
Time bar (total: 6.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 9 computations (18.2% saved)
| 558.0ms | 8 256× | 0 | valid |
ival-div: 167.0ms (47.4% of total)ival-mult: 79.0ms (22.4% of total)ival-sub: 54.0ms (15.3% of total)ival-add: 42.0ms (11.9% of total)ival-true: 7.0ms (2% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 29 | 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 | 29 | 0 |
| ↳ | (+.f64 x (*.f64 y (-.f64 z x))) | overflow | 46 | |
| ↳ | (*.f64 y (-.f64 z x)) | overflow | 46 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 29 | 0 |
| - | 0 | 227 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 29 | 0 | 0 |
| - | 0 | 0 | 227 |
| number | freq |
|---|---|
| 0 | 227 |
| 1 | 29 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 101.0ms | 512× | 0 | valid |
Compiled 94 to 32 computations (66% saved)
ival-sub: 59.0ms (85.8% of total)ival-div: 3.0ms (4.4% of total)ival-mult: 3.0ms (4.4% of total)ival-add: 2.0ms (2.9% 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 | 92 |
| 1 | 91 | 92 |
| 2 | 232 | 88 |
| 3 | 470 | 88 |
| 4 | 839 | 88 |
| 5 | 950 | 88 |
| 6 | 950 | 88 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 19 | 9 |
| 2 | 34 | 9 |
| 3 | 60 | 9 |
| 4 | 95 | 9 |
| 5 | 120 | 9 |
| 6 | 134 | 9 |
| 7 | 142 | 9 |
| 8 | 154 | 9 |
| 9 | 165 | 9 |
| 10 | 178 | 9 |
| 0 | 178 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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 |
|---|---|---|
| ▶ | 89.3% | (/.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 | 1 | (+.f64 x (*.f64 y (-.f64 z x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 27 |
| 0 | 11 | 27 |
| 1 | 19 | 27 |
| 2 | 34 | 27 |
| 3 | 60 | 27 |
| 4 | 95 | 27 |
| 5 | 120 | 27 |
| 6 | 134 | 27 |
| 7 | 142 | 27 |
| 8 | 154 | 27 |
| 9 | 165 | 27 |
| 10 | 178 | 27 |
| 0 | 178 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 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 | 0.0 | (-.f64 z x) | |
| accuracy | 0.0078125 | (+.f64 x (*.f64 y (-.f64 z x))) | |
| accuracy | 0.01953125 | (*.f64 y (-.f64 z x)) | |
| accuracy | 6.819513027014216 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 13.0ms | 256× | 0 | valid |
Compiled 56 to 16 computations (71.4% saved)
ival-div: 2.0ms (32.2% of total)ival-mult: 2.0ms (32.2% of total)ival-sub: 1.0ms (16.1% of total)ival-add: 1.0ms (16.1% 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 | |
|---|---|---|---|---|
| 11.0ms | y | @ | -inf | ((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x)) |
| 2.0ms | 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 326 |
| 1 | 371 | 245 |
| 2 | 1249 | 245 |
| 3 | 4274 | 245 |
| 4 | 7887 | 245 |
| 0 | 8017 | 230 |
| 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)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -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)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -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) z) y) |
(* 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 | 45 | 24 |
| 2 | 325 | 24 |
| 3 | 3755 | 24 |
| 0 | 8301 | 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 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 z x) y) (fma.f64 (-.f64 z x) y x) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (fma.f64 (-.f64 z x) y 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 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (-.f64 z x) y) 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 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y)) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x)) (/.f64 (fma.f64 (-.f64 z x) y x) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x)) (/.f64 (fma.f64 (-.f64 z x) y x) (neg.f64 (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))))) |
(*.f64 (fma.f64 (-.f64 z x) y x) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (-.f64 x (*.f64 (-.f64 z x) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (-.f64 z x) y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal 2 binary64))) (fma.f64 (-.f64 z x) y x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 2 binary64))) (fma.f64 (-.f64 z x) y x)) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64)) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (-.f64 z x) y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (-.f64 z x) y)))) (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (-.f64 z x) y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 (*.f64 (-.f64 z x) y) x)) |
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(/.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 (*.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 (fma.f64 z z (*.f64 x x)) (+.f64 z x))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 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 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 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 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 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 (+.f64 z x) x (*.f64 z z)))) |
(/.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 (+.f64 z x) x (*.f64 z z))) |
(neg.f64 (neg.f64 (-.f64 z x))) |
(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)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 z x))) |
(fma.f64 (/.f64 (*.f64 z z) (*.f64 (+.f64 z x) (-.f64 z x))) (-.f64 z x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 z x))) |
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 z) (+.f64 z x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 z x))) |
(fma.f64 z (/.f64 z (+.f64 z x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 z 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 z x) |
(+.f64 (*.f64 z (/.f64 z (+.f64 z x))) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 z x))) |
Compiled 8 731 to 1 195 computations (86.3% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 325 | 8 | 333 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 326 | 8 | 334 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 46.6% | (/.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z) |
| ▶ | 54.1% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
| 36.6% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) | |
| 57.7% | (*.f64 (fma.f64 (-.f64 z x) y x) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (*.f64 (-.f64 x (*.f64 (-.f64 z x) y)) z))) | |
| ▶ | 99.9% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
| ▶ | 37.2% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| 70.0% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) | |
| ▶ | 54.1% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
Compiled 266 to 164 computations (38.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 z x) y) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (-.f64 z x) y)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z) | |
| cost-diff | 8 | (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.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 | 24 | 177 |
| 0 | 38 | 163 |
| 1 | 67 | 163 |
| 2 | 112 | 163 |
| 3 | 196 | 163 |
| 4 | 282 | 163 |
| 5 | 344 | 163 |
| 6 | 364 | 163 |
| 7 | 373 | 163 |
| 8 | 379 | 163 |
| 9 | 383 | 163 |
| 0 | 383 | 156 |
| 1× | iter limit |
| 1× | saturated |
| 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 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) |
(sqrt.f64 (*.f64 (-.f64 z x) y)) |
(*.f64 (-.f64 z x) y) |
(-.f64 z x) |
z |
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) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) |
(fma.f64 (-.f64 z x) y x) |
(sqrt.f64 (*.f64 (-.f64 z x) y)) |
(*.f64 (-.f64 z x) y) |
(-.f64 z x) |
z |
x |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 (-.f64 z x) y) | |
| accuracy | 0.12957001953688405 | (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) | |
| accuracy | 3.0875782035208035 | (/.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z) | |
| accuracy | 5.985309138184056 | (sqrt.f64 (*.f64 (-.f64 z x) y)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| accuracy | 3.0875782035208035 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) | |
| accuracy | 14.947597993792222 | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| accuracy | 0.0 | (/.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 1.9263912970059733 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) | |
| accuracy | 15.09325190216433 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 21.684814877663577 | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0 | #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) |
| 25.0ms | 126× | 0 | valid |
| 19.0ms | 130× | 0 | invalid |
Compiled 326 to 46 computations (85.9% saved)
ival-mult: 8.0ms (34.4% of total)ival-div: 6.0ms (25.8% of total)ival-add: 4.0ms (17.2% of total)ival-sub: 3.0ms (12.9% of total)ival-sqrt: 2.0ms (8.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ 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) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z) |
(sqrt.f64 (*.f64 (-.f64 z x) y)) |
(*.f64 (-.f64 z x) y) |
| 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)) |
(sqrt (* y z)) |
(+ (sqrt (* y z)) (* -1/2 (* x (sqrt (/ y z))))) |
(+ (sqrt (* y z)) (* x (+ (* -1/2 (sqrt (/ y z))) (* -1/8 (* x (sqrt (/ y (pow z 3)))))))) |
(+ (sqrt (* y z)) (* x (+ (* -1/2 (sqrt (/ y z))) (* x (+ (* -1/8 (sqrt (/ y (pow z 3)))) (* -1/16 (* x (sqrt (/ y (pow z 5)))))))))) |
(+ (* -1 (* x y)) (* y z)) |
(/ (* 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)))) |
(* (sqrt (* x y)) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ y (pow x 7))) (/ (pow z 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -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 (* (sqrt (* x y)) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ y (pow x 7))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))))) |
(* -1 (* x (+ y (* -1 (/ (* y 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))) |
