
Time bar (total: 5.6s)
| 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)
| 802.0ms | 8 256× | 0 | valid |
ival-div: 210.0ms (43.3% of total)ival-mult: 129.0ms (26.6% of total)ival-sub: 124.0ms (25.5% of total)exact: 10.0ms (2.1% of total)ival-true: 7.0ms (1.4% of total)ival-assert: 4.0ms (0.8% of total)adjust: 2.0ms (0.4% 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 |
| 35.0ms | 512× | 0 | valid |
Compiled 91 to 34 computations (62.6% saved)
ival-mult: 8.0ms (44.3% of total)ival-sub: 5.0ms (27.7% of total)ival-div: 4.0ms (22.1% of total)exact: 1.0ms (5.5% of total)ival-true: 0.0ms (0% of total)adjust: 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 | 0.01171875 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 45.0ms | 256× | 0 | valid |
Compiled 40 to 12 computations (70% saved)
ival-sub: 28.0ms (75.7% of total)ival-mult: 7.0ms (18.9% of total)ival-div: 2.0ms (5.4% of total)ival-true: 0.0ms (0% of total)adjust: 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 | |
|---|---|---|---|---|
| 16.0ms | 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)) |
| 11.0ms | 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 | x | @ | inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2)) |
| 1.0ms | x | @ | 0 | ((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 437 |
| 1 | 408 | 403 |
| 2 | 1361 | 386 |
| 3 | 4687 | 386 |
| 0 | 8202 | 350 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(* -1 (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(* -1 y) |
(- x y) |
(* 4 (/ x z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(* 4 x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (/ y x) 1))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(- x (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(+ x (* -1 y)) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(* -4 y) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* y (- (/ x y) 1)) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(- (+ x (* -1/2 z)) y) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(* 1/2 z) |
-2 |
(- (* 4 (/ (- x y) z)) 2) |
(* -1/2 z) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* -2 z) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
| Outputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(* -1 (+ y (* 1/2 z))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) z y)) |
(- x (+ y (* 1/2 z))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -4 (+ y (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(* 4 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 4 binary64)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)) x) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)) x) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 4 binary64)) #s(literal 4 binary64))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(- x (* 1/2 z)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* 4 (- x (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z x) #s(literal 4 binary64)) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -4 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -4 binary64)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x z)) y) #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) z)) y) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) y (neg.f64 y)) |
(* -4 y) |
(*.f64 #s(literal -4 binary64) y) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x z)) y) #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) z)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) y (neg.f64 y)) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* 4 (/ (- x y) z)) |
(*.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(- (+ x (* -1/2 z)) y) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* 4 (- x y)) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(+ (* -2 z) (* 4 (- x y))) |
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -2 z) |
(*.f64 #s(literal -2 binary64) z) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(-.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 #s(literal 1/2 binary64) z y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 0 | 15 | 33 |
| 1 | 51 | 33 |
| 2 | 386 | 33 |
| 3 | 4958 | 33 |
| 0 | 8884 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) |
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) |
(-.f64 x y) |
(*.f64 z #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) |
(*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (neg.f64 z))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (/.f64 #s(literal 4 binary64) (neg.f64 z))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) z) #s(literal 4 binary64)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (/.f64 #s(literal 4 binary64) z)) |
(*.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) z)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) z)) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z y) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) z)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) z)) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) z)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z y) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) (*.f64 x x)) z)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) z)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) z)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) z)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) z)) |
(/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (neg.f64 z)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64)) z) |
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) z))) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) z) z) #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) z) z))) |
(+.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) z) z) #s(literal 4 binary64))) |
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z)) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) z) z))) |
(+.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) z) #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) z) (/.f64 z (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) (*.f64 (*.f64 #s(literal 1/4 binary64) z) (/.f64 z (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) z) (/.f64 z (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) (*.f64 (*.f64 #s(literal 1/4 binary64) z) (/.f64 z (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z y) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 (-.f64 x y) #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 z (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z y) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 z) (*.f64 #s(literal 1/4 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) z) z (-.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 x y))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y)) (*.f64 #s(literal -1/2 binary64) z)) |
