x) (/ -4 z)) -2) (- y x) (/ -4 z) (/ (* 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))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y)) |
| 2.0ms | x | @ | 0 | ((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- y x) (/ -4 z)) -2) (- y x) (/ -4 z) (/ (* 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))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y)) |
| 2.0ms | x | @ | -inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- y x) (/ -4 z)) -2) (- y x) (/ -4 z) (/ (* 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))) (* (+ (* 1/2 z) y) -4) (+ (* 1/2 z) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 582 |
| 1 | 511 | 544 |
| 2 | 1614 | 515 |
| 3 | 5616 | 515 |
| 0 | 8211 | 471 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(- (* -4 (/ y z)) 2) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
y |
(+ y (* -1 x)) |
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(* 4 x) |
-2 |
(- (* 4 (/ x z)) 2) |
(* 4 (/ x z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(- y x) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(* -2 z) |
(+ (* -4 y) (* -2 z)) |
(* 1/2 z) |
(+ y (* 1/2 z)) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -4 y) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* y (- (* -2 (/ z y)) 4)) |
(* y (+ 1 (* 1/2 (/ z y)))) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 4 (* 2 (/ z y))))) |
(* -1 (* y (- (* -1/2 (/ z y)) 1))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(* -4 (/ (- y x) z)) |
(/ (+ (* -4 (- y x)) (* -2 z)) z) |
(/ -4 z) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(/ (+ (* -2 z) (* 4 x)) z) |
(/ 4 z) |
(- (* 4 (/ (- x y) z)) 2) |
(- (* -4 (/ (- y x) z)) 2) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* z (- (* -4 (/ y z)) 2)) |
(* z (+ 1/2 (/ y z))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(* -1 (* z (+ 2 (* 4 (/ y z))))) |
(* -1 (* z (- (* -1 (/ y z)) 1/2))) |
| 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 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64)) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(* -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 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64)) |
(* 4 x) |
(*.f64 x #s(literal 4 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ x z)) 2) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(* 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 (- (+ (* -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) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 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 (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) z)) 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 (/ (- (* -4 (/ y z)) 2) 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 (* -1 (/ y x))))) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 4 binary64)) #s(literal 4 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) z)) x) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64)) |
(- y x) |
(-.f64 y x) |
(* 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 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64)) |
(* -2 z) |
(*.f64 #s(literal -2 binary64) z) |
(+ (* -4 y) (* -2 z)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(+ y (* 1/2 z)) |
(fma.f64 #s(literal 1/2 binary64) z 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 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y) |
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(*.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) |
(* y (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(* -4 y) |
(*.f64 #s(literal -4 binary64) 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) |
(* y (- (* -2 (/ z y)) 4)) |
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) z) #s(literal 4 binary64)) y) |
(* y (+ 1 (* 1/2 (/ z y)))) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(* -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 (+ (* -1 (/ (- (* 4 (/ x z)) 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 (- (/ x y) 1))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 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 (+ 4 (* 2 (/ z y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) z #s(literal -4 binary64)) y) |
(* -1 (* y (- (* -1/2 (/ z y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) #s(literal 1 binary64))) |
(* 4 (/ (- x y) z)) |
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64)) |
(* -4 (/ (- y x) z)) |
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) |
(/ (+ (* -4 (- y x)) (* -2 z)) z) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #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 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64)) |
(/ (+ (* -2 z) (* 4 x)) z) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(/ 4 z) |
(/.f64 #s(literal 4 binary64) z) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64)) |
(- (* -4 (/ (- y x) z)) 2) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64)) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64)) z) |
(* z (- (* -4 (/ y z)) 2)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)) |
(* z (+ 1/2 (/ y z))) |
(fma.f64 #s(literal 1/2 binary64) z y) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64)) z) |
(* -1 (* z (+ 2 (* 4 (/ y z))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)) |
(* -1 (* z (- (* -1 (/ y z)) 1/2))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 y) z) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 149 |
| 0 | 40 | 142 |
| 1 | 141 | 142 |
| 2 | 939 | 142 |
| 0 | 8463 | 142 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) |
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(-.f64 y x) |
(/.f64 #s(literal -4 binary64) 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) |
#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 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)) |
(fma.f64 #s(literal 1/2 binary64) z y) |
| Outputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal -2 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal -2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 8 binary64)) z)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 8 binary64)) z)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal -8 binary64) (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 8 binary64)) z)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 8 binary64)) z)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 8 binary64)) z)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal 8 binary64)) z)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 y x)) #s(literal 2 binary64)))))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -4 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (neg.f64 y))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (neg.f64 y))) #s(literal -4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) |
(/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (neg.f64 y)))) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) |
(/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))) |
(/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1/2 binary64) (*.f64 #s(literal -4 binary64) y)) |
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) #s(literal -4 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) #s(literal -4 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal -4 binary64) (*.f64 y #s(literal -4 binary64))) |
(fma.f64 #s(literal -2 binary64) z (*.f64 #s(literal -4 binary64) y)) |
(fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))))) |
