
Time bar (total: 6.9s)
| 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 |
| 0% | 0% | 99.8% | 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 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 9 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 10 |
| 75% | 74.8% | 24.9% | 0.2% | 0% | 0% | 0% | 11 |
| 75% | 74.8% | 24.9% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 11 to 11 computations (0% saved)
| 1.0s | 8 256× | 0 | valid |
ival-div: 238.0ms (53.2% of total)ival-mult: 122.0ms (27.3% of total)ival-sub: 78.0ms (17.4% of total)ival-true: 6.0ms (1.3% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 14 | 0 | - | 1 | (4.834653301905909e-256 -8.285897831252856e-213 -1.6694060894583236e-71 9.898762703769194e-245 1.216682547432185e-133) | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
| 2 | 0 | - | 0 | - | (-.f64 (*.f64 x y) (*.f64 z t)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (*.f64 z t) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) | o/n | 12 | 0 |
| ↳ | (*.f64 x y) | overflow | 30 | |
| ↳ | (*.f64 z t) | overflow | 36 | |
| ↳ | (-.f64 (*.f64 x y) (*.f64 z t)) | overflow | 62 | |
-.f64 | (-.f64 (*.f64 x y) (*.f64 z t)) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 x y) | overflow | 30 | |
| ↳ | (*.f64 z t) | overflow | 36 | |
/.f64 | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) | u/n | 1 | 0 |
| ↳ | (*.f64 x y) | underflow | 37 | |
| ↳ | (*.f64 z t) | underflow | 27 | |
| ↳ | (-.f64 (*.f64 x y) (*.f64 z t)) | underflow | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 15 | 1 |
| - | 0 | 240 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 15 | 0 | 1 |
| - | 0 | 0 | 240 |
| number | freq |
|---|---|
| 0 | 241 |
| 1 | 15 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 61.0ms | 512× | 0 | valid |
Compiled 94 to 40 computations (57.4% saved)
ival-mult: 31.0ms (83.5% of total)ival-div: 4.0ms (10.8% of total)ival-sub: 2.0ms (5.4% 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 | 63 | 191 |
| 1 | 210 | 185 |
| 2 | 447 | 184 |
| 3 | 1469 | 184 |
| 4 | 3924 | 184 |
| 5 | 5230 | 184 |
| 6 | 5665 | 184 |
| 7 | 5785 | 184 |
| 8 | 5815 | 184 |
| 9 | 5831 | 184 |
| 10 | 6827 | 184 |
| 11 | 7275 | 184 |
| 12 | 7347 | 184 |
| 13 | 7347 | 184 |
| 14 | 7347 | 184 |
| 15 | 7459 | 184 |
| 16 | 7619 | 184 |
| 17 | 7683 | 184 |
| 18 | 7683 | 184 |
| 0 | 9 | 9 |
| 0 | 13 | 9 |
| 1 | 23 | 9 |
| 2 | 45 | 9 |
| 3 | 75 | 9 |
| 4 | 130 | 9 |
| 5 | 215 | 9 |
| 6 | 340 | 9 |
| 7 | 557 | 9 |
| 8 | 1006 | 9 |
| 9 | 1608 | 9 |
| 10 | 1906 | 9 |
| 11 | 1944 | 9 |
| 12 | 1972 | 9 |
| 13 | 1972 | 9 |
| 0 | 1972 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a) |
(negabs a)
(sort x y)
(sort z t)
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.0% | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (-.f64 (*.f64 x y) (*.f64 z t)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 0 | 13 | 27 |
| 1 | 23 | 27 |
| 2 | 45 | 27 |
| 3 | 75 | 27 |
| 4 | 130 | 27 |
| 5 | 215 | 27 |
| 6 | 340 | 27 |
| 7 | 557 | 27 |
| 8 | 1006 | 27 |
| 9 | 1608 | 27 |
| 10 | 1906 | 27 |
| 11 | 1944 | 27 |
| 12 | 1972 | 27 |
| 13 | 1972 | 27 |
| 0 | 1972 | 27 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
(-.f64 (*.f64 x y) (*.f64 z t)) |
(*.f64 x y) |
x |
y |
(*.f64 z t) |
z |
t |
a |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a) |
(-.f64 (*.f64 x y) (*.f64 z t)) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 z t) |
(*.f64 t z) |
z |
t |
a |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 z t) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.4531229358302058 | (-.f64 (*.f64 x y) (*.f64 z t)) | |
| accuracy | 3.3118039020105416 | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
| 21.0ms | 256× | 0 | valid |
Compiled 56 to 20 computations (64.3% saved)
ival-sub: 5.0ms (41.2% of total)ival-div: 4.0ms (33% of total)ival-mult: 3.0ms (24.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
(-.f64 (*.f64 x y) (*.f64 z t)) |
(*.f64 x y) |
(*.f64 z t) |
| Outputs |
|---|
(* -1 (/ (* t z) a)) |
(+ (* -1 (/ (* t z) a)) (/ (* x y) a)) |
(* -1 (* t z)) |
(- (* x y) (* t z)) |
(* x y) |
(/ (* x y) a) |
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a))) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a))) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y))))) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(+ (* -1 (* t z)) (* x y)) |
(* t z) |
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z)))) |
(* z (- (/ (* x y) z) t)) |
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a)))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t)))) |
(* t (- (/ (* x y) t) z)) |
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a)))) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(/ (- (* x y) (* t z)) a) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | a | @ | 0 | ((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t)) |
| 1.0ms | y | @ | -inf | ((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t)) |
| 1.0ms | x | @ | -inf | ((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t)) |
| 1.0ms | x | @ | 0 | ((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t)) |
| 1.0ms | z | @ | -inf | ((/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* x y) (* z t)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 219 |
| 1 | 314 | 189 |
| 2 | 1038 | 189 |
| 3 | 3905 | 189 |
| 4 | 6630 | 189 |
| 0 | 8007 | 189 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* t z) a)) |
(+ (* -1 (/ (* t z) a)) (/ (* x y) a)) |
(* -1 (* t z)) |
(- (* x y) (* t z)) |
(* x y) |
(/ (* x y) a) |
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a))) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a))) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y))))) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(+ (* -1 (* t z)) (* x y)) |
(* t z) |
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z)))) |
(* z (- (/ (* x y) z) t)) |
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a)))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t)))) |
(* t (- (/ (* x y) t) z)) |
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a)))) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(/ (- (* x y) (* t z)) a) |
| Outputs |
|---|
(* -1 (/ (* t z) a)) |
(*.f64 (neg.f64 z) (/.f64 t a)) |
(+ (* -1 (/ (* t z) a)) (/ (* x y) a)) |
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a) |
(* -1 (* t z)) |
(*.f64 (neg.f64 z) t) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(/ (* x y) a) |
(/.f64 (*.f64 y x) a) |
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a))) |
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) |
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a))) |
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y))))) |
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(* t z) |
(*.f64 t z) |
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z)))) |
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a) |