(sqrt (* y (- z x))) |
(* y (- 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)) x)) |
(* 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 (/ 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 (* (pow (sqrt -1) 2) (- z x)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* (pow (sqrt -1) 2) (- z x))))) |
(* -1 (/ (* y (* (pow (sqrt -1) 2) (- z x))) z)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ (* (pow (sqrt -1) 2) (- z x)) z)))) |
(* -1 (* (sqrt (* y (- z x))) (pow (sqrt -1) 2))) |
(/ (+ 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))) |
(+ (* 1/2 (* (sqrt (/ y x)) (/ z (sqrt -1)))) (* (sqrt (* x y)) (sqrt -1))) |
(+ (* z (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ z (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ y x)) (/ 1 (sqrt -1)))))) (* (sqrt (* x y)) (sqrt -1))) |
(+ (* z (+ (* 1/2 (* (sqrt (/ y x)) (/ 1 (sqrt -1)))) (* z (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ y (pow x 5))) (/ z (pow (sqrt -1) 5)))))))) (* (sqrt (* x y)) (sqrt -1))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (/ (* x (- 1 y)) z)) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ (sqrt (/ y z)) (* -1/2 (* x (sqrt (/ y (pow z 3))))))) |
(* z (+ (sqrt (/ y z)) (+ (* -1/2 (* x (sqrt (/ y (pow z 3))))) (* -1/8 (* (pow x 2) (sqrt (/ y (pow z 5)))))))) |
(* z (+ (sqrt (/ y z)) (+ (* -1/2 (* x (sqrt (/ y (pow z 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ y (pow z 5))))) (* -1/16 (* (pow x 3) (sqrt (/ y (pow z 7))))))))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* y (* z (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* x (* y (pow (sqrt -1) 2)))) z)) (* y (pow (sqrt -1) 2))))) |
(* -1 (* y (pow (sqrt -1) 2))) |
(+ (* -1 (* y (pow (sqrt -1) 2))) (+ (/ x z) (/ (* x (* y (pow (sqrt -1) 2))) z))) |
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2)))))) |
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2))))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | 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) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (sqrt (* (- z x) y)) (* (- z x) y)) |
| 4.0ms | z | @ | 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) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (sqrt (* (- z x) y)) (* (- z x) y)) |
| 4.0ms | 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) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (sqrt (* (- z x) y)) (* (- z x) y)) |
| 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) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (sqrt (* (- z x) y)) (* (- z x) y)) |
| 3.0ms | 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) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (sqrt (* (- z x) y)) (* (- z x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 1323 |
| 1 | 1084 | 1197 |
| 2 | 4226 | 1182 |
| 0 | 8409 | 1126 |
| 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)) |
(sqrt (* y z)) |
(+ (sqrt (* y z)) (* -1/2 (* x (sqrt (/ y z))))) |
(+ (sqrt (* y z)) (* x (+ (* -1/2 (sqrt (/ y z))) (* -1/8 (* x (sqrt (/ y (pow z 3)))))))) |
(+ (sqrt (* y z)) (* x (+ (* -1/2 (sqrt (/ y z))) (* x (+ (* -1/8 (sqrt (/ y (pow z 3)))) (* -1/16 (* x (sqrt (/ y (pow z 5)))))))))) |
(+ (* -1 (* x y)) (* y z)) |
(/ (* 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)))) |
(* (sqrt (* x y)) (sqrt -1)) |
(* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))) |
(* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))) |
(* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ y (pow x 7))) (/ (pow z 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -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 (* (sqrt (* x y)) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ y (pow x 7))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))))) |
(* -1 (* x (+ y (* -1 (/ (* y 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))) |
(sqrt (* y (- z x))) |
(* y (- 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)) x)) |
(* 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 (/ 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 (* (pow (sqrt -1) 2) (- z x)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* (pow (sqrt -1) 2) (- z x))))) |
(* -1 (/ (* y (* (pow (sqrt -1) 2) (- z x))) z)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ (* (pow (sqrt -1) 2) (- z x)) z)))) |
(* -1 (* (sqrt (* y (- z x))) (pow (sqrt -1) 2))) |
(/ (+ 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))) |
(+ (* 1/2 (* (sqrt (/ y x)) (/ z (sqrt -1)))) (* (sqrt (* x y)) (sqrt -1))) |
(+ (* z (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ z (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ y x)) (/ 1 (sqrt -1)))))) (* (sqrt (* x y)) (sqrt -1))) |
(+ (* z (+ (* 1/2 (* (sqrt (/ y x)) (/ 1 (sqrt -1)))) (* z (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ y (pow x 5))) (/ z (pow (sqrt -1) 5)))))))) (* (sqrt (* x y)) (sqrt -1))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (/ (* x (- 1 y)) z)) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ (sqrt (/ y z)) (* -1/2 (* x (sqrt (/ y (pow z 3))))))) |
(* z (+ (sqrt (/ y z)) (+ (* -1/2 (* x (sqrt (/ y (pow z 3))))) (* -1/8 (* (pow x 2) (sqrt (/ y (pow z 5)))))))) |
(* z (+ (sqrt (/ y z)) (+ (* -1/2 (* x (sqrt (/ y (pow z 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ y (pow z 5))))) (* -1/16 (* (pow x 3) (sqrt (/ y (pow z 7))))))))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* y (* z (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* x (* y (pow (sqrt -1) 2)))) z)) (* y (pow (sqrt -1) 2))))) |
(* -1 (* y (pow (sqrt -1) 2))) |
(+ (* -1 (* y (pow (sqrt -1) 2))) (+ (/ x z) (/ (* x (* y (pow (sqrt -1) 2))) z))) |
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2)))))) |
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2))))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
| Outputs |
|---|
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ 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) |
(sqrt (* y z)) |
(sqrt.f64 (*.f64 z y)) |
(+ (sqrt (* y z)) (* -1/2 (* x (sqrt (/ y z))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 y z)) (sqrt.f64 (*.f64 z y))) |
(+ (sqrt (* y z)) (* x (+ (* -1/2 (sqrt (/ y z))) (* -1/8 (* x (sqrt (/ y (pow z 3)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal -1/2 binary64))) x (sqrt.f64 (*.f64 z y))) |
(+ (sqrt (* y z)) (* x (+ (* -1/2 (sqrt (/ y z))) (* x (+ (* -1/8 (sqrt (/ y (pow z 3)))) (* -1/16 (* x (sqrt (/ y (pow z 5)))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal -1/2 binary64))) x (sqrt.f64 (*.f64 z y))) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (/.f64 y x)) x) |
(* x (- (/ 1 z) (/ y z))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (/.f64 y x)) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(*.f64 (fma.f64 z (/.f64 y x) (-.f64 #s(literal 1 binary64) y)) x) |
(* (sqrt (* x y)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 y x))) |
(* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64)))) x) |
(* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64))))) x) |
(* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (/ (pow z 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ y (pow x 7))) (/ (pow z 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (/ z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64)))))) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) z) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) z) (/.f64 y x)) x) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (/.f64 y x)) x) |
(* -1 (* x (- y 1))) |
(*.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(*.f64 (neg.f64 x) (-.f64 y (fma.f64 (/.f64 z x) y #s(literal 1 binary64)))) |
(* -1 (* (sqrt (* x y)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 y x))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1)))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ y (pow x 5))) (* (pow z 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ y (pow x 7))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ y (pow x 3))) (* z (sqrt -1)))) (* (sqrt (/ y x)) (sqrt -1))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(*.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) 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) |
(/ 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) |
(sqrt (* y (- z x))) |
(sqrt.f64 (*.f64 (-.f64 z x) y)) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(/ (* y (- z x)) z) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) 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 (-.f64 (/.f64 x y) x) z) y y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(* -1 (/ (* x y) z)) |
(/.f64 (*.f64 (neg.f64 y) x) z) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(*.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 #s(literal 1 binary64) z)) y) |
(* y (- (+ z (/ x y)) x)) |
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y) |
(* -1 (* y (- (/ x z) 1))) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(*.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) z) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(*.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(* -1 (* y (* (pow (sqrt -1) 2) (- z x)))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* y (+ (* -1 (/ x y)) (* (pow (sqrt -1) 2) (- z x))))) |
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y) |
(* -1 (/ (* y (* (pow (sqrt -1) 2) (- z x))) z)) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ (* (pow (sqrt -1) 2) (- z x)) z)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y) |
(* -1 (* (sqrt (* y (- z x))) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) #s(literal 1 binary64)) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ (* 1/2 (* (sqrt (/ y x)) (/ z (sqrt -1)))) (* (sqrt (* x y)) (sqrt -1))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 y x)))) |