(fma.f64 #s(literal -4 binary64) (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal -4 binary64) y)) |
(fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal -2 binary64) z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -4 binary64)) (*.f64 y #s(literal -4 binary64))) |
(fma.f64 z #s(literal -2 binary64) (*.f64 y #s(literal -4 binary64))) |
(fma.f64 y #s(literal -4 binary64) (*.f64 z #s(literal -2 binary64))) |
(-.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 (neg.f64 y) #s(literal -4 binary64))) |
(-.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal -4 binary64))) |
(-.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal 4 binary64) y)) |
(-.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) z))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) #s(literal -4 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) #s(literal -4 binary64))) |
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))))) |
(+.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal -4 binary64))) |
(+.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 z #s(literal -2 binary64))) |
(+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal -4 binary64) y)) |
(+.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))))))) |
(/.f64 (neg.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (*.f64 z z)))) (neg.f64 (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (*.f64 y y))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))) |
(/.f64 (neg.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 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))) |
(/.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) (-.f64 y (*.f64 #s(literal 1/2 binary64) z))) |
(/.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (*.f64 y y)) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(/.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 (fma.f64 y y (*.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))))) |
(/.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 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (neg.f64 y))) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (*.f64 #s(literal -1/2 binary64) z))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (neg.f64 y))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))))) |
(fma.f64 #s(literal 1/2 binary64) z y) |
(fma.f64 z #s(literal 1/2 binary64) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 #s(literal 1/2 binary64) z))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(-.f64 y (*.f64 #s(literal -1/2 binary64) z)) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) z)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 #s(literal 1/2 binary64) z) y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) z) y) |
(+.f64 y (*.f64 #s(literal -1/2 binary64) (neg.f64 z))) |
(+.f64 y (*.f64 #s(literal 1/2 binary64) z)) |
Compiled 8 378 to 1 000 computations (88.1% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 220 | 2 | 222 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 223 | 9 | 232 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 73.7% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z) |
| ▶ | 64.4% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) |
| ✓ | 27.9% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
| ▶ | 40.1% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
| ▶ | 62.0% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
| ▶ | 73.6% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
| ✓ | 99.8% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) |
| ▶ | 94.9% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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)) |
| ✓ | 35.2% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
Compiled 254 to 210 computations (17.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 (-.f64 x y) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) | |
| 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))) | |
| 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 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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)) | |
| cost-diff | 1 | (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) | |
| cost-diff | 5 | (*.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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 216 |
| 0 | 46 | 216 |
| 1 | 72 | 216 |
| 2 | 133 | 216 |
| 3 | 274 | 210 |
| 4 | 616 | 208 |
| 5 | 1057 | 200 |
| 6 | 1737 | 200 |
| 7 | 4977 | 200 |
| 0 | 8193 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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)) |
(*.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) |
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) |
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) |
(-.f64 (/.f64 x z) #s(literal 1/2 binary64)) |
(/.f64 x z) |
x |
z |
#s(literal 1/2 binary64) |
y |
#s(literal 4 binary64) |
(/.f64 #s(literal -4 binary64) z) |
#s(literal -4 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 (/.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) |
#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 x z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(/.f64 x z) |
x |
z |
#s(literal 4 binary64) |
#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))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(-.f64 x y) |
x |
y |
#s(literal 4 binary64) |
z |
| Outputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))) |
(*.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) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z x) (/.f64 #s(literal 4 binary64) y) #s(literal -4 binary64)) z) |
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) |
(-.f64 (/.f64 x z) #s(literal 1/2 binary64)) |
(/.f64 x z) |
x |
z |
#s(literal 1/2 binary64) |
y |
#s(literal 4 binary64) |
(/.f64 #s(literal -4 binary64) z) |
#s(literal -4 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 (/.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) |
#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 x z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(/.f64 x z) |
x |
z |
#s(literal 4 binary64) |
#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))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(-.f64 x y) |
x |
y |
#s(literal 4 binary64) |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (*.f64 (-.f64 x y) #s(literal 4 binary64)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) | |
| accuracy | 22.946559012276566 | #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) | |
| accuracy | 0.0 | (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 24.315270779242184 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal -4 binary64) z) | |
| accuracy | 0.14453125 | (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) | |
| accuracy | 16.804348293402136 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #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 | 38.88812518093397 | #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) | |
| accuracy | 0.0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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)) | |
| accuracy | 0.0078125 | (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) | |
| accuracy | 2.552013369597315 | (*.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) | |
| accuracy | 3.13299234888748 | (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) |
| 51.0ms | 256× | 0 | valid |
Compiled 173 to 27 computations (84.4% saved)
ival-mult: 14.0ms (40.7% of total)ival-add: 9.0ms (26.2% of total)ival-div: 7.0ms (20.4% of total)ival-sub: 4.0ms (11.6% of total)exact: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.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) |
