
Time bar (total: 7.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 7 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 753.0ms | 8 256× | 0 | valid |
ival-sub: 161.0ms (39.6% of total)ival-mult: 114.0ms (28% of total)ival-div: 83.0ms (20.4% of total)ival-add: 39.0ms (9.6% of total)ival-true: 6.0ms (1.5% of total)ival-assert: 4.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 20 | 0 | - | 0 | - | (/.f64 (*.f64 y (-.f64 z x)) t) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | t |
| 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 y (-.f64 z x)) t) | o/n | 18 | 0 |
| ↳ | (*.f64 y (-.f64 z x)) | overflow | 54 | |
/.f64 | (/.f64 (*.f64 y (-.f64 z x)) t) | u/n | 1 | 0 |
| ↳ | (*.f64 y (-.f64 z x)) | underflow | 8 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 19 | 0 |
| - | 0 | 237 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 19 | 0 | 0 |
| - | 0 | 0 | 237 |
| number | freq |
|---|---|
| 0 | 237 |
| 1 | 19 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 40.0ms | 512× | 0 | valid |
Compiled 69 to 28 computations (59.4% saved)
ival-div: 14.0ms (58.5% of total)ival-sub: 3.0ms (12.5% of total)ival-mult: 3.0ms (12.5% of total)ival-add: 2.0ms (8.4% 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 | 50 | 138 |
| 1 | 128 | 128 |
| 2 | 367 | 126 |
| 3 | 1041 | 126 |
| 4 | 3394 | 126 |
| 5 | 5947 | 126 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 18 | 9 |
| 2 | 35 | 9 |
| 3 | 53 | 9 |
| 4 | 104 | 9 |
| 5 | 219 | 9 |
| 6 | 398 | 9 |
| 7 | 698 | 9 |
| 8 | 1233 | 9 |
| 9 | 2199 | 9 |
| 10 | 2458 | 9 |
| 11 | 2552 | 9 |
| 12 | 2569 | 9 |
| 13 | 2570 | 9 |
| 14 | 2570 | 9 |
| 0 | 2570 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.9% | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
Compiled 9 to 8 computations (11.1% 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 y (-.f64 z x)) t) | |
| cost-diff | 1 | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 12 | 28 |
| 1 | 18 | 28 |
| 2 | 35 | 28 |
| 3 | 53 | 28 |
| 4 | 104 | 28 |
| 5 | 219 | 28 |
| 6 | 398 | 28 |
| 7 | 698 | 28 |
| 8 | 1233 | 28 |
| 9 | 2199 | 28 |
| 10 | 2458 | 28 |
| 11 | 2552 | 28 |
| 12 | 2569 | 28 |
| 13 | 2570 | 28 |
| 14 | 2570 | 28 |
| 0 | 2570 | 27 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
x |
(/.f64 (*.f64 y (-.f64 z x)) t) |
(*.f64 y (-.f64 z x)) |
y |
(-.f64 z x) |
z |
t |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
x |
(/.f64 (*.f64 y (-.f64 z x)) t) |
(*.f64 (/.f64 y t) (-.f64 z x)) |
(*.f64 y (-.f64 z x)) |
(*.f64 (-.f64 z x) y) |
y |
(-.f64 z x) |
z |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 z x) | |
| accuracy | 0.0 | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) | |
| accuracy | 0.0078125 | (*.f64 y (-.f64 z x)) | |
| accuracy | 4.847407032129785 | (/.f64 (*.f64 y (-.f64 z x)) t) |
| 14.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-div: 2.0ms (31.8% of total)ival-mult: 2.0ms (31.8% 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)| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
(/.f64 (*.f64 y (-.f64 z x)) t) |
(*.f64 y (-.f64 z x)) |
(-.f64 z x) |
| Outputs |
|---|
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(* y z) |
(+ (* -1 (* x y)) (* y z)) |
z |
(+ z (* -1 x)) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(/ (* y (- z x)) t) |
(* y (- z x)) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(- z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x z) 1))) |
(/ (+ (* t x) (* y (- z x))) t) |
(+ x (/ (* y (- z x)) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 73.0ms | t | @ | -inf | ((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x)) |
| 2.0ms | y | @ | inf | ((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x)) |
| 1.0ms | y | @ | -inf | ((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x)) |
| 1.0ms | z | @ | -inf | ((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x)) |
| 1.0ms | x | @ | -inf | ((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 347 |
| 1 | 343 | 309 |
| 2 | 1113 | 241 |
| 3 | 3425 | 241 |
| 4 | 7054 | 241 |
| 0 | 8561 | 230 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(* y z) |
(+ (* -1 (* x y)) (* y z)) |
z |
(+ z (* -1 x)) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(/ (* y (- z x)) t) |
(* y (- z x)) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(- z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x z) 1))) |
(/ (+ (* t x) (* y (- z x))) t) |
(+ x (/ (* y (- z x)) t)) |
| Outputs |
|---|
(/ (* y z) t) |
(/.f64 (*.f64 z y) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(fma.f64 (-.f64 z x) (/.f64 y t) x) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(* x (+ 1 (* -1 (/ y t)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(fma.f64 (-.f64 z x) (/.f64 y t) x) |
(* -1 (/ (* x y) t)) |
(*.f64 (/.f64 (neg.f64 x) t) y) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* -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 t) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(fma.f64 (-.f64 z x) (/.f64 y t) x) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* -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 t) (/ x t)))) |
(fma.f64 (-.f64 z x) (/.f64 y t) x) |
(/ (* y (- z x)) t) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- (/ z t) (/ x t))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(fma.f64 (-.f64 z x) (/.f64 y t) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(fma.f64 (-.f64 z x) (/.f64 y t) x) |
(+ x (* -1 (/ (* x y) t))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(fma.f64 (-.f64 z x) (/.f64 y t) x) |
(- z x) |
(-.f64 z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(fma.f64 (-.f64 z x) (/.f64 y t) x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* z (+ 1 (* -1 (/ x z)))) |
(-.f64 z x) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(fma.f64 (-.f64 z x) (/.f64 y t) x) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* z (- (/ x z) 1))) |
(-.f64 z x) |
(/ (+ (* t x) (* y (- z x))) t) |
(/.f64 (fma.f64 (-.f64 z x) y (*.f64 t x)) t) |
(+ x (/ (* y (- z x)) t)) |
(fma.f64 (-.f64 z x) (/.f64 y t) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 49 | 24 |
| 2 | 407 | 24 |
| 3 | 7029 | 24 |
| 0 | 8186 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
(/.f64 (*.f64 y (-.f64 z x)) t) |
(*.f64 y (-.f64 z x)) |
(-.f64 z x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (-.f64 z x) y) t) (fma.f64 (/.f64 y t) (-.f64 z x) x) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t)) (-.f64 (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)))) (fma.f64 (/.f64 y t) (-.f64 z x) x)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)))) |
(*.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (/.f64 (*.f64 (-.f64 z x) y) t)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y t) (-.f64 z x) x)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 y t) (-.f64 z x) x) (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 y t) (-.f64 z x) x) (pow.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) y) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 (*.f64 (-.f64 z x) y) t) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 y t) (-.f64 z x) x) (/.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)))) |
(*.f64 (fma.f64 (/.f64 y t) (-.f64 z x) x) (*.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) (pow.f64 (-.f64 x (/.f64 (*.f64 (-.f64 z x) y) t)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y t) (-.f64 z x) x)) #s(literal -1 binary64)) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) (neg.f64 (neg.f64 (+.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) #s(literal 1 binary64)) (+.f64 z x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (*.f64 x x)) (+.f64 z x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))) (+.f64 z x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 x x))) (*.f64 (+.f64 z x) (+.f64 z x))) |
(/.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)))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 z x) (fma.f64 z z (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 z x) (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) z) (*.f64 z z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) z) (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) z) (*.f64 z z))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))) |
(neg.f64 (neg.f64 (-.f64 z x))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z x) x) (-.f64 (*.f64 (+.f64 z x) x) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 (/.f64 (*.f64 z z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x (-.f64 x z))) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) x (*.f64 z z))) (-.f64 z x) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 #s(literal -1 binary64) x z) |
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 (*.f64 z z) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 z (/.f64 z (+.f64 z x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 x #s(literal -1 binary64) z) |
(-.f64 (+.f64 z #s(literal 0 binary64)) x) |
(-.f64 (*.f64 z (/.f64 z (+.f64 z x))) (*.f64 x (/.f64 x (+.f64 z x)))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x z)) |
(-.f64 z x) |
(+.f64 (*.f64 z (/.f64 z (+.f64 z x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(+.f64 (neg.f64 x) z) |
(+.f64 z (neg.f64 x)) |
Compiled 6 951 to 1 079 computations (84.5% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 293 | 11 | 304 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 294 | 11 | 305 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.0% | (fma.f64 (/.f64 (-.f64 z x) t) y x) |
| ▶ | 97.3% | (fma.f64 (/.f64 y t) (-.f64 z x) x) |
| 92.9% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) (-.f64 z x)) x) | |
| ▶ | 97.2% | (fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x) |
| 92.1% | (+.f64 x (/.f64 (fma.f64 (neg.f64 x) y (*.f64 z y)) t)) | |
| 93.9% | (+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) | |
| 73.1% | (+.f64 x (/.f64 #s(approx (* y (- z x)) (*.f64 z y)) t)) | |
| 94.0% | (+.f64 x (/.f64 y (/.f64 t (-.f64 z x)))) | |
| ▶ | 56.9% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
| ▶ | 35.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
| 67.4% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) |
Compiled 266 to 216 computations (18.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x) | |
| cost-diff | 3 | (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) | |
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (/.f64 (-.f64 z x) t) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 z x) t) y x) | |
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (*.f64 (-.f64 z x) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 z x) y) t) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (/.f64 (*.f64 z y) t) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) | |
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | (fma.f64 (/.f64 y t) (-.f64 z x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 130 |
| 0 | 40 | 122 |
| 1 | 64 | 122 |
| 2 | 123 | 122 |
| 3 | 346 | 122 |
| 4 | 1129 | 122 |
| 5 | 2092 | 122 |
| 6 | 3301 | 122 |
| 7 | 3535 | 122 |
| 8 | 3550 | 122 |
| 9 | 3557 | 122 |
| 10 | 3558 | 122 |
| 0 | 3558 | 122 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(/.f64 y t) |
y |
t |
(-.f64 z x) |
z |
x |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(/.f64 (*.f64 z y) t) |
(*.f64 z y) |
z |
y |
t |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(*.f64 (-.f64 z x) y) |
(-.f64 z x) |
z |
x |
y |
t |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(/.f64 (-.f64 z x) t) |
(-.f64 z x) |
z |
x |
t |
y |
(fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x) |
(-.f64 z x) |
z |
x |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
| Outputs |
|---|
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(/.f64 y t) |
y |
t |
(-.f64 z x) |
z |