(* z (- (/ (* x y) z) t)) |
(*.f64 (-.f64 (/.f64 (*.f64 y x) z) t) z) |
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a)))) |
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(*.f64 (-.f64 (/.f64 (*.f64 y x) z) t) z) |
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t)))) |
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a) |
(* t (- (/ (* x y) t) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 y x) t) z) t) |
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a)))) |
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 (*.f64 y x) t) z) t) |
(/ (- (* x y) (* t z)) a) |
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 y x)) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 0 | 13 | 22 |
| 1 | 44 | 22 |
| 2 | 313 | 22 |
| 3 | 3289 | 22 |
| 0 | 8827 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
(-.f64 (*.f64 x y) (*.f64 z t)) |
(*.f64 x y) |
(*.f64 z t) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) a) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (fma.f64 (*.f64 t z) (fma.f64 (neg.f64 y) x (*.f64 t z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) a) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 t) z (*.f64 y x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) a) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) a) (+.f64 (pow.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) (-.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x (*.f64 t z))) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (pow.f64 (/.f64 a (fma.f64 (neg.f64 t) z (*.f64 y x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (fma.f64 (neg.f64 t) z (*.f64 y x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 t z (*.f64 y x)) a) (/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) (fma.f64 t z (*.f64 y x)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) a) (/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) a) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) a) (pow.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (*.f64 a a)) (pow.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 t z (*.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 (neg.f64 y) x (*.f64 t z))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 t z) a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 t z (*.f64 y x))) (pow.f64 (/.f64 (*.f64 y x) a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) (pow.f64 a #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) a)) |
(*.f64 (fma.f64 t z (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) (*.f64 (fma.f64 t z (*.f64 y x)) a))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 t z (*.f64 y x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 t z (*.f64 y x)) a) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (/.f64 (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64)) a)) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 (neg.f64 t) z (*.f64 y x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) a)) |
(*.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) (*.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) a))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
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(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)) (*.f64 (neg.f64 t) z)) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 t) z)) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) (-.f64 (*.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (fma.f64 (*.f64 t z) (fma.f64 (neg.f64 y) x (*.f64 t z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 t) z (*.f64 y x)) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))) |
(fma.f64 (*.f64 t #s(literal -1 binary64)) z (*.f64 y x)) |
(fma.f64 (*.f64 (*.f64 x x) y) (/.f64 y (fma.f64 t z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (fma.f64 t z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))) |
(fma.f64 (neg.f64 t) z (*.f64 y x)) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (fma.f64 t z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 t z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 t z) (*.f64 y x)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (neg.f64 z) t (*.f64 y x)) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 (*.f64 y x) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 t z (*.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 t z) #s(literal -1 binary64) (*.f64 y x)) |
(fma.f64 t (neg.f64 z) (*.f64 y x)) |
(fma.f64 z (neg.f64 t) (*.f64 y x)) |
(fma.f64 (*.f64 y x) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (fma.f64 t z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))) |
(fma.f64 y (/.f64 (*.f64 (*.f64 x x) y) (fma.f64 t z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))) |
(fma.f64 y x (*.f64 (neg.f64 t) z)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 t z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))) |
(fma.f64 x y (*.f64 (neg.f64 t) z)) |
(-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 t z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 y) x (*.f64 t z))) |
(-.f64 (*.f64 y x) (*.f64 t z)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 t) z (*.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 t) z)) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z (*.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z (*.f64 y x)) (*.f64 t z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (neg.f64 t) z) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 (neg.f64 t) z)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x))) |
(*.f64 y x) |
(*.f64 x y) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 y x))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t))) |
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z))) |
(*.f64 (neg.f64 (neg.f64 t)) z) |
(*.f64 (neg.f64 (neg.f64 z)) t) |
(*.f64 (neg.f64 t) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) z)) |
(*.f64 (neg.f64 z) (neg.f64 t)) |
(*.f64 #s(literal 1 binary64) (*.f64 t z)) |
(*.f64 t (neg.f64 (neg.f64 z))) |
(*.f64 t z) |
(*.f64 z (neg.f64 (neg.f64 t))) |
(*.f64 z t) |
(pow.f64 (*.f64 t z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 t) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 t z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 t z))) |
Compiled 10 887 to 1 215 computations (88.8% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 400 | 8 | 408 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 400 | 9 | 409 |
| Status | Accuracy | Program |
|---|---|---|
| 86.2% | (fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a))) | |
| ▶ | 86.5% | (fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a))) |
| ✓ | 94.0% | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
| ▶ | 59.9% | (/.f64 (-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) (*.f64 a a)) |
| ▶ | 53.7% | (/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) |
| 93.9% | (/.f64 #s(literal -1 binary64) (/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z)))) | |