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(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(pow.f64 (-.f64 x y) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y))))) (exp.f64 (log.f64 (neg.f64 (+.f64 y x))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (exp.f64 (log.f64 (+.f64 y x)))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(neg.f64 (neg.f64 (-.f64 x y))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(fma.f64 x (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(-.f64 x y) |
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (-.f64 x y))) |
(+.f64 (cosh.f64 (log.f64 (-.f64 x y))) (sinh.f64 (log.f64 (-.f64 x y)))) |
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 z #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z))) (sinh.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z)))) |
Compiled 5 593 to 942 computations (83.2% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 8 | 210 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 203 | 8 | 211 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.7% | (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) |
| 72.9% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) | |
| ▶ | 43.8% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
| 34.7% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) | |
| ▶ | 100.0% | (+.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z)) |
| ▶ | 70.6% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) |
| 61.0% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) | |
| ▶ | 29.1% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
Compiled 252 to 214 computations (15.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) z x) | |
| cost-diff | 0 | #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) | |
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) x) | |
| cost-diff | 0 | #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) | |
| cost-diff | 0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) | |
| cost-diff | 1 | (*.f64 #s(literal 2 binary64) (neg.f64 z)) | |
| cost-diff | 1 | (+.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z)) | |
| cost-diff | 4 | (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 175 |
| 0 | 47 | 183 |
| 1 | 77 | 178 |
| 2 | 148 | 155 |
| 3 | 310 | 155 |
| 4 | 450 | 155 |
| 5 | 703 | 155 |
| 6 | 1016 | 155 |
| 7 | 1196 | 155 |
| 8 | 1438 | 155 |
| 9 | 1720 | 155 |
| 10 | 2031 | 155 |
| 11 | 2558 | 155 |
| 12 | 2993 | 155 |
| 13 | 3387 | 155 |
| 14 | 3671 | 155 |
| 15 | 3976 | 155 |
| 16 | 4187 | 155 |
| 17 | 4293 | 155 |
| 18 | 4338 | 155 |
| 19 | 4372 | 155 |
| 20 | 4440 | 155 |
| 21 | 4566 | 155 |
| 22 | 4620 | 155 |
| 23 | 4648 | 155 |
| 24 | 4680 | 155 |
| 25 | 4732 | 155 |
| 0 | 4732 | 152 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z)) |
(/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(-.f64 x y) |
x |
y |
#s(literal 4 binary64) |
z |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z) |
(*.f64 #s(literal 2 binary64) (neg.f64 z)) |
#s(literal 2 binary64) |
(neg.f64 z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
x |
z |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(/.f64 #s(literal 4 binary64) z) |
#s(literal 4 binary64) |
z |
x |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) |
#s(literal 4 binary64) |
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
#s(literal -1/2 binary64) |
z |
x |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z)) |
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (-.f64 x y)) |
(-.f64 x y) |
x |
y |
#s(literal 4 binary64) |
z |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z) |
#s(literal -2 binary64) |
(*.f64 #s(literal 2 binary64) (neg.f64 z)) |
(*.f64 #s(literal -2 binary64) z) |
#s(literal 2 binary64) |
(neg.f64 z) |
#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))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(/.f64 #s(literal 4 binary64) z) |
#s(literal 4 binary64) |
z |
x |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) |
(*.f64 #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) (/.f64 #s(literal 4 binary64) z)) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) |
(*.f64 #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
#s(literal -1/2 binary64) |
z |
x |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 #s(literal -1/2 binary64) z x) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) | |
| accuracy | 0.01171875 | (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) | |
| accuracy | 19.447694933308306 | #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 4 binary64) z) | |
| accuracy | 0.08984375 | (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) | |
| accuracy | 18.759420304849353 | #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 | 0.01171875 | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) | |
| accuracy | 36.79791516979177 | #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) | |
| accuracy | 45.405626728049576 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) | |
| accuracy | 0.0 | (*.f64 (-.f64 x y) #s(literal 4 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) (neg.f64 z)) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.00390625 | (/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) |
| 44.0ms | 256× | 0 | valid |
Compiled 147 to 27 computations (81.6% saved)
ival-mult: 11.0ms (41.7% of total)ival-div: 7.0ms (26.5% of total)ival-add: 3.0ms (11.4% of total)ival-sub: 3.0ms (11.4% of total)exact: 1.0ms (3.8% of total)ival-neg: 1.0ms (3.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z) |
(+.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z)) |
(*.f64 #s(literal 2 binary64) (neg.f64 z)) |
(/.f64 (*.f64 (-.f64 x y) #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 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) |
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(neg.f64 z) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
| Outputs |
|---|
(- (* -4 (/ y z)) 2) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(* -4 (/ y z)) |
(+ (* -4 (/ y z)) (* 4 (/ x z))) |
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(* 4 x) |
-2 |
(- (* 4 (/ x z)) 2) |
(* -1 (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
(* -1/2 z) |
(+ x (* -1/2 z)) |
(* -4 y) |
(+ (* -4 y) (* 4 x)) |
(* 4 (/ x z)) |
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z)))) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 1 (* -1/2 (/ z x)))) |
(* x (+ 4 (* -4 (/ y x)))) |
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(* -1 (* x (- (* 1/2 (/ z x)) 1))) |
(* -1 (* x (- (* 4 (/ y x)) 4))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(- x (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z)))) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* -1 y) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(* y (- (* 4 (/ x y)) 4)) |
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 4 (* -4 (/ x y))))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(* -2 z) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(/ (+ (* -2 z) (* 4 x)) z) |
(/ 4 z) |
(- x y) |
(- (+ x (* -1/2 z)) y) |
(* -1 z) |
(- (* 4 (/ (- x y) z)) 2) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* z (- (/ x z) 1/2)) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(* -1 (* z (+ 1/2 (* -1 (/ x z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | z | @ | 0 | ((/ (* 2 (neg z)) z) (+ (/ (* (- x y) 4) z) (/ (* 2 (neg z)) z)) (* 2 (neg z)) (/ (* (- x y) 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))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (neg z) (* (- x y) 4)) |