(+ (* z (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ z (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ y x)) (/ 1 (sqrt -1)))))) (* (sqrt (* x y)) (sqrt -1))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 z (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) z (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 y x)))) |
(+ (* z (+ (* 1/2 (* (sqrt (/ y x)) (/ 1 (sqrt -1)))) (* z (+ (* -1/8 (* (sqrt (/ y (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ y (pow x 5))) (/ z (pow (sqrt -1) 5)))))))) (* (sqrt (* x y)) (sqrt -1))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) z (*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) z (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 y x)))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (/ (* x (- 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z x) y x) z) z) |
(* z (+ (sqrt (/ y z)) (* -1/2 (* x (sqrt (/ y (pow z 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 y z))) z) |
(* z (+ (sqrt (/ y z)) (+ (* -1/2 (* x (sqrt (/ y (pow z 3))))) (* -1/8 (* (pow x 2) (sqrt (/ y (pow z 5)))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 y z)))) z) |
(* z (+ (sqrt (/ y z)) (+ (* -1/2 (* x (sqrt (/ y (pow z 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ y (pow z 5))))) (* -1/16 (* (pow x 3) (sqrt (/ y (pow z 7))))))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 y z)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 7 binary64)))))) z) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (*.f64 (/.f64 (-.f64 z x) z) y) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z x) y x) z) z) |
(* -1 (* y (* z (pow (sqrt -1) 2)))) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 (/ (+ x (* x (* y (pow (sqrt -1) 2)))) z)) (* y (pow (sqrt -1) 2))))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z x) y x) z) z) |
(* -1 (* y (pow (sqrt -1) 2))) |
y |
(+ (* -1 (* y (pow (sqrt -1) 2))) (+ (/ x z) (/ (* x (* y (pow (sqrt -1) 2))) z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (*.f64 z y)) #s(literal 1 binary64)) |
(* -1 (* z (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64))) z) |
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64)))) z) |
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ y (pow z 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ y (pow z 3))))) (* (sqrt (/ y z)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64))))) z) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (*.f64 (/.f64 (-.f64 z x) z) y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 148 |
| 0 | 38 | 134 |
| 1 | 147 | 134 |
| 2 | 946 | 134 |
| 0 | 9149 | 127 |
| 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) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z) |
(sqrt.f64 (*.f64 (-.f64 z x) y)) |
(*.f64 (-.f64 z x) y) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (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 (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 (/.f64 (pow.f64 y #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 (pow.f64 y #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 (/.f64 (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 (pow.f64 y #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 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) z) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 y y (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (/.f64 (neg.f64 x) z) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (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)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #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)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (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 (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 (*.f64 (/.f64 (pow.f64 y #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 (pow.f64 y #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 (/.f64 (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 (pow.f64 y #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 (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 (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) 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)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y))) |
(/.f64 (fma.f64 (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 (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))) (pow.f64 y #s(literal 3 binary64)))) (*.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 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 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))) (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) 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) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) 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)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) 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) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) 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)))) |
(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))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) 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)) (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) 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 (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
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(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 z x) #s(literal 2 binary64)) y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 z x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 z x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 z x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (-.f64 z x))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 z x))) (neg.f64 (sqrt.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 z x))) (sqrt.f64 y)) |
(*.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 (-.f64 z x)))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 z x))) |
(*.f64 (sqrt.f64 (-.f64 z x)) (neg.f64 (neg.f64 (sqrt.f64 y)))) |
(*.f64 (sqrt.f64 (-.f64 z x)) (neg.f64 (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (+.f64 z x) (-.f64 z x)))) (sqrt.f64 (+.f64 z x))) |
(/.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 z x) y))) (sqrt.f64 (+.f64 z x))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (sqrt.f64 (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 y (+.f64 z x)) (-.f64 z x))) (sqrt.f64 (+.f64 z x))) |
(/.f64 (sqrt.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(neg.f64 (sqrt.f64 (*.f64 (-.f64 z x) y))) |
(sqrt.f64 (*.f64 (-.f64 z x) y)) |
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 z x) y))) |
(exp.f64 (/.f64 (log.f64 (*.f64 (-.f64 z x) y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 z x) y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 z x) y))))) |
(*.f64 (*.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 (-.f64 z x) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (neg.f64 (-.f64 z x)) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (neg.f64 (sqrt.f64 (-.f64 z x)))) (sqrt.f64 y)) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 y) (-.f64 z x))) (sqrt.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64))) |
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 y) (-.f64 z x))) (sqrt.f64 y)) |
(*.f64 (fabs.f64 (-.f64 z x)) y) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 z x))) #s(literal 2 binary64)) y) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 y) (-.f64 z x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 z x)) #s(literal 1 binary64)) (pow.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x))) |
(*.f64 (*.f64 (sqrt.f64 y) (-.f64 z x)) (neg.f64 (sqrt.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 y) (-.f64 z x)) (sqrt.f64 y)) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 z x))) (*.f64 y (sqrt.f64 (-.f64 z x)))) |
(*.f64 (neg.f64 (-.f64 z x)) y) |
(*.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (-.f64 z x) y)))) |
(*.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (-.f64 z x) y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (-.f64 z x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 z x))) |
(*.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (sqrt.f64 (-.f64 z x)) y)) |
(*.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (*.f64 (-.f64 z x) y)))) |
(*.f64 (sqrt.f64 (-.f64 z x)) (neg.f64 (*.f64 y (sqrt.f64 (-.f64 z x))))) |
(*.f64 (sqrt.f64 (-.f64 z x)) (fabs.f64 (*.f64 y (sqrt.f64 (-.f64 z x))))) |
(*.f64 (sqrt.f64 (-.f64 z x)) (*.f64 y (sqrt.f64 (-.f64 z x)))) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y))) |
(*.f64 (-.f64 z x) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 2 binary64))) |
(*.f64 (-.f64 z x) (neg.f64 y)) |
(*.f64 (-.f64 z x) y) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y)) |
(*.f64 y (*.f64 #s(literal 1 binary64) (-.f64 z x))) |
(*.f64 y (fabs.f64 (-.f64 z x))) |
(*.f64 y (neg.f64 (-.f64 z x))) |
(*.f64 y (-.f64 z x)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (-.f64 z x) y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 y (fma.f64 (neg.f64 z) z (*.f64 x x))) (neg.f64 (+.f64 z x))) |
(/.f64 (*.f64 y (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 (neg.f64 y) (fma.f64 (neg.f64 z) z (*.f64 x x))) (neg.f64 (+.f64 z x))) |
(/.f64 (*.f64 (neg.f64 y) (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 (neg.f64 (*.f64 (neg.f64 y) (*.f64 (+.f64 z x) (-.f64 z x)))) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (-.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 (neg.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 z x) y))) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 z x) y))) (+.f64 z x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (fma.f64 z z (*.f64 x (+.f64 z x)))) |
(/.f64 (fabs.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 z x) y))) (fabs.f64 (+.f64 z x))) |