| ▶ | 93.9% | (*.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) (/.f64 #s(literal -1 binary64) a)) |
| ▶ | 51.1% | #s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
| 53.2% | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) |
Compiled 217 to 191 computations (12% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 a (*.f64 y x)) | |
| cost-diff | 320 | (-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) | |
| cost-diff | 640 | (/.f64 (-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) (*.f64 a a)) | |
| cost-diff | 0 | (neg.f64 t) | |
| cost-diff | 0 | (*.f64 (neg.f64 t) (/.f64 z a)) | |
| cost-diff | 0 | (/.f64 x a) | |
| cost-diff | 704 | (fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) t) | |
| cost-diff | 0 | #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) a) | |
| cost-diff | 0 | #s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) | |
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) x (*.f64 t z)) | |
| cost-diff | 320 | (*.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) (/.f64 #s(literal -1 binary64) a)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 173 |
| 0 | 54 | 167 |
| 1 | 105 | 167 |
| 2 | 217 | 164 |
| 3 | 544 | 161 |
| 4 | 1215 | 161 |
| 5 | 2742 | 161 |
| 6 | 4942 | 161 |
| 7 | 6439 | 161 |
| 8 | 7310 | 161 |
| 9 | 7624 | 161 |
| 10 | 7788 | 161 |
| 11 | 7861 | 161 |
| 0 | 8137 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) (/.f64 #s(literal -1 binary64) a)) |
(fma.f64 (neg.f64 y) x (*.f64 t z)) |
(neg.f64 y) |
y |
x |
(*.f64 t z) |
t |
z |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
(/.f64 (*.f64 y x) a) |
(*.f64 y x) |
y |
x |
a |
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) |
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) |
(*.f64 (neg.f64 z) t) |
(neg.f64 z) |
z |
t |
a |
(fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a))) |
(/.f64 x a) |
x |
a |
y |
(*.f64 (neg.f64 t) (/.f64 z a)) |
(neg.f64 t) |
t |
(/.f64 z a) |
z |
(/.f64 (-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) (*.f64 a a)) |
(-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) |
(*.f64 a (*.f64 y x)) |
a |
(*.f64 y x) |
y |
x |
(*.f64 a (*.f64 t z)) |
(*.f64 t z) |
t |
z |
(*.f64 a a) |
| Outputs |
|---|
(*.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(fma.f64 (neg.f64 y) x (*.f64 t z)) |
(fma.f64 x (neg.f64 y) (*.f64 z t)) |
(neg.f64 y) |
y |
x |
(*.f64 t z) |
(*.f64 z t) |
t |
z |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) |
(/.f64 (*.f64 y x) a) |
(*.f64 (/.f64 x a) y) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
a |
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) |
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) |
(*.f64 (neg.f64 z) t) |
(neg.f64 z) |
z |
t |
a |
(fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(/.f64 x a) |
x |
a |
y |
(*.f64 (neg.f64 t) (/.f64 z a)) |
(/.f64 (*.f64 (neg.f64 z) t) a) |
(neg.f64 t) |
t |
(/.f64 z a) |
z |
(/.f64 (-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) (*.f64 a a)) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) |
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(*.f64 a (*.f64 y x)) |
(*.f64 (*.f64 x y) a) |
a |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 a (*.f64 t z)) |
(*.f64 a (*.f64 z t)) |
(*.f64 t z) |
(*.f64 z t) |
t |
z |
(*.f64 a a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.3515563074906176 | (-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) | |
| accuracy | 6.337261005039653 | (*.f64 a (*.f64 t z)) | |
| accuracy | 7.548272500732523 | (*.f64 a (*.f64 y x)) | |
| accuracy | 24.774441331258846 | (/.f64 (-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) (*.f64 a a)) | |
| accuracy | 0.0 | (/.f64 x a) | |
| accuracy | 0.0 | (neg.f64 t) | |
| accuracy | 4.870960055260998 | (fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a))) | |
| accuracy | 5.652431006228376 | (*.f64 (neg.f64 t) (/.f64 z a)) | |
| accuracy | 0.0 | (*.f64 (neg.f64 z) t) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 3.3118039020105416 | (/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) | |
| accuracy | 29.787749330806033 | #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 3.2224933740491615 | (/.f64 (*.f64 y x) a) | |
| accuracy | 30.04239673507117 | #s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) | |
| accuracy | 0.0 | (*.f64 t z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.49999449521112044 | (fma.f64 (neg.f64 y) x (*.f64 t z)) | |
| accuracy | 3.4234639117789842 | (*.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) (/.f64 #s(literal -1 binary64) a)) |
| 59.0ms | 256× | 0 | valid |
Compiled 335 to 65 computations (80.6% saved)
ival-mult: 22.0ms (55.7% of total)ival-div: 9.0ms (22.8% of total)ival-neg: 3.0ms (7.6% of total)ival-sub: 2.0ms (5.1% of total)ival-add: 2.0ms (5.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) (/.f64 #s(literal -1 binary64) a)) |
(fma.f64 (neg.f64 y) x (*.f64 t z)) |
(neg.f64 y) |
(*.f64 t z) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
(/.f64 (*.f64 y x) a) |
(*.f64 y x) |
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) |
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) |
(*.f64 (neg.f64 z) t) |
(neg.f64 z) |
(fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a))) |
(/.f64 x a) |
(*.f64 (neg.f64 t) (/.f64 z a)) |
(neg.f64 t) |
(/.f64 (-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) (*.f64 a a)) |
(-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) |
(*.f64 a (*.f64 y x)) |
(*.f64 a (*.f64 t z)) |
| Outputs |
|---|
(* -1 (/ (* t z) a)) |
(+ (* -1 (/ (* t z) a)) (/ (* x y) a)) |
(* t z) |
(+ (* -1 (* x y)) (* t z)) |
(/ (* x y) a) |
(* x y) |
(* -1 (* t z)) |
(- (* x y) (* t z)) |
(/ x a) |
(* -1 (* a (* t z))) |
(- (* a (* x y)) (* a (* t z))) |
(* a (* x y)) |
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* t z) x))) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* x (+ (* -1 (/ (* a (* t z)) x)) (* a y))) |
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) |
(* -1 (* x (+ y (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(* -1 (* x (+ (* -1 (* a y)) (/ (* a (* t z)) x)))) |
(* -1 y) |
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a))) |
(* y (+ (* -1 x) (/ (* t z) y))) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* y (+ (* -1 (/ (* a (* t z)) y)) (* a x))) |
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y))))) |
(* -1 (* y (+ x (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 (* a x)) (/ (* a (* t z)) y)))) |
(+ (* -1 (* t z)) (* x y)) |
(* -1 z) |
(+ (* -1 (* a (* t z))) (* a (* x y))) |
(* a (* t z)) |
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z)))) |
(* z (+ t (* -1 (/ (* x y) z)))) |
(* z (- (/ (* x y) z) t)) |
(* z (- (/ (* a (* x y)) z) (* a t))) |
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a)))) |
(* -1 (* z (+ (* -1 t) (/ (* x y) z)))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(* -1 (* z (- (* -1 (/ (* a (* x y)) z)) (* -1 (* a t))))) |
