
Time bar (total: 7.5s)
| 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 11 to 9 computations (18.2% saved)
| 750.0ms | 8 256× | 0 | valid |
ival-sub: 228.0ms (51% of total)ival-mult: 107.0ms (23.9% of total)ival-div: 55.0ms (12.3% of total)ival-add: 48.0ms (10.7% of total)ival-true: 6.0ms (1.3% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 34 | 0 | - | 0 | - | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y (-.f64 z x))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y (-.f64 z x)) |
| 0 | 0 | - | 0 | - | (-.f64 z x) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) | o/n | 34 | 0 |
| ↳ | (+.f64 x (*.f64 y (-.f64 z x))) | overflow | 57 | |
| ↳ | (*.f64 y (-.f64 z x)) | overflow | 57 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 34 | 0 |
| - | 0 | 222 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 34 | 0 | 0 |
| - | 0 | 0 | 222 |
| number | freq |
|---|---|
| 0 | 222 |
| 1 | 34 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 512× | 0 | valid |
Compiled 121 to 39 computations (67.8% saved)
ival-sub: 3.0ms (23.4% of total)ival-div: 3.0ms (23.4% of total)ival-mult: 3.0ms (23.4% of total)ival-add: 2.0ms (15.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 94 |
| 1 | 80 | 84 |
| 2 | 199 | 81 |
| 3 | 727 | 81 |
| 4 | 2078 | 81 |
| 5 | 4862 | 81 |
| 6 | 6285 | 81 |
| 7 | 6828 | 81 |
| 8 | 7073 | 81 |
| 9 | 7124 | 81 |
| 10 | 7128 | 81 |
| 11 | 7262 | 81 |
| 12 | 7598 | 81 |
| 13 | 7712 | 81 |
| 14 | 7758 | 81 |
| 15 | 7772 | 81 |
| 16 | 7784 | 81 |
| 17 | 7786 | 81 |
| 18 | 7786 | 81 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 15 | 9 |
| 2 | 26 | 9 |
| 3 | 50 | 9 |
| 4 | 86 | 9 |
| 5 | 135 | 9 |
| 6 | 239 | 9 |
| 7 | 484 | 9 |
| 8 | 1326 | 9 |
| 9 | 2849 | 9 |
| 10 | 3795 | 9 |
| 11 | 4257 | 9 |
| 12 | 4520 | 9 |
| 13 | 4651 | 9 |
| 14 | 4666 | 9 |
| 15 | 6168 | 9 |
| 16 | 6644 | 9 |
| 17 | 6908 | 9 |
| 18 | 7050 | 9 |
| 19 | 7172 | 9 |
| 20 | 7172 | 9 |
| 21 | 7449 | 9 |
| 22 | 7555 | 9 |
| 23 | 7555 | 9 |
| 24 | 7695 | 9 |
| 0 | 8143 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Outputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.4% | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (*.f64 y (-.f64 z x)) | |
| cost-diff | 0 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) | |
| cost-diff | 128 | (+.f64 x (*.f64 y (-.f64 z x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 27 |
| 0 | 11 | 27 |
| 1 | 15 | 27 |
| 2 | 26 | 27 |
| 3 | 50 | 27 |
| 4 | 86 | 27 |
| 5 | 135 | 27 |
| 6 | 239 | 27 |
| 7 | 484 | 27 |
| 8 | 1326 | 27 |
| 9 | 2849 | 27 |
| 10 | 3795 | 27 |
| 11 | 4257 | 27 |
| 12 | 4520 | 27 |
| 13 | 4651 | 27 |
| 14 | 4666 | 27 |
| 15 | 6168 | 27 |
| 16 | 6644 | 27 |
| 17 | 6908 | 27 |
| 18 | 7050 | 27 |
| 19 | 7172 | 27 |
| 20 | 7172 | 27 |
| 21 | 7449 | 27 |
| 22 | 7555 | 27 |
| 23 | 7555 | 27 |
| 24 | 7695 | 27 |
| 0 | 8143 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(+.f64 x (*.f64 y (-.f64 z x))) |
x |
(*.f64 y (-.f64 z x)) |
y |
(-.f64 z x) |
z |
| Outputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 (-.f64 z x) y x) |
x |
(*.f64 y (-.f64 z x)) |
(*.f64 (-.f64 z x) y) |
y |
(-.f64 z x) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 0 | (+.f64 x (*.f64 y (-.f64 z x))) | |
| accuracy | 0.01171875 | (*.f64 y (-.f64 z x)) | |
| accuracy | 8.055805281678444 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 54.0ms | 256× | 0 | valid |
Compiled 56 to 16 computations (71.4% saved)
ival-div: 2.0ms (32.4% of total)ival-mult: 2.0ms (32.4% of total)ival-sub: 1.0ms (16.2% of total)ival-add: 1.0ms (16.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (*.f64 y (-.f64 z x))) |
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(*.f64 y (-.f64 z x)) |
(-.f64 z x) |
| Outputs |
|---|
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ (* -1 (* x y)) (* y z)) |
z |
(+ z (* -1 x)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
x |
(+ x (* y (- z x))) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(- z x) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x z) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x)) |
| 1.0ms | z | @ | -inf | ((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x)) |
| 1.0ms | x | @ | -inf | ((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x)) |
| 1.0ms | x | @ | inf | ((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x)) |
| 1.0ms | x | @ | 0 | ((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 316 |
| 1 | 346 | 257 |
| 2 | 1045 | 241 |
| 3 | 3268 | 241 |
| 4 | 5757 | 241 |
| 5 | 7633 | 241 |
| 0 | 8031 | 224 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ (* -1 (* x y)) (* y z)) |
z |
(+ z (* -1 x)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
x |
(+ x (* y (- z x))) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(- z x) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x z) 1))) |
| Outputs |
|---|
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (-.f64 z x) y) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ z x) 1)) |
(-.f64 z x) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(-.f64 z x) |
x |
(+ x (* y (- z x))) |
(fma.f64 (-.f64 z x) y x) |
(/ x z) |
(/.f64 x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- (+ z (/ x y)) x)) |
(fma.f64 (-.f64 z x) y x) |
(/ (* y (- z x)) z) |
(/.f64 (*.f64 (-.f64 z x) y) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(- z x) |
(-.f64 z x) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(fma.f64 (-.f64 z x) y x) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* z (+ 1 (* -1 (/ x z)))) |
(-.f64 z x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* z (- (/ x z) 1))) |
(-.f64 z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 0 | 11 | 24 |
| 1 | 46 | 24 |
| 2 | 352 | 24 |
| 3 | 4576 | 24 |
| 0 | 9115 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 y (-.f64 z x))) |
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(*.f64 y (-.f64 z x)) |
(-.f64 z x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 z x) y) x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 z x) y) (fma.f64 (-.f64 z x) y x) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) (-.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
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(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 z x) y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (-.f64 z x) y))) |
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 z y)) |
(+.f64 (*.f64 z y) (*.f64 (neg.f64 x) y)) |