| 2.0ms | x | @ | inf | ((/ (* 2 (neg z)) z) (+ (/ (* (- x y) 4) z) (/ (* 2 (neg z)) z)) (* 2 (neg z)) (/ (* (- x y) 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))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (neg z) (* (- x y) 4)) |
| 2.0ms | z | @ | inf | ((/ (* 2 (neg z)) z) (+ (/ (* (- x y) 4) z) (/ (* 2 (neg z)) z)) (* 2 (neg z)) (/ (* (- x y) 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))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (neg z) (* (- x y) 4)) |
| 2.0ms | x | @ | 0 | ((/ (* 2 (neg z)) z) (+ (/ (* (- x y) 4) z) (/ (* 2 (neg z)) z)) (* 2 (neg z)) (/ (* (- x y) 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))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (neg z) (* (- x y) 4)) |
| 2.0ms | x | @ | -inf | ((/ (* 2 (neg z)) z) (+ (/ (* (- x y) 4) z) (/ (* 2 (neg z)) z)) (* 2 (neg z)) (/ (* (- x y) 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))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (neg z) (* (- x y) 4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 676 |
| 1 | 603 | 615 |
| 2 | 1972 | 602 |
| 3 | 6900 | 602 |
| 0 | 8080 | 549 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* -4 (/ y z)) 2) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(* -4 (/ y z)) |
(+ (* -4 (/ y z)) (* 4 (/ x z))) |
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(* 4 x) |
-2 |
(- (* 4 (/ x z)) 2) |
(* -1 (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
(* -1/2 z) |
(+ x (* -1/2 z)) |
(* -4 y) |
(+ (* -4 y) (* 4 x)) |
(* 4 (/ x z)) |
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x)))) |
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z)))) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 1 (* -1/2 (/ z x)))) |
(* x (+ 4 (* -4 (/ y x)))) |
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(* -1 (* x (- (* 1/2 (/ z x)) 1))) |
(* -1 (* x (- (* 4 (/ y x)) 4))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(- x (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z)))) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* -1 y) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(* y (- (* 4 (/ x y)) 4)) |
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 4 (* -4 (/ x y))))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(* -2 z) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(/ (+ (* -2 z) (* 4 x)) z) |
(/ 4 z) |
(- x y) |
(- (+ x (* -1/2 z)) y) |
(* -1 z) |
(- (* 4 (/ (- x y) z)) 2) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* z (- (/ x z) 1/2)) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(* -1 (* z (+ 1/2 (* -1 (/ x z))))) |
| Outputs |
|---|
(- (* -4 (/ y z)) 2) |
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) |
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(* -4 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -4 binary64)) |
(+ (* -4 (/ y z)) (* 4 (/ x z))) |
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) |
(* -4 (/ (+ y (* 1/2 z)) z)) |
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(* -4 (+ y (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64)) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ x z)) 2) |
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(* -1 (+ y (* 1/2 z))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) z y)) |
(- x (+ y (* 1/2 z))) |
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(+ x (* -1/2 z)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(* -4 y) |
(*.f64 #s(literal -4 binary64) y) |
(+ (* -4 y) (* 4 x)) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(* 4 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 4 binary64)) |
(* 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) |
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) z) 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 (+ 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 |
(* 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) |
(* x (+ 1 (* -1/2 (/ z x)))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 4 (* -4 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) 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 (- (* 4 (/ y (* x z))) (* 4 (/ 1 z))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #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 (- (* 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 (neg.f64 x) (-.f64 (/.f64 #s(literal -4 binary64) z) (/.f64 #s(literal -2 binary64) x))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* 1/2 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 z x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(* -1 (* x (- (* 4 (/ y x)) 4))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 4 binary64))) |
(* 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)) |
(* 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)) |
(- x (* 1/2 z)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) |
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x z)) y) #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) z)) y) |
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x z)) y) #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) z)) y) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64)) #s(literal 4 binary64)) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 1 binary64)) y) |
(* y (- (* 4 (/ x y)) 4)) |
(*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 4 binary64)) y) |
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x z)) y) #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) z)) y) |
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) z) y) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 x z)) y) #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) z)) y) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal -1/2 binary64) z x) #s(literal -4 binary64)) y) |
(* -1 (* y (+ 1 (* -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 y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal -4 binary64)) y) |
(* 4 (/ (- x y) z)) |
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(* -2 z) |
(*.f64 #s(literal -2 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) |
(- x y) |
(-.f64 x y) |
(- (+ x (* -1/2 z)) y) |
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) |
(* -1 z) |
(neg.f64 z) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 x y) z) #s(literal 1/2 binary64)) z) |
(* z (- (/ x z) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(*.f64 (+.f64 (/.f64 (-.f64 x y) z) #s(literal -1/2 binary64)) z) |
(* -1 (* z (+ 1/2 (* -1 (/ x z))))) |
(fma.f64 #s(literal -1/2 binary64) z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 155 |
| 0 | 47 | 153 |
| 1 | 155 | 150 |
| 2 | 1113 | 150 |
| 0 | 8265 | 142 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z) |
(+.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z)) |
(*.f64 #s(literal 2 binary64) (neg.f64 z)) |
(/.f64 (*.f64 (-.f64 x y) #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 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) |