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (fabs.f64 (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 y (+.f64 z x)) (-.f64 z x))) (fabs.f64 (+.f64 z x))) |
(/.f64 (fabs.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(/.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 z x) y)) (neg.f64 (+.f64 z x))) |
(/.f64 (*.f64 (+.f64 z x) (*.f64 (-.f64 z x) y)) (+.f64 z x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 z z (*.f64 x (+.f64 z x)))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 (+.f64 z x) (-.f64 z x))) (neg.f64 (+.f64 z x))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 (+.f64 z x) (-.f64 z x))) (+.f64 z x)) |
(/.f64 (*.f64 (neg.f64 y) (-.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 (neg.f64 y) (-.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 (*.f64 (*.f64 y (+.f64 z x)) (-.f64 z x)) (neg.f64 (+.f64 z x))) |
(/.f64 (*.f64 (*.f64 y (+.f64 z x)) (-.f64 z x)) (+.f64 z x)) |
(/.f64 (*.f64 y (-.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 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x (+.f64 z x)))) |
(neg.f64 (*.f64 (-.f64 z x) y)) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (-.f64 z x) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 z x) y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 (-.f64 z x) y))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (-.f64 z x) y))) (sinh.f64 (log.f64 (*.f64 (-.f64 z x) y)))) |
Compiled 19 980 to 2 336 computations (88.3% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 697 | 9 | 706 |
| Fresh | 3 | 0 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 703 | 11 | 714 |
| Status | Accuracy | Program |
|---|---|---|
| 48.0% | (/.f64 (fma.f64 (*.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x) z) | |
| ▶ | 36.6% | (/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z) |
| ✓ | 54.1% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
| ▶ | 23.8% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
| ▶ | 44.7% | #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
| 70.0% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) | |
| ▶ | 79.7% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
| ▶ | 37.9% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z))) |
| ✓ | 37.2% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| 23.9% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) | |
| 37.1% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
Compiled 370 to 242 computations (34.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 x (-.f64 z (*.f64 z y))) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z))) | |
| cost-diff | 4 | (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z 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 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z) | |
| cost-diff | 0 | #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) | |
| 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 213 |
| 0 | 44 | 189 |
| 1 | 81 | 189 |
| 2 | 185 | 185 |
| 3 | 518 | 181 |
| 4 | 1486 | 181 |
| 5 | 4240 | 181 |
| 6 | 6965 | 181 |
| 0 | 8064 | 174 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 |
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
y |
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z) |
#s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) |
(*.f64 z y) |
z |
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 |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z))) |
(/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z)) |
(*.f64 x (-.f64 z (*.f64 z y))) |
x |
(-.f64 z (*.f64 z y)) |
z |
(*.f64 z y) |
y |
(*.f64 z 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) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y) |
(fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
#s(approx (/ (+ x (* y (- z x))) z) y) |
y |
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) |
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
(*.f64 z y) |
z |
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 |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) |
(/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(*.f64 x (-.f64 z (*.f64 z y))) |
(*.f64 (fma.f64 (neg.f64 y) z z) x) |
x |
(-.f64 z (*.f64 z y)) |
(fma.f64 (neg.f64 y) z z) |
z |
(*.f64 z y) |
y |
(*.f64 z z) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.741827082262066 | (*.f64 x (-.f64 z (*.f64 z y))) | |
| accuracy | 9.393128749763687 | (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z)) | |
| accuracy | 15.09325190216433 | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z))) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) | |
| accuracy | 3.0875782035208035 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) | |
| accuracy | 14.947597993792222 | #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) | |
| accuracy | 15.303599130112993 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 3.0875782035208035 | (/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z) | |
| accuracy | 15.917564917838549 | #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) | |
| accuracy | 16.379314270267226 | #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.0 | #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 | 15.491158796955512 | #s(approx (- 1 y) #s(literal 1 binary64)) |
| 72.0ms | 126× | 0 | valid |
| 23.0ms | 130× | 0 | invalid |
Compiled 368 to 59 computations (84% saved)
ival-div: 55.0ms (68% of total)ival-mult: 12.0ms (14.8% of total)ival-sub: 7.0ms (8.7% of total)ival-add: 3.0ms (3.7% of total)ival-sqrt: 2.0ms (2.5% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ 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) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z) |
#s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) |
(*.f64 z 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)) |
(/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z))) |
(*.f64 x (-.f64 z (*.f64 z y))) |
(-.f64 z (*.f64 z y)) |
| Outputs |
|---|
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/ x z) |
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(* x (- 1 y)) |
(/ (* x (- z (* y z))) (pow z 2)) |
(* x (- z (* y z))) |
(/ (* 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 (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/ (* x (- 1 y)) z) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
1 |
(+ 1 (* -1 y)) |
x |
(+ x (* y (- z x))) |
(+ x (* -1 (* x y))) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(* x z) |
(+ (* -1 (* x (* y z))) (* x z)) |
z |
(+ z (* -1 (* y z))) |
(/ (* 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)) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ (* x z) y))) |
(* -1 (* y z)) |
(* y (- (/ z 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 (* (pow (sqrt -1) 2) (- z x))) z)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ (* (pow (sqrt -1) 2) (- z x)) z)))) |
(* -1 (* y (* (pow (sqrt -1) 2) (- z x)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* (pow (sqrt -1) 2) (- z x))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(* -1 (* y (+ (* -1 (/ (* x z) y)) (* x z)))) |
(* -1 (* y (- (* -1 (/ z y)) (* -1 z)))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(* x (* z (- 1 y))) |
(* z (- 1 y)) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (/ (* x (- 1 y)) z)) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* -1 (* y (pow (sqrt -1) 2))) |
(+ (* -1 (* y (pow (sqrt -1) 2))) (+ (/ x z) (/ (* x (* y (pow (sqrt -1) 2))) z))) |
(* -1 (* y (* z (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* x (* y (pow (sqrt -1) 2)))) z)) (* y (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* x (* z (+ 1 (* -1 y)))) |
(* z (+ 1 (* -1 y))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (* z y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (* x (- z (* z y))) (* z z)) (/ (+ x (* y (- z x))) z) (* x (- z (* z y))) (- z (* z y))) |
| 3.0ms | z | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (* z y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (* x (- z (* z y))) (* z z)) (/ (+ x (* y (- z x))) z) (* x (- z (* z y))) (- z (* z y))) |
| 2.0ms | x | @ | inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (* z y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (* x (- z (* z y))) (* z z)) (/ (+ x (* y (- z x))) z) (* x (- z (* z y))) (- z (* z y))) |
| 2.0ms | y | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (* z y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (* x (- z (* z y))) (* z z)) (/ (+ x (* y (- z x))) z) (* x (- z (* z y))) (- z (* z y))) |
| 2.0ms | x | @ | 0 | ((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (* z y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (/ (* x (- z (* z y))) (* z z)) (/ (+ x (* y (- z x))) z) (* x (- z (* z y))) (- z (* z y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 616 |
| 1 | 633 | 547 |
| 2 | 2091 | 543 |
| 3 | 4910 | 543 |
| 0 | 8505 | 521 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/ x z) |
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(* x (- 1 y)) |
(/ (* x (- z (* y z))) (pow z 2)) |
(* x (- z (* y z))) |
(/ (* 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 (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/ (* x (- 1 y)) z) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
1 |
(+ 1 (* -1 y)) |
x |
(+ x (* y (- z x))) |
(+ x (* -1 (* x y))) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(* x z) |
(+ (* -1 (* x (* y z))) (* x z)) |
z |
(+ z (* -1 (* y z))) |
(/ (* 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)) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ (* x z) y))) |
(* -1 (* y z)) |
(* y (- (/ z 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 (* (pow (sqrt -1) 2) (- z x))) z)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ (* (pow (sqrt -1) 2) (- z x)) z)))) |
(* -1 (* y (* (pow (sqrt -1) 2) (- z x)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* (pow (sqrt -1) 2) (- z x))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(* -1 (* y (+ (* -1 (/ (* x z) y)) (* x z)))) |