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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)) |
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) |
(/.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 (/.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(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(/.f64 x z) |
(/.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))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(-.f64 x y) |
| Outputs |
|---|
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(+ (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) (* 4 (/ x z))) |
(* -1 (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(/ -1/2 y) |
(- (/ x (* y z)) (* 1/2 (/ 1 y))) |
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
-2 |
(- (* 4 (/ x z)) 2) |
(/ x z) |
(* -4 y) |
(+ (* -4 y) (* 4 x)) |
(* -1 y) |
(- x y) |
(* 4 (/ x z)) |
(* x (+ (* -1 (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x)) (* 4 (/ 1 z)))) |
(* 4 (/ x (* y z))) |
(* x (+ (* -1 (/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))) x)) (* 4 (/ 1 (* y z))))) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(/ x (* y z)) |
(* x (- (/ 1 (* y z)) (* 1/2 (/ 1 (* x y))))) |
(* 4 x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(* x (+ 4 (* -4 (/ y x)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (* x (- (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x) (* 4 (/ 1 z))))) |
(* -1 (* x (- (+ (/ 2 (* x y)) (/ 4 (* x z))) (* 4 (/ 1 (* y z)))))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 1/2 (/ 1 (* x y))) (/ 1 (* y z))))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ y x)) 4))) |
(* -1 (* x (- (/ y x) 1))) |
(* 4 (- (/ x z) 1/2)) |
(+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) |
(* 4 (/ (- (/ x z) 1/2) y)) |
(/ (+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) y) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(/ (- (/ x z) 1/2) y) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(- (* -4 (/ y z)) 2) |
(+ x (* -1 y)) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(/ -4 z) |
(- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* y (- (* 4 (/ x y)) 4)) |
(* y (- (/ x y) 1)) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 4 (* -4 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(/ (* y (- (* 4 (/ x y)) 4)) z) |
(/ (+ (* -2 z) (* y (- (* 4 (/ x y)) 4))) z) |
(/ (- (* 4 (/ x y)) 4) z) |
(/ (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4) z) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/ (+ (* -1/2 (/ z y)) (/ x y)) z) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(/ (+ (* -4 y) (* -2 z)) z) |
(/ (+ (* -2 z) (* 4 x)) z) |
(- (/ (* y (- (* 4 (/ x y)) 4)) z) 2) |
(/ -2 y) |
(- (* 4 (/ (- x y) z)) 2) |
(* -2 z) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(- (* -1 (/ (* y (+ 4 (* -4 (/ x y)))) z)) 2) |
(- (* -1 (/ (+ 4 (* -4 (/ x y))) z)) (* 2 (/ 1 y))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | inf | ((* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (- (/ x z) 1/2) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y)) |
| 3.0ms | x | @ | -inf | ((* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (- (/ x z) 1/2) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y)) |
| 2.0ms | y | @ | -inf | ((* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (- (/ x z) 1/2) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y)) |
| 2.0ms | y | @ | inf | ((* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (- (/ x z) 1/2) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y)) |
| 2.0ms | y | @ | 0 | ((* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (- (/ x z) 1/2) y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- x y) 4) (- x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 806 |
| 1 | 592 | 752 |
| 2 | 1898 | 667 |
| 3 | 7275 | 667 |
| 0 | 8127 | 616 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(+ (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) (* 4 (/ x z))) |
(* -1 (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(/ -1/2 y) |
(- (/ x (* y z)) (* 1/2 (/ 1 y))) |
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
-2 |
(- (* 4 (/ x z)) 2) |
(/ x z) |
(* -4 y) |
(+ (* -4 y) (* 4 x)) |
(* -1 y) |
(- x y) |
(* 4 (/ x z)) |
(* x (+ (* -1 (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x)) (* 4 (/ 1 z)))) |
(* 4 (/ x (* y z))) |
(* x (+ (* -1 (/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))) x)) (* 4 (/ 1 (* y z))))) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(/ x (* y z)) |
(* x (- (/ 1 (* y z)) (* 1/2 (/ 1 (* x y))))) |
(* 4 x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(* x (+ 4 (* -4 (/ y x)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (* x (- (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x) (* 4 (/ 1 z))))) |
(* -1 (* x (- (+ (/ 2 (* x y)) (/ 4 (* x z))) (* 4 (/ 1 (* y z)))))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 1/2 (/ 1 (* x y))) (/ 1 (* y z))))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ y x)) 4))) |
(* -1 (* x (- (/ y x) 1))) |
(* 4 (- (/ x z) 1/2)) |
(+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) |
(* 4 (/ (- (/ x z) 1/2) y)) |
(/ (+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) y) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(/ (- (/ x z) 1/2) y) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(- (* -4 (/ y z)) 2) |
(+ x (* -1 y)) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(/ -4 z) |
(- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* y (- (* 4 (/ x y)) 4)) |
(* y (- (/ x y) 1)) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 4 (* -4 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(/ (* y (- (* 4 (/ x y)) 4)) z) |
(/ (+ (* -2 z) (* y (- (* 4 (/ x y)) 4))) z) |
(/ (- (* 4 (/ x y)) 4) z) |
(/ (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4) z) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/ (+ (* -1/2 (/ z y)) (/ x y)) z) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(/ (+ (* -4 y) (* -2 z)) z) |
(/ (+ (* -2 z) (* 4 x)) z) |
(- (/ (* y (- (* 4 (/ x y)) 4)) z) 2) |
(/ -2 y) |
(- (* 4 (/ (- x y) z)) 2) |
(* -2 z) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(- (* -1 (/ (* y (+ 4 (* -4 (/ x y)))) z)) 2) |
(- (* -1 (/ (+ 4 (* -4 (/ x y))) z)) (* 2 (/ 1 y))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
| Outputs |
|---|
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(+ (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) (* 4 (/ x z))) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(* -1 (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(-.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 4 binary64) z)) |
(- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) |
(* -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)) |
(/ -1/2 y) |
(/.f64 #s(literal -1/2 binary64) y) |
(- (/ x (* y z)) (* 1/2 (/ 1 y))) |
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ x z)) 2) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(/ x z) |
(/.f64 x z) |
(* -4 y) |
(*.f64 #s(literal -4 binary64) y) |
(+ (* -4 y) (* 4 x)) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(* 4 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 4 binary64)) |
(* x (+ (* -1 (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 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) |
(* 4 (/ x (* y z))) |
(*.f64 (/.f64 (/.f64 x z) y) #s(literal 4 binary64)) |