(* -1 t) |
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t)))) |
(* t (+ z (* -1 (/ (* x y) t)))) |
(* t (- (/ (* x y) t) z)) |
(* t (- (/ (* a (* x y)) t) (* a z))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a)))) |
(* -1 (* t (+ (* -1 z) (/ (* x y) t)))) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* a (* x y)) t)) (* -1 (* a z))))) |
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a)) |
(/ (- (* x y) (* t z)) a) |
(/ (+ (* -1 (* t z)) (* x y)) a) |
(* a (- (* x y) (* t z))) |
(* -1 (/ (- (* -1 (* x y)) (* -1 (* t z))) a)) |
(* -1 (* a (- (* -1 (* x y)) (* -1 (* t z))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | a | @ | inf | ((* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (neg y) (* t z) (/ (- (* x y) (* z t)) a) (/ (* y x) a) (* y x) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* (neg z) t) (neg z) (+ (* (/ x a) y) (* (neg t) (/ z a))) (/ x a) (* (neg t) (/ z a)) (neg t) (/ (- (* a (* y x)) (* a (* t z))) (* a a)) (- (* a (* y x)) (* a (* t z))) (* a (* y x)) (* a (* t z))) |
| 20.0ms | x | @ | -inf | ((* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (neg y) (* t z) (/ (- (* x y) (* z t)) a) (/ (* y x) a) (* y x) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* (neg z) t) (neg z) (+ (* (/ x a) y) (* (neg t) (/ z a))) (/ x a) (* (neg t) (/ z a)) (neg t) (/ (- (* a (* y x)) (* a (* t z))) (* a a)) (- (* a (* y x)) (* a (* t z))) (* a (* y x)) (* a (* t z))) |
| 5.0ms | y | @ | 0 | ((* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (neg y) (* t z) (/ (- (* x y) (* z t)) a) (/ (* y x) a) (* y x) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* (neg z) t) (neg z) (+ (* (/ x a) y) (* (neg t) (/ z a))) (/ x a) (* (neg t) (/ z a)) (neg t) (/ (- (* a (* y x)) (* a (* t z))) (* a a)) (- (* a (* y x)) (* a (* t z))) (* a (* y x)) (* a (* t z))) |
| 3.0ms | a | @ | 0 | ((* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (neg y) (* t z) (/ (- (* x y) (* z t)) a) (/ (* y x) a) (* y x) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* (neg z) t) (neg z) (+ (* (/ x a) y) (* (neg t) (/ z a))) (/ x a) (* (neg t) (/ z a)) (neg t) (/ (- (* a (* y x)) (* a (* t z))) (* a a)) (- (* a (* y x)) (* a (* t z))) (* a (* y x)) (* a (* t z))) |
| 3.0ms | a | @ | -inf | ((* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (neg y) (* t z) (/ (- (* x y) (* z t)) a) (/ (* y x) a) (* y x) (/ (- (* x y) (* z t)) a) (- (* x y) (* z t)) (* (neg z) t) (neg z) (+ (* (/ x a) y) (* (neg t) (/ z a))) (/ x a) (* (neg t) (/ z a)) (neg t) (/ (- (* a (* y x)) (* a (* t z))) (* a a)) (- (* a (* y x)) (* a (* t z))) (* a (* y x)) (* a (* t z))) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 472 |
| 1 | 548 | 416 |
| 2 | 1780 | 416 |
| 3 | 5274 | 416 |
| 0 | 8655 | 416 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* t z) a)) |
(+ (* -1 (/ (* t z) a)) (/ (* x y) a)) |
(* t z) |
(+ (* -1 (* x y)) (* t z)) |
(/ (* x y) a) |
(* x y) |
(* -1 (* t z)) |
(- (* x y) (* t z)) |
(/ x a) |
(* -1 (* a (* t z))) |
(- (* a (* x y)) (* a (* t z))) |
(* a (* x y)) |
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* t z) x))) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(* x (+ (* -1 (/ (* a (* t z)) x)) (* a y))) |
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) |
(* -1 (* x (+ y (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(* -1 (* x (+ (* -1 (* a y)) (/ (* a (* t z)) x)))) |
(* -1 y) |
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a))) |
(* y (+ (* -1 x) (/ (* t z) y))) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(* y (+ (* -1 (/ (* a (* t z)) y)) (* a x))) |
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y))))) |
(* -1 (* y (+ x (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 (* a x)) (/ (* a (* t z)) y)))) |
(+ (* -1 (* t z)) (* x y)) |
(* -1 z) |
(+ (* -1 (* a (* t z))) (* a (* x y))) |
(* a (* t z)) |
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z)))) |
(* z (+ t (* -1 (/ (* x y) z)))) |
(* z (- (/ (* x y) z) t)) |
(* z (- (/ (* a (* x y)) z) (* a t))) |
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a)))) |
(* -1 (* z (+ (* -1 t) (/ (* x y) z)))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(* -1 (* z (- (* -1 (/ (* a (* x y)) z)) (* -1 (* a t))))) |
(* -1 t) |
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t)))) |
(* t (+ z (* -1 (/ (* x y) t)))) |
(* t (- (/ (* x y) t) z)) |
(* t (- (/ (* a (* x y)) t) (* a z))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a)))) |
(* -1 (* t (+ (* -1 z) (/ (* x y) t)))) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* a (* x y)) t)) (* -1 (* a z))))) |
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a)) |
(/ (- (* x y) (* t z)) a) |
(/ (+ (* -1 (* t z)) (* x y)) a) |
(* a (- (* x y) (* t z))) |
(* -1 (/ (- (* -1 (* x y)) (* -1 (* t z))) a)) |
(* -1 (* a (- (* -1 (* x y)) (* -1 (* t z))))) |
| Outputs |
|---|
(* -1 (/ (* t z) a)) |
(*.f64 (/.f64 (neg.f64 z) a) t) |
(+ (* -1 (/ (* t z) a)) (/ (* x y) a)) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* t z) |
(*.f64 z t) |
(+ (* -1 (* x y)) (* t z)) |
(fma.f64 (neg.f64 x) y (*.f64 z t)) |
(/ (* x y) a) |
(/.f64 (*.f64 x y) a) |
(* x y) |
(*.f64 x y) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(- (* x y) (* t z)) |
(fma.f64 (neg.f64 t) z (*.f64 x y)) |
(/ x a) |
(/.f64 x a) |
(* -1 (* a (* t z))) |
(*.f64 (neg.f64 a) (*.f64 z t)) |
(- (* a (* x y)) (* a (* t z))) |
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* a (* x y)) |
(*.f64 (*.f64 x y) a) |
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ (* t z) x))) |
(fma.f64 (neg.f64 x) y (*.f64 z t)) |
(* x (+ y (* -1 (/ (* t z) x)))) |
(fma.f64 (neg.f64 t) z (*.f64 x y)) |
(* x (+ (* -1 (/ (* a (* t z)) x)) (* a y))) |
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 (* x (+ y (* -1 (/ (* t z) x))))) |
(fma.f64 (neg.f64 x) y (*.f64 z t)) |
(* -1 (* x (+ (* -1 y) (/ (* t z) x)))) |
(fma.f64 (neg.f64 t) z (*.f64 x y)) |
(* -1 (* x (+ (* -1 (* a y)) (/ (* a (* t z)) x)))) |
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 y) |
(neg.f64 y) |
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* y (+ (* -1 x) (/ (* t z) y))) |
(fma.f64 (neg.f64 x) y (*.f64 z t)) |
(* y (+ x (* -1 (/ (* t z) y)))) |
(fma.f64 (neg.f64 t) z (*.f64 x y)) |
(* y (+ (* -1 (/ (* a (* t z)) y)) (* a x))) |
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y))))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 (* y (+ x (* -1 (/ (* t z) y))))) |
(fma.f64 (neg.f64 x) y (*.f64 z t)) |
(* -1 (* y (+ (* -1 x) (/ (* t z) y)))) |
(fma.f64 (neg.f64 t) z (*.f64 x y)) |
(* -1 (* y (+ (* -1 (* a x)) (/ (* a (* t z)) y)))) |
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(+ (* -1 (* t z)) (* x y)) |
(fma.f64 (neg.f64 t) z (*.f64 x y)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 (* a (* t z))) (* a (* x y))) |
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* a (* t z)) |