x |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(/.f64 (*.f64 z y) t) |
(*.f64 z y) |
z |
y |
t |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(*.f64 (-.f64 z x) y) |
(-.f64 z x) |
z |
x |
y |
t |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(/.f64 (-.f64 z x) t) |
(-.f64 z x) |
z |
x |
t |
y |
(fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(-.f64 z x) |
z |
x |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) |
(/.f64 y t) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 z x) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.2109375 | (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) | |
| accuracy | 1.741869510189492 | (fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x) | |
| accuracy | 0.0 | (-.f64 z x) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 z x) t) | |
| accuracy | 3.8523684533984004 | (fma.f64 (/.f64 (-.f64 z x) t) y x) | |
| accuracy | 0.0 | (-.f64 z x) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 z x) y) | |
| accuracy | 4.847407032129785 | (/.f64 (*.f64 (-.f64 z x) y) t) | |
| accuracy | 24.693189013682346 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 3.6576856306415526 | (/.f64 (*.f64 z y) t) | |
| accuracy | 39.421404326169736 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) | |
| accuracy | 0.0 | (/.f64 y t) | |
| accuracy | 0.0 | (-.f64 z x) | |
| accuracy | 1.741869510189492 | (fma.f64 (/.f64 y t) (-.f64 z x) x) |
| 138.0ms | 256× | 0 | valid |
Compiled 121 to 26 computations (78.5% saved)
ival-mult: 70.0ms (61.5% of total)ival-div: 33.0ms (29% of total)ival-add: 7.0ms (6.1% of total)ival-sub: 2.0ms (1.8% of total)ival-neg: 2.0ms (1.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(/.f64 y t) |
(-.f64 z x) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(/.f64 (*.f64 z y) t) |
(*.f64 z y) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(*.f64 (-.f64 z x) y) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(/.f64 (-.f64 z x) t) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) |
(fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x) |
(neg.f64 y) |
| Outputs |
|---|
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
z |
(+ z (* -1 x)) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(* y z) |
(+ (* -1 (* x y)) (* y z)) |
(/ z t) |
(+ (* -1 (/ x t)) (/ z t)) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -1 (/ x t)) |
(* x (- (/ z (* t x)) (/ 1 t))) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t)))) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(/ y t) |
(/ (* y (- z x)) t) |
(* y (- z x)) |
(* -1 y) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(- z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ (* -1 (/ x (* t z))) (/ 1 t))) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x (* t z)) (/ 1 t)))) |
(/ (+ (* t x) (* y (- z x))) t) |
(/ (- z x) t) |
(+ x (/ (* y (- z x)) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | t | @ | -inf | ((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (* (neg y) (/ -1 t)) (+ (* (- z x) (* (neg y) (/ -1 t))) x) (neg y)) |
| 2.0ms | y | @ | -inf | ((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (* (neg y) (/ -1 t)) (+ (* (- z x) (* (neg y) (/ -1 t))) x) (neg y)) |
| 2.0ms | z | @ | -inf | ((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (* (neg y) (/ -1 t)) (+ (* (- z x) (* (neg y) (/ -1 t))) x) (neg y)) |
| 2.0ms | y | @ | inf | ((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (* (neg y) (/ -1 t)) (+ (* (- z x) (* (neg y) (/ -1 t))) x) (neg y)) |
| 1.0ms | t | @ | inf | ((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (* (neg y) (/ -1 t)) (+ (* (- z x) (* (neg y) (/ -1 t))) x) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 286 |
| 1 | 397 | 283 |
| 2 | 1302 | 283 |
| 3 | 3962 | 283 |
| 4 | 7537 | 283 |
| 0 | 8020 | 272 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
z |
(+ z (* -1 x)) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(* y z) |
(+ (* -1 (* x y)) (* y z)) |
(/ z t) |
(+ (* -1 (/ x t)) (/ z t)) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -1 (/ x t)) |
(* x (- (/ z (* t x)) (/ 1 t))) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t)))) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(/ y t) |
(/ (* y (- z x)) t) |
(* y (- z x)) |
(* -1 y) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(- z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ (* -1 (/ x (* t z))) (/ 1 t))) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x (* t z)) (/ 1 t)))) |
(/ (+ (* t x) (* y (- z x))) t) |
(/ (- z x) t) |
(+ x (/ (* y (- z x)) t)) |
| Outputs |
|---|
(/ (* y z) t) |
(/.f64 (*.f64 z y) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
(/ z t) |
(/.f64 z t) |
(+ (* -1 (/ x t)) (/ z t)) |
(/.f64 (-.f64 z x) t) |
(* x (+ 1 (* -1 (/ y t)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ z x) 1)) |
(-.f64 z x) |
(* -1 (/ (* x y) t)) |
(*.f64 (/.f64 (neg.f64 x) t) y) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (-.f64 z x) y) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* x (- (/ z (* t x)) (/ 1 t))) |
(/.f64 (-.f64 z x) t) |
(* -1 (* x (- (/ y t) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(-.f64 z x) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t)))) |
(/.f64 (-.f64 z x) t) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(/ y t) |
(/.f64 y t) |
(/ (* y (- z x)) t) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ z t) (/ x t))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(+ x (* -1 (/ (* x y) t))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(- z x) |
(-.f64 z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(* z (+ 1 (* -1 (/ x z)))) |
(-.f64 z x) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* z (+ (* -1 (/ x (* t z))) (/ 1 t))) |
(/.f64 (-.f64 z x) t) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(* -1 (* z (- (/ x z) 1))) |
(-.f64 z x) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* z (- (/ x (* t z)) (/ 1 t)))) |
(/.f64 (-.f64 z x) t) |
(/ (+ (* t x) (* y (- z x))) t) |
(/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t) |
(/ (- z x) t) |
(/.f64 (-.f64 z x) t) |
(+ x (/ (* y (- z x)) t)) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 98 |
| 0 | 40 | 90 |
| 1 | 157 | 90 |
| 2 | 1039 | 90 |
| 0 | 8878 | 90 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(/.f64 y t) |
(-.f64 z x) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(/.f64 (*.f64 z y) t) |
(*.f64 z y) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(*.f64 (-.f64 z x) y) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(/.f64 (-.f64 z x) t) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) |
(fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x z) (/.f64 y t) x))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 (-.f64 z x) t) y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 x z) (/.f64 y t) x))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x) (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)) (*.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)) (*.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x) (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) (/.f64 y t) x)) |
(*.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x) (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 x z) (/.f64 y t) x)))) |
(*.f64 (fma.f64 (-.f64 z x) (/.f64 y t) x) (*.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) (/.f64 y t) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x)))) (fma.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 x z) (/.f64 y t) x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 (-.f64 z x) t) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (*.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)))) (*.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 x z) (/.f64 y t) x)) |
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(fma.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (-.f64 z x) y) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 z y) (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 z y) (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 y t)) x) |
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t y) (fma.f64 x (+.f64 x z) (*.f64 z z)))) x) |
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (/.f64 t y))) x) |
(fma.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 x z) (/.f64 y t) x)) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))) |
(fma.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(fma.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(fma.f64 (/.f64 z t) y (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(fma.f64 (/.f64 z t) y (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(fma.f64 (-.f64 x z) (/.f64 (neg.f64 y) t) x) |
(fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) t) (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) t) (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(fma.f64 (*.f64 (-.f64 x z) y) (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (-.f64 x z) y) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 z x) t) y) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (-.f64 z x) t) y)) |
(fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (*.f64 (-.f64 z x) y) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) z) (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) z) (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (-.f64 x z) y) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) t) z) (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) t) z) (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) z) t) (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) z) t) (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 t (-.f64 x z))) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 (-.f64 z x) t) y)) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 (-.f64 x z) t) #s(literal 1 binary64)) x) |
(fma.f64 (neg.f64 y) (*.f64 z (/.f64 #s(literal -1 binary64) t)) (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(fma.f64 (neg.f64 y) (*.f64 z (/.f64 #s(literal -1 binary64) t)) (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) t) z) (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) t) z) (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(fma.f64 (neg.f64 y) (/.f64 (-.f64 x z) t) x) |
(fma.f64 (/.f64 (-.f64 z x) t) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (-.f64 z x) t) (/.f64 (neg.f64 y) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(fma.f64 (*.f64 (-.f64 z x) y) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 z y) (pow.f64 t #s(literal -1 binary64)) (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(fma.f64 (*.f64 z y) (pow.f64 t #s(literal -1 binary64)) (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(fma.f64 (-.f64 z x) (/.f64 y t) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 z x) t) y)) |
(fma.f64 z (/.f64 y t) (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(fma.f64 z (/.f64 y t) (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(fma.f64 (/.f64 y t) (/.f64 (-.f64 x z) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(fma.f64 (/.f64 y t) z (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(fma.f64 (/.f64 y t) z (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(fma.f64 y (*.f64 (/.f64 (-.f64 z x) t) #s(literal 1 binary64)) x) |
(fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) z) (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) z) (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(fma.f64 y (/.f64 z t) (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(fma.f64 y (/.f64 z t) (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(fma.f64 y (/.f64 (-.f64 z x) t) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)))) |
(-.f64 x (/.f64 y (/.f64 t (-.f64 x z)))) |
(+.f64 (+.f64 x (*.f64 z (/.f64 y t))) (*.f64 (/.f64 (neg.f64 x) t) y)) |