(*.f64 (pow.f64 (/.f64 (+.f64 z x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 z x) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z x) x) (-.f64 (*.f64 (+.f64 z x) x) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (fma.f64 (neg.f64 x) x (*.f64 z z))) (-.f64 z x)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(*.f64 (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (*.f64 z z))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))) (pow.f64 (neg.f64 (+.f64 z x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal -1 binary64))) |
(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) (+.f64 z x))) |
(*.f64 (+.f64 z x) (*.f64 (-.f64 z x) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (pow.f64 (+.f64 z x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 z x)) |
(*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (/.f64 (-.f64 z x) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (*.f64 (-.f64 z x) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 z x) #s(literal -1 binary64))) (fma.f64 z z (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 z x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 z #s(literal 6 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 z x))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 z x))) #s(literal 2 binary64))) (fma.f64 z (/.f64 z (+.f64 z x)) (*.f64 x (/.f64 x (+.f64 z x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 (neg.f64 x) z)) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (+.f64 z x) #s(literal -3 binary64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 z x) #s(literal -3 binary64)))) (+.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 z x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 z x))) #s(literal 2 binary64)) (*.f64 (*.f64 z (/.f64 z (+.f64 z x))) (*.f64 x (/.f64 x (+.f64 z x))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -3 binary64))) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) (neg.f64 (neg.f64 (+.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (*.f64 x x)) (+.f64 z x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))) (+.f64 z x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) #s(literal 1 binary64)) (+.f64 z x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 x x))) (pow.f64 (+.f64 z x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 z x) (fma.f64 z z (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 z x) (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (+.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))) |
(neg.f64 (neg.f64 (-.f64 z x))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z x) x) (-.f64 (*.f64 (+.f64 z x) x) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (*.f64 z z)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) x (*.f64 z z))) (-.f64 z x) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x z) |
(fma.f64 #s(literal 1 binary64) z (neg.f64 x)) |
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 (*.f64 z z) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 z (/.f64 z (+.f64 z x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 z #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) z) |
(-.f64 (+.f64 z #s(literal 0 binary64)) x) |
(-.f64 (*.f64 z (/.f64 z (+.f64 z x))) (*.f64 x (/.f64 x (+.f64 z x)))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x z)) |
(-.f64 z x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 z (/.f64 z (+.f64 z x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(+.f64 (neg.f64 x) z) |
(+.f64 z (neg.f64 x)) |
Compiled 9 637 to 1 334 computations (86.2% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 376 | 8 | 384 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 377 | 8 | 385 |
| Status | Accuracy | Program |
|---|---|---|
| 87.4% | (/.f64 (fma.f64 (-.f64 z x) y x) z) | |
| ▶ | 57.4% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
| 32.9% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) | |
| ▶ | 87.2% | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) |
| ▶ | 100.0% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
| 51.3% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 (-.f64 z x) y) z)) | |
| ▶ | 40.8% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| ▶ | 59.0% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
Compiled 224 to 158 computations (29.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (-.f64 z x) y x) | |
| cost-diff | 0 | (neg.f64 (fma.f64 (-.f64 z x) y x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| cost-diff | 0 | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 164 |
| 0 | 39 | 156 |
| 1 | 68 | 156 |
| 2 | 145 | 156 |
| 3 | 455 | 156 |
| 4 | 1368 | 156 |
| 5 | 2986 | 156 |
| 6 | 4698 | 156 |
| 7 | 5206 | 156 |
| 8 | 5558 | 156 |
| 9 | 5799 | 156 |
| 10 | 5980 | 156 |
| 11 | 6096 | 156 |
| 12 | 6168 | 156 |
| 13 | 6740 | 156 |
| 14 | 7658 | 156 |
| 15 | 7956 | 156 |
| 0 | 8008 | 156 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(/.f64 x z) |
x |
z |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
x |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
z |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
x |
y |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (fma.f64 y (-.f64 z x) x) z)) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(/.f64 (fma.f64 y (-.f64 z x) x) z) |
(/.f64 x z) |
x |
z |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
x |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
z |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) |
(/.f64 (fma.f64 y (-.f64 z x) x) z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(neg.f64 (fma.f64 y (-.f64 z x) x)) |
(fma.f64 (-.f64 z x) y x) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 z x) |
x |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 0 | (neg.f64 (fma.f64 (-.f64 z x) y x)) | |
| accuracy | 8.192524031678444 | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.015625 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| accuracy | 8.055805281678444 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) | |
| accuracy | 25.032875887629046 | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.015625 | (/.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 1.080926279623259 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) | |
| accuracy | 25.95230570455745 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 37.910245412766656 | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) | |