(* x (+ (* -1 (/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))) x)) (* 4 (/ 1 (* y z))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) y) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -2 binary64) y)) x)) x) |
(* 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 (* y z)) |
(/.f64 (/.f64 x z) y) |
(* x (- (/ 1 (* y z)) (* 1/2 (/ 1 (* x y))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) x (/.f64 x z)) y) |
(* 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 (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) z)) x) |
(* x (+ 4 (* -4 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 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 (- (+ (/ 2 (* x y)) (/ 4 (* x z))) (* 4 (/ 1 (* y z)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) y) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -2 binary64) 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 (/ 1 (* x y))) (/ 1 (* y z))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) z) y))) |
(* -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))))) |
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) z)) x) |
(* -1 (* x (- (* 4 (/ y x)) 4))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 4 binary64))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(* 4 (- (/ x z) 1/2)) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(* 4 (/ (- (/ x z) 1/2) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) y) |
(/ (+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) y) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #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)) |
(/ (- (/ x z) 1/2) y) |
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64)) |
(- (* -4 (/ y z)) 2) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(+ 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 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y) |
(/ -4 z) |
(/.f64 #s(literal -4 binary64) z) |
(- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))) |
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) |
(* 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) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(* y (- (* 4 (/ x y)) 4)) |
(*.f64 (-.f64 (*.f64 (/.f64 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 (/.f64 x z) #s(literal 1/2 binary64)) 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 (+ 4 (* -4 (/ x y))))) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(/ (* y (- (* 4 (/ x y)) 4)) z) |
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) |
(/ (+ (* -2 z) (* y (- (* 4 (/ x y)) 4))) z) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(/ (- (* 4 (/ x y)) 4) z) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) |
(/ (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4) z) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal -1/2 binary64) z x) #s(literal -4 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)) |
(/ (+ (* -1/2 (/ z y)) (/ x y)) z) |
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) |
(* 4 (- x y)) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(+ (* -2 z) (* 4 (- x y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64)) |
(/ (+ (* -4 y) (* -2 z)) z) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(/ (+ (* -2 z) (* 4 x)) z) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(- (/ (* y (- (* 4 (/ x y)) 4)) z) 2) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(- (* 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 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64)) |
(- (* -1 (/ (* y (+ 4 (* -4 (/ x y)))) z)) 2) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(- (* -1 (/ (+ 4 (* -4 (/ x y))) z)) (* 2 (/ 1 y))) |
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 184 |
| 0 | 46 | 184 |
| 1 | 159 | 184 |
| 2 | 1108 | 184 |
| 0 | 8317 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) |
(fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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)) |
(/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) |
(/.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 (/.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(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(/.f64 x z) |
(/.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))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(-.f64 x y) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -4 binary64) z)) y) |
(*.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) (/.f64 #s(literal -4 binary64) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y)) (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) (*.f64 (/.f64 #s(literal -4 binary64) z) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)))) (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (-.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) (*.f64 (/.f64 #s(literal -4 binary64) z) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y))) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))))) (-.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y)) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) y))))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))) (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)))) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) (*.f64 y (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) y)) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) (/.f64 #s(literal -4 binary64) z)))) |
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(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y)) (/.f64 #s(literal -4 binary64) z)))) |
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(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y 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 y (+.f64 y x) (*.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 y (+.f64 y x) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y 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 y (+.f64 y x) (*.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 y (+.f64 y x) (*.f64 x x))) |
(neg.f64 (neg.f64 (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(-.f64 x y) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
Compiled 12 692 to 1 384 computations (89.1% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 306 | 4 | 310 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 308 | 11 | 319 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 64.4% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) |
| ✓ | 27.9% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
| ✓ | 40.1% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
| ✓ | 62.0% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
| ✓ | 73.6% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
| ✓ | 99.8% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) |
| ▶ | 73.7% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) |
| ▶ | 59.2% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y)) |
| ▶ | 35.1% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) |
| ▶ | 39.9% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
| ✓ | 35.2% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
Compiled 232 to 182 computations (21.6% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y) | |
| cost-diff | 0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y)) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) y) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y) | |
| cost-diff | 0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) | |
| cost-diff | 0 | (/.f64 #s(literal -4 binary64) z) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y) | |
| cost-diff | 0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 280 |