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(neg.f64 z) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 z) z) #s(literal 2 binary64)) |
(*.f64 (neg.f64 z) (/.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 z) z)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 z) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (neg.f64 z) z) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 z) z) (/.f64 (neg.f64 z) z))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 z) z) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 z) z) #s(literal 3 binary64))) (fma.f64 (/.f64 z z) (/.f64 z z) (-.f64 (pow.f64 (/.f64 (neg.f64 z) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (neg.f64 z) z) #s(literal 2 binary64))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 z) #s(literal -1/2 binary64)) (*.f64 (neg.f64 z) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (neg.f64 z) #s(literal -1/2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (*.f64 #s(literal 1/2 binary64) z))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 #s(literal 1/2 binary64) (*.f64 z x))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))))))) |
(/.f64 (neg.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 z z)))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))))) |
(/.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) (-.f64 x (*.f64 #s(literal -1/2 binary64) z))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 #s(literal 1/2 binary64) (*.f64 z x)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(fma.f64 z #s(literal -1/2 binary64) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal -1/2 binary64) z))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x))) |
(-.f64 x (*.f64 (neg.f64 z) #s(literal -1/2 binary64))) |
(-.f64 x (*.f64 #s(literal 1/2 binary64) z)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 #s(literal 1/2 binary64) (*.f64 z x))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 #s(literal 1/2 binary64) (*.f64 z x)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 #s(literal 1/2 binary64) (*.f64 z x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 #s(literal 1/2 binary64) (*.f64 z x)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) z) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 z)) #s(literal -1/2 binary64))) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (neg.f64 z))) |
(+.f64 x (*.f64 #s(literal -1/2 binary64) z)) |
(neg.f64 z) |
(*.f64 #s(literal 4 binary64) (-.f64 x y)) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 4 binary64))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 4 binary64))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x)) |
(/.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 y x) (-.f64 x y)) #s(literal 4 binary64)) (+.f64 y x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 4 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
Compiled 11 149 to 1 330 computations (88.1% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 370 | 3 | 373 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 375 | 6 | 381 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.9% | (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
| ✓ | 43.8% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
| ▶ | 34.7% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
| ▶ | 61.1% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) |
| ▶ | 70.7% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
| ✓ | 29.1% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
Compiled 94 to 80 computations (14.9% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) | |
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) | |
| cost-diff | 0 | (*.f64 #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 y z) | |
| cost-diff | 0 | (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) | |
| 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 142 |
| 0 | 36 | 142 |
| 1 | 57 | 142 |
| 2 | 105 | 142 |
| 3 | 201 | 138 |
| 4 | 425 | 138 |
| 5 | 713 | 138 |
| 6 | 927 | 138 |
| 7 | 1136 | 138 |
| 8 | 1361 | 138 |
| 9 | 1543 | 138 |
| 10 | 1727 | 138 |
| 11 | 2120 | 138 |
| 12 | 2627 | 138 |
| 13 | 3025 | 138 |
| 14 | 3382 | 138 |
| 15 | 3663 | 138 |
| 16 | 3956 | 138 |
| 17 | 4165 | 138 |
| 18 | 4271 | 138 |
| 19 | 4316 | 138 |
| 20 | 4350 | 138 |
| 21 | 4420 | 138 |
| 22 | 4546 | 138 |
| 23 | 4600 | 138 |
| 24 | 4628 | 138 |
| 25 | 4660 | 138 |
| 26 | 4712 | 138 |
| 0 | 4712 | 131 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#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) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) |
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) |
(/.f64 y z) |
y |
z |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) |
(*.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
z |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) |
#s(literal 4 binary64) |
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) |
(-.f64 x y) |
x |
y |
z |
| 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 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) |
(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)) |
(/.f64 x z) |
x |
z |
#s(literal 4 binary64) |
#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))) |
#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 y z) #s(literal -4 binary64) #s(literal -2 binary64)) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(/.f64 y z) |
y |
z |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) |
(*.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
z |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
(*.f64 (/.f64 #s(literal 4 binary64) z) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) |
(*.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) |
(-.f64 x y) |
x |
y |
z |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x y) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) | |
| accuracy | 0.01171875 | (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) | |
| accuracy | 17.429686229487885 | #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) | |
| accuracy | 0.0 | (*.f64 #s(literal -4 binary64) y) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) | |
| accuracy | 42.80500775866412 | #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) | |
| accuracy | 0.0 | (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 24.888960731898973 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) | |
| accuracy | 0.0 | (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 18.759420304849353 | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
| 37.0ms | 256× | 0 | valid |
Compiled 112 to 21 computations (81.3% saved)
ival-div: 7.0ms (30.8% of total)ival-mult: 7.0ms (30.8% of total)ival-add: 5.0ms (22% of total)ival-sub: 3.0ms (13.2% of total)exact: 1.0ms (4.4% of total)ival-true: 0.0ms (0% of total)adjust: 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 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) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) |
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) |
(/.f64 y z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) |