(+.f64 (+.f64 x (*.f64 z (/.f64 y t))) (*.f64 (/.f64 (neg.f64 y) t) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 x z) (/.f64 y t) x)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (neg.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 z x) t) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))) |
(+.f64 (*.f64 (/.f64 (-.f64 z x) t) y) x) |
(+.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 (neg.f64 x) t) y x)) |
(+.f64 (*.f64 z (/.f64 y t)) (fma.f64 (/.f64 (neg.f64 y) t) x x)) |
(+.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) |
(*.f64 (neg.f64 (*.f64 y y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 y #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 y))) y) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 y y)) y) |
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (neg.f64 (pow.f64 y #s(literal 3 binary64))))) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
Compiled 24 785 to 2 670 computations (89.2% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 086 | 10 | 1 096 |
| Fresh | 5 | 1 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 094 | 13 | 1 107 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.5% | (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
| ▶ | 74.4% | (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
| 67.5% | (fma.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x) | |
| ▶ | 93.9% | (+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) |
| 56.1% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t)) | |
| ✓ | 56.9% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
| ▶ | 28.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
| ✓ | 35.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
| 36.3% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z))) | |
| 36.3% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) | |
| 58.7% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) | |
| ▶ | 37.9% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
| 28.1% | #s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))) |
Compiled 382 to 277 computations (27.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- z x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) | |
| cost-diff | 0 | #s(approx (- z x) (neg.f64 x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- z x) (neg.f64 x)) y) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | #s(approx (/ (- z x) t) (/.f64 z t)) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | (*.f64 (/.f64 y t) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)) | |
| cost-diff | 1 | (+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t) | |
| cost-diff | 2 | (*.f64 #s(literal 1 binary64) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 175 |
| 0 | 44 | 169 |
| 1 | 78 | 163 |
| 2 | 146 | 163 |
| 3 | 341 | 163 |
| 4 | 643 | 163 |
| 5 | 992 | 163 |
| 6 | 1280 | 163 |
| 7 | 1837 | 163 |
| 8 | 2245 | 163 |
| 9 | 2701 | 163 |
| 10 | 2873 | 163 |
| 11 | 2906 | 163 |
| 12 | 2908 | 163 |
| 13 | 2908 | 163 |
| 0 | 2908 | 160 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) |
x |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)) |
(*.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t) |
(/.f64 #s(literal 1 binary64) (-.f64 z x)) |
(-.f64 z x) |
z |
t |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
y |
t |
z |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (/ (- z x) t) (/.f64 z t)) |
(/.f64 z t) |
z |
t |
y |
x |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
(/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t) |
(*.f64 #s(approx (- z x) (neg.f64 x)) y) |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
t |
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
(/.f64 y t) |
y |
t |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
x |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)) |
(*.f64 (/.f64 (-.f64 z x) t) y) |
(*.f64 #s(literal 1 binary64) y) |
y |
#s(literal 1 binary64) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t) |
(/.f64 t (-.f64 z x)) |
(/.f64 #s(literal 1 binary64) (-.f64 z x)) |
(/.f64 #s(literal -1 binary64) (-.f64 x z)) |
(-.f64 z x) |
z |
t |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
y |
t |
z |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (/ (- z x) t) (/.f64 z t)) |
(/.f64 z t) |
z |
t |
y |
x |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t))) |
(/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t) |
(*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t)) |
(*.f64 #s(approx (- z x) (neg.f64 x)) y) |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
t |
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
(fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) x) |
(/.f64 y t) |
y |
t |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 y t) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 1.741869510189492 | (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) | |
| accuracy | 29.580944305811123 | #s(approx (- z x) (neg.f64 x)) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (- z x) (neg.f64 x)) y) | |
| accuracy | 4.847407032129785 | (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t) | |
| accuracy | 24.693189013682346 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) | |
| accuracy | 29.580944305811123 | #s(approx (- z x) (neg.f64 x)) | |
| accuracy | 0.0 | (/.f64 z t) | |
| accuracy | 3.8523684533984004 | (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) | |
| accuracy | 30.41330084891456 | #s(approx (/ (- z x) t) (/.f64 z t)) | |
| accuracy | 0.0 | (/.f64 y t) | |
| accuracy | 5.083086782056764 | (*.f64 (/.f64 y t) z) | |
| accuracy | 39.421404326169736 | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.03125 | (/.f64 #s(literal 1 binary64) (-.f64 z x)) | |
| accuracy | 0.19140625 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t) | |
| accuracy | 4.1788721426055435 | (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)) |
| 259.0ms | 256× | 0 | valid |
Compiled 139 to 27 computations (80.6% saved)
ival-mult: 105.0ms (43.4% of total)ival-neg: 64.0ms (26.4% of total)ival-add: 60.0ms (24.8% of total)ival-div: 11.0ms (4.5% of total)ival-sub: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 1 binary64) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t) |
(+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (/ (- z x) t) (/.f64 z t)) |
(/.f64 z t) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
(/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t) |
(*.f64 #s(approx (- z x) (neg.f64 x)) y) |
#s(approx (- z x) (neg.f64 x)) |
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (-.f64 z x)) |
| Outputs |
|---|
(/ t z) |
(+ (/ t z) (/ (* t x) (pow z 2))) |
(+ (* x (- (/ (* t x) (pow z 3)) (* -1 (/ t (pow z 2))))) (/ t z)) |
(+ (* x (- (* x (- (/ (* t x) (pow z 4)) (* -1 (/ t (pow z 3))))) (* -1 (/ t (pow z 2))))) (/ t z)) |
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(/ z t) |
(+ (* -1 (/ x t)) (/ z t)) |
(* y z) |
(+ (* -1 (* x y)) (* y z)) |
z |
(+ z (* -1 x)) |
(* -1 x) |
(/ 1 z) |
(+ (/ 1 z) (/ x (pow z 2))) |
(+ (* x (+ (/ 1 (pow z 2)) (/ x (pow z 3)))) (/ 1 z)) |
(+ (* x (+ (* x (+ (/ 1 (pow z 3)) (/ x (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z)) |
(* -1 (/ t x)) |
(/ (+ (* -1 t) (* -1 (/ (* t z) x))) x) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 2)) (pow x 2)))) (/ (* t z) x)) x) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 3)) (pow x 3)))) (+ (/ (* t z) x) (/ (* t (pow z 2)) (pow x 2)))) x) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(* -1 (/ x t)) |
(* x (- (/ z (* t x)) (/ 1 t))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* x (- (/ z x) 1)) |
(/ -1 x) |
(/ (- (* -1 (/ z x)) 1) x) |
(/ (- (* -1 (/ (pow z 2) (pow x 2))) (+ 1 (/ z x))) x) |
(/ (- (* -1 (/ (pow z 3) (pow x 3))) (+ 1 (+ (/ z x) (/ (pow z 2) (pow x 2))))) x) |
(* -1 (/ (+ t (/ (* t z) x)) x)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow z 2)) x)) (* t z)) x))) x)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow z 3)) x) (* -1 (* t (pow z 2)))) x)) (* t z)) x))) x)) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t)))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (/ (+ 1 (/ z x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) x)) z) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (* -1 (pow z 2))) x)) z) x))) x)) |
y |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(/ (* y (- z x)) t) |
(/ y t) |
(* y (- z x)) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ (* -1 (/ t x)) (* -1 (/ (* t z) (pow x 2)))) |
(+ (* -1 (/ t x)) (* z (- (* -1 (/ (* t z) (pow x 3))) (/ t (pow x 2))))) |
(+ (* -1 (/ t x)) (* z (- (* z (- (* -1 (/ (* t z) (pow x 4))) (/ t (pow x 3)))) (/ t (pow x 2))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(- z x) |
(- (* -1 (/ z (pow x 2))) (/ 1 x)) |
(- (* z (- (* -1 (/ z (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* z (- (* z (- (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ (+ t (/ (* t x) z)) z) |
(/ (- (+ t (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (* t x) z))) z) |
(/ (- (+ t (/ (* t (pow x 3)) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t (pow x 2)) (pow z 2))))) z) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(* z (+ (* -1 (/ x (* t z))) (/ 1 t))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(/ (+ 1 (/ x z)) z) |
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (* -1 (/ x z))) z) |
(/ (- (+ 1 (/ (pow x 3) (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ (pow x 2) (pow z 2))))) z) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t x) z))) z)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t x) (/ (* t (pow x 2)) z)) z))) z)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow x 2))) (* -1 (/ (* t (pow x 3)) z))) z)) (* t x)) z))) z)) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (* z (- (/ x (* t z)) (/ 1 t)))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (/ (- (* -1 (/ x z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) (* -1 x)) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) z)) (pow x 2)) z)) (* -1 x)) z)) 1) z)) |
(/ t (- z x)) |
(/ (+ (* t x) (* y (- z x))) t) |
(/ (- z x) t) |
(+ x (/ (* y (- z x)) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | t | @ | -inf | ((* 1 y) (* (/ 1 (- z x)) t) (+ x (/ (* 1 y) (* (/ 1 (- z x)) t))) (/ (* 1 y) (* (/ 1 (- z x)) t)) (+ x (/ (* y (- z x)) t)) (* (/ y t) z) (/ y t) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ z t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (- z x) (+ (* (/ y t) (- z x)) x) (neg x) (/ 1 (- z x))) |
| 2.0ms | z | @ | -inf | ((* 1 y) (* (/ 1 (- z x)) t) (+ x (/ (* 1 y) (* (/ 1 (- z x)) t))) (/ (* 1 y) (* (/ 1 (- z x)) t)) (+ x (/ (* y (- z x)) t)) (* (/ y t) z) (/ y t) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ z t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (- z x) (+ (* (/ y t) (- z x)) x) (neg x) (/ 1 (- z x))) |
| 2.0ms | y | @ | -inf | ((* 1 y) (* (/ 1 (- z x)) t) (+ x (/ (* 1 y) (* (/ 1 (- z x)) t))) (/ (* 1 y) (* (/ 1 (- z x)) t)) (+ x (/ (* y (- z x)) t)) (* (/ y t) z) (/ y t) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ z t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (- z x) (+ (* (/ y t) (- z x)) x) (neg x) (/ 1 (- z x))) |
| 2.0ms | z | @ | inf | ((* 1 y) (* (/ 1 (- z x)) t) (+ x (/ (* 1 y) (* (/ 1 (- z x)) t))) (/ (* 1 y) (* (/ 1 (- z x)) t)) (+ x (/ (* y (- z x)) t)) (* (/ y t) z) (/ y t) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ z t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (- z x) (+ (* (/ y t) (- z x)) x) (neg x) (/ 1 (- z x))) |
| 2.0ms | z | @ | 0 | ((* 1 y) (* (/ 1 (- z x)) t) (+ x (/ (* 1 y) (* (/ 1 (- z x)) t))) (/ (* 1 y) (* (/ 1 (- z x)) t)) (+ x (/ (* y (- z x)) t)) (* (/ y t) z) (/ y t) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ z t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (- z x) (+ (* (/ y t) (- z x)) x) (neg x) (/ 1 (- z x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 347 | 1088 |