| 0 | 47 | 280 |
| 1 | 76 | 280 |
| 2 | 140 | 280 |
| 3 | 268 | 272 |
| 4 | 568 | 272 |
| 5 | 1017 | 272 |
| 6 | 1362 | 263 |
| 7 | 1812 | 263 |
| 8 | 2554 | 263 |
| 9 | 3824 | 263 |
| 10 | 5368 | 263 |
| 11 | 7308 | 263 |
| 0 | 8313 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y) |
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) |
(/.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
y |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) |
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y) |
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) |
(/.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y)) |
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y) |
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
x |
#s(literal -4 binary64) |
z |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
#s(literal -4 binary64) |
(/.f64 y z) |
y |
z |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y) |
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) |
(/.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
y |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) |
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y) |
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) |
(/.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y)) |
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y) |
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
x |
#s(literal -4 binary64) |
z |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #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 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) |
#s(literal -4 binary64) |
(/.f64 y z) |
y |
z |
#s(literal -2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) | |
| accuracy | 16.804348293402136 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) | |
| accuracy | 0.08984375 | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) | |
| accuracy | 1.977309876548007 | (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) | |
| accuracy | 2.552013369597315 | (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y) | |
| accuracy | 22.80111664925451 | #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) | |
| accuracy | 0.0 | (/.f64 #s(literal -2 binary64) y) | |
| accuracy | 0.0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) | |
| accuracy | 2.552013369597315 | (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y) | |
| accuracy | 41.344877640222265 | #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) | |
| accuracy | 0.0 | (/.f64 #s(literal -4 binary64) z) | |
| accuracy | 0.0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) | |
| accuracy | 2.552013369597315 | (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y) | |
| accuracy | 38.78466190432989 | #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) |
| 57.0ms | 256× | 0 | valid |
Compiled 179 to 29 computations (83.8% saved)
ival-mult: 22.0ms (51.2% of total)ival-div: 13.0ms (30.2% of total)ival-sub: 4.0ms (9.3% of total)ival-add: 3.0ms (7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y) |
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) |
(/.f64 #s(literal -4 binary64) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) |
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y) |
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) |
(/.f64 #s(literal -2 binary64) y) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y)) |
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y) |
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(/.f64 y z) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) |
| Outputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(+ (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) (* 4 (/ x z))) |
(* -1 (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(/ -4 z) |
(- (* 4 (/ x (* y z))) (* 4 (/ 1 z))) |
-4 |
(- (* 4 (/ x y)) 4) |
(* 4 (/ x z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* x (+ (* -1 (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x)) (* 4 (/ 1 z)))) |
(* 4 (/ x (* y z))) |
(* x (+ (* -1 (/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))) x)) (* 4 (/ 1 (* y z))))) |
(* x (- (* 4 (/ 1 (* y z))) (* 4 (/ 1 (* x z))))) |
(* 4 (/ x y)) |
(* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x) (* 4 (/ 1 z))))) |
(* -1 (* x (- (+ (/ 2 (* x y)) (/ 4 (* x z))) (* 4 (/ 1 (* y z)))))) |
(* -1 (* x (- (* 4 (/ 1 (* x z))) (* 4 (/ 1 (* y z)))))) |
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(* 4 (- (/ x z) 1/2)) |
(+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) |
(* 4 (/ (- (/ x z) 1/2) y)) |
(/ (+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) y) |
(/ -2 y) |
(/ (+ (* -4 (/ y z)) (* 4 (/ x z))) y) |
-2 |
(- (* -4 (/ y z)) 2) |
(/ y z) |
(/ (+ (* -4 y) (* 4 x)) y) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/ (* y (- (* 4 (/ x y)) 4)) z) |
(/ (+ (* -2 z) (* y (- (* 4 (/ x y)) 4))) z) |
(/ (- (* 4 (/ x y)) 4) z) |
(/ (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4) z) |
(/ (+ (* -4 y) (* -2 z)) z) |
(- (* 4 (/ (- x y) z)) 2) |
(- (/ (* y (- (* 4 (/ x y)) 4)) z) 2) |
(- (* -1 (/ (* y (+ 4 (* -4 (/ x y)))) z)) 2) |
(- (* -1 (/ (+ 4 (* -4 (/ x y))) z)) (* 2 (/ 1 y))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | 0 | ((/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -2 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (+ (* (/ 4 y) x) -4) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (+ (* (/ 4 y) x) -4)) |
| 2.0ms | y | @ | -inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -2 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (+ (* (/ 4 y) x) -4) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (+ (* (/ 4 y) x) -4)) |
| 2.0ms | z | @ | -inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -2 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (+ (* (/ 4 y) x) -4) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (+ (* (/ 4 y) x) -4)) |
| 2.0ms | y | @ | inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -2 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (+ (* (/ 4 y) x) -4) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (+ (* (/ 4 y) x) -4)) |
| 2.0ms | y | @ | 0 | ((/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ -2 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) y) (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/ (+ (* (/ 4 y) x) -4) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* -4 (/ y z)) -2) (/ y z) (+ (* (/ 4 y) x) -4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 562 |
| 1 | 431 | 525 |
| 2 | 1376 | 451 |
| 3 | 5019 | 451 |
| 0 | 8415 | 414 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(+ (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) (* 4 (/ x z))) |
(* -1 (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(/ -4 z) |
(- (* 4 (/ x (* y z))) (* 4 (/ 1 z))) |
-4 |
(- (* 4 (/ x y)) 4) |
(* 4 (/ x z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* x (+ (* -1 (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x)) (* 4 (/ 1 z)))) |
(* 4 (/ x (* y z))) |
(* x (+ (* -1 (/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))) x)) (* 4 (/ 1 (* y z))))) |
(* x (- (* 4 (/ 1 (* y z))) (* 4 (/ 1 (* x z))))) |
(* 4 (/ x y)) |
(* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x) (* 4 (/ 1 z))))) |
(* -1 (* x (- (+ (/ 2 (* x y)) (/ 4 (* x z))) (* 4 (/ 1 (* y z)))))) |
(* -1 (* x (- (* 4 (/ 1 (* x z))) (* 4 (/ 1 (* y z)))))) |
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(* 4 (- (/ x z) 1/2)) |
(+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) |
(* 4 (/ (- (/ x z) 1/2) y)) |