(*.f64 #s(literal -4 binary64) y) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) |
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) |
(-.f64 x y) |
| Outputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
-2 |
(- (* 4 (/ x z)) 2) |
(/ x z) |
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(* -1 (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
(* -1 y) |
(- x y) |
(* 4 (/ x z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(* 4 x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(- (* -4 (/ y z)) 2) |
(/ y z) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(* -4 y) |
(- x (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(+ x (* -1 y)) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(* y (- (/ x y) 1)) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/ (+ (* -2 z) (* 4 x)) z) |
(/ (+ (* -4 y) (* -2 z)) z) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(- (+ x (* -1/2 z)) y) |
(- (* 4 (/ (- x y) z)) 2) |
(* -2 z) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* -1/2 z) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | z | @ | inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y)) |
| 2.0ms | z | @ | -inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y)) |
| 1.0ms | y | @ | -inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y)) |
| 1.0ms | y | @ | inf | ((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y)) |
| 1.0ms | z | @ | 0 | ((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 498 |
| 1 | 470 | 464 |
| 2 | 1553 | 441 |
| 3 | 5511 | 441 |
| 0 | 8155 | 400 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (/ (+ y (* 1/2 z)) z)) |
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z))) |
-2 |
(- (* 4 (/ x z)) 2) |
(/ x z) |
(* -4 (+ y (* 1/2 z))) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(* -1 (+ y (* 1/2 z))) |
(- x (+ y (* 1/2 z))) |
(* -1 y) |
(- x y) |
(* 4 (/ x z)) |
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))) |
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(* 4 x) |
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x)))) |
x |
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z))))) |
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) |
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(- (* -4 (/ y z)) 2) |
(/ y z) |
(* 4 (- x (* 1/2 z))) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(* -4 y) |
(- x (* 1/2 z)) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(+ x (* -1 y)) |
(* -4 (/ y z)) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(* y (- (/ x y) 1)) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* 4 (/ (- x y) z)) |
(/ (+ (* -2 z) (* 4 (- x y))) z) |
(/ (+ (* -2 z) (* 4 x)) z) |
(/ (+ (* -4 y) (* -2 z)) z) |
(* 4 (- x y)) |
(+ (* -2 z) (* 4 (- x y))) |
(- (+ x (* -1/2 z)) y) |
(- (* 4 (/ (- x y) z)) 2) |
(* -2 z) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(* -1/2 z) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(* -1 (* z (+ 1/2 (* -1 (/ (- 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)) |
-2 |
#s(literal -2 binary64) |
(- (* 4 (/ x z)) 2) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(/ x z) |
(/.f64 x z) |
(* -4 (+ y (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64)) |
(+ (* -4 (+ y (* 1/2 z))) (* 4 x)) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64)) |
(* -1 (+ y (* 1/2 z))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) z y)) |
(- x (+ y (* 1/2 z))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) z x) 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 (- (* 4 (/ 1 z)) (* 2 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -4 binary64) z)) x) |
(* 4 x) |
(*.f64 x #s(literal 4 binary64)) |
(* 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 |
(* 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) |
(* 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 (- (* 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 (* 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 (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(* 4 (/ (- x (* 1/2 z)) z)) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z))) |
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #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 (- x (* 1/2 z))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) z x) #s(literal 4 binary64)) |
(+ (* -4 y) (* 4 (- x (* 1/2 z)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64)) |
(* -4 y) |
(*.f64 #s(literal -4 binary64) y) |
(- x (* 1/2 z)) |
(fma.f64 #s(literal -1/2 binary64) z x) |
(- (+ x (* -1 y)) (* 1/2 z)) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -4 (/ y z)) |
(*.f64 (/.f64 #s(literal -4 binary64) z) y) |
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) z) x #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y)) |
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4)) |
(*.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64)) #s(literal 4 binary64)) y) |
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 1 binary64)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) z) x #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y)) |
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64)) |
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y))))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x 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)) |
(/ (+ (* -2 z) (* 4 x)) z) |
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) |
(/ (+ (* -4 y) (* -2 z)) z) |
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)) |
(* 4 (- x y)) |
(*.f64 (-.f64 x y) #s(literal 4 binary64)) |
(+ (* -2 z) (* 4 (- x y))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64)) |
(- (+ x (* -1/2 z)) y) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) |
(- (* 4 (/ (- x y) z)) 2) |
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(* -2 z) |
(*.f64 #s(literal -2 binary64) z) |
(* z (- (* 4 (/ (- x y) z)) 2)) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64)) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(* z (- (/ x z) (+ 1/2 (/ y z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 x y) z) #s(literal 1/2 binary64)) z) |
(* -1 (* z (+ 2 (* -4 (/ (- x y) z))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64)) |
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z))))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 127 |
| 0 | 36 | 127 |
| 1 | 115 | 127 |
| 2 | 735 | 127 |
| 0 | 8348 | 120 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) |
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) |
(/.f64 y z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) |
(*.f64 #s(literal -4 binary64) y) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) |
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) |
(-.f64 x y) |
| Outputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -8 binary64) (/.f64 x z))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -8 binary64) (/.f64 x z))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -8 binary64) (/.f64 x z))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -8 binary64) (/.f64 x z))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -8 binary64) (/.f64 x z))) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -8 binary64) (/.f64 x z))) (pow.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal -2 binary64)))) (*.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal -2 binary64))))) (fma.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal -2 binary64))))) |