| 1 | 1056 | 1008 |
| 2 | 3162 | 937 |
| 0 | 8372 | 893 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ t z) |
(+ (/ t z) (/ (* t x) (pow z 2))) |
(+ (* x (- (/ (* t x) (pow z 3)) (* -1 (/ t (pow z 2))))) (/ t z)) |
(+ (* x (- (* x (- (/ (* t x) (pow z 4)) (* -1 (/ t (pow z 3))))) (* -1 (/ t (pow z 2))))) (/ t z)) |
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(/ z t) |
(+ (* -1 (/ x t)) (/ z t)) |
(* y z) |
(+ (* -1 (* x y)) (* y z)) |
z |
(+ z (* -1 x)) |
(* -1 x) |
(/ 1 z) |
(+ (/ 1 z) (/ x (pow z 2))) |
(+ (* x (+ (/ 1 (pow z 2)) (/ x (pow z 3)))) (/ 1 z)) |
(+ (* x (+ (* x (+ (/ 1 (pow z 3)) (/ x (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z)) |
(* -1 (/ t x)) |
(/ (+ (* -1 t) (* -1 (/ (* t z) x))) x) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 2)) (pow x 2)))) (/ (* t z) x)) x) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 3)) (pow x 3)))) (+ (/ (* t z) x) (/ (* t (pow z 2)) (pow x 2)))) x) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(* -1 (/ x t)) |
(* x (- (/ z (* t x)) (/ 1 t))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* x (- (/ z x) 1)) |
(/ -1 x) |
(/ (- (* -1 (/ z x)) 1) x) |
(/ (- (* -1 (/ (pow z 2) (pow x 2))) (+ 1 (/ z x))) x) |
(/ (- (* -1 (/ (pow z 3) (pow x 3))) (+ 1 (+ (/ z x) (/ (pow z 2) (pow x 2))))) x) |
(* -1 (/ (+ t (/ (* t z) x)) x)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow z 2)) x)) (* t z)) x))) x)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow z 3)) x) (* -1 (* t (pow z 2)))) x)) (* t z)) x))) x)) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t)))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (/ (+ 1 (/ z x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) x)) z) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (* -1 (pow z 2))) x)) z) x))) x)) |
y |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(/ (* y (- z x)) t) |
(/ y t) |
(* y (- z x)) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ (* -1 (/ t x)) (* -1 (/ (* t z) (pow x 2)))) |
(+ (* -1 (/ t x)) (* z (- (* -1 (/ (* t z) (pow x 3))) (/ t (pow x 2))))) |
(+ (* -1 (/ t x)) (* z (- (* z (- (* -1 (/ (* t z) (pow x 4))) (/ t (pow x 3)))) (/ t (pow x 2))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(- z x) |
(- (* -1 (/ z (pow x 2))) (/ 1 x)) |
(- (* z (- (* -1 (/ z (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* z (- (* z (- (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ (+ t (/ (* t x) z)) z) |
(/ (- (+ t (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (* t x) z))) z) |
(/ (- (+ t (/ (* t (pow x 3)) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t (pow x 2)) (pow z 2))))) z) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(* z (+ (* -1 (/ x (* t z))) (/ 1 t))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(/ (+ 1 (/ x z)) z) |
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (* -1 (/ x z))) z) |
(/ (- (+ 1 (/ (pow x 3) (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ (pow x 2) (pow z 2))))) z) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t x) z))) z)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t x) (/ (* t (pow x 2)) z)) z))) z)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow x 2))) (* -1 (/ (* t (pow x 3)) z))) z)) (* t x)) z))) z)) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (* z (- (/ x (* t z)) (/ 1 t)))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (/ (- (* -1 (/ x z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) (* -1 x)) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) z)) (pow x 2)) z)) (* -1 x)) z)) 1) z)) |
(/ t (- z x)) |
(/ (+ (* t x) (* y (- z x))) t) |
(/ (- z x) t) |
(+ x (/ (* y (- z x)) t)) |
| Outputs |
|---|
(/ t z) |
(/.f64 t z) |
(+ (/ t z) (/ (* t x) (pow z 2))) |
(*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 t z)) |
(+ (* x (- (/ (* t x) (pow z 3)) (* -1 (/ t (pow z 2))))) (/ t z)) |
(fma.f64 (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 (/.f64 t z) z)) x (/.f64 t z)) |
(+ (* x (- (* x (- (/ (* t x) (pow z 4)) (* -1 (/ t (pow z 3))))) (* -1 (/ t (pow z 2))))) (/ t z)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) t (/.f64 t (pow.f64 z #s(literal 3 binary64)))) x (/.f64 (/.f64 t z) z)) x (/.f64 t z)) |
(/ (* y z) t) |
(/.f64 (*.f64 z y) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(/ z t) |
(/.f64 z t) |
(+ (* -1 (/ x t)) (/ z t)) |
(/.f64 (-.f64 z x) t) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(* -1 x) |
(neg.f64 x) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (/ 1 z) (/ x (pow z 2))) |
(/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(+ (* x (+ (/ 1 (pow z 2)) (/ x (pow z 3)))) (/ 1 z)) |
(fma.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) x (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) |
(+ (* x (+ (* x (+ (/ 1 (pow z 3)) (/ x (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z)) |
(fma.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) x (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) |
(* -1 (/ t x)) |
(/.f64 t (neg.f64 x)) |
(/ (+ (* -1 t) (* -1 (/ (* t z) x))) x) |
(*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 2)) (pow x 2)))) (/ (* t z) x)) x) |
(/.f64 (fma.f64 (/.f64 t x) (fma.f64 z (/.f64 z x) z) t) (neg.f64 x)) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 3)) (pow x 3)))) (+ (/ (* t z) x) (/ (* t (pow z 2)) (pow x 2)))) x) |
(/.f64 (neg.f64 (fma.f64 (/.f64 t x) (fma.f64 z (/.f64 z x) z) (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) t t))) x) |
(* x (+ 1 (* -1 (/ y t)))) |
(fma.f64 (neg.f64 y) (/.f64 x t) x) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(fma.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (/ (* x y) t)) |
(*.f64 (/.f64 (neg.f64 x) t) y) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(*.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64))) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* x (- (/ z (* t x)) (/ 1 t))) |
(*.f64 (-.f64 (/.f64 (/.f64 z t) x) (/.f64 #s(literal 1 binary64) t)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (*.f64 y (-.f64 (/.f64 z x) #s(literal 1 binary64))) x) |
(* x (- (/ z x) 1)) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1 (/ z x)) 1) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x) |
(/ (- (* -1 (/ (pow z 2) (pow x 2))) (+ 1 (/ z x))) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) x) |
(/ (- (* -1 (/ (pow z 3) (pow x 3))) (+ 1 (+ (/ z x) (/ (pow z 2) (pow x 2))))) x) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) x) |
(* -1 (/ (+ t (/ (* t z) x)) x)) |
(*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow z 2)) x)) (* t z)) x))) x)) |
(/.f64 (fma.f64 (/.f64 t x) (fma.f64 z (/.f64 z x) z) t) (neg.f64 x)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow z 3)) x) (* -1 (* t (pow z 2)))) x)) (* t z)) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 t (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) x) (*.f64 t z)) x) t) (neg.f64 x)) |
(* -1 (* x (- (/ y t) 1))) |
(fma.f64 (neg.f64 y) (/.f64 x t) x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(fma.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(*.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t)))) |
(*.f64 (-.f64 (/.f64 (/.f64 z t) x) (/.f64 #s(literal 1 binary64) t)) x) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(*.f64 (*.f64 y (-.f64 (/.f64 z x) #s(literal 1 binary64))) x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (/ z x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) x)) z) x))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (* -1 (pow z 2))) x)) z) x))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) x) z) x) #s(literal 1 binary64)) (neg.f64 x)) |
y |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(/ (* y (- z x)) t) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(/ y t) |
(/.f64 y t) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- (/ z t) (/ x t))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(*.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 z x) t)) y) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(*.f64 (+.f64 (/.f64 x y) (/.f64 (-.f64 z x) t)) y) |
(+ (* -1 (/ t x)) (* -1 (/ (* t z) (pow x 2)))) |
(*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(+ (* -1 (/ t x)) (* z (- (* -1 (/ (* t z) (pow x 3))) (/ t (pow x 2))))) |
(fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) (/.f64 (/.f64 t x) x))) z (/.f64 t (neg.f64 x))) |
(+ (* -1 (/ t x)) (* z (- (* z (- (* -1 (/ (* t z) (pow x 4))) (/ t (pow x 3)))) (/ t (pow x 2))))) |
(fma.f64 (neg.f64 (*.f64 z (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) t (/.f64 t (pow.f64 x #s(literal 3 binary64)))))) z (*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(+ x (* -1 (/ (* x y) t))) |
(fma.f64 (neg.f64 y) (/.f64 x t) x) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(- z x) |
(-.f64 z x) |
(- (* -1 (/ z (pow x 2))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x) |
(- (* z (- (* -1 (/ z (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) x) |
(- (* z (- (* z (- (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64)))) z) z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x)) |
(/ (+ t (/ (* t x) z)) z) |
(/.f64 (fma.f64 x (/.f64 t z) t) z) |
(/ (- (+ t (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (* t x) z))) z) |
(/.f64 (fma.f64 (/.f64 t z) (fma.f64 x (/.f64 x z) x) t) z) |
(/ (- (+ t (/ (* t (pow x 3)) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t (pow x 2)) (pow z 2))))) z) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) t (fma.f64 (/.f64 t z) (fma.f64 x (/.f64 x z) x) t)) z) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y t) (/.f64 x z)) z) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y t)) z) |
(* z (+ (* -1 (/ x (* t z))) (/ 1 t))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (/.f64 x z) t)) z) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 x z) y) z) |
(* z (+ 1 (* -1 (/ x z)))) |
(fma.f64 (/.f64 (neg.f64 x) z) z z) |
(/ (+ 1 (/ x z)) z) |
(/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (* -1 (/ x z))) z) |
(/.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 x z) #s(literal 1 binary64)) z) |
(/ (- (+ 1 (/ (pow x 3) (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ (pow x 2) (pow z 2))))) z) |
(/.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 x z) (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1 binary64))) z) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t x) z))) z)) |
(/.f64 (fma.f64 x (/.f64 t z) t) z) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t x) (/ (* t (pow x 2)) z)) z))) z)) |
(/.f64 (fma.f64 (/.f64 t z) (fma.f64 x (/.f64 x z) x) t) z) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow x 2))) (* -1 (/ (* t (pow x 3)) z))) z)) (* t x)) z))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 x (fma.f64 x (/.f64 x z) x)) z) (*.f64 t x)) z) t) z) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y t) (/.f64 x z)) z) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y t)) z) |
(* -1 (* z (- (/ x (* t z)) (/ 1 t)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (/.f64 x z) t)) z) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 x z) y) z) |
(* -1 (* z (- (/ x z) 1))) |
(fma.f64 (/.f64 (neg.f64 x) z) z z) |
(* -1 (/ (- (* -1 (/ x z)) 1) z)) |
(/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) (* -1 x)) z)) 1) z)) |
(/.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 x z) #s(literal 1 binary64)) z) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) z)) (pow x 2)) z)) (* -1 x)) z)) 1) z)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 x (/.f64 x z) x)) z) x) z) #s(literal 1 binary64)) z) |
(/ t (- z x)) |
(/.f64 t (-.f64 z x)) |
(/ (+ (* t x) (* y (- z x))) t) |
(/.f64 (fma.f64 (-.f64 z x) y (*.f64 t x)) t) |
(/ (- z x) t) |
(/.f64 (-.f64 z x) t) |