| accuracy | 0.03125 | (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
| 83.0ms | 256× | 0 | valid |
Compiled 301 to 48 computations (84.1% saved)
ival-mult: 9.0ms (37% of total)ival-div: 8.0ms (32.9% of total)ival-sub: 3.0ms (12.3% of total)ival-add: 3.0ms (12.3% of total)ival-neg: 1.0ms (4.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(/.f64 x z) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) |
(/.f64 #s(literal -1 binary64) z) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
| Outputs |
|---|
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/ x z) |
(/ (* x (- 1 y)) z) |
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(* x (- 1 y)) |
(* -1 (* y z)) |
(- (* -1 (* x (+ 1 (* -1 y)))) (* y z)) |
z |
(+ z (* -1 x)) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (- (/ 1 z) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* x (- (* -1 (/ (* y z) x)) (+ 1 (* -1 y)))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- 1 y))) |
(* -1 (* x (- (+ 1 (/ (* y z) x)) y))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
1 |
(+ 1 (* -1 y)) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(/ 1 z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
x |
(+ x (* y (- z x))) |
(+ x (* -1 (* x y))) |
(- (* y (- x z)) x) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(* -1 (/ y z)) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(* -1 (/ (* y (- x z)) z)) |
(* y (+ (* -1 (/ (- x z) z)) (/ x (* y z)))) |
(* y (- x z)) |
(* y (- (+ x (* -1 (/ x y))) z)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (- (/ x z) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (- z x))) |
(* -1 (* y (- (/ x y) (* -1 (- z x))))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (- 1 y) z) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(/ -1 z) |
(* -1 (+ x (* -1 (* x y)))) |
(- (* -1 (* y z)) (+ x (* -1 (* x y)))) |
(- z x) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (/ (* x (- 1 y)) z)) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (- (* -1 (/ (+ x (* -1 (* x y))) z)) y)) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (/ x z)) (* -1 y)))) |
(* -1 (* z (- (/ x z) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 65.0ms | x | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x) (- z x)) |
| 25.0ms | z | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x) (- z x)) |
| 3.0ms | x | @ | 0 | ((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x) (- z x)) |
| 2.0ms | x | @ | inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x) (- z x)) |
| 2.0ms | y | @ | inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x) (- z x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 178 | 538 |
| 1 | 574 | 517 |
| 2 | 1602 | 508 |
| 3 | 4711 | 508 |
| 4 | 7413 | 508 |
| 0 | 8080 | 482 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/ x z) |
(/ (* x (- 1 y)) z) |
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(* x (- 1 y)) |
(* -1 (* y z)) |
(- (* -1 (* x (+ 1 (* -1 y)))) (* y z)) |
z |
(+ z (* -1 x)) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (- (/ 1 z) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* x (- (* -1 (/ (* y z) x)) (+ 1 (* -1 y)))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- 1 y))) |
(* -1 (* x (- (+ 1 (/ (* y z) x)) y))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
1 |
(+ 1 (* -1 y)) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(/ 1 z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
x |
(+ x (* y (- z x))) |
(+ x (* -1 (* x y))) |
(- (* y (- x z)) x) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(* -1 (/ y z)) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(* -1 (/ (* y (- x z)) z)) |
(* y (+ (* -1 (/ (- x z) z)) (/ x (* y z)))) |
(* y (- x z)) |
(* y (- (+ x (* -1 (/ x y))) z)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (- (/ x z) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (- z x))) |
(* -1 (* y (- (/ x y) (* -1 (- z x))))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (- 1 y) z) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(/ -1 z) |
(* -1 (+ x (* -1 (* x y)))) |
(- (* -1 (* y z)) (+ x (* -1 (* x y)))) |
(- z x) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (/ (* x (- 1 y)) z)) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (- (* -1 (/ (+ x (* -1 (* x y))) z)) y)) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (/ x z)) (* -1 y)))) |
(* -1 (* z (- (/ x z) 1))) |
| Outputs |
|---|
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(- (* -1 (* x (+ 1 (* -1 y)))) (* y z)) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (- (/ 1 z) (/ y z))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (* -1 (/ (* y z) x)) (+ 1 (* -1 y)))) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ z x) 1)) |
(-.f64 z x) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x (- 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ 1 (/ (* y z) x)) y))) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(-.f64 z x) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
x |
(+ x (* y (- z x))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(- (* y (- x z)) x) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(/ (* y (- z x)) z) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y (+ 1 (* -1 (/ x z)))) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- (+ z (/ x y)) x)) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (/ (* y (- x z)) z)) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(* y (+ (* -1 (/ (- x z) z)) (/ x (* y z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y (- x z)) |
(*.f64 (-.f64 x z) y) |
(* y (- (+ x (* -1 (/ x y))) z)) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* y (- (/ x z) 1))) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* y (- z x))) |
(*.f64 (-.f64 x z) y) |
(* -1 (* y (- (/ x y) (* -1 (- z x))))) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(* -1 (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(- (* -1 (* y z)) (+ x (* -1 (* x y)))) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(- z x) |
(-.f64 z x) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(fma.f64 (-.f64 z x) y x) |
(* z (- (* -1 (/ (+ x (* -1 (* x y))) z)) y)) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(* z (+ 1 (* -1 (/ x z)))) |
(-.f64 z x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (/ x z)) (* -1 y)))) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(* -1 (* z (- (/ x z) 1))) |
(-.f64 z x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 137 |
| 0 | 39 | 132 |