(* -1 (* y (- (* -1 (/ z y)) (* -1 z)))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(* x (* z (- 1 y))) |
(* z (- 1 y)) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (/ (* x (- 1 y)) z)) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* -1 (* y (pow (sqrt -1) 2))) |
(+ (* -1 (* y (pow (sqrt -1) 2))) (+ (/ x z) (/ (* x (* y (pow (sqrt -1) 2))) z))) |
(* -1 (* y (* z (pow (sqrt -1) 2)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* x (* y (pow (sqrt -1) 2)))) z)) (* y (pow (sqrt -1) 2))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* x (* z (+ 1 (* -1 y)))) |
(* z (+ 1 (* -1 y))) |
| Outputs |
|---|
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ 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) |
(/ (* x (- z (* y z))) (pow z 2)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (- z (* y z))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) 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)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (- (/ 1 z) (/ y z))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (fma.f64 (/.f64 y x) z (neg.f64 y)) x 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)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 (/.f64 y x) z (neg.f64 y)) x x) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) 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) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x z) |
(*.f64 z x) |
(+ (* -1 (* x (* y z))) (* x z)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
z |
(+ z (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (* y (- z x)) z) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) 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 (-.f64 (/.f64 x y) x) z) y y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- (+ z (/ x y)) x)) |
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(* -1 (/ (* x y) z)) |
(/.f64 (*.f64 (neg.f64 y) x) z) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(*.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(* y (+ (* -1 (* x z)) (/ (* x z) y))) |
(*.f64 x (*.f64 (-.f64 (/.f64 z y) z) y)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* y (- (/ z y) z)) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y) |
(* -1 (* y (- (/ x z) 1))) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(* -1 (/ (* y (* (pow (sqrt -1) 2) (- z x))) z)) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ (* (pow (sqrt -1) 2) (- z x)) z)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y y) |
(* -1 (* y (* (pow (sqrt -1) 2) (- z x)))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* y (+ (* -1 (/ x y)) (* (pow (sqrt -1) 2) (- z x))))) |
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(*.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y) |
(* -1 (* y (+ (* -1 (/ (* x z) y)) (* x z)))) |
(*.f64 x (*.f64 (-.f64 (/.f64 z y) z) y)) |
(* -1 (* y (- (* -1 (/ z y)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(* x (* z (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* z (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (/ (* x (- 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* y (pow (sqrt -1) 2))) |
y |
(+ (* -1 (* y (pow (sqrt -1) 2))) (+ (/ x z) (/ (* x (* y (pow (sqrt -1) 2))) z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* y (* z (pow (sqrt -1) 2)))) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 (/ (+ x (* x (* y (pow (sqrt -1) 2)))) z)) (* y (pow (sqrt -1) 2))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(fma.f64 (-.f64 z x) y x) |
(* x (* z (+ 1 (* -1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* z (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 192 |
| 0 | 44 | 168 |
| 1 | 174 | 168 |
| 2 | 1108 | 168 |
| 0 | 8689 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z) |
#s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) |
(*.f64 z 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)) |
(/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z))) |
(*.f64 x (-.f64 z (*.f64 z y))) |
(-.f64 z (*.f64 z y)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y)))) (*.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) z) #s(approx (- 1 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 y y (+.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y (*.f64 (/.f64 (neg.f64 x) z) #s(approx (- 1 y) #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))) (*.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64))) (*.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64))) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64))) (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (*.f64 (/.f64 x z) y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (*.f64 (/.f64 x z) y))))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)) (neg.f64 (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 #s(approx (- 1 y) #s(literal 1 binary64)))) (/.f64 x z))) |
(fma.f64 (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) |
(fma.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 (neg.f64 #s(approx (- 1 y) #s(literal 1 binary64)))) (/.f64 x z))) |
(fma.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 (neg.f64 #s(approx (- 1 y) #s(literal 1 binary64)))) (/.f64 x z))) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) |
(fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 (neg.f64 #s(approx (- 1 y) #s(literal 1 binary64)))) (/.f64 x z))) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) |
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 #s(approx (- 1 y) #s(literal 1 binary64)))) (/.f64 x z))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) |
(fma.f64 x (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y)))) |
(-.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) (neg.f64 y)) |
(-.f64 y (*.f64 (/.f64 (neg.f64 x) z) #s(approx (- 1 y) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (*.f64 (/.f64 x z) y))))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (*.f64 (/.f64 x z) y)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (*.f64 (/.f64 x z) y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (*.f64 (/.f64 x z) y)))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y)))) |
(+.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z)) y) |
(+.f64 y (*.f64 (neg.f64 (neg.f64 #s(approx (- 1 y) #s(literal 1 binary64)))) (/.f64 x z))) |
(+.f64 y (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 x)) z) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 x z) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (/ (+ x (* y (- z x))) z) y) |
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(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 z) y)) |
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) y)) |
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (neg.f64 z) y)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) y)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 z) y)) |
(fma.f64 (neg.f64 z) y z) |
(fma.f64 (neg.f64 y) z z) |
(fma.f64 z (neg.f64 y) z) |
(fma.f64 y (neg.f64 z) z) |
(-.f64 (/.f64 (*.f64 z z) (fma.f64 z y z)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y z))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z)))) |
(-.f64 z (*.f64 (neg.f64 (neg.f64 y)) z)) |
(-.f64 z (*.f64 (neg.f64 y) (neg.f64 z))) |
(-.f64 z (neg.f64 (*.f64 (neg.f64 z) y))) |
(-.f64 z (*.f64 z y)) |
(+.f64 (/.f64 (*.f64 z z) (fma.f64 z y z)) (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z y z))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 (neg.f64 z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z)))) |
(+.f64 (*.f64 (neg.f64 z) y) z) |
(+.f64 z (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) y)) |
(+.f64 z (*.f64 (neg.f64 z) y)) |
Compiled 8 116 to 933 computations (88.5% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 238 | 2 | 240 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 240 | 11 | 251 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 36.6% | (/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z) |
| ✓ | 54.1% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
| ✓ | 23.8% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
| ✓ | 44.7% | #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
| ▶ | 70.0% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) |
| ✓ | 79.7% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
| ▶ | 19.5% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z))) |
| ✓ | 37.2% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| ▶ | 39.4% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z)))) |
| ▶ | 23.9% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
| ▶ | 37.1% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
Compiled 320 to 210 computations (34.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) z z) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z)))) | |
| cost-diff | 4 | (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z))) | |
| cost-diff | 0 | #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z)) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z 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 | #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 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 264 |
| 0 | 51 | 264 |
| 1 | 94 | 264 |
| 2 | 198 | 264 |
| 3 | 536 | 260 |
| 4 | 1800 | 256 |
| 5 | 5516 | 256 |
| 0 | 8254 | 251 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) |
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) |
(/.f64 x z) |
x |
z |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
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(literal 1 binary64) |
z |
x |
#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 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z))) |
(/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z)) |
(*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) |
x |