(+ x (/ (* y (- z x)) t)) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 143 |
| 0 | 44 | 137 |
| 1 | 174 | 131 |
| 2 | 1355 | 131 |
| 0 | 8507 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1 binary64) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t) |
(+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (/ (- z x) t) (/.f64 z t)) |
(/.f64 z t) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
(/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t) |
(*.f64 #s(approx (- z x) (neg.f64 x)) y) |
#s(approx (- z x) (neg.f64 x)) |
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (-.f64 z x)) |
| Outputs |
|---|
(*.f64 #s(literal -1 binary64) (neg.f64 y)) |
(*.f64 y #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) y) |
(/.f64 (neg.f64 y) #s(literal -1 binary64)) |
(/.f64 y #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(neg.f64 (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) (neg.f64 y)) |
y |
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 z x))) |
(*.f64 (pow.f64 (*.f64 (+.f64 x z) (-.f64 z x)) #s(literal -1 binary64)) (/.f64 t (pow.f64 (+.f64 x z) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 t (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) (+.f64 x z)) |
(*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t (-.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 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 z x))) |
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (-.f64 z x))) |
(*.f64 #s(literal -1 binary64) (/.f64 t (fma.f64 #s(literal -1 binary64) z x))) |
(*.f64 (/.f64 t (-.f64 z x)) #s(literal 1 binary64)) |
(*.f64 t (pow.f64 (-.f64 z x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) t) |
(*.f64 #s(literal 1 binary64) (/.f64 t (-.f64 z x))) |
(pow.f64 (/.f64 (-.f64 z x) t) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t (-.f64 z x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 t #s(literal -1 binary64))) (-.f64 z x)) |
(/.f64 (*.f64 t #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) z x)) |
(/.f64 (/.f64 t (fma.f64 #s(literal -1 binary64) z x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 t) (fma.f64 #s(literal -1 binary64) z x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 z x) t))) |
(/.f64 (/.f64 t (-.f64 z x)) #s(literal 1 binary64)) |
(/.f64 t (-.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) z x) (*.f64 t #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 z x) t) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) t)) |
(neg.f64 (/.f64 t (fma.f64 #s(literal -1 binary64) z x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) z x)) (/.f64 t (fma.f64 #s(literal -1 binary64) z x))) |
(-.f64 #s(literal 0 binary64) (/.f64 t (fma.f64 #s(literal -1 binary64) z x))) |
(*.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64))) (pow.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 t y)) (-.f64 z x)))))) |
(*.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 z x) t) y x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 z x) t) y x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (fma.f64 (/.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (/.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) (*.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)))) (*.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 t y)) (-.f64 z x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64))) (-.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))) |
(/.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 t y)) (-.f64 z x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 z x) t) y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (-.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 t y)) (-.f64 z x)))) (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 z x) t) y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 z x) t) y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 z x))) (/.f64 (neg.f64 y) t) x) |
(fma.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 x z) (-.f64 z x)) #s(literal -1 binary64))) (/.f64 y (+.f64 x z)) x) |
(fma.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 y (fma.f64 x (+.f64 x z) (*.f64 z z))) x) |
(fma.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 z x))) x) |
(fma.f64 (/.f64 (neg.f64 y) (pow.f64 (*.f64 (+.f64 x z) (-.f64 z x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) t) (+.f64 x z)) x) |
(fma.f64 (/.f64 (neg.f64 y) (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) t) (fma.f64 x (+.f64 x z) (*.f64 z z))) x) |
(fma.f64 (/.f64 (neg.f64 y) (pow.f64 (-.f64 z x) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (-.f64 z x) #s(literal -1/2 binary64))) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x)))) (/.f64 y (+.f64 x z)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 y (fma.f64 x (+.f64 x z) (*.f64 z z))) x) |
(fma.f64 (/.f64 y (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x)))) (pow.f64 (+.f64 x z) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 y (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (*.f64 (-.f64 z x) y) #s(literal 1 binary64)) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 y (pow.f64 (*.f64 (+.f64 x z) (-.f64 z x)) #s(literal -1 binary64))) (/.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 x z)) x) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t))) (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -2 binary64)) (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x))) (*.f64 (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x)) (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -2 binary64))) (-.f64 x (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (/.f64 (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x)) (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t))) (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -2 binary64)) (*.f64 x x)) (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (/.f64 (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x)) (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t))) (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (/.f64 (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x)) (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))))) (+.f64 (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) x))) |
(fma.f64 (/.f64 (neg.f64 #s(approx (- z x) (neg.f64 x))) #s(literal -1 binary64)) (/.f64 y t) x) |
(fma.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) t) x) |
(fma.f64 (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) #s(literal 1 binary64)) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) #s(literal 1 binary64)) (/.f64 y t) x) |
(fma.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 #s(approx (- z x) (neg.f64 x)) (pow.f64 y #s(literal -1 binary64))) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) #s(literal 1 binary64)) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 #s(approx (- z x) (neg.f64 x)) y) x) |
(fma.f64 (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -2 binary64)) (pow.f64 (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x))))) |
(fma.f64 (*.f64 (neg.f64 y) #s(approx (- z x) (neg.f64 x))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 #s(approx (- z x) (neg.f64 x))) t) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 y) #s(approx (- z x) (neg.f64 x))) t) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t))) |
(fma.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t)) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) x) |
(fma.f64 (/.f64 y t) (/.f64 #s(approx (- z x) (neg.f64 x)) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t))) |
(fma.f64 y (/.f64 #s(approx (- z x) (neg.f64 x)) t) x) |
(fma.f64 y (*.f64 (pow.f64 t #s(literal -1 binary64)) #s(approx (- z x) (neg.f64 x))) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t)))) (/.f64 (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -2 binary64)) (-.f64 x (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -2 binary64)) (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x)))) |
(-.f64 x (/.f64 (*.f64 (neg.f64 y) #s(approx (- z x) (neg.f64 x))) t)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 t y) #s(approx (- z x) (neg.f64 x))) #s(literal -2 binary64)) (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) (neg.f64 x))))) |
(+.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t)) x) |
(+.f64 x (*.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t))) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 x x)) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(*.f64 (pow.f64 (*.f64 (+.f64 x z) (-.f64 z x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 x z) (-.f64 z x)) #s(literal -1 binary64)) (+.f64 x z)) |
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) |
(*.f64 (pow.f64 (-.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 z x) #s(literal -1/2 binary64))) |
(*.f64 (+.f64 x z) (pow.f64 (*.f64 (+.f64 x z) (-.f64 z x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 z x))) |
(*.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z x) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (-.f64 z x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 z x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 z x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 z x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 z x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (+.f64 x z)) (neg.f64 (*.f64 (+.f64 x z) (-.f64 z x)))) |
(/.f64 (neg.f64 (fma.f64 x (+.f64 x z) (*.f64 z z))) (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x))) |
(/.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) z x)) |
(/.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (-.f64 z x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 z x))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 z x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 z x)) #s(literal -1 binary64))) |
Compiled 11 420 to 1 555 computations (86.4% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 542 | 4 | 546 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 545 | 14 | 559 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.5% | (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
| ▶ | 67.5% | (fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x) |
| ✓ | 74.4% | (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
| ▶ | 93.9% | (+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) |
| 56.1% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t)) | |
| ✓ | 56.9% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
| ✓ | 28.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
| ✓ | 35.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
| ▶ | 36.3% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z))) |
| ▶ | 28.1% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) |
| ▶ | 36.3% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
| 58.7% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) | |
| 29.2% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) | |
| ✓ | 37.9% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
Compiled 352 to 255 computations (27.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x) | |
| cost-diff | 3 | (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) | |
| cost-diff | 0 | (/.f64 t z) | |
| cost-diff | 0 | (/.f64 y (/.f64 t z)) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z))) | |
| cost-diff | 0 | #s(approx (- z x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- z x) (neg.f64 x)) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (*.f64 (/.f64 z t) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 z x)) | |
| cost-diff | 0 | (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)) | |
| cost-diff | 1 | (+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 178 |
| 0 | 47 | 178 |
| 1 | 81 | 170 |
| 2 | 146 | 166 |
| 3 | 344 | 166 |
| 4 | 932 | 166 |
| 5 | 2471 | 166 |
| 6 | 3432 | 166 |
| 7 | 3912 | 166 |