(*.f64 (*.f64 z t) a) |
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z)))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* z (+ t (* -1 (/ (* x y) z)))) |
(fma.f64 (neg.f64 x) y (*.f64 z t)) |
(* z (- (/ (* x y) z) t)) |
(fma.f64 (neg.f64 t) z (*.f64 x y)) |
(* z (- (/ (* a (* x y)) z) (* a t))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 x y) z) t) a) z) |
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a)))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 (* z (+ (* -1 t) (/ (* x y) z)))) |
(fma.f64 (neg.f64 x) y (*.f64 z t)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t)))) |
(fma.f64 (neg.f64 t) z (*.f64 x y)) |
(* -1 (* z (- (* -1 (/ (* a (* x y)) z)) (* -1 (* a t))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 x y) z) t) a) z) |
(* -1 t) |
(neg.f64 t) |
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t)))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* t (+ z (* -1 (/ (* x y) t)))) |
(fma.f64 (neg.f64 x) y (*.f64 z t)) |
(* t (- (/ (* x y) t) z)) |
(fma.f64 (neg.f64 t) z (*.f64 x y)) |
(* t (- (/ (* a (* x y)) t) (* a z))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 x y) t) z) a) t) |
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a)))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 (* t (+ (* -1 z) (/ (* x y) t)))) |
(fma.f64 (neg.f64 x) y (*.f64 z t)) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z)))) |
(fma.f64 (neg.f64 t) z (*.f64 x y)) |
(* -1 (* t (- (* -1 (/ (* a (* x y)) t)) (* -1 (* a z))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 x y) t) z) a) t) |
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a)) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(/ (- (* x y) (* t z)) a) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(/ (+ (* -1 (* t z)) (* x y)) a) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* a (- (* x y) (* t z))) |
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 (/ (- (* -1 (* x y)) (* -1 (* t z))) a)) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 (* a (- (* -1 (* x y)) (* -1 (* t z))))) |
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 136 |
| 0 | 54 | 130 |
| 1 | 205 | 125 |
| 2 | 1456 | 125 |
| 0 | 8643 | 125 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) (/.f64 #s(literal -1 binary64) a)) |
(fma.f64 (neg.f64 y) x (*.f64 t z)) |
(neg.f64 y) |
(*.f64 t z) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
(/.f64 (*.f64 y x) a) |
(*.f64 y x) |
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) |
#s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) |
(*.f64 (neg.f64 z) t) |
(neg.f64 z) |
(fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a))) |
(/.f64 x a) |
(*.f64 (neg.f64 t) (/.f64 z a)) |
(neg.f64 t) |
(/.f64 (-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) (*.f64 a a)) |
(-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) |
(*.f64 a (*.f64 y x)) |
(*.f64 a (*.f64 t z)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x (neg.f64 y) (*.f64 z t)) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))) a) (/.f64 (pow.f64 (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) a)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) y (*.f64 (neg.f64 t) z)) #s(literal -1 binary64)) a)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) a) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) y (*.f64 (neg.f64 t) z)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (neg.f64 y) (*.f64 z t)) a) #s(literal -1 binary64)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) a)) (pow.f64 (fma.f64 (neg.f64 x) y (*.f64 (neg.f64 t) z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) a)) (pow.f64 (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (neg.f64 x) y (*.f64 (neg.f64 t) z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 x (neg.f64 y) (*.f64 z t)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 y) (*.f64 z t)))) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -1 binary64)) (fma.f64 (neg.f64 x) y (*.f64 (neg.f64 t) z))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) (fma.f64 (neg.f64 x) y (*.f64 (neg.f64 t) z))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -1 binary64)) (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 (neg.f64 x) y (*.f64 (neg.f64 t) z))))) |
(*.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) y (*.f64 (neg.f64 t) z)) (*.f64 a #s(literal -1 binary64))))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x y) a) #s(literal 2 binary64)) (pow.f64 (*.f64 a (*.f64 z t)) #s(literal 2 binary64))) (*.f64 a (fma.f64 z t (*.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x y) a) #s(literal 3 binary64)) (pow.f64 (*.f64 a (*.f64 z t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x y) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a (*.f64 z t)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) a) (*.f64 (*.f64 (neg.f64 a) z) t))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x y) a) #s(literal 3 binary64)) (pow.f64 (*.f64 a (*.f64 z t)) #s(literal 3 binary64))) (fma.f64 (*.f64 a (*.f64 z t)) (*.f64 a (fma.f64 z t (*.f64 x y))) (pow.f64 (*.f64 (*.f64 x y) a) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z t (*.f64 x y)) (*.f64 a (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 a (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x y) a) (*.f64 (*.f64 (neg.f64 a) z) t)) (-.f64 (pow.f64 (*.f64 (*.f64 x y) a) #s(literal 2 binary64)) (pow.f64 (*.f64 a (*.f64 z t)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a (*.f64 z t)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) a) (*.f64 (*.f64 (neg.f64 a) z) t)))) (-.f64 (pow.f64 (*.f64 (*.f64 x y) a) #s(literal 3 binary64)) (pow.f64 (*.f64 a (*.f64 z t)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 a x) y (*.f64 (*.f64 (neg.f64 a) z) t)) |
(fma.f64 (*.f64 (neg.f64 a) z) t (*.f64 (*.f64 x y) a)) |
(fma.f64 (*.f64 (neg.f64 a) t) z (*.f64 (*.f64 x y) a)) |
(fma.f64 (neg.f64 (*.f64 a t)) z (*.f64 (*.f64 x y) a)) |
(fma.f64 (*.f64 (neg.f64 t) z) a (*.f64 (*.f64 x y) a)) |
(fma.f64 (*.f64 a t) (neg.f64 z) (*.f64 (*.f64 x y) a)) |
(fma.f64 (*.f64 a y) x (*.f64 (*.f64 (neg.f64 a) z) t)) |
(fma.f64 (neg.f64 a) (*.f64 z t) (*.f64 (*.f64 x y) a)) |
(fma.f64 (*.f64 x y) a (*.f64 (*.f64 (neg.f64 a) z) t)) |
(fma.f64 a (*.f64 (neg.f64 t) z) (*.f64 (*.f64 x y) a)) |
(fma.f64 a (*.f64 x y) (*.f64 (*.f64 (neg.f64 a) z) t)) |
(fma.f64 #s(literal -1 binary64) (*.f64 a (*.f64 z t)) (*.f64 (*.f64 x y) a)) |
(fma.f64 (*.f64 z t) (neg.f64 a) (*.f64 (*.f64 x y) a)) |
(fma.f64 x (*.f64 a y) (*.f64 (*.f64 (neg.f64 a) z) t)) |