| 1 | 156 | 129 |
| 2 | 1124 | 129 |
| 0 | 8923 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(/.f64 x z) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) |
(/.f64 #s(literal -1 binary64) z) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)) |
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)))) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)))) (fma.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (fma.f64 (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))) (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z) (fma.f64 (/.f64 (neg.f64 x) z) y y)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z) (fma.f64 (/.f64 (neg.f64 y) z) x y)) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z) (fma.f64 (/.f64 (neg.f64 x) z) y y)) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z) (fma.f64 (/.f64 (neg.f64 y) z) x y)) |
(fma.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (neg.f64 x) z) y y)) |
(fma.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (neg.f64 y) z) x y)) |
(fma.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x z) y) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) z) y) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) y) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) z) y) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) y) |
(fma.f64 (/.f64 x (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) |
(fma.f64 (/.f64 x (/.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) z) x) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) x) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) y) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) z) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) y) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (/.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) y) |
(fma.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) y) |
(fma.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 x) z) y y)) |
(fma.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 y) z) x y)) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)) (fma.f64 (/.f64 (neg.f64 x) z) y y)) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)) (fma.f64 (/.f64 (neg.f64 y) z) x y)) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) z) y) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 z))) y) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) z)) y) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (neg.f64 z))) y) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) z)) y) |
(fma.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z y z))) y) |
(fma.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y y y) z z))) y) |
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y z)) y) |
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y y) z z)) y) |
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(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 z x))) y) |
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(/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 (neg.f64 x) z)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x)) (*.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) z)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (fma.f64 #s(literal -1 binary64) z x))) (neg.f64 (neg.f64 (+.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 x x))) (*.f64 (+.f64 z x) (+.f64 z x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(/.f64 (*.f64 (+.f64 z x) (fma.f64 #s(literal -1 binary64) z x)) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (+.f64 z x)) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (*.f64 x (+.f64 z x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) z x)) |
(fma.f64 (*.f64 z z) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 z x)))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))))) |
(fma.f64 (neg.f64 z) #s(literal -1 binary64) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x z) |
(fma.f64 #s(literal 1 binary64) z (neg.f64 x)) |
(fma.f64 z #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 (+.f64 z #s(literal 0 binary64)) x) |
(-.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(-.f64 #s(literal 0 binary64) (-.f64 x z)) |
(-.f64 z x) |
(+.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 z x)))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))))) |
(+.f64 (neg.f64 x) z) |
(+.f64 z (neg.f64 x)) |
Compiled 28 262 to 3 352 computations (88.1% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 173 | 8 | 1 181 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 176 | 13 | 1 189 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.4% | (/.f64 (fma.f64 (-.f64 z x) y x) z) |
| ✓ | 57.4% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
| ▶ | 22.3% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
| 32.9% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) | |
| ▶ | 98.4% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
| 65.6% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) | |
| ▶ | 81.3% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
| 59.3% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) | |
| ✓ | 40.8% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| ✓ | 59.0% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
| 24.0% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) | |
| ▶ | 40.6% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
| 58.9% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x)) |
Compiled 391 to 276 computations (29.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (fma.f64 (-.f64 z x) y x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (-.f64 z x) y x) z) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) | |
| cost-diff | 0 | #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) | |
| cost-diff | 0 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 196 |
| 0 | 44 | 191 |
| 1 | 70 | 191 |
| 2 | 89 | 191 |
| 3 | 139 | 191 |
| 4 | 234 | 191 |
| 5 | 493 | 191 |
| 6 | 965 | 191 |
| 7 | 2038 | 191 |
| 8 | 3195 | 191 |
| 9 | 3601 | 191 |
| 10 | 3983 | 191 |
| 11 | 4229 | 191 |
| 12 | 4393 | 191 |
| 13 | 4442 | 191 |
| 14 | 4705 | 191 |
| 15 | 5810 | 191 |
| 16 | 5980 | 191 |
| 17 | 6112 | 191 |
| 18 | 6405 | 191 |
| 19 | 6565 | 191 |
| 20 | 6611 | 191 |
| 21 | 6821 | 191 |
| 22 | 6853 | 191 |
| 23 | 6986 | 191 |
| 24 | 7272 | 191 |
| 25 | 7719 | 191 |
| 0 | 8009 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
x |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) |