| 8 | 4307 | 166 |
| 9 | 4321 | 166 |
| 10 | 4325 | 166 |
| 11 | 4325 | 166 |
| 12 | 4337 | 166 |
| 13 | 4339 | 166 |
| 0 | 4339 | 162 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) |
x |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t) |
(/.f64 #s(literal 1 binary64) (-.f64 z x)) |
#s(literal 1 binary64) |
(-.f64 z x) |
z |
t |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 z t) y) |
(/.f64 z t) |
z |
t |
y |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) |
(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y) |
(/.f64 #s(approx (- z x) (neg.f64 x)) t) |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
t |
y |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z))) |
(/.f64 y (/.f64 t z)) |
y |
(/.f64 t z) |
t |
z |
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
| Outputs |
|---|
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
x |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)) |
(*.f64 (/.f64 (-.f64 z x) t) y) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t) |
(/.f64 t (-.f64 z x)) |
(/.f64 #s(literal 1 binary64) (-.f64 z x)) |
(/.f64 #s(literal -1 binary64) (-.f64 x z)) |
#s(literal 1 binary64) |
(-.f64 z x) |
z |
t |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 z t) y) |
(/.f64 z t) |
z |
t |
y |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y) |
(*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x))) |
(/.f64 #s(approx (- z x) (neg.f64 x)) t) |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
t |
y |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
(/.f64 y (/.f64 t z)) |
(*.f64 (/.f64 z t) y) |
y |
(/.f64 t z) |
t |
z |
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x) |
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) |
(/.f64 y t) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.2109375 | (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) | |
| accuracy | 1.741869510189492 | (fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x) | |
| accuracy | 29.580944305811123 | #s(approx (- z x) (neg.f64 x)) | |
| accuracy | 0.0 | (/.f64 t z) | |
| accuracy | 3.9243660195420147 | (/.f64 y (/.f64 t z)) | |
| accuracy | 39.421404326169736 | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z))) | |
| accuracy | 0.01953125 | (/.f64 #s(approx (- z x) (neg.f64 x)) t) | |
| accuracy | 4.206700836263624 | (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y) | |
| accuracy | 24.693189013682346 | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) | |
| accuracy | 29.580944305811123 | #s(approx (- z x) (neg.f64 x)) | |
| accuracy | 0.0 | (/.f64 z t) | |
| accuracy | 3.873072023680997 | (*.f64 (/.f64 z t) y) | |
| accuracy | 39.421404326169736 | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) | |
| accuracy | 0.0 | (+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) | |
| accuracy | 0.03125 | (/.f64 #s(literal 1 binary64) (-.f64 z x)) | |
| accuracy | 0.19140625 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t) | |
| accuracy | 4.1788721426055435 | (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)) |
| 73.0ms | 256× | 0 | valid |
Compiled 143 to 28 computations (80.4% saved)
ival-div: 20.0ms (50.3% of total)ival-mult: 9.0ms (22.7% of total)ival-neg: 5.0ms (12.6% of total)ival-add: 3.0ms (7.6% of total)ival-sub: 2.0ms (5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t) |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)) |
(/.f64 #s(literal 1 binary64) (-.f64 z x)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 z t) y) |
(/.f64 z t) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) |
(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y) |
(/.f64 #s(approx (- z x) (neg.f64 x)) t) |
#s(approx (- z x) (neg.f64 x)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z))) |
(/.f64 y (/.f64 t z)) |
(/.f64 t z) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) |
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x) |
(neg.f64 y) |
(/.f64 #s(literal -1 binary64) t) |
(neg.f64 x) |
| Outputs |
|---|
(/ t z) |
(+ (/ t z) (/ (* t x) (pow z 2))) |
(+ (* x (- (/ (* t x) (pow z 3)) (* -1 (/ t (pow z 2))))) (/ t z)) |
(+ (* x (- (* x (- (/ (* t x) (pow z 4)) (* -1 (/ t (pow z 3))))) (* -1 (/ t (pow z 2))))) (/ t z)) |
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(/ 1 z) |
(+ (/ 1 z) (/ x (pow z 2))) |
(+ (* x (+ (/ 1 (pow z 2)) (/ x (pow z 3)))) (/ 1 z)) |
(+ (* x (+ (* x (+ (/ 1 (pow z 3)) (/ x (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z)) |
(/ z t) |
(+ (* -1 (/ x t)) (/ z t)) |
z |
(+ z (* -1 x)) |
(* -1 x) |
(* -1 (/ t x)) |
(/ (+ (* -1 t) (* -1 (/ (* t z) x))) x) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 2)) (pow x 2)))) (/ (* t z) x)) x) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 3)) (pow x 3)))) (+ (/ (* t z) x) (/ (* t (pow z 2)) (pow x 2)))) x) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(/ -1 x) |
(/ (- (* -1 (/ z x)) 1) x) |
(/ (- (* -1 (/ (pow z 2) (pow x 2))) (+ 1 (/ z x))) x) |
(/ (- (* -1 (/ (pow z 3) (pow x 3))) (+ 1 (+ (/ z x) (/ (pow z 2) (pow x 2))))) x) |
(* -1 (/ x t)) |
(* x (- (/ z (* t x)) (/ 1 t))) |
(* x (- (/ z x) 1)) |
(* -1 (/ (+ t (/ (* t z) x)) x)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow z 2)) x)) (* t z)) x))) x)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow z 3)) x) (* -1 (* t (pow z 2)))) x)) (* t z)) x))) x)) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (/ (+ 1 (/ z x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) x)) z) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (* -1 (pow z 2))) x)) z) x))) x)) |
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t)))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(/ (* y (- z x)) t) |
(/ y t) |
(* -1 y) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ (* -1 (/ t x)) (* -1 (/ (* t z) (pow x 2)))) |
(+ (* -1 (/ t x)) (* z (- (* -1 (/ (* t z) (pow x 3))) (/ t (pow x 2))))) |
(+ (* -1 (/ t x)) (* z (- (* z (- (* -1 (/ (* t z) (pow x 4))) (/ t (pow x 3)))) (/ t (pow x 2))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(- (* -1 (/ z (pow x 2))) (/ 1 x)) |
(- (* z (- (* -1 (/ z (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* z (- (* z (- (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- z x) |
(/ (+ t (/ (* t x) z)) z) |
(/ (- (+ t (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (* t x) z))) z) |
(/ (- (+ t (/ (* t (pow x 3)) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t (pow x 2)) (pow z 2))))) z) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(/ (+ 1 (/ x z)) z) |
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (* -1 (/ x z))) z) |
(/ (- (+ 1 (/ (pow x 3) (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ (pow x 2) (pow z 2))))) z) |
(* z (+ (* -1 (/ x (* t z))) (/ 1 t))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t x) z))) z)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t x) (/ (* t (pow x 2)) z)) z))) z)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow x 2))) (* -1 (/ (* t (pow x 3)) z))) z)) (* t x)) z))) z)) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (/ (- (* -1 (/ x z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) (* -1 x)) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) z)) (pow x 2)) z)) (* -1 x)) z)) 1) z)) |
(* -1 (* z (- (/ x (* t z)) (/ 1 t)))) |
(* -1 (* z (- (/ x z) 1))) |
(/ t (- z x)) |
(/ (+ (* t x) (* y (- z x))) t) |
(/ (- z x) t) |
(/ -1 t) |
(+ x (/ (* y (- z x)) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | t | @ | inf | ((* (/ 1 (- z x)) t) (+ x (/ y (* (/ 1 (- z x)) t))) (/ y (* (/ 1 (- z x)) t)) (/ 1 (- z x)) (+ x (/ (* y (- z x)) t)) (* (/ z t) y) (/ z t) (+ x (/ (* y (- z x)) t)) (* (/ (- z x) t) y) (/ (- z x) t) (- z x) (+ x (/ (* y (- z x)) t)) (/ y (/ t z)) (/ t z) (* (neg y) (/ -1 t)) (+ (* (* (neg y) (/ -1 t)) (- z x)) x) (neg y) (/ -1 t) (neg x)) |
| 2.0ms | t | @ | -inf | ((* (/ 1 (- z x)) t) (+ x (/ y (* (/ 1 (- z x)) t))) (/ y (* (/ 1 (- z x)) t)) (/ 1 (- z x)) (+ x (/ (* y (- z x)) t)) (* (/ z t) y) (/ z t) (+ x (/ (* y (- z x)) t)) (* (/ (- z x) t) y) (/ (- z x) t) (- z x) (+ x (/ (* y (- z x)) t)) (/ y (/ t z)) (/ t z) (* (neg y) (/ -1 t)) (+ (* (* (neg y) (/ -1 t)) (- z x)) x) (neg y) (/ -1 t) (neg x)) |
| 2.0ms | t | @ | 0 | ((* (/ 1 (- z x)) t) (+ x (/ y (* (/ 1 (- z x)) t))) (/ y (* (/ 1 (- z x)) t)) (/ 1 (- z x)) (+ x (/ (* y (- z x)) t)) (* (/ z t) y) (/ z t) (+ x (/ (* y (- z x)) t)) (* (/ (- z x) t) y) (/ (- z x) t) (- z x) (+ x (/ (* y (- z x)) t)) (/ y (/ t z)) (/ t z) (* (neg y) (/ -1 t)) (+ (* (* (neg y) (/ -1 t)) (- z x)) x) (neg y) (/ -1 t) (neg x)) |
| 2.0ms | z | @ | -inf | ((* (/ 1 (- z x)) t) (+ x (/ y (* (/ 1 (- z x)) t))) (/ y (* (/ 1 (- z x)) t)) (/ 1 (- z x)) (+ x (/ (* y (- z x)) t)) (* (/ z t) y) (/ z t) (+ x (/ (* y (- z x)) t)) (* (/ (- z x) t) y) (/ (- z x) t) (- z x) (+ x (/ (* y (- z x)) t)) (/ y (/ t z)) (/ t z) (* (neg y) (/ -1 t)) (+ (* (* (neg y) (/ -1 t)) (- z x)) x) (neg y) (/ -1 t) (neg x)) |
| 1.0ms | y | @ | -inf | ((* (/ 1 (- z x)) t) (+ x (/ y (* (/ 1 (- z x)) t))) (/ y (* (/ 1 (- z x)) t)) (/ 1 (- z x)) (+ x (/ (* y (- z x)) t)) (* (/ z t) y) (/ z t) (+ x (/ (* y (- z x)) t)) (* (/ (- z x) t) y) (/ (- z x) t) (- z x) (+ x (/ (* y (- z x)) t)) (/ y (/ t z)) (/ t z) (* (neg y) (/ -1 t)) (+ (* (* (neg y) (/ -1 t)) (- z x)) x) (neg y) (/ -1 t) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 332 | 1035 |
| 1 | 994 | 959 |
| 2 | 2976 | 890 |
| 0 | 8126 | 846 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ t z) |
(+ (/ t z) (/ (* t x) (pow z 2))) |
(+ (* x (- (/ (* t x) (pow z 3)) (* -1 (/ t (pow z 2))))) (/ t z)) |
(+ (* x (- (* x (- (/ (* t x) (pow z 4)) (* -1 (/ t (pow z 3))))) (* -1 (/ t (pow z 2))))) (/ t z)) |
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(/ 1 z) |
(+ (/ 1 z) (/ x (pow z 2))) |
(+ (* x (+ (/ 1 (pow z 2)) (/ x (pow z 3)))) (/ 1 z)) |
(+ (* x (+ (* x (+ (/ 1 (pow z 3)) (/ x (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z)) |
(/ z t) |
(+ (* -1 (/ x t)) (/ z t)) |
z |
(+ z (* -1 x)) |
(* -1 x) |
(* -1 (/ t x)) |
(/ (+ (* -1 t) (* -1 (/ (* t z) x))) x) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 2)) (pow x 2)))) (/ (* t z) x)) x) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 3)) (pow x 3)))) (+ (/ (* t z) x) (/ (* t (pow z 2)) (pow x 2)))) x) |
(* x (+ 1 (* -1 (/ y t)))) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(* -1 (/ (* x y) t)) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(/ -1 x) |
(/ (- (* -1 (/ z x)) 1) x) |
(/ (- (* -1 (/ (pow z 2) (pow x 2))) (+ 1 (/ z x))) x) |
(/ (- (* -1 (/ (pow z 3) (pow x 3))) (+ 1 (+ (/ z x) (/ (pow z 2) (pow x 2))))) x) |
(* -1 (/ x t)) |
(* x (- (/ z (* t x)) (/ 1 t))) |
(* x (- (/ z x) 1)) |
(* -1 (/ (+ t (/ (* t z) x)) x)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow z 2)) x)) (* t z)) x))) x)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow z 3)) x) (* -1 (* t (pow z 2)))) x)) (* t z)) x))) x)) |
(* -1 (* x (- (/ y t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(* -1 (/ (+ 1 (/ z x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) x)) z) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (* -1 (pow z 2))) x)) z) x))) x)) |
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t)))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(/ (* y (- z x)) t) |
(/ y t) |
(* -1 y) |
(* y (- (/ z t) (/ x t))) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(+ (* -1 (/ t x)) (* -1 (/ (* t z) (pow x 2)))) |
(+ (* -1 (/ t x)) (* z (- (* -1 (/ (* t z) (pow x 3))) (/ t (pow x 2))))) |
(+ (* -1 (/ t x)) (* z (- (* z (- (* -1 (/ (* t z) (pow x 4))) (/ t (pow x 3)))) (/ t (pow x 2))))) |
(+ x (* -1 (/ (* x y) t))) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(- (* -1 (/ z (pow x 2))) (/ 1 x)) |
(- (* z (- (* -1 (/ z (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* z (- (* z (- (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- z x) |