#s(approx (- z (* z y)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(*.f64 z z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z)))) |
(*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z))) |
(fma.f64 (neg.f64 y) z z) |
(neg.f64 y) |
y |
z |
(/.f64 x (*.f64 z z)) |
x |
(*.f64 z z) |
| 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 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) y)) |
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) |
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
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(literal 1 binary64) |
z |
x |
#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 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) |
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) |
(/.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 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (/.f64 x z) z) #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y)))) |
(/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z)) |
(*.f64 (/.f64 (/.f64 x z) z) #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) |
(*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) |
(*.f64 #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y)) x) |
x |
#s(approx (- z (* z y)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
(*.f64 z z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z)))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
(*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(fma.f64 (neg.f64 y) z z) |
(fma.f64 (neg.f64 z) y z) |
(neg.f64 y) |
y |
z |
(/.f64 x (*.f64 z z)) |
(/.f64 (/.f64 x z) z) |
x |
(*.f64 z z) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 8.306587150690238 | (/.f64 x (*.f64 z z)) | |
| accuracy | 17.727355794280285 | (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z))) | |
| accuracy | 28.210920284310333 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z)))) | |
| accuracy | 1.963577200111589 | (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) | |
| accuracy | 21.25195557141768 | (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z)) | |
| accuracy | 28.210920284310333 | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z))) | |
| accuracy | 33.35616017313471 | #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y)) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) | |
| accuracy | 2.9340928631592336 | (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) | |
| accuracy | 28.210920284310333 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) | |
| accuracy | 33.67475536221118 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) | |
| accuracy | 2.9340928631592336 | (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) | |
| accuracy | 28.210920284310333 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) | |
| accuracy | 29.506898181247834 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) | |
| accuracy | 0.0390625 | (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) | |
| accuracy | 33.67475536221118 | #s(approx (- 1 y) (neg.f64 y)) |
| 53.0ms | 256× | 0 | valid |
Compiled 435 to 63 computations (85.5% saved)
ival-mult: 13.0ms (42.2% of total)ival-div: 8.0ms (26% of total)ival-sub: 4.0ms (13% of total)ival-add: 3.0ms (9.7% of total)ival-neg: 2.0ms (6.5% 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) #s(approx (- 1 y) (neg.f64 y)) y)) |
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) |
(/.f64 x z) |
#s(approx (- 1 y) (neg.f64 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) (*.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 (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z))) |
(/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z)) |
(*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- z (* z y)) (*.f64 (neg.f64 z) y)) |
(*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z)))) |
(fma.f64 (neg.f64 y) z z) |
(neg.f64 y) |
(/.f64 x (*.f64 z z)) |
| Outputs |
|---|
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/ x z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- z (* y z))) (pow z 2)) |
(* x (- z (* y z))) |
(/ (* x (+ z (* -1 (* y z)))) (pow z 2)) |
(/ x (pow z 2)) |
(/ (* 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))) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(+ (* 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 z) |
(+ (* -1 (* x (* y z))) (* x z)) |
z |
(+ z (* -1 (* y z))) |
(* -1 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))))) |
(* y (- (/ 1 y) 1)) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(* -1 (/ y z)) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ (* x z) y))) |
(* -1 (* y z)) |
(* y (- (/ z y) z)) |
(* y (+ (* -1 z) (/ z 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 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (+ (* -1 (/ (* x z) y)) (* x z)))) |
(* -1 (* y (- (* -1 (/ z y)) (* -1 z)))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (- 1 y) z) |
(* x (* z (- 1 y))) |
(* z (- 1 y)) |
(* z (+ 1 (* -1 y))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (/ (* x (- 1 y)) z)) |
(* x (* z (+ 1 (* -1 y)))) |
(* -1 (* z (- y 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (/ (* x (- z (* z y))) (* z z)) (* x (- z (* z y))) (- z (* z y)) (* (+ (* (neg y) z) z) (/ x (* z z))) (/ (+ x (* y (- z x))) z) (+ (* (neg y) z) z) (neg y) (/ x (* z z))) |
| 3.0ms | x | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (/ (* x (- z (* z y))) (* z z)) (* x (- z (* z y))) (- z (* z y)) (* (+ (* (neg y) z) z) (/ x (* z z))) (/ (+ x (* y (- z x))) z) (+ (* (neg y) z) z) (neg y) (/ x (* z z))) |
| 3.0ms | x | @ | 0 | ((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (/ (* x (- z (* z y))) (* z z)) (* x (- z (* z y))) (- z (* z y)) (* (+ (* (neg y) z) z) (/ x (* z z))) (/ (+ x (* y (- z x))) z) (+ (* (neg y) z) z) (neg y) (/ x (* z z))) |
| 3.0ms | z | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (/ (* x (- z (* z y))) (* z z)) (* x (- z (* z y))) (- z (* z y)) (* (+ (* (neg y) z) z) (/ x (* z z))) (/ (+ x (* y (- z x))) z) (+ (* (neg y) z) z) (neg y) (/ x (* z z))) |
| 3.0ms | z | @ | 0 | ((/ (+ x (* y (- z x))) z) (+ (* (/ x z) (- 1 y)) y) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (/ (* x (- z (* z y))) (* z z)) (* x (- z (* z y))) (- z (* z y)) (* (+ (* (neg y) z) z) (/ x (* z z))) (/ (+ x (* y (- z x))) z) (+ (* (neg y) z) z) (neg y) (/ x (* z z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 505 |
| 1 | 453 | 447 |
| 2 | 1365 | 439 |
| 3 | 4607 | 439 |
| 0 | 8344 | 427 |
| 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) |
(/ (* x (- z (* y z))) (pow z 2)) |
(* x (- z (* y z))) |
(/ (* x (+ z (* -1 (* y z)))) (pow z 2)) |
(/ x (pow z 2)) |
(/ (* 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))) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(+ (* 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 z) |
(+ (* -1 (* x (* y z))) (* x z)) |
z |
(+ z (* -1 (* y z))) |
(* -1 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))))) |
(* y (- (/ 1 y) 1)) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(* -1 (/ y z)) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* -1 (* x (* y z))) |
(* y (+ (* -1 (* x z)) (/ (* x z) y))) |
(* -1 (* y z)) |
(* y (- (/ z y) z)) |
(* y (+ (* -1 z) (/ z 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 (/ 1 y)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (+ (* -1 (/ (* x z) y)) (* x z)))) |
(* -1 (* y (- (* -1 (/ z y)) (* -1 z)))) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (- 1 y) z) |
(* x (* z (- 1 y))) |
(* z (- 1 y)) |
(* z (+ 1 (* -1 y))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (/ (* x (- 1 y)) z)) |
(* x (* z (+ 1 (* -1 y)))) |
(* -1 (* z (- y 1))) |
| Outputs |
|---|
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (- 1 y)) z) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
(/ (* x (- z (* y z))) (pow z 2)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
(* x (- z (* y z))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (+ z (* -1 (* y z)))) (pow z 2)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
(/ x (pow z 2)) |
(/.f64 (/.f64 x z) z) |
(/ (* x (+ 1 (* -1 y))) z) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (- (/ 1 z) (/ y z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (/ (* x (- y 1)) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) 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) x) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* x z) |
(*.f64 z x) |
(+ (* -1 (* x (* y z))) (* x z)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
z |
(+ z (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* -1 y) |
(neg.f64 y) |
(/ (* y (- z x)) z) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) 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 (-.f64 (/.f64 x y) x) z) y y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #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 (/.f64 x y) x) z) y) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) (/.f64 #s(literal 1 binary64) z)) y) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* y (+ (* -1 (* x z)) (/ (* x z) y))) |
(*.f64 (*.f64 z (-.f64 (/.f64 x y) x)) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* y (- (/ z y) z)) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* y (+ (* -1 z) (/ z y))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) z) 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 (-.f64 (/.f64 x y) x) z) y y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(*.f64 (/.f64 (-.f64 (/.f64 x y) x) z) y) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (/ (* x z) y)) (* x z)))) |
(*.f64 (*.f64 z (-.f64 (/.f64 x y) x)) y) |
(* -1 (* y (- (* -1 (/ z y)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(* -1 (* y (+ z (* -1 (/ z y))))) |
(*.f64 (-.f64 (/.f64 z y) z) y) |