(/ (+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) y) |
(/ -2 y) |
(/ (+ (* -4 (/ y z)) (* 4 (/ x z))) y) |
-2 |
(- (* -4 (/ y z)) 2) |
(/ y z) |
(/ (+ (* -4 y) (* 4 x)) y) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/ (* y (- (* 4 (/ x y)) 4)) z) |
(/ (+ (* -2 z) (* y (- (* 4 (/ x y)) 4))) z) |
(/ (- (* 4 (/ x y)) 4) z) |
(/ (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4) z) |
(/ (+ (* -4 y) (* -2 z)) z) |
(- (* 4 (/ (- x y) z)) 2) |
(- (/ (* y (- (* 4 (/ x y)) 4)) z) 2) |
(- (* -1 (/ (* y (+ 4 (* -4 (/ x y)))) z)) 2) |
(- (* -1 (/ (+ 4 (* -4 (/ x y))) z)) (* 2 (/ 1 y))) |
| 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 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(+ (* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) (* 4 (/ x z))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* -1 (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(-.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 4 binary64) z)) |
(- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) y) |
(/ -4 z) |
(/.f64 #s(literal -4 binary64) z) |
(- (* 4 (/ x (* y z))) (* 4 (/ 1 z))) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z) |
-4 |
#s(literal -4 binary64) |
(- (* 4 (/ x y)) 4) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) |
(* 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 #s(literal -4 binary64) x) (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 4 binary64)) z) x) |
(* x (+ (* -1 (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x)) (* 4 (/ 1 z)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 4 binary64)) z) x) |
(* 4 (/ x (* y z))) |
(*.f64 (/.f64 (/.f64 x z) y) #s(literal 4 binary64)) |
(* x (+ (* -1 (/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))) x)) (* 4 (/ 1 (* y z))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) y) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -4 binary64) z)) x)) x) |
(* x (- (* 4 (/ 1 (* y z))) (* 4 (/ 1 (* x z))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 #s(literal -4 binary64) y)) x) z) |
(* 4 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 #s(literal -4 binary64) y)) x) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 4 binary64)) z) x) |
(* -1 (* x (- (/ (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))) x) (* 4 (/ 1 z))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 4 binary64)) z) x) |
(* -1 (* x (- (+ (/ 2 (* x y)) (/ 4 (* x z))) (* 4 (/ 1 (* y z)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) y) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -4 binary64) z)) x)) x) |
(* -1 (* x (- (* 4 (/ 1 (* x z))) (* 4 (/ 1 (* y z)))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 #s(literal -4 binary64) y)) x) z) |
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 #s(literal -4 binary64) y)) 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 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* 4 (- (/ x z) 1/2)) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(* 4 (/ (- (/ x z) 1/2) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) y) |
(/ (+ (* -4 (/ y z)) (* 4 (- (/ x z) 1/2))) y) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) y) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(/ (+ (* -4 (/ y z)) (* 4 (/ x z))) y) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z) |
-2 |
#s(literal -2 binary64) |
(- (* -4 (/ y z)) 2) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(/ y z) |
(/.f64 y z) |
(/ (+ (* -4 y) (* 4 x)) y) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) |
(* -4 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -4 binary64)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) y) y) |
(- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) y) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) y) y) |
(* 4 (/ (- x y) z)) |
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(/ (* y (- (* 4 (/ x y)) 4)) z) |
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) |
(/ (+ (* -2 z) (* y (- (* 4 (/ x y)) 4))) z) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(/ (- (* 4 (/ x y)) 4) z) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z) |
(/ (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4) z) |
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z x) #s(literal 4 binary64)) y)) z) |
(/ (+ (* -4 y) (* -2 z)) z) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(- (/ (* y (- (* 4 (/ x y)) 4)) z) 2) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(- (* -1 (/ (* y (+ 4 (* -4 (/ x y)))) z)) 2) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) |
(- (* -1 (/ (+ 4 (* -4 (/ x y))) z)) (* 2 (/ 1 y))) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 263 |
| 0 | 47 | 263 |
| 1 | 171 | 263 |
| 2 | 1153 | 263 |
| 0 | 8325 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y) |
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) |
(/.f64 #s(literal -4 binary64) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) |
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y) |
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) |
(/.f64 #s(literal -2 binary64) y) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y)) |
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y) |
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(/.f64 y z) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) |
| Outputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y) |
(*.f64 y #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z))) |
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) |
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal -4 binary64) z) |
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 #s(literal 4 binary64) (neg.f64 z)) |
(neg.f64 (/.f64 #s(literal 4 binary64) z)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) |
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y) |
(*.f64 y #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y))) |
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 #s(literal 2 binary64) (neg.f64 y)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -2 binary64) y) |
(neg.f64 (/.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y)) |
(*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y) |
(*.f64 y #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z))) |
#s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -4 binary64) z) (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) z) (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) z) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)) z))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (neg.f64 z)))) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 8 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal -8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y z) #s(literal -4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 y z) #s(literal -4 binary64)) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 8 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64))))) |
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) |
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 y z) #s(literal -4 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 y z) #s(literal -4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) #s(literal -4 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 y z) #s(literal -4 binary64)) #s(literal -2 binary64)))) |
(-.f64 #s(literal -2 binary64) (*.f64 (/.f64 (neg.f64 y) z) #s(literal -4 binary64))) |
(-.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (neg.f64 z)) #s(literal -4 binary64))) |
(-.f64 #s(literal -2 binary64) (*.f64 (/.f64 y z) #s(literal 4 binary64))) |