(/ (+ t (/ (* t x) z)) z) |
(/ (- (+ t (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (* t x) z))) z) |
(/ (- (+ t (/ (* t (pow x 3)) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t (pow x 2)) (pow z 2))))) z) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(/ (+ 1 (/ x z)) z) |
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (* -1 (/ x z))) z) |
(/ (- (+ 1 (/ (pow x 3) (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ (pow x 2) (pow z 2))))) z) |
(* z (+ (* -1 (/ x (* t z))) (/ 1 t))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t x) z))) z)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t x) (/ (* t (pow x 2)) z)) z))) z)) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow x 2))) (* -1 (/ (* t (pow x 3)) z))) z)) (* t x)) z))) z)) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(* -1 (/ (- (* -1 (/ x z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) (* -1 x)) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) z)) (pow x 2)) z)) (* -1 x)) z)) 1) z)) |
(* -1 (* z (- (/ x (* t z)) (/ 1 t)))) |
(* -1 (* z (- (/ x z) 1))) |
(/ t (- z x)) |
(/ (+ (* t x) (* y (- z x))) t) |
(/ (- z x) t) |
(/ -1 t) |
(+ x (/ (* y (- z x)) t)) |
| Outputs |
|---|
(/ t z) |
(/.f64 t z) |
(+ (/ t z) (/ (* t x) (pow z 2))) |
(*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 t z)) |
(+ (* x (- (/ (* t x) (pow z 3)) (* -1 (/ t (pow z 2))))) (/ t z)) |
(fma.f64 (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 (/.f64 t z) z)) x (/.f64 t z)) |
(+ (* x (- (* x (- (/ (* t x) (pow z 4)) (* -1 (/ t (pow z 3))))) (* -1 (/ t (pow z 2))))) (/ t z)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) t (/.f64 t (pow.f64 z #s(literal 3 binary64)))) x (/.f64 (/.f64 t z) z)) x (/.f64 t z)) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(+ (* -1 (/ (* x y) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (/ 1 z) (/ x (pow z 2))) |
(/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(+ (* x (+ (/ 1 (pow z 2)) (/ x (pow z 3)))) (/ 1 z)) |
(fma.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) x (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) |
(+ (* x (+ (* x (+ (/ 1 (pow z 3)) (/ x (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z)) |
(fma.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) x (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) |
(/ z t) |
(/.f64 z t) |
(+ (* -1 (/ x t)) (/ z t)) |
(/.f64 (-.f64 z x) t) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (/ t x)) |
(/.f64 t (neg.f64 x)) |
(/ (+ (* -1 t) (* -1 (/ (* t z) x))) x) |
(*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 2)) (pow x 2)))) (/ (* t z) x)) x) |
(/.f64 (fma.f64 (/.f64 t x) (fma.f64 z (/.f64 z x) z) t) (neg.f64 x)) |
(/ (- (+ (* -1 t) (* -1 (/ (* t (pow z 3)) (pow x 3)))) (+ (/ (* t z) x) (/ (* t (pow z 2)) (pow x 2)))) x) |
(/.f64 (neg.f64 (fma.f64 (/.f64 t x) (fma.f64 z (/.f64 z x) z) (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) t t))) x) |
(* x (+ 1 (* -1 (/ y t)))) |
(fma.f64 (neg.f64 y) (/.f64 x t) x) |
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x))))) |
(fma.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (/ (* x y) t)) |
(*.f64 (/.f64 (neg.f64 x) t) y) |
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x)))) |
(*.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1 (/ z x)) 1) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x) |
(/ (- (* -1 (/ (pow z 2) (pow x 2))) (+ 1 (/ z x))) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) x) |
(/ (- (* -1 (/ (pow z 3) (pow x 3))) (+ 1 (+ (/ z x) (/ (pow z 2) (pow x 2))))) x) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) x) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* x (- (/ z (* t x)) (/ 1 t))) |
(*.f64 (-.f64 (/.f64 (/.f64 z x) t) (/.f64 #s(literal 1 binary64) t)) x) |
(* x (- (/ z x) 1)) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ t (/ (* t z) x)) x)) |
(*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (* t (pow z 2)) x)) (* t z)) x))) x)) |
(/.f64 (fma.f64 (/.f64 t x) (fma.f64 z (/.f64 z x) z) t) (neg.f64 x)) |
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ (* t (pow z 3)) x) (* -1 (* t (pow z 2)))) x)) (* t z)) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 t (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) x) (*.f64 t z)) x) t) (neg.f64 x)) |
(* -1 (* x (- (/ y t) 1))) |
(fma.f64 (neg.f64 y) (/.f64 x t) x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1))) |
(fma.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t)))) |
(*.f64 (*.f64 (/.f64 y t) x) (-.f64 (/.f64 z x) #s(literal 1 binary64))) |
(* -1 (/ (+ 1 (/ z x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) x)) z) x))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (* -1 (pow z 2))) x)) z) x))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) x) z) x) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ z (* t x))) (/ 1 t)))) |
(*.f64 (-.f64 (/.f64 (/.f64 z x) t) (/.f64 #s(literal 1 binary64) t)) x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
x |
(+ x (* y (- (/ z t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(/ (* y (- z x)) t) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(/ y t) |
(/.f64 y t) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ z t) (/ x t))) |
(/.f64 (*.f64 (-.f64 z x) y) t) |
(* y (- (+ (/ x y) (/ z t)) (/ x t))) |
(*.f64 (+.f64 (/.f64 (-.f64 z x) t) (/.f64 x y)) y) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t))))) |
(*.f64 (+.f64 (/.f64 (-.f64 z x) t) (/.f64 x y)) y) |
(+ (* -1 (/ t x)) (* -1 (/ (* t z) (pow x 2)))) |
(*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(+ (* -1 (/ t x)) (* z (- (* -1 (/ (* t z) (pow x 3))) (/ t (pow x 2))))) |
(fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) (/.f64 (/.f64 t x) x))) z (/.f64 t (neg.f64 x))) |
(+ (* -1 (/ t x)) (* z (- (* z (- (* -1 (/ (* t z) (pow x 4))) (/ t (pow x 3)))) (/ t (pow x 2))))) |
(fma.f64 (neg.f64 (*.f64 z (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) t (/.f64 t (pow.f64 x #s(literal 3 binary64)))))) z (*.f64 (/.f64 t x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(+ x (* -1 (/ (* x y) t))) |
(fma.f64 (neg.f64 y) (/.f64 x t) x) |
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t))) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
(- (* -1 (/ z (pow x 2))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x) |
(- (* z (- (* -1 (/ z (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z x) z) x)) x) |
(- (* z (- (* z (- (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64)))) z) z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x)) |
(- z x) |
(-.f64 z x) |
(/ (+ t (/ (* t x) z)) z) |
(/.f64 (fma.f64 x (/.f64 t z) t) z) |
(/ (- (+ t (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (* t x) z))) z) |
(/.f64 (fma.f64 (/.f64 t z) (fma.f64 x (/.f64 x z) x) t) z) |
(/ (- (+ t (/ (* t (pow x 3)) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t (pow x 2)) (pow z 2))))) z) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) t (fma.f64 (/.f64 t z) (fma.f64 x (/.f64 x z) x) t)) z) |
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) (/.f64 x z) (/.f64 y t)) z) |
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t))) |
(*.f64 (neg.f64 z) (*.f64 (/.f64 y t) (-.f64 (/.f64 x z) #s(literal 1 binary64)))) |
(/ (+ 1 (/ x z)) z) |
(/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (* -1 (/ x z))) z) |
(/.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 x z) #s(literal 1 binary64)) z) |
(/ (- (+ 1 (/ (pow x 3) (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ (pow x 2) (pow z 2))))) z) |
(/.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 x z) (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1 binary64))) z) |
(* z (+ (* -1 (/ x (* t z))) (/ 1 t))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 x) z) t) z (/.f64 z t)) |
(* z (+ 1 (* -1 (/ x z)))) |
(fma.f64 (/.f64 (neg.f64 x) z) z z) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (* t x) z))) z)) |
(/.f64 (fma.f64 x (/.f64 t z) t) z) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* t x) (/ (* t (pow x 2)) z)) z))) z)) |
(/.f64 (fma.f64 (/.f64 t z) (fma.f64 x (/.f64 x z) x) t) z) |
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t (pow x 2))) (* -1 (/ (* t (pow x 3)) z))) z)) (* t x)) z))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 x (fma.f64 x (/.f64 x z) x)) z) (*.f64 t x)) z) t) z) |
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) (/.f64 x z) (/.f64 y t)) z) |
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z))))) |
(*.f64 (neg.f64 z) (*.f64 (/.f64 y t) (-.f64 (/.f64 x z) #s(literal 1 binary64)))) |
(* -1 (/ (- (* -1 (/ x z)) 1) z)) |
(/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) (* -1 x)) z)) 1) z)) |
(/.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 x z) #s(literal 1 binary64)) z) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) z)) (pow x 2)) z)) (* -1 x)) z)) 1) z)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 x (/.f64 x z) x)) z) x) z) #s(literal 1 binary64)) z) |
(* -1 (* z (- (/ x (* t z)) (/ 1 t)))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 x) z) t) z (/.f64 z t)) |
(* -1 (* z (- (/ x z) 1))) |
(fma.f64 (/.f64 (neg.f64 x) z) z z) |
(/ t (- z x)) |
(/.f64 t (-.f64 z x)) |
(/ (+ (* t x) (* y (- z x))) t) |
(/.f64 (fma.f64 (-.f64 z x) y (*.f64 t x)) t) |
(/ (- z x) t) |
(/.f64 (-.f64 z x) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(+ x (/ (* y (- z x)) t)) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 149 |
| 0 | 47 | 149 |
| 1 | 166 | 137 |
| 2 | 1217 | 137 |
| 0 | 9264 | 133 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t) |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t)) |
(/.f64 #s(literal 1 binary64) (-.f64 z x)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 z t) y) |
(/.f64 z t) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) |
(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y) |
(/.f64 #s(approx (- z x) (neg.f64 x)) t) |
#s(approx (- z x) (neg.f64 x)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z))) |
(/.f64 y (/.f64 t z)) |
(/.f64 t z) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) |
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x) |
(neg.f64 y) |
(/.f64 #s(literal -1 binary64) t) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (*.f64 t (pow.f64 (-.f64 z x) #s(literal -1/2 binary64))) (pow.f64 (-.f64 z x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x)))) (+.f64 x z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (+.f64 x z) (*.f64 z z))) |
(*.f64 (pow.f64 (*.f64 (+.f64 x z) (-.f64 z x)) #s(literal -1 binary64)) (/.f64 t (pow.f64 (+.f64 x z) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 t (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) (+.f64 x z)) |
(*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x z) (*.f64 z z))) |
(*.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) (neg.f64 t)) |
(*.f64 (neg.f64 t) (pow.f64 (-.f64 x z) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 t (-.f64 x z))) |
(*.f64 (/.f64 t (-.f64 z x)) #s(literal 1 binary64)) |
(*.f64 t (pow.f64 (-.f64 z x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) t) |
(*.f64 #s(literal 1 binary64) (/.f64 t (-.f64 z x))) |
(pow.f64 (/.f64 (-.f64 z x) t) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t (-.f64 z x)) #s(literal 1 binary64)) |
(/.f64 (/.f64 t (-.f64 x z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 t) (-.f64 x z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 z x) t))) |
(/.f64 (/.f64 t (-.f64 z x)) #s(literal 1 binary64)) |
(/.f64 t (-.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 z x) t) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) t)) |
(neg.f64 (/.f64 t (-.f64 x z))) |
(fma.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) x (*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) z)) |
(fma.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) z (*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) x)) |