(/ (+ x (* -1 (* x y))) z) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* x (* z (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* z (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(* z (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (/ (* x (- 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* x (* z (+ 1 (* -1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* z (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 227 |
| 0 | 51 | 227 |
| 1 | 172 | 227 |
| 2 | 1147 | 227 |
| 0 | 8370 | 222 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) |
(fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y) |
(/.f64 x z) |
#s(approx (- 1 y) (neg.f64 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) (*.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 (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z))) |
(/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z)) |
(*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- z (* z y)) (*.f64 (neg.f64 z) y)) |
(*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z)))) |
(fma.f64 (neg.f64 y) z z) |
(neg.f64 y) |
(/.f64 x (*.f64 z z)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y)))) (*.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 x z)) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 y y (+.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 (/.f64 x z)) #s(approx (- 1 y) (neg.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y))) (*.f64 (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y)) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) (neg.f64 y)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))) (*.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))) (fma.f64 y (-.f64 y (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (pow.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #s(literal 2 binary64))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) (fma.f64 z y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z y z)) (/.f64 (*.f64 z z) (fma.f64 z y z)) (fma.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y z)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y z)) (*.f64 (/.f64 (*.f64 z z) (fma.f64 z y z)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y z)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) y) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (neg.f64 z) y) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) y) z)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) y) z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (neg.f64 z) y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (neg.f64 z) y) z)) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (neg.f64 z) y) z)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) (fma.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 z z (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (*.f64 (neg.f64 z) (neg.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 z y z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 z) y) z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 z y z)) (*.f64 (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (*.f64 (fma.f64 z y z) (fma.f64 z y z))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) y) z)) (*.f64 (-.f64 (*.f64 (neg.f64 z) y) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 (neg.f64 z) y) z) (-.f64 (*.f64 (neg.f64 z) y) z))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z y z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 (neg.f64 z) y) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z y z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (neg.f64 z) y) z)) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) y)) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) z)) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z))) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 y))) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (neg.f64 z) y)) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 z)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 (neg.f64 z)) z) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) (*.f64 z y)) (fma.f64 z y z))) |
(fma.f64 (/.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 z) z) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) (*.f64 z y)) (fma.f64 z y z))) |
(fma.f64 (/.f64 z (+.f64 #s(literal 1 binary64) y)) (/.f64 z z) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) (*.f64 z y)) (fma.f64 z y z))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) y)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) z)) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 y))) |
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 z) y)) |
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) y)) |
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) z)) |
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z))) |
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 y))) |
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 (neg.f64 z) y)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) y)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) z)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z))) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 y))) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 z) y)) |
(fma.f64 (neg.f64 z) y z) |
(fma.f64 (neg.f64 y) z z) |
(fma.f64 z (neg.f64 y) z) |
(fma.f64 y (neg.f64 z) z) |
(-.f64 (/.f64 (*.f64 z z) (fma.f64 z y z)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y z))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (neg.f64 z) y) z))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z)))) |
(-.f64 z (*.f64 (neg.f64 z) (neg.f64 y))) |
(-.f64 z (*.f64 z y)) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (fma.f64 z y z) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 z z) (fma.f64 z y z)) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) (*.f64 z y)) (fma.f64 z y z))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) y) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (*.f64 (neg.f64 z) y) z))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z)))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y z) (*.f64 z z)))) |
(+.f64 (*.f64 (neg.f64 z) y) z) |
(+.f64 z (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) y)) |
(+.f64 z (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) z)) |
(+.f64 z (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z))) |
(+.f64 z (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 y))) |
(+.f64 z (*.f64 (neg.f64 z) y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(*.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 z) z)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 x z))) (neg.f64 (neg.f64 z))) |
(/.f64 (/.f64 x (neg.f64 z)) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 z z)) |
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 z)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) z)) |
(/.f64 (/.f64 x z) (neg.f64 (neg.f64 z))) |
(/.f64 (/.f64 x z) z) |
(/.f64 x (*.f64 z z)) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 z) z))) |
Compiled 15 638 to 1 570 computations (90% saved)
12 alts after pruning (1 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 444 | 1 | 445 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 444 | 12 | 456 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 36.6% | (/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z) |
| ✓ | 54.1% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
| ✓ | 23.8% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
| ✓ | 44.7% | #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
| ✓ | 70.0% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) y)) |
| ✓ | 79.7% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
| ✓ | 19.5% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z))) |
| ✓ | 37.2% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| ✓ | 39.4% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z)))) |
| ✓ | 23.9% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
| ✓ | 37.1% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
| 26.7% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) |
Compiled 613 to 240 computations (60.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
#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) |
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) 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) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 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) z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) 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)) |
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- z (* z y)) (*.f64 (neg.f64 z) y))) (*.f64 z z))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (fma.f64 (neg.f64 y) z z) (/.f64 x (*.f64 z z)))) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 z (*.f64 z y))) (*.f64 z z))) |
(/.f64 (fma.f64 (*.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x) z) |
(*.f64 (fma.f64 (-.f64 z x) y x) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (*.f64 (-.f64 x (*.f64 (-.f64 z x) y)) z))) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)) x) z) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
4 calls:
| 8.0ms | z |
| 6.0ms | y |
| 6.0ms | x |
| 6.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
Compiled 12 to 16 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
#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) |
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) 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) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 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) z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)) 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 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)) |
4 calls:
| 7.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 7.0ms | x |
| 4.0ms | z |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 3 | x |
| 98.8% | 3 | y |
| 86.4% | 3 | z |