(fma.f64 y (*.f64 x a) (*.f64 (*.f64 (neg.f64 a) z) t)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) a) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x y) a) (*.f64 (*.f64 (neg.f64 a) z) t))) (/.f64 (pow.f64 (*.f64 a (*.f64 z t)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x y) a) (*.f64 (*.f64 (neg.f64 a) z) t)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) a) #s(literal 2 binary64)) (*.f64 a (fma.f64 z t (*.f64 x y)))) (/.f64 (pow.f64 (*.f64 a (*.f64 z t)) #s(literal 2 binary64)) (*.f64 a (fma.f64 z t (*.f64 x y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x y) a) #s(literal 3 binary64)) (fma.f64 (*.f64 a (*.f64 z t)) (*.f64 a (fma.f64 z t (*.f64 x y))) (pow.f64 (*.f64 (*.f64 x y) a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 a (*.f64 z t)) #s(literal 3 binary64)) (fma.f64 (*.f64 a (*.f64 z t)) (*.f64 a (fma.f64 z t (*.f64 x y))) (pow.f64 (*.f64 (*.f64 x y) a) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (*.f64 x y) a) (*.f64 a (*.f64 z t))) |
(+.f64 (*.f64 (*.f64 (neg.f64 a) z) t) (*.f64 (*.f64 x y) a)) |
(+.f64 (*.f64 (*.f64 x y) a) (*.f64 (*.f64 (neg.f64 a) z) t)) |
(*.f64 (*.f64 a x) y) |
(*.f64 (*.f64 a y) x) |
(*.f64 (*.f64 x y) a) |
(*.f64 a (*.f64 x y)) |
(*.f64 x (*.f64 a y)) |
(*.f64 y (*.f64 x a)) |
(*.f64 (*.f64 a z) t) |
(*.f64 (*.f64 a t) z) |
(*.f64 a (*.f64 z t)) |
(*.f64 (*.f64 z t) a) |
(*.f64 z (*.f64 a t)) |
(*.f64 t (*.f64 z a)) |
Compiled 21 307 to 2 480 computations (88.4% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 911 | 6 | 917 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 915 | 11 | 926 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 94.0% | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
| ✓ | 53.7% | (/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) |
| ▶ | 37.5% | (/.f64 #s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (neg.f64 a) (*.f64 z t))) (*.f64 a a)) |
| ▶ | 93.9% | (/.f64 #s(literal -1 binary64) (/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z)))) |
| ▶ | 53.6% | (*.f64 #s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) (/.f64 #s(literal -1 binary64) a)) |
| ✓ | 51.1% | #s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
| 48.4% | #s(approx (/ (- (* x y) (* z t)) a) (/.f64 y (/.f64 a x))) | |
| 48.9% | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) | |
| 53.2% | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) | |
| ▶ | 49.3% | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
| ▶ | 53.4% | #s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) |
Compiled 296 to 245 computations (17.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (*.f64 (neg.f64 a) (*.f64 z t)) | |
| cost-diff | 0 | #s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (neg.f64 a) (*.f64 z t))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (neg.f64 a) (*.f64 z t))) (*.f64 a a)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) a) | |
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | #s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) | |
| cost-diff | 192 | (*.f64 #s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) (/.f64 #s(literal -1 binary64) a)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (/.f64 (neg.f64 z) a) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 z) a) t) | |
| cost-diff | 0 | #s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) | |
| cost-diff | 0 | (/.f64 y a) | |
| cost-diff | 0 | (*.f64 x (/.f64 y a)) | |
| cost-diff | 0 | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) x (*.f64 t z)) | |
| cost-diff | 0 | (/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z))) | |
| cost-diff | 704 | (/.f64 #s(literal -1 binary64) (/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 190 |
| 0 | 60 | 186 |
| 1 | 117 | 186 |
| 2 | 210 | 183 |
| 3 | 374 | 181 |
| 4 | 611 | 181 |
| 5 | 962 | 181 |
| 6 | 1786 | 181 |
| 7 | 2540 | 181 |
| 8 | 2971 | 181 |
| 9 | 3207 | 181 |
| 10 | 3372 | 181 |
| 11 | 3457 | 181 |
| 12 | 3504 | 181 |
| 13 | 3524 | 181 |
| 14 | 3533 | 181 |
| 15 | 3533 | 181 |
| 16 | 3533 | 181 |
| 0 | 3533 | 181 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z)))) |
#s(literal -1 binary64) |
(/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z))) |
a |
(fma.f64 (neg.f64 y) x (*.f64 t z)) |
(neg.f64 y) |
y |
x |
(*.f64 t z) |
t |
z |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
(*.f64 x (/.f64 y a)) |
x |
(/.f64 y a) |
y |
a |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) |
(*.f64 (/.f64 (neg.f64 z) a) t) |
(/.f64 (neg.f64 z) a) |
(neg.f64 z) |
z |
a |
t |
(*.f64 #s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) (/.f64 #s(literal -1 binary64) a)) |
#s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) |
(*.f64 z t) |
z |
t |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
(/.f64 #s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (neg.f64 a) (*.f64 z t))) (*.f64 a a)) |
#s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (neg.f64 a) (*.f64 z t))) |
(*.f64 (neg.f64 a) (*.f64 z t)) |
(neg.f64 a) |
a |
(*.f64 z t) |
z |
t |
(*.f64 a a) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z)))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
#s(literal -1 binary64) |
(/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z))) |
(/.f64 a (fma.f64 (neg.f64 x) y (*.f64 z t))) |
a |
(fma.f64 (neg.f64 y) x (*.f64 t z)) |
(fma.f64 (neg.f64 x) y (*.f64 z t)) |
(neg.f64 y) |
y |
x |
(*.f64 t z) |
(*.f64 z t) |
t |
z |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (/.f64 (*.f64 x y) a)) |
(*.f64 x (/.f64 y a)) |
(/.f64 (*.f64 x y) a) |
x |
(/.f64 y a) |
y |
a |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) |
(*.f64 (/.f64 (neg.f64 z) a) t) |
(/.f64 (neg.f64 z) a) |
(neg.f64 z) |
z |
a |
t |
(*.f64 #s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) (neg.f64 a)) |
#s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) |
(*.f64 z t) |
z |
t |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
(/.f64 #s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (neg.f64 a) (*.f64 z t))) (*.f64 a a)) |
(/.f64 #s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (*.f64 (neg.f64 z) t) a)) (*.f64 a a)) |
#s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (neg.f64 a) (*.f64 z t))) |
#s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (*.f64 (neg.f64 z) t) a)) |
(*.f64 (neg.f64 a) (*.f64 z t)) |
(*.f64 (*.f64 (neg.f64 z) t) a) |
(neg.f64 a) |
a |
(*.f64 z t) |
z |
t |
(*.f64 a a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 a) | |
| accuracy | 6.337261005039653 | (*.f64 (neg.f64 a) (*.f64 z t)) | |
| accuracy | 24.774441331258846 | (/.f64 #s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (neg.f64 a) (*.f64 z t))) (*.f64 a a)) | |
| accuracy | 29.597940959113163 | #s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (neg.f64 a) (*.f64 z t))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) a) | |
| accuracy | 0.0 | (*.f64 z t) | |
| accuracy | 3.4234639117789842 | (*.f64 #s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) (/.f64 #s(literal -1 binary64) a)) | |
| accuracy | 29.787749330806033 | #s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) | |
| accuracy | 0.0 | (/.f64 (neg.f64 z) a) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 5.652431006228376 | (*.f64 (/.f64 (neg.f64 z) a) t) | |
| accuracy | 27.58087325075286 | #s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) | |