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(fma.f64 (/.f64 #s(literal -8 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z)))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #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 #s(literal 8 binary64) (/.f64 y z)))))) |
(fma.f64 (/.f64 #s(literal -8 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))) (-.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))) (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #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 #s(literal 8 binary64) (/.f64 y z)))))) |
(fma.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 3/2 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))))) (/.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 #s(literal 8 binary64) (/.f64 y z)))))) |
(fma.f64 #s(literal -64 binary64) (/.f64 (pow.f64 (/.f64 y z) #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 #s(literal 8 binary64) (/.f64 y z))))) (/.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 #s(literal 8 binary64) (/.f64 y z)))))) |
(fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (/.f64 #s(literal -64 binary64) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))))) (/.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 #s(literal 8 binary64) (/.f64 y z)))))) |
(fma.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))))) (/.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 #s(literal 8 binary64) (/.f64 y z)))))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64)) |
(fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))))) (/.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 #s(literal 8 binary64) (/.f64 y z)))))) |
(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)) |
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z)))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z))))) |
(-.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 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) (*.f64 (/.f64 y z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal 8 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal 8 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal 8 binary64))))) (/.f64 #s(literal -8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (*.f64 #s(literal 16 binary64) (/.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 #s(literal 8 binary64) (/.f64 y z))))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #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 #s(literal 8 binary64) (/.f64 y z)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #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 #s(literal 8 binary64) (/.f64 y z))))) (/.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 #s(literal 8 binary64) (/.f64 y z)))))) |
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64)) |
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(/.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))) (neg.f64 z)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
(neg.f64 (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) (neg.f64 z))) |
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) |
(neg.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)))) |
(*.f64 #s(literal -4 binary64) y) |
(*.f64 y #s(literal -4 binary64)) |
(*.f64 (neg.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) (/.f64 #s(literal -4 binary64) z)) |
(*.f64 (/.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) z) #s(literal 4 binary64)) |
(*.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) (/.f64 #s(literal 4 binary64) z)) |
(*.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) (neg.f64 z))) |
(*.f64 #s(literal 4 binary64) (/.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) z)) |
(/.f64 (*.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) #s(literal -4 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) #s(literal 4 binary64)) z) |
(neg.f64 (*.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) (/.f64 #s(literal -4 binary64) z))) |
(*.f64 (neg.f64 (neg.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)))) #s(literal 4 binary64)) |
(*.f64 (neg.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) #s(literal -4 binary64)) |
(*.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) #s(literal 4 binary64)) |
(*.f64 #s(literal -4 binary64) (neg.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)))) |
(*.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))))) |
(*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) |
(neg.f64 (*.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) #s(literal -4 binary64))) |
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) |
(*.f64 (/.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 x x (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(*.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 y (+.f64 y x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y (+.f64 y x)) (-.f64 (*.f64 y (+.f64 y x)) (*.f64 x x))))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x)))) (*.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))) (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 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 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x))) (fma.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))) (*.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 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 (*.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 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 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 y x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (+.f64 y 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 y (+.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x 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 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))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y 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 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.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 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 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 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) |
Compiled 7 753 to 908 computations (88.3% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 206 | 0 | 206 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 2 | 2 |
| Total | 206 | 6 | 212 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.9% | (/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
| ✓ | 43.8% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
| ✓ | 34.7% | (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
| ✓ | 61.1% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) |
| ✓ | 70.7% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) |
| ✓ | 29.1% | #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