| 90.4% | 4 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
Compiled 12 to 16 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
#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) |
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) 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) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 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) z) y)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) 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) (*.f64 (/.f64 (-.f64 z x) z) y)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
#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) |
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) 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) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 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)) |
| 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)) |
3 calls:
| 7.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 3 | x |
| 82.9% | 2 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 83.9% | 3 | y |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
#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) |
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) 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) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 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) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
4 calls:
| 5.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 3 | y |
| 79.7% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 79.7% | 1 | z |
| 82.0% | 2 | x |
Compiled 12 to 16 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
#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) |
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) 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)) |
4 calls:
| 4.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.7% | 1 | z |
| 79.7% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 79.7% | 1 | x |
| 79.7% | 1 | y |
Compiled 12 to 16 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
#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) |
(/.f64 #s(approx (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) (*.f64 z y)) z) |
| Outputs |
|---|
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
4 calls:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 3 | x |
| 60.1% | 3 | y |
| 63.7% | 3 | z |
| 53.3% | 3 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
Compiled 12 to 16 computations (-33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
| Outputs |
|---|
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
4 calls:
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.7% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 44.7% | 1 | y |
| 44.7% | 1 | x |
| 44.7% | 1 | z |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 0.11717939593467505 | 0.4238559537656841 |
| 30.0ms | -23540015925203240.0 | -1.259510907896417e-7 |
| 27.0ms | 256× | 0 | valid |
Compiled 668 to 493 computations (26.2% saved)
ival-div: 2.0ms (32.2% of total)ival-mult: 2.0ms (32.2% of total)ival-sub: 1.0ms (16.1% of total)ival-add: 1.0ms (16.1% 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 |
|---|---|---|
| 0.0ms | 0.11717939593467505 | 0.4238559537656841 |
| 1.0ms | -23540015925203240.0 | -1.259510907896417e-7 |
Compiled 604 to 445 computations (26.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.2772230896380559e+91 | 6.2844834995481036e+91 |
| 49.0ms | -1.2158811807298227e+209 | -4.769459681217533e+191 |
| 12.0ms | 256× | 0 | valid |
Compiled 604 to 461 computations (23.7% saved)
ival-div: 2.0ms (31.9% of total)ival-mult: 2.0ms (31.9% of total)ival-sub: 1.0ms (15.9% of total)ival-add: 1.0ms (15.9% 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 |
|---|---|---|
| 44.0ms | 7.491259917625674e+255 | 1.7557130098693685e+265 |
| 11.0ms | 594971983580768.3 | 1821458676555226600.0 |
| 44.0ms | 272× | 0 | valid |
Compiled 683 to 487 computations (28.7% saved)
ival-div: 2.0ms (29.5% of total)ival-mult: 2.0ms (29.5% of total)ival-sub: 1.0ms (14.8% of total)ival-add: 1.0ms (14.8% 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 |
|---|---|---|
| 32.0ms | 4.609509579102755e-98 | 2.912303631976265e-86 |
| 12.0ms | -6587674.38987146 | -51.76522941594671 |
| 33.0ms | 304× | 0 | valid |
Compiled 620 to 412 computations (33.5% saved)
ival-sub: 2.0ms (26.8% of total)ival-div: 2.0ms (26.8% of total)ival-mult: 2.0ms (26.8% of total)ival-add: 1.0ms (13.4% 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 | 62 | 283 |
| 1 | 96 | 283 |
| 2 | 134 | 283 |
| 3 | 193 | 283 |
| 4 | 240 | 283 |
| 5 | 265 | 283 |
| 6 | 280 | 283 |
| 7 | 287 | 283 |
| 8 | 298 | 283 |
| 9 | 309 | 283 |
| 10 | 321 | 283 |
| 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 -1 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 7566047373982433/18014398509481984 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 -1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 7566047373982433/18014398509481984 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 z x) z) y)))) |
(if (<=.f64 x #s(literal -479999999999999971511819589598252893805918984785265246585655141320429864796050715792009645451517618082551375211476917278740183091722924987082088774913577694334390270791478244747220457713827840 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 13000000000000000129684526030113686114382619441795556603530616765217403419599914412562972672 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 y #s(literal 200000000000000000 binary64)) #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 31999999999999997720762896651736241180055658265970451591417007382447043051344879808247882926116424846159180472625522032813833379728035922149718859500199128867355342743865749740148623905382664556276212709356091582353468479193886779838194274456813699485551663513600 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) 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 z #s(literal -155 binary64)) #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) (if (<=.f64 z #s(literal 2029768672598635/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y))) |
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
| 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 -1 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 7566047373982433/18014398509481984 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 (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 7566047373982433/18014398509481984 binary64)))) #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))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 7566047373982433/18014398509481984 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 z x) z) y)))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 7566047373982433/18014398509481984 binary64)))) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z 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 x #s(literal -479999999999999971511819589598252893805918984785265246585655141320429864796050715792009645451517618082551375211476917278740183091722924987082088774913577694334390270791478244747220457713827840 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 13000000000000000129684526030113686114382619441795556603530616765217403419599914412562972672 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 (or (<=.f64 x #s(literal -479999999999999971511819589598252893805918984785265246585655141320429864796050715792009645451517618082551375211476917278740183091722924987082088774913577694334390270791478244747220457713827840 binary64)) (not (<=.f64 x #s(literal 13000000000000000129684526030113686114382619441795556603530616765217403419599914412562972672 binary64)))) #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))) |
(if (<=.f64 y #s(literal 200000000000000000 binary64)) #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 31999999999999997720762896651736241180055658265970451591417007382447043051344879808247882926116424846159180472625522032813833379728035922149718859500199128867355342743865749740148623905382664556276212709356091582353468479193886779838194274456813699485551663513600 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y))) |
(if (<=.f64 y #s(literal 200000000000000000 binary64)) #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 31999999999999997720762896651736241180055658265970451591417007382447043051344879808247882926116424846159180472625522032813833379728035922149718859500199128867355342743865749740148623905382664556276212709356091582353468479193886779838194274456813699485551663513600 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) #s(approx (/ (+ x (* y (- z 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 z #s(literal -155 binary64)) #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) (if (<=.f64 z #s(literal 2029768672598635/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y))) |
(if (<=.f64 z #s(literal -155 binary64)) #s(approx (/ (+ x (* y (- z x))) z) y) (if (<=.f64 z #s(literal 2029768672598635/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #s(approx (/ (+ x (* y (- z x))) z) y))) |
#s(approx (/ (+ (* (sqrt (* (- z x) y)) (sqrt (* (- z x) y))) x) z) y) |
#s(approx (/ (+ x (* y (- z x))) z) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 227 |
| 0 | 51 | 227 |
| 1 | 172 | 227 |
| 2 | 1147 | 227 |
| 0 | 8370 | 222 |
| 0 | 7 | 24 |
| 0 | 11 | 24 |
| 1 | 45 | 24 |
| 2 | 325 | 24 |
| 3 | 3755 | 24 |
| 0 | 8301 | 22 |
| 0 | 106 | 326 |
| 1 | 371 | 245 |
| 2 | 1249 | 245 |
| 3 | 4274 | 245 |
| 4 | 7887 | 245 |
| 0 | 8017 | 230 |
| 0 | 323 | 1323 |
| 1 | 1084 | 1197 |
| 2 | 4226 | 1182 |
| 0 | 8409 | 1126 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 599 to 258 computations (56.9% saved)
Compiled 626 to 148 computations (76.4% saved)
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