| accuracy | 0.0 | (/.f64 y a) | |
| accuracy | 5.431117764402294 | (*.f64 x (/.f64 y a)) | |
| accuracy | 30.04239673507117 | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.18359375 | (/.f64 #s(literal -1 binary64) (/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z)))) | |
| accuracy | 0.49999449521112044 | (fma.f64 (neg.f64 y) x (*.f64 t z)) | |
| accuracy | 3.386549706602337 | (/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z))) |
| 113.0ms | 256× | 0 | valid |
Compiled 356 to 75 computations (78.9% saved)
ival-div: 47.0ms (60.9% of total)ival-mult: 23.0ms (29.8% of total)ival-neg: 3.0ms (3.9% of total)ival-sub: 2.0ms (2.6% of total)ival-add: 1.0ms (1.3% 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) (/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z)))) |
(/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z))) |
(fma.f64 (neg.f64 y) x (*.f64 t z)) |
(neg.f64 y) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
(*.f64 x (/.f64 y a)) |
(/.f64 y a) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) |
(*.f64 (/.f64 (neg.f64 z) a) t) |
(/.f64 (neg.f64 z) a) |
(neg.f64 z) |
(*.f64 #s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) (/.f64 #s(literal -1 binary64) a)) |
#s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) |
(*.f64 z t) |
(/.f64 #s(literal -1 binary64) a) |
(/.f64 #s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (neg.f64 a) (*.f64 z t))) (*.f64 a a)) |
#s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (neg.f64 a) (*.f64 z t))) |
(*.f64 (neg.f64 a) (*.f64 z t)) |
(neg.f64 a) |
| Outputs |
|---|
(* -1 (/ (* t z) a)) |
(+ (* -1 (/ (* t z) a)) (/ (* x y) a)) |
(/ a (* t z)) |
(+ (/ a (* t z)) (/ (* a (* x y)) (* (pow t 2) (pow z 2)))) |
(+ (* x (- (/ (* a (* x (pow y 2))) (* (pow t 3) (pow z 3))) (* -1 (/ (* a y) (* (pow t 2) (pow z 2)))))) (/ a (* t z))) |
(+ (* x (- (* x (- (/ (* a (* x (pow y 3))) (* (pow t 4) (pow z 4))) (* -1 (/ (* a (pow y 2)) (* (pow t 3) (pow z 3)))))) (* -1 (/ (* a y) (* (pow t 2) (pow z 2)))))) (/ a (* t z))) |
(* t z) |
(+ (* -1 (* x y)) (* t z)) |
(/ (* x y) a) |
(* -1 (* a (* t z))) |
(- (* a (* x y)) (* a (* t z))) |
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a))) |
(* -1 (/ a (* x y))) |
(/ (+ (* -1 (/ a y)) (* -1 (/ (* a (* t z)) (* x (pow y 2))))) x) |
(/ (- (+ (* -1 (/ a y)) (* -1 (/ (* a (* (pow t 2) (pow z 2))) (* (pow x 2) (pow y 3))))) (/ (* a (* t z)) (* x (pow y 2)))) x) |
(/ (- (+ (* -1 (/ a y)) (* -1 (/ (* a (* (pow t 3) (pow z 3))) (* (pow x 3) (pow y 4))))) (+ (/ (* a (* t z)) (* x (pow y 2))) (/ (* a (* (pow t 2) (pow z 2))) (* (pow x 2) (pow y 3))))) x) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* t z) x))) |
(* a (* x y)) |
(* x (+ (* -1 (/ (* a (* t z)) x)) (* a y))) |
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) |
(* -1 (/ (+ (/ a y) (/ (* a (* t z)) (* x (pow y 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* a (* (pow t 2) (pow z 2))) (* x (pow y 3)))) (/ (* a (* t z)) (pow y 2))) x)) (/ a y)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* a (* (pow t 3) (pow z 3))) (* x (pow y 4))) (* -1 (/ (* a (* (pow t 2) (pow z 2))) (pow y 3)))) x)) (/ (* a (* t z)) (pow y 2))) x)) (/ a y)) x)) |
(* -1 (* x (+ y (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ (* -1 (* a y)) (/ (* a (* t z)) x)))) |
(+ (* y (- (/ (* a (* (pow x 2) y)) (* (pow t 3) (pow z 3))) (* -1 (/ (* a x) (* (pow t 2) (pow z 2)))))) (/ a (* t z))) |
(+ (* y (- (* y (- (/ (* a (* (pow x 3) y)) (* (pow t 4) (pow z 4))) (* -1 (/ (* a (pow x 2)) (* (pow t 3) (pow z 3)))))) (* -1 (/ (* a x) (* (pow t 2) (pow z 2)))))) (/ a (* t z))) |
(* -1 y) |
(/ y a) |
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a))) |
(/ (+ (* -1 (/ a x)) (* -1 (/ (* a (* t z)) (* (pow x 2) y)))) y) |
(/ (- (+ (* -1 (/ a x)) (* -1 (/ (* a (* (pow t 2) (pow z 2))) (* (pow x 3) (pow y 2))))) (/ (* a (* t z)) (* (pow x 2) y))) y) |
(/ (- (+ (* -1 (/ a x)) (* -1 (/ (* a (* (pow t 3) (pow z 3))) (* (pow x 4) (pow y 3))))) (+ (/ (* a (* t z)) (* (pow x 2) y)) (/ (* a (* (pow t 2) (pow z 2))) (* (pow x 3) (pow y 2))))) y) |
(* y (+ (* -1 x) (/ (* t z) y))) |
(* y (+ (* -1 (/ (* a (* t z)) y)) (* a x))) |
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y))))) |
(* -1 (/ (+ (/ a x) (/ (* a (* t z)) (* (pow x 2) y))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* a (* (pow t 2) (pow z 2))) (* (pow x 3) y))) (/ (* a (* t z)) (pow x 2))) y)) (/ a x)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* a (* (pow t 3) (pow z 3))) (* (pow x 4) y)) (* -1 (/ (* a (* (pow t 2) (pow z 2))) (pow x 3)))) y)) (/ (* a (* t z)) (pow x 2))) y)) (/ a x)) y)) |
(* -1 (* y (+ x (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 (* a x)) (/ (* a (* t z)) y)))) |
(+ (* -1 (/ a (* x y))) (* -1 (/ (* a (* t z)) (* (pow x 2) (pow y 2))))) |
(+ (* -1 (/ a (* x y))) (* z (- (* -1 (/ (* a (* (pow t 2) z)) (* (pow x 3) (pow y 3)))) (/ (* a t) (* (pow x 2) (pow y 2)))))) |
(+ (* -1 (/ a (* x y))) (* z (- (* z (- (* -1 (/ (* a (* (pow t 3) z)) (* (pow x 4) (pow y 4)))) (/ (* a (pow t 2)) (* (pow x 3) (pow y 3))))) (/ (* a t) (* (pow x 2) (pow y 2)))))) |
(* -1 (/ z a)) |
(* -1 z) |
(+ (* -1 (* a (* t z))) (* a (* x y))) |
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z)))) |
(/ (+ (/ a t) (/ (* a (* x y)) (* (pow t 2) z))) z) |
(/ (- (+ (/ a t) (/ (* a (* (pow x 2) (pow y 2))) (* (pow t 3) (pow z 2)))) (* -1 (/ (* a (* x y)) (* (pow t 2) z)))) z) |
(/ (- (+ (/ a t) (/ (* a (* (pow x 3) (pow y 3))) (* (pow t 4) (pow z 3)))) (+ (* -1 (/ (* a (* x y)) (* (pow t 2) z))) (* -1 (/ (* a (* (pow x 2) (pow y 2))) (* (pow t 3) (pow z 2)))))) z) |
(* z (+ t (* -1 (/ (* x y) z)))) |
(* z (- (/ (* a (* x y)) z) (* a t))) |
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a)))) |
(* -1 (/ (+ (* -1 (/ a t)) (* -1 (/ (* a (* x y)) (* (pow t 2) z)))) z)) |
(* -1 (/ (+ (* -1 (/ a t)) (* -1 (/ (- (/ (* a (* (pow x 2) (pow y 2))) (* (pow t 3) z)) (* -1 (/ (* a (* x y)) (pow t 2)))) z))) z)) |
(* -1 (/ (+ (* -1 (/ a t)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (* (pow x 3) (pow y 3))) (* (pow t 4) z))) (/ (* a (* (pow x 2) (pow y 2))) (pow t 3))) z)) (* -1 (/ (* a (* x y)) (pow t 2)))) z))) z)) |
(* -1 (* z (+ (* -1 t) (/ (* x y) z)))) |
(* -1 (* z (- (* -1 (/ (* a (* x y)) z)) (* -1 (* a t))))) |
(+ (* -1 (/ a (* x y))) (* t (- (* -1 (/ (* a (* t (pow z 2))) (* (pow x 3) (pow y 3)))) (/ (* a z) (* (pow x 2) (pow y 2)))))) |
(+ (* -1 (/ a (* x y))) (* t (- (* t (- (* -1 (/ (* a (* t (pow z 3))) (* (pow x 4) (pow y 4)))) (/ (* a (pow z 2)) (* (pow x 3) (pow y 3))))) (/ (* a z) (* (pow x 2) (pow y 2)))))) |
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t)))) |
(/ (+ (/ a z) (/ (* a (* x y)) (* t (pow z 2)))) t) |
(/ (- (+ (/ a z) (/ (* a (* (pow x 2) (pow y 2))) (* (pow t 2) (pow z 3)))) (* -1 (/ (* a (* x y)) (* t (pow z 2))))) t) |