(fma.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x x)) (*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x z))) |
(fma.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 x z)) (*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 z z))) |
(fma.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 z z) (*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 x z)))) |
(fma.f64 (fma.f64 z z (*.f64 x x)) (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x z) (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x (+.f64 x z)) (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 z z) (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x (+.f64 x z)) (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 x (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 z (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))))) |
(fma.f64 z (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) (*.f64 x (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x z)) (/.f64 t (-.f64 x z))) |
(-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 x z))) |
(+.f64 (*.f64 x (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 z (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))))) |
(+.f64 (*.f64 z (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 x (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))))) |
(+.f64 (*.f64 (fma.f64 z z (*.f64 x x)) (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x z) (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 x (+.f64 x z)) (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 z z) (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 z z) (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x (+.f64 x z)) (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) x) (*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) z)) |
(+.f64 (*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) z) (*.f64 (/.f64 t (*.f64 (+.f64 x z) (-.f64 z x))) x)) |
(+.f64 (*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x x))) (*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x z))) |
(+.f64 (*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 x z))) (*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 z z))) |
(+.f64 (*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 z z)) (*.f64 (/.f64 t (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 x z)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)))) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) (*.f64 (/.f64 (-.f64 z x) t) y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64))) (pow.f64 (+.f64 x (/.f64 (*.f64 (-.f64 x z) y) t)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -2 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 (-.f64 x z) y) t)))))) |
(*.f64 (+.f64 (pow.f64 (/.f64 t (*.f64 (-.f64 z x) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z x) t) y) (fma.f64 (/.f64 (-.f64 z x) t) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 z x) t) y x)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) y) y) |
(/.f64 (*.f64 y y) (neg.f64 y)) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (neg.f64 y) #s(literal 1 binary64)) |
(/.f64 y #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) y) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(*.f64 (pow.f64 (neg.f64 t) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 t) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t)) |
(pow.f64 (neg.f64 t) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) t) |
(/.f64 #s(literal 1 binary64) (neg.f64 t)) |
(neg.f64 (pow.f64 t #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 t)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 16 625 to 2 320 computations (86% saved)
14 alts after pruning (4 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 812 | 1 | 813 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 813 | 14 | 827 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.5% | (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
| ✓ | 67.5% | (fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x) |
| ✓ | 74.4% | (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
| 56.1% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t)) | |
| ✓ | 56.9% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
| ✓ | 28.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
| ✓ | 35.4% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
| ✓ | 36.3% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z))) |
| 36.2% | #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)))) | |
| ✓ | 28.1% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) |
| ✓ | 36.3% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
| 58.7% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) | |
| 29.2% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) | |
| ✓ | 37.9% | #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
Compiled 615 to 253 computations (58.9% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
(+.f64 x (/.f64 #s(approx (* y (- z x)) (*.f64 z y)) t)) |
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(fma.f64 (/.f64 (-.f64 z x) t) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (/.f64 t z))) |
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t)) |
(fma.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x) |
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) #s(approx (- z x) (neg.f64 x)) x) |
(+.f64 x (/.f64 (fma.f64 (neg.f64 x) y (*.f64 z y)) t)) |
(fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 y) (-.f64 z x)) x) |
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x)))) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)))) |
(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) |
(+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) t))) |
| Outputs |
|---|
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
5 calls:
| 11.0ms | z |
| 8.0ms | y |
| 8.0ms | x |
| 8.0ms | t |
| 8.0ms | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | x |
| 97.3% | 1 | y |
| 97.3% | 1 | z |
| 97.3% | 1 | t |
| 97.3% | 1 | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
Compiled 13 to 24 computations (-84.6% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
(+.f64 x (/.f64 #s(approx (* y (- z x)) (*.f64 z y)) t)) |
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
| Outputs |
|---|
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
5 calls:
| 8.0ms | z |
| 4.0ms | t |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.0% | 3 | x |
| 86.4% | 3 | y |
| 89.5% | 3 | z |
| 87.3% | 3 | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| 86.6% | 3 | t |
Compiled 13 to 24 computations (-84.6% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) |
(+.f64 x (/.f64 #s(approx (* y (- z x)) (*.f64 z y)) t)) |
| Outputs |
|---|
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
1 calls:
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 3 | z |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)))) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t)) |
| Outputs |
|---|
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))) |
5 calls:
| 6.0ms | x |
| 3.0ms | z |
| 3.0ms | t |
| 3.0ms | y |
| 3.0ms | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 2 | y |
| 74.4% | 1 | t |
| 74.4% | 1 | x |
| 74.4% | 1 | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| 74.4% | 1 | z |
Compiled 13 to 24 computations (-84.6% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
| Outputs |
|---|
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 1 | y |
Compiled 1 to 4 computations (-300% saved)
Total -4.2b remaining (-10.5%)
Threshold costs -4.2b (-10.5%)
| Inputs |
|---|
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) |
| Outputs |
|---|
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
5 calls:
| 2.0ms | y |
| 2.0ms | t |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.9% | 1 | z |
| 37.9% | 1 | (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) |
| 37.9% | 1 | x |
| 37.9% | 1 | t |
| 37.9% | 1 | y |
Compiled 13 to 24 computations (-84.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 3.3385819002534593e-53 | 9.588308564448265e-51 |
| 17.0ms | -2.8312471357564032e-89 | -1.867424992804299e-97 |
| 18.0ms | 272× | 0 | valid |
Compiled 403 to 355 computations (11.9% saved)
ival-sub: 2.0ms (29.3% of total)ival-div: 2.0ms (29.3% of total)ival-mult: 2.0ms (29.3% of total)ival-add: 1.0ms (14.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.3385819002534593e-53 | 9.588308564448265e-51 |
| 1.0ms | -2.8312471357564032e-89 | -1.867424992804299e-97 |
Compiled 505 to 423 computations (16.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.6904423188124247e+127 | 4.335719169669892e+134 |
| 7.0ms | 144× | 0 | valid |
Compiled 336 to 249 computations (25.9% saved)
ival-sub: 1.0ms (27.5% of total)ival-div: 1.0ms (27.5% of total)ival-add: 1.0ms (27.5% of total)ival-mult: 1.0ms (27.5% 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 | 41 | 145 |
| 1 | 65 | 145 |
| 2 | 92 | 145 |
| 3 | 142 | 145 |
| 4 | 249 | 145 |
| 5 | 369 | 145 |
| 6 | 624 | 145 |
| 7 | 4899 | 145 |
| 8 | 7265 | 145 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(if (<=.f64 z #s(literal -4088342928092689/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 z #s(literal 2653869750047641/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x))) |
(if (<=.f64 z #s(literal -4088342928092689/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 z #s(literal 2653869750047641/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x))) |
(if (<=.f64 y #s(literal 47999999999999997038090838744094605471098658389967992250133113563059532531258004665923867455532516247227867839805238159175302808338432 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) #s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y)))) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
| Outputs |
|---|
(fma.f64 (/.f64 y t) (-.f64 z x) x) |
(if (<=.f64 z #s(literal -4088342928092689/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 z #s(literal 2653869750047641/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x))) |
(if (or (<=.f64 z #s(literal -4088342928092689/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) (not (<=.f64 z #s(literal 2653869750047641/842498333348457493583344221469363458551160763204392890034487820288 binary64)))) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)) |
(if (<=.f64 z #s(literal -4088342928092689/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 z #s(literal 2653869750047641/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x))) |
(if (or (<=.f64 z #s(literal -4088342928092689/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) (not (<=.f64 z #s(literal 2653869750047641/842498333348457493583344221469363458551160763204392890034487820288 binary64)))) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y t)) x))) |
(if (<=.f64 y #s(literal 47999999999999997038090838744094605471098658389967992250133113563059532531258004665923867455532516247227867839805238159175302808338432 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) #s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y)))) |
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) |
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 98 |
| 0 | 40 | 90 |
| 1 | 157 | 90 |
| 2 | 1039 | 90 |
| 0 | 8878 | 90 |
| 0 | 105 | 347 |
| 1 | 343 | 309 |
| 2 | 1113 | 241 |
| 3 | 3425 | 241 |
| 4 | 7054 | 241 |
| 0 | 8561 | 230 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 49 | 24 |
| 2 | 407 | 24 |
| 3 | 7029 | 24 |
| 0 | 8186 | 23 |
| 0 | 122 | 286 |
| 1 | 397 | 283 |
| 2 | 1302 | 283 |
| 3 | 3962 | 283 |
| 4 | 7537 | 283 |
| 0 | 8020 | 272 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 312 to 168 computations (46.2% saved)
Compiled 336 to 118 computations (64.9% saved)
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