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
x |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y) |
(/.f64 x z) |
x |
z |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
z |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
z |
x |
y |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (fma.f64 (-.f64 z x) y x) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
x |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) |
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
x |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y) |
(/.f64 x z) |
x |
z |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
z |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
z |
x |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 (-.f64 z x) y x) | |
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 8.055805281678444 | (/.f64 (fma.f64 (-.f64 z x) y x) z) | |
| accuracy | 0.015625 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) | |
| accuracy | 8.055805281678444 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) | |
| accuracy | 25.032875887629046 | #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) | |
| accuracy | 33.89833314571773 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) | |
| accuracy | 0.03125 | (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y) | |
| accuracy | 29.637866862642692 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) | |
| accuracy | 1.080926279623259 | (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) | |
| accuracy | 25.95230570455745 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) | |
| accuracy | 29.637866862642692 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) | |
| accuracy | 0.015625 | (/.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 1.0253973265459608 | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
| 64.0ms | 256× | 0 | valid |
Compiled 334 to 51 computations (84.7% saved)
ival-sub: 18.0ms (39.2% of total)ival-div: 12.0ms (26.1% of total)ival-add: 7.0ms (15.3% of total)ival-mult: 7.0ms (15.3% of total)ival-neg: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) |
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y) |
(/.f64 x z) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
#s(approx (- 1 y) (neg.f64 y)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
| Outputs |
|---|
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/ (* x (- 1 y)) z) |
(/ x z) |
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(* x (- 1 y)) |
z |
(+ z (* -1 x)) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (- (/ 1 z) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(/ 1 z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
1 |
(+ 1 (* -1 y)) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
x |
(+ x (* y (- z x))) |
(+ x (* -1 (* x y))) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* -1 (/ y z)) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (- (/ x z) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (- 1 y) z) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(- z x) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (/ (* x (- 1 y)) z)) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (- (/ x z) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x)) |
| 1.0ms | z | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x)) |
| 1.0ms | x | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x)) |
| 1.0ms | x | @ | inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x)) |
| 1.0ms | z | @ | 0 | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 397 |
| 1 | 460 | 397 |
| 2 | 1352 | 397 |
| 3 | 3921 | 397 |
| 4 | 6327 | 397 |
| 0 | 8200 | 372 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/ (* x (- 1 y)) z) |
(/ x z) |
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(* x (- 1 y)) |
z |
(+ z (* -1 x)) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (- (/ 1 z) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(/ 1 z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
1 |
(+ 1 (* -1 y)) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
x |
(+ x (* y (- z x))) |
(+ x (* -1 (* x y))) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* -1 (/ y z)) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (- (/ x z) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (- 1 y) z) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(- z x) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (/ (* x (- 1 y)) z)) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (- (/ x z) 1))) |
| Outputs |
|---|
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ x z) |
(/.f64 x z) |
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (- (/ 1 z) (/ y z))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ z x) 1)) |
(-.f64 z x) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(-.f64 z x) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
x |
(+ x (* y (- z x))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (* y (- z x)) z) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y (+ 1 (* -1 (/ x z)))) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- (+ z (/ x y)) x)) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* y (- (/ x z) 1))) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(- z x) |
(-.f64 z x) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(fma.f64 (-.f64 z x) y x) |
(* z (+ 1 (* -1 (/ x z)))) |
(-.f64 z x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* z (- (/ x z) 1))) |
(-.f64 z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 172 |
| 0 | 44 | 167 |
| 1 | 170 | 167 |
| 2 | 1105 | 167 |
| 0 | 8642 | 167 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) |
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y) |
(/.f64 x z) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
#s(approx (- 1 y) (neg.f64 y)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) (neg.f64 y)))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (+.f64 y (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) (neg.f64 y))) (/.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) (neg.f64 y)))) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)))) (fma.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) (neg.f64 y))) (/.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) (neg.f64 y))) (fma.f64 (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) (neg.f64 y))) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 y (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) (neg.f64 y))) (*.f64 (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) (neg.f64 y)) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (+.f64 y (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) (neg.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)) (pow.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)))) |