(+.f64 (/.f64 #s(literal -8 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 8 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) #s(literal -4 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 8 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) #s(literal -4 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 8 binary64))))) (/.f64 #s(literal -8 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 8 binary64)))))) |
(+.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) #s(literal 8 binary64)))))) |
(+.f64 (*.f64 (/.f64 y z) #s(literal -4 binary64)) #s(literal -2 binary64)) |
(+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (neg.f64 (/.f64 y z))) #s(literal -4 binary64))) |
(+.f64 #s(literal -2 binary64) (*.f64 (/.f64 y z) #s(literal -4 binary64))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(neg.f64 (/.f64 y (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))))) |
(/.f64 (-.f64 #s(literal -64 binary64) (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 x y)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -64 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)) #s(literal 16 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))) #s(literal -64 binary64))) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))))) |
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))) (-.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) #s(literal 16 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -64 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -64 binary64)) (+.f64 #s(literal 16 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) |
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -4 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)) |
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))) |
(-.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -4 binary64) y) x)) |
(-.f64 #s(literal -4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 x y))) |
(+.f64 (/.f64 #s(literal -64 binary64) (+.f64 #s(literal 16 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 16 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 16 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))) (/.f64 #s(literal -64 binary64) (+.f64 #s(literal 16 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))) |
(+.f64 (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64))))) (/.f64 #s(literal -64 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal -4 binary64)) |
(+.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 4 binary64) y))) x)) |
(+.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 4 binary64) y))) |
(+.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
Compiled 8 098 to 915 computations (88.7% saved)
11 alts after pruning (0 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 0 | 177 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 7 | 7 |
| Total | 177 | 11 | 188 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 64.4% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) |
| ✓ | 27.9% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
| ✓ | 40.1% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
| ✓ | 62.0% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
| ✓ | 73.6% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
| ✓ | 99.8% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) |
| ✓ | 73.7% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) |
| ✓ | 59.2% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y)) |
| ✓ | 35.1% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) |
| ✓ | 39.9% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
| ✓ | 35.2% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
Compiled 586 to 267 computations (54.4% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) |
(/.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 y 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))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #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 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z)) y)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y)) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
5 calls:
| 23.0ms | x |
| 5.0ms | z |
| 5.0ms | y |
| 5.0ms | (-.f64 x 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 | (-.f64 x y) |
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
Compiled 17 to 23 computations (-35.3% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) |
(/.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 y 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))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #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 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))) z) |
| Outputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) |
5 calls:
| 15.0ms | x |
| 4.0ms | z |
| 4.0ms | (-.f64 x y) |
| 4.0ms | y |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (-.f64 x y) |
| 99.8% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 17 to 23 computations (-35.3% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) |
(/.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 y 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))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) 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 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) |
5 calls:
| 32.0ms | y |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | (-.f64 x y) |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 3 | (-.f64 x y) |
| 98.2% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 89.7% | 3 | x |
| 88.5% | 3 | y |
| 88.7% | 3 | z |
Compiled 17 to 23 computations (-35.3% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) |
(/.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 y 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))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
| Outputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #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))) |
2 calls:
| 26.0ms | x |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 3 | x |
| 73.7% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
Compiled 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) |
(/.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 y 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 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y 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))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 3 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) |
(/.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 y 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))) |
| Outputs |
|---|
(/.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 y z) #s(literal -2 binary64))) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
4 calls:
| 3.0ms | x |
| 3.0ms | z |
| 2.0ms | (-.f64 x y) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.7% | 1 | (-.f64 x y) |
| 73.7% | 1 | y |
| 73.7% | 1 | z |
| 84.7% | 3 | x |
Compiled 6 to 13 computations (-116.7% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) |
(/.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) 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) |
5 calls:
| 21.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (-.f64 x y) |
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.2% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 56.3% | 3 | (-.f64 x y) |
| 60.9% | 4 | y |
| 61.8% | 3 | z |
| 62.2% | 6 | x |