Compiled 282 to 135 computations (52.1% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.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))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y 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) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(+.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z)) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z)) |
5 calls:
| 35.0ms | (-.f64 x y) |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | x |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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)) |
(/.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 (/.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))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y 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) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
5 calls:
| 21.0ms | (-.f64 x y) |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | x |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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)) |
(/.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 (/.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))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y 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) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z) |
(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) |
| Outputs |
|---|
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 x y) #s(literal 4 binary64))) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.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:
| 4.0ms | z |
| 3.0ms | (-.f64 x y) |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 3 | (-.f64 x y) |
| 99.5% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 88.3% | 3 | x |
| 92.9% | 3 | y |
| 87.4% | 3 | z |
Compiled 17 to 23 computations (-35.3% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.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))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) |
| Outputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #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))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) |
2 calls:
| 3.0ms | y |
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 3 | y |
| 77.4% | 5 | (/.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)) |
(/.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 (/.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 #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))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.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) 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 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.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 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
4 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 x y) |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.9% | 3 | z |
| 66.9% | 3 | (-.f64 x y) |
| 82.5% | 3 | x |
| 72.0% | 3 | y |
Compiled 6 to 13 computations (-116.7% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
(/.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) #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 #s(literal -4 binary64) y)) z) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) |
3 calls:
| 14.0ms | y |
| 2.0ms | x |
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.5% | 3 | y |
| 76.4% | 7 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 64.0% | 4 | x |
Compiled 13 to 16 computations (-23.1% saved)
| Inputs |
|---|
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) |
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 |
|---|---|---|
| 37.9% | 3 | x |
| 53.0% | 3 | y |
| 49.0% | 3 | (-.f64 x y) |
| 48.9% | 3 | z |
| 60.5% | 3 | (/.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)
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:
| 26.0ms | x |
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
| 1.0ms | y |
| 1.0ms | (-.f64 x y) |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.1% | 1 | x |
| 29.1% | 1 | z |
| 29.1% | 1 | (-.f64 x y) |
| 29.1% | 1 | y |
| 29.1% | 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 | 215436002384340.8 | 4.327895786592141e+22 |
| 0.0ms | -2048846427558237200.0 | -3670015236599.4063 |
Compiled 14 to 16 computations (-14.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 2.995804190764755e-36 | 1.4248944996856787e-30 |
| 41.0ms | -4.5575902919541907e+111 | -6.288798723256817e+108 |
| 69.0ms | 272× | 0 | valid |
Compiled 626 to 560 computations (10.5% saved)
ival-sub: 3.0ms (34.5% of total)ival-mult: 3.0ms (34.5% of total)ival-div: 2.0ms (23% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.995804190764755e-36 | 1.4248944996856787e-30 |
| 1.0ms | -4.5575902919541907e+111 | -6.288798723256817e+108 |
Compiled 626 to 560 computations (10.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.995804190764755e-36 | 1.4248944996856787e-30 |
| 1.0ms | -4.5575902919541907e+111 | -6.288798723256817e+108 |
Compiled 626 to 560 computations (10.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 1.8471043882457522e+30 | 3.577599945775539e+33 |
| 11.0ms | -2.9390229546209295e+75 | -9.708012874094274e+73 |
| 14.0ms | 240× | 0 | valid |
Compiled 509 to 466 computations (8.4% saved)
ival-mult: 3.0ms (40.3% of total)ival-sub: 2.0ms (26.8% of total)ival-div: 2.0ms (26.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 6× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.241747974320958e+203 | 5.256166076393591e+204 |
| 0.0ms | 8.364099647710994e+136 | 2.929421009903686e+162 |
| 0.0ms | -0.6481060885265642 | 443460.252518179 |
| 0.0ms | -6224507.098344386 | -3166831.073426286 |
| 0.0ms | -1.1347840003543773e+61 | -1.9159837528113993e+54 |
| 0.0ms | -1.169320150491067e+97 | -9.201714810536956e+96 |
Compiled 14 to 16 computations (-14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.6481060885265642 | 443460.252518179 |
| 0.0ms | -3166831.073426286 | -2.0000000000000004 |
Compiled 14 to 16 computations (-14.3% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 509 |
| 1 | 129 | 509 |
| 2 | 175 | 508 |
| 3 | 265 | 508 |
| 4 | 440 | 486 |
| 5 | 883 | 486 |
| 6 | 2433 | 486 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2000000000000000000 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 400000000000000 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 y #s(literal -32999999999999998775301281791765240251901732702921994043251624086491323234031829842413216013200318192129409024 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 7992587079153375/5708990770823839524233143877797980545530986496 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 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))))) |
(if (<=.f64 y #s(literal -32999999999999998775301281791765240251901732702921994043251624086491323234031829842413216013200318192129409024 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 7992587079153375/5708990770823839524233143877797980545530986496 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 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))))) |