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(-.f64 z x) |
(+.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 z x)))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))))) |
(+.f64 (neg.f64 x) z) |
(+.f64 z (neg.f64 x)) |
Compiled 16 085 to 1 958 computations (87.8% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 603 | 2 | 605 |
| Fresh | 1 | 4 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 606 | 12 | 618 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.4% | (/.f64 (fma.f64 (-.f64 z x) y x) z) |
| ✓ | 57.4% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
| ▶ | 32.9% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
| ▶ | 62.4% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
| ✓ | 81.3% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
| 59.3% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) | |
| ✓ | 40.8% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| ✓ | 59.0% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
| ▶ | 24.0% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
| ✓ | 40.6% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
| ▶ | 58.9% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x)) |
| ▶ | 26.1% | #s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))) |
Compiled 320 to 224 computations (30% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x)) | |
| cost-diff | 320 | (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 x) z) y) | |
| cost-diff | 0 | #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ x (* y (- z x))) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 228 |
| 0 | 45 | 228 |
| 1 | 79 | 226 |
| 2 | 135 | 222 |
| 3 | 256 | 222 |
| 4 | 463 | 222 |
| 5 | 1018 | 222 |
| 6 | 1971 | 222 |
| 7 | 2898 | 222 |
| 8 | 3768 | 222 |
| 9 | 4509 | 222 |
| 10 | 4850 | 222 |
| 11 | 5064 | 222 |
| 12 | 5082 | 222 |
| 13 | 5085 | 222 |
| 14 | 5677 | 222 |
| 15 | 6689 | 222 |
| 16 | 6975 | 222 |
| 17 | 7037 | 222 |
| 18 | 7041 | 222 |
| 19 | 7049 | 222 |
| 20 | 7225 | 222 |
| 21 | 7393 | 222 |
| 22 | 7429 | 222 |
| 23 | 7429 | 222 |
| 0 | 8463 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
(fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) |
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
x |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
y |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) |
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
x |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
x |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) |
(fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) |
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) |
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
x |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
y |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) |
(*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) |
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
x |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.140625 | (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 1.080926279623259 | (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x) | |
| accuracy | 25.95230570455745 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) | |
| accuracy | 1.080926279623259 | (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) | |
| accuracy | 25.95230570455745 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) | |
| accuracy | 33.89833314571773 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 4.822491436854723 | (*.f64 (/.f64 (neg.f64 x) z) y) | |
| accuracy | 25.95230570455745 | #s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))) | |
| accuracy | 29.252184203685562 | #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 8.055805281678444 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) | |
| accuracy | 35.726183284504934 | #s(approx (+ x (* y (- z x))) (*.f64 z y)) | |
| accuracy | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) | |
| accuracy | 1.0253973265459608 | (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) | |
| accuracy | 33.89833314571773 | #s(approx (- 1 y) (neg.f64 y)) |
| 57.0ms | 256× | 0 | valid |
Compiled 378 to 57 computations (84.9% saved)
ival-mult: 23.0ms (56.8% of total)ival-div: 9.0ms (22.2% of total)ival-sub: 4.0ms (9.9% of total)ival-add: 2.0ms (4.9% of total)ival-neg: 2.0ms (4.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
(fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) |
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z) |
#s(approx (- 1 y) (neg.f64 y)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (neg.f64 x) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x) |
(-.f64 y #s(literal 1 binary64)) |
(neg.f64 x) |
| Outputs |
|---|
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(/ (* x (- 1 y)) z) |
(* -1 (/ (* x y) z)) |
(* -1 (/ x z)) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 x) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (- (/ 1 z) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(/ 1 z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
1 |
(+ 1 (* -1 y)) |
x |
(+ x (* y (- z x))) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
-1 |
(- y 1) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* -1 (/ y z)) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(* y (- 1 (/ 1 y))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (- (/ x z) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(* -1 (* y (- (/ 1 y) 1))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (- 1 y) z) |
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(* -1 (/ (- y 1) z)) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (/ (* x (- 1 y)) z)) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (* (/ (neg x) z) y) (/ (neg x) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (* (- y 1) (/ -1 z)) (/ (+ x (* y (- z x))) z) (* (* (- y 1) (/ -1 z)) x) (- y 1) (neg x)) |
| 3.0ms | z | @ | 0 | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (* (/ (neg x) z) y) (/ (neg x) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (* (- y 1) (/ -1 z)) (/ (+ x (* y (- z x))) z) (* (* (- y 1) (/ -1 z)) x) (- y 1) (neg x)) |