Compiled 17 to 23 computations (-35.3% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -2 binary64) y)) y)) |
| Outputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) |
1 calls:
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.1% | 3 | (/.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)
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 | z |
| 1.0ms | (-.f64 x y) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.2% | 1 | (-.f64 x y) |
| 35.2% | 1 | x |
| 35.2% | 1 | y |
| 35.2% | 1 | z |
| 35.2% | 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 | 998384238757.3483 | 1.961564454931781e+19 |
| 0.0ms | -245544489963.23236 | -260309.36576687044 |
Compiled 14 to 16 computations (-14.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 8.166274184701676e+30 | 4.593716767651662e+53 |
| 32.0ms | -4.7391060850562864e+116 | -8.879834626679647e+112 |
| 36.0ms | 304× | 0 | valid |
Compiled 698 to 624 computations (10.6% saved)
ival-mult: 4.0ms (41.6% of total)ival-sub: 3.0ms (31.2% of total)ival-div: 2.0ms (20.8% of total)exact: 1.0ms (10.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.166274184701676e+30 | 4.593716767651662e+53 |
| 1.0ms | -4.7391060850562864e+116 | -8.879834626679647e+112 |
Compiled 698 to 624 computations (10.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 56.0ms | 3.299073714394223e+66 | 3.2291268744125603e+69 |
| 9.0ms | -9.434550333070092e+149 | -8.657983808607311e+148 |
| 13.0ms | 224× | 0 | valid |
Compiled 476 to 436 computations (8.4% saved)
ival-mult: 3.0ms (41.7% of total)ival-sub: 2.0ms (27.8% of total)ival-div: 2.0ms (27.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.3350289366426564 | 2.2202780410077394 |
| 0.0ms | -245544489963.23236 | -260309.36576687044 |
Compiled 14 to 16 computations (-14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.3350289366426564 | 2.2202780410077394 |
| 0.0ms | -245544489963.23236 | -260309.36576687044 |
Compiled 14 to 16 computations (-14.3% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 370 |
| 1 | 114 | 370 |
| 2 | 172 | 370 |
| 3 | 275 | 370 |
| 4 | 481 | 348 |
| 5 | 926 | 348 |
| 6 | 1832 | 348 |
| 7 | 4470 | 348 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) 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 -200000000000 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 1000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #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 -2400000000000000037342598710720423258243683352610547440087449393034001074795413687835964935796113874422895074082816 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 61999999999999998499701071235176787806282686922752 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #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))))) |
(if (<=.f64 x #s(literal -2400000000000000037342598710720423258243683352610547440087449393034001074795413687835964935796113874422895074082816 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 61999999999999998499701071235176787806282686922752 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y 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))))) |
(if (<=.f64 x #s(literal -329999999999999999127037169121385294009058163790039209372394592505738489138390426236973089493837405094124560241064823501106032716295107804426525474816 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 3199999999999999848976711204421337814120041323291574352973491951632384 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y 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 -200000000000 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 (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) (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)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)))) |
#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) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) 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 -200000000000 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 1000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #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 -200000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 1000000000000 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 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) |
(if (<=.f64 x #s(literal -2400000000000000037342598710720423258243683352610547440087449393034001074795413687835964935796113874422895074082816 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (if (<=.f64 x #s(literal 61999999999999998499701071235176787806282686922752 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #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))))) |
(if (or (<=.f64 x #s(literal -2400000000000000037342598710720423258243683352610547440087449393034001074795413687835964935796113874422895074082816 binary64)) (not (<=.f64 x #s(literal 61999999999999998499701071235176787806282686922752 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))) |
(if (<=.f64 x #s(literal -2400000000000000037342598710720423258243683352610547440087449393034001074795413687835964935796113874422895074082816 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 61999999999999998499701071235176787806282686922752 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y 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))))) |
(if (or (<=.f64 x #s(literal -2400000000000000037342598710720423258243683352610547440087449393034001074795413687835964935796113874422895074082816 binary64)) (not (<=.f64 x #s(literal 61999999999999998499701071235176787806282686922752 binary64)))) #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 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))) |
(if (<=.f64 x #s(literal -329999999999999999127037169121385294009058163790039209372394592505738489138390426236973089493837405094124560241064823501106032716295107804426525474816 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 3199999999999999848976711204421337814120041323291574352973491951632384 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z))) |
(if (or (<=.f64 x #s(literal -329999999999999999127037169121385294009058163790039209372394592505738489138390426236973089493837405094124560241064823501106032716295107804426525474816 binary64)) (not (<=.f64 x #s(literal 3199999999999999848976711204421337814120041323291574352973491951632384 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))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y 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 -200000000000 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 -200000000000 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))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) (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)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)))) |
(if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000000000 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)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(approx (+ (* (/ (- (/ x z) 1/2) y) 4) (/ -4 z)) (/.f64 #s(literal -4 binary64) z)) y)) #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 | 168 | 582 |
| 1 | 511 | 544 |
| 2 | 1614 | 515 |
| 3 | 5616 | 515 |
| 0 | 8211 | 471 |
| 0 | 193 | 806 |
| 1 | 592 | 752 |
| 2 | 1898 | 667 |
| 3 | 7275 | 667 |
| 0 | 8127 | 616 |
| 0 | 30 | 184 |
| 0 | 46 | 184 |
| 1 | 159 | 184 |
| 2 | 1108 | 184 |
| 0 | 8317 | 177 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 473 to 197 computations (58.4% saved)
Compiled 788 to 202 computations (74.4% saved)
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