(if (<=.f64 y #s(literal -32999999999999998775301281791765240251901732702921994043251624086491323234031829842413216013200318192129409024 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 7992587079153375/5708990770823839524233143877797980545530986496 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 #s(literal -4 binary64) z) y #s(literal -2 binary64))))) |
(if (<=.f64 x #s(literal -2850000000000000182329524641100296595353349171476867843485522030929786175488 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 76999999999999996746041508495360 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #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 -10000000000000000735758738477112498397576062152177456799245857901351759143802190202050679656153088 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 -9999999999999999493871352970740188669636450110134100730839040 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 -5000000 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 -1/2 binary64)) #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 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 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 499999999999999994384553937531647238254672299147749614987517424420146305911809334222213484730003449225929602672778211227407463065378690618207626935972713119573715974831195255889365439901082129323010293760 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z))))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2000000 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 -1/2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) z)) |
(-.f64 (/.f64 (*.f64 (-.f64 x y) #s(literal 4 binary64)) z) (/.f64 (*.f64 #s(literal 2 binary64) z) z)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2000000000000000000 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 400000000000000 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 -2000000000000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 400000000000000 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 y #s(literal -32999999999999998775301281791765240251901732702921994043251624086491323234031829842413216013200318192129409024 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 7992587079153375/5708990770823839524233143877797980545530986496 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 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))))) |
(if (or (<=.f64 y #s(literal -32999999999999998775301281791765240251901732702921994043251624086491323234031829842413216013200318192129409024 binary64)) (not (<=.f64 y #s(literal 7992587079153375/5708990770823839524233143877797980545530986496 binary64)))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #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 y #s(literal -32999999999999998775301281791765240251901732702921994043251624086491323234031829842413216013200318192129409024 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 7992587079153375/5708990770823839524233143877797980545530986496 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 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))))) |
(if (or (<=.f64 y #s(literal -32999999999999998775301281791765240251901732702921994043251624086491323234031829842413216013200318192129409024 binary64)) (not (<=.f64 y #s(literal 7992587079153375/5708990770823839524233143877797980545530986496 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 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) |
(if (<=.f64 y #s(literal -32999999999999998775301281791765240251901732702921994043251624086491323234031829842413216013200318192129409024 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 7992587079153375/5708990770823839524233143877797980545530986496 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 #s(literal -4 binary64) z) y #s(literal -2 binary64))))) |
(if (or (<=.f64 y #s(literal -32999999999999998775301281791765240251901732702921994043251624086491323234031829842413216013200318192129409024 binary64)) (not (<=.f64 y #s(literal 7992587079153375/5708990770823839524233143877797980545530986496 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)))) |
(if (<=.f64 x #s(literal -2850000000000000182329524641100296595353349171476867843485522030929786175488 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 76999999999999996746041508495360 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #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 -2850000000000000182329524641100296595353349171476867843485522030929786175488 binary64)) (not (<=.f64 x #s(literal 76999999999999996746041508495360 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 (/.f64 #s(literal -4 binary64) z) y #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 -10000000000000000735758738477112498397576062152177456799245857901351759143802190202050679656153088 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 -9999999999999999493871352970740188669636450110134100730839040 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 -5000000 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 -1/2 binary64)) #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 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 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 499999999999999994384553937531647238254672299147749614987517424420146305911809334222213484730003449225929602672778211227407463065378690618207626935972713119573715974831195255889365439901082129323010293760 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z))))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -10000000000000000735758738477112498397576062152177456799245857901351759143802190202050679656153088 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 -9999999999999999493871352970740188669636450110134100730839040 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 -5000000 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 -1/2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 499999999999999994384553937531647238254672299147749614987517424420146305911809334222213484730003449225929602672778211227407463065378690618207626935972713119573715974831195255889365439901082129323010293760 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 #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 -2000000 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 -1/2 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 -2000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1/2 binary64)))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))) |
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 676 |
| 1 | 603 | 615 |
| 2 | 1972 | 602 |
| 3 | 6900 | 602 |
| 0 | 8080 | 549 |
| 0 | 127 | 437 |
| 1 | 408 | 403 |
| 2 | 1361 | 386 |
| 3 | 4687 | 386 |
| 0 | 8202 | 350 |
| 0 | 10 | 33 |
| 0 | 15 | 33 |
| 1 | 51 | 33 |
| 2 | 386 | 33 |
| 3 | 4958 | 33 |
| 0 | 8884 | 30 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 508 to 93 computations (81.7% saved)
Compiled 1 064 to 228 computations (78.6% saved)
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