| 3.0ms | z | @ | inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (* (/ (neg x) z) y) (/ (neg x) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (* (- y 1) (/ -1 z)) (/ (+ x (* y (- z x))) z) (* (* (- y 1) (/ -1 z)) x) (- y 1) (neg x)) |
| 3.0ms | x | @ | 0 | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (* (/ (neg x) z) y) (/ (neg x) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (* (- y 1) (/ -1 z)) (/ (+ x (* y (- z x))) z) (* (* (- y 1) (/ -1 z)) x) (- y 1) (neg x)) |
| 2.0ms | z | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (* (/ (neg x) z) y) (/ (neg x) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (* (- y 1) (/ -1 z)) (/ (+ x (* y (- z x))) z) (* (* (- y 1) (/ -1 z)) x) (- y 1) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 378 |
| 1 | 411 | 378 |
| 2 | 1204 | 378 |
| 3 | 3510 | 378 |
| 4 | 6161 | 378 |
| 0 | 8096 | 353 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(/ (* x (- 1 y)) z) |
(* -1 (/ (* x y) z)) |
(* -1 (/ x z)) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 x) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (- (/ 1 z) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(/ 1 z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
1 |
(+ 1 (* -1 y)) |
x |
(+ x (* y (- z x))) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
-1 |
(- y 1) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* -1 (/ y z)) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(* y (- 1 (/ 1 y))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (- (/ x z) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(* -1 (* y (- (/ 1 y) 1))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (- 1 y) z) |
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(* -1 (/ (- y 1) z)) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (/ (* x (- 1 y)) z)) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
| Outputs |
|---|
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(/ (* x (- 1 y)) z) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ (* x (- y 1)) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
(* -1 x) |
(neg.f64 x) |
(/ (* x (+ 1 (* -1 y))) z) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(* x (- (/ 1 z) (/ y z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(/ x z) |
(/.f64 x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
x |
(+ x (* y (- z x))) |
(fma.f64 (-.f64 z x) y x) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(/ (* y (- z x)) z) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* -1 (/ x z)))) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- (+ z (/ x y)) x)) |
(fma.f64 (-.f64 z x) y x) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
(* y (- 1 (/ 1 y))) |
(-.f64 y #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(* -1 (* y (- (/ x z) 1))) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(/ (+ x (* -1 (* x y))) z) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (/ (- y 1) z)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(fma.f64 (-.f64 z x) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 191 |
| 0 | 45 | 191 |
| 1 | 163 | 188 |
| 2 | 1088 | 185 |
| 0 | 8913 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
(fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) |
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z) |
#s(approx (- 1 y) (neg.f64 y)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (neg.f64 x) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x) |
(-.f64 y #s(literal 1 binary64)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) |
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 (neg.f64 x) z) y))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y)))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) (*.f64 (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y)) (pow.f64 (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))) (/.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y)))) (*.f64 (/.f64 (*.f64 y y) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))) (/.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 (neg.f64 x) z) y))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))) (*.f64 (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y)) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64))) (-.f64 y (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 (neg.f64 x) z) y)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 (neg.f64 x) z) y))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) (pow.f64 (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) #s(literal -1 binary64)) (neg.f64 x) y) |
(fma.f64 (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) #s(literal 1 binary64)) x y) |
(fma.f64 (/.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) #s(literal -1 binary64)) (/.f64 x z) y) |
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 y #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal -1 binary64) (neg.f64 y)) |
(-.f64 y #s(literal 1 binary64)) |
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (neg.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64))) |
(+.f64 #s(literal -1 binary64) y) |
(+.f64 y #s(literal -1 binary64)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 19 401 to 2 543 computations (86.9% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 746 | 2 | 748 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 748 | 12 | 760 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.4% | (/.f64 (fma.f64 (-.f64 z x) y x) z) |
| ✓ | 57.4% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
| ✓ | 32.9% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
| ✓ | 62.4% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
| ✓ | 81.3% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
| 26.1% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 z x))) | |
| ✓ | 40.8% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| ✓ | 59.0% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
| ✓ | 24.0% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
| ✓ | 40.6% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
| ✓ | 26.1% | #s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))) |
| 26.1% | #s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) x) y))) |
Compiled 578 to 227 computations (60.7% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 (-.f64 z x) y) z)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
#s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) x) y))) |
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 z x))) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
4 calls:
| 12.0ms | x |
| 10.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 6.0ms | z |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
Compiled 12 to 16 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 (-.f64 z x) y) z)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) |
4 calls:
| 7.0ms | x |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 3 | x |
| 99.1% | 3 | y |
| 88.6% | 3 | z |
| 91.0% | 3 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
Compiled 12 to 16 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 (-.f64 z x) y) z)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 (-.f64 z x) y) z)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
2 calls:
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 3 | x |
| 86.9% | 3 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y))) |
4 calls:
| 4.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 1 | y |
| 81.3% | 1 | z |
| 81.3% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 84.3% | 2 | x |
Compiled 12 to 16 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
2 calls:
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 1 | y |
| 81.3% | 1 | x |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
| Outputs |
|---|
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
4 calls:
| 3.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.6% | 3 | z |
| 47.2% | 3 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 53.6% | 3 | x |
| 56.1% | 3 | y |
Compiled 12 to 16 computations (-33.3% saved)
Total -0.1b remaining (-0.2%)
Threshold costs -0.1b (-0.2%)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
4 calls:
| 2.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.8% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 40.8% | 1 | z |
| 40.8% | 1 | x |
| 40.8% | 1 | y |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.003842228391615053 | 10171461.650583157 |
| 19.0ms | -8448805.225842915 | -319.54590974129496 |
| 21.0ms | 272× | 0 | valid |
Compiled 709 to 523 computations (26.2% saved)
ival-add: 9.0ms (61.4% of total)ival-sub: 2.0ms (13.7% of total)ival-div: 2.0ms (13.7% of total)ival-mult: 2.0ms (13.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.003842228391615053 | 10171461.650583157 |
| 1.0ms | -8448805.225842915 | -319.54590974129496 |
Compiled 709 to 523 computations (26.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 6.930846285291918e+135 | 2.6919409544349465e+146 |
| 9.0ms | -4.4259891294026643e-10 | -2.92815583662187e-10 |
| 14.0ms | 224× | 0 | valid |
Compiled 530 to 405 computations (23.6% saved)
ival-mult: 4.0ms (47.3% of total)ival-sub: 1.0ms (11.8% of total)ival-div: 1.0ms (11.8% of total)ival-add: 1.0ms (11.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 4.606151086193206e+244 | 9.60578659625662e+244 |
| 4.0ms | 80× | 0 | valid |
Compiled 232 to 173 computations (25.4% saved)
ival-div: 1.0ms (52.2% of total)ival-mult: 1.0ms (52.2% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 0.003842228391615053 | 10171461.650583157 |
| 10.0ms | -2.9079494576554443e-22 | -9.715209498265638e-25 |
| 50.0ms | 240× | 0 | valid |
Compiled 454 to 353 computations (22.2% saved)
ival-mult: 40.0ms (90.1% of total)ival-div: 2.0ms (4.5% of total)ival-sub: 1.0ms (2.3% of total)ival-add: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 348 |
| 1 | 71 | 348 |
| 2 | 84 | 348 |
| 3 | 96 | 348 |
| 4 | 101 | 348 |
| 5 | 103 | 348 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
(if (<=.f64 y #s(literal -320 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)))) |
(if (<=.f64 y #s(literal -320 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)))) |
(if (<=.f64 x #s(literal -8510837770086989/19342813113834066795298816 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 669999999999999988951048428254870525325533017822387844573015847379299530389748193294191319655010075238785646219731789458133887473753784320 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)))) |
(if (<=.f64 x #s(literal 88000000000000000504726859135544950241984859603875565726136022848474022966028309254447617959900228640560370269271130418756450133774287281109830329865086209242022232080308632499385007636950670495434577167283223799137320984736083387358331243855872 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y)))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
(if (<=.f64 y #s(literal -2381976568446569/680564733841876926926749214863536422912 binary64)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) (if (<=.f64 y #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z))) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
(if (<=.f64 y #s(literal -320 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)))) |
(if (<=.f64 y #s(literal -320 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)))) |
(if (<=.f64 x #s(literal -8510837770086989/19342813113834066795298816 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 669999999999999988951048428254870525325533017822387844573015847379299530389748193294191319655010075238785646219731789458133887473753784320 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)))) |
(if (<=.f64 x #s(literal 88000000000000000504726859135544950241984859603875565726136022848474022966028309254447617959900228640560370269271130418756450133774287281109830329865086209242022232080308632499385007636950670495434577167283223799137320984736083387358331243855872 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) #s(approx (* (/ (- 1 y) z) x) (*.f64 (/.f64 (neg.f64 x) z) y)))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
(if (<=.f64 y #s(literal -2381976568446569/680564733841876926926749214863536422912 binary64)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) (if (<=.f64 y #s(literal 1152921504606847/288230376151711744 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z))) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 316 |
| 1 | 346 | 257 |
| 2 | 1045 | 241 |
| 3 | 3268 | 241 |
| 4 | 5757 | 241 |
| 5 | 7633 | 241 |
| 0 | 8031 | 224 |
| 0 | 145 | 397 |
| 1 | 460 | 397 |
| 2 | 1352 | 397 |
| 3 | 3921 | 397 |
| 4 | 6327 | 397 |
| 0 | 8200 | 372 |
| 0 | 178 | 538 |
| 1 | 574 | 517 |
| 2 | 1602 | 508 |
| 3 | 4711 | 508 |
| 4 | 7413 | 508 |
| 0 | 8080 | 482 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 476 to 198 computations (58.4% saved)
Compiled 736 to 148 computations (79.9% saved)
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