(/ (- (+ (/ a z) (/ (* a (* (pow x 3) (pow y 3))) (* (pow t 3) (pow z 4)))) (+ (* -1 (/ (* a (* x y)) (* t (pow z 2)))) (* -1 (/ (* a (* (pow x 2) (pow y 2))) (* (pow t 2) (pow z 3)))))) t) |
(* t (+ z (* -1 (/ (* x y) t)))) |
(* t (- (/ (* a (* x y)) t) (* a z))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a)))) |
(* -1 (/ (+ (* -1 (/ a z)) (* -1 (/ (* a (* x y)) (* t (pow z 2))))) t)) |
(* -1 (/ (+ (* -1 (/ a z)) (* -1 (/ (- (/ (* a (* (pow x 2) (pow y 2))) (* t (pow z 3))) (* -1 (/ (* a (* x y)) (pow z 2)))) t))) t)) |
(* -1 (/ (+ (* -1 (/ a z)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (* (pow x 3) (pow y 3))) (* t (pow z 4)))) (/ (* a (* (pow x 2) (pow y 2))) (pow z 3))) t)) (* -1 (/ (* a (* x y)) (pow z 2)))) t))) t)) |
(* -1 (* t (+ (* -1 z) (/ (* x y) t)))) |
(* -1 (* t (- (* -1 (/ (* a (* x y)) t)) (* -1 (* a z))))) |
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a)) |
(/ a (+ (* -1 (* x y)) (* t z))) |
(/ (- (* x y) (* t z)) a) |
(/ -1 a) |
(* a (- (* x y) (* t z))) |
(* -1 a) |
(* -1 (/ (- (* -1 (* x y)) (* -1 (* t z))) a)) |
(* -1 (* a (- (* -1 (* x y)) (* -1 (* t z))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | 0 | ((/ -1 (/ a (+ (* (neg y) x) (* t z)))) (/ a (+ (* (neg y) x) (* t z))) (+ (* (neg y) x) (* t z)) (neg y) (/ (- (* x y) (* z t)) a) (* x (/ y a)) (/ y a) (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (* (/ (neg z) a) t) (/ (neg z) a) (neg z) (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (* z t) (/ -1 a) (/ (- (* a (* y x)) (* a (* t z))) (* a a)) (- (* a (* y x)) (* a (* t z))) (* (neg a) (* z t)) (neg a)) |
| 6.0ms | z | @ | inf | ((/ -1 (/ a (+ (* (neg y) x) (* t z)))) (/ a (+ (* (neg y) x) (* t z))) (+ (* (neg y) x) (* t z)) (neg y) (/ (- (* x y) (* z t)) a) (* x (/ y a)) (/ y a) (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (* (/ (neg z) a) t) (/ (neg z) a) (neg z) (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (* z t) (/ -1 a) (/ (- (* a (* y x)) (* a (* t z))) (* a a)) (- (* a (* y x)) (* a (* t z))) (* (neg a) (* z t)) (neg a)) |
| 6.0ms | a | @ | inf | ((/ -1 (/ a (+ (* (neg y) x) (* t z)))) (/ a (+ (* (neg y) x) (* t z))) (+ (* (neg y) x) (* t z)) (neg y) (/ (- (* x y) (* z t)) a) (* x (/ y a)) (/ y a) (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (* (/ (neg z) a) t) (/ (neg z) a) (neg z) (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (* z t) (/ -1 a) (/ (- (* a (* y x)) (* a (* t z))) (* a a)) (- (* a (* y x)) (* a (* t z))) (* (neg a) (* z t)) (neg a)) |
| 4.0ms | a | @ | -inf | ((/ -1 (/ a (+ (* (neg y) x) (* t z)))) (/ a (+ (* (neg y) x) (* t z))) (+ (* (neg y) x) (* t z)) (neg y) (/ (- (* x y) (* z t)) a) (* x (/ y a)) (/ y a) (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (* (/ (neg z) a) t) (/ (neg z) a) (neg z) (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (* z t) (/ -1 a) (/ (- (* a (* y x)) (* a (* t z))) (* a a)) (- (* a (* y x)) (* a (* t z))) (* (neg a) (* z t)) (neg a)) |
| 4.0ms | a | @ | 0 | ((/ -1 (/ a (+ (* (neg y) x) (* t z)))) (/ a (+ (* (neg y) x) (* t z))) (+ (* (neg y) x) (* t z)) (neg y) (/ (- (* x y) (* z t)) a) (* x (/ y a)) (/ y a) (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (* (/ (neg z) a) t) (/ (neg z) a) (neg z) (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (+ (* (neg y) x) (* t z)) (* z t) (/ -1 a) (/ (- (* a (* y x)) (* a (* t z))) (* a a)) (- (* a (* y x)) (* a (* t z))) (* (neg a) (* z t)) (neg a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 420 | 1721 |
| 1 | 1522 | 1629 |
| 2 | 6085 | 1557 |
| 0 | 8182 | 1503 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* t z) a)) |
(+ (* -1 (/ (* t z) a)) (/ (* x y) a)) |
(/ a (* t z)) |
(+ (/ a (* t z)) (/ (* a (* x y)) (* (pow t 2) (pow z 2)))) |
(+ (* x (- (/ (* a (* x (pow y 2))) (* (pow t 3) (pow z 3))) (* -1 (/ (* a y) (* (pow t 2) (pow z 2)))))) (/ a (* t z))) |
(+ (* x (- (* x (- (/ (* a (* x (pow y 3))) (* (pow t 4) (pow z 4))) (* -1 (/ (* a (pow y 2)) (* (pow t 3) (pow z 3)))))) (* -1 (/ (* a y) (* (pow t 2) (pow z 2)))))) (/ a (* t z))) |
(* t z) |
(+ (* -1 (* x y)) (* t z)) |
(/ (* x y) a) |
(* -1 (* a (* t z))) |
(- (* a (* x y)) (* a (* t z))) |
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a))) |
(* -1 (/ a (* x y))) |
(/ (+ (* -1 (/ a y)) (* -1 (/ (* a (* t z)) (* x (pow y 2))))) x) |
(/ (- (+ (* -1 (/ a y)) (* -1 (/ (* a (* (pow t 2) (pow z 2))) (* (pow x 2) (pow y 3))))) (/ (* a (* t z)) (* x (pow y 2)))) x) |
(/ (- (+ (* -1 (/ a y)) (* -1 (/ (* a (* (pow t 3) (pow z 3))) (* (pow x 3) (pow y 4))))) (+ (/ (* a (* t z)) (* x (pow y 2))) (/ (* a (* (pow t 2) (pow z 2))) (* (pow x 2) (pow y 3))))) x) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* t z) x))) |
(* a (* x y)) |
(* x (+ (* -1 (/ (* a (* t z)) x)) (* a y))) |
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) |
(* -1 (/ (+ (/ a y) (/ (* a (* t z)) (* x (pow y 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* a (* (pow t 2) (pow z 2))) (* x (pow y 3)))) (/ (* a (* t z)) (pow y 2))) x)) (/ a y)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* a (* (pow t 3) (pow z 3))) (* x (pow y 4))) (* -1 (/ (* a (* (pow t 2) (pow z 2))) (pow y 3)))) x)) (/ (* a (* t z)) (pow y 2))) x)) (/ a y)) x)) |
(* -1 (* x (+ y (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ (* -1 (* a y)) (/ (* a (* t z)) x)))) |
(+ (* y (- (/ (* a (* (pow x 2) y)) (* (pow t 3) (pow z 3))) (* -1 (/ (* a x) (* (pow t 2) (pow z 2)))))) (/ a (* t z))) |
(+ (* y (- (* y (- (/ (* a (* (pow x 3) y)) (* (pow t 4) (pow z 4))) (* -1 (/ (* a (pow x 2)) (* (pow t 3) (pow z 3)))))) (* -1 (/ (* a x) (* (pow t 2) (pow z 2)))))) (/ a (* t z))) |
(* -1 y) |
(/ y a) |
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a))) |
(/ (+ (* -1 (/ a x)) (* -1 (/ (* a (* t z)) (* (pow x 2) y)))) y) |
(/ (- (+ (* -1 (/ a x)) (* -1 (/ (* a (* (pow t 2) (pow z 2))) (* (pow x 3) (pow y 2))))) (/ (* a (* t z)) (* (pow x 2) y))) y) |
(/ (- (+ (* -1 (/ a x)) (* -1 (/ (* a (* (pow t 3) (pow z 3))) (* (pow x 4) (pow y 3))))) (+ (/ (* a (* t z)) (* (pow x 2) y)) (/ (* a (* (pow t 2) (pow z 2))) (* (pow x 3) (pow y 2))))) y) |
(* y (+ (* -1 x) (/ (* t z) y))) |
(* y (+ (* -1 (/ (* a (* t z)) y)) (* a x))) |
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y))))) |
(* -1 (/ (+ (/ a x) (/ (* a (* t z)) (* (pow x 2) y))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* a (* (pow t 2) (pow z 2))) (* (pow x 3) y))) (/ (* a (* t z)) (pow x 2))) y)) (/ a x)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* a (* (pow t 3) (pow z 3))) (* (pow x 4) y)) (* -1 (/ (* a (* (pow t 2) (pow z 2))) (pow x 3)))) y)) (/ (* a (* t z)) (pow x 2))) y)) (/ a x)) y)) |
(* -1 (* y (+ x (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 (* a x)) (/ (* a (* t z)) y)))) |
(+ (* -1 (/ a (* x y))) (* -1 (/ (* a (* t z)) (* (pow x 2) (pow y 2))))) |
(+ (* -1 (/ a (* x y))) (* z (- (* -1 (/ (* a (* (pow t 2) z)) (* (pow x 3) (pow y 3)))) (/ (* a t) (* (pow x 2) (pow y 2)))))) |
(+ (* -1 (/ a (* x y))) (* z (- (* z (- (* -1 (/ (* a (* (pow t 3) z)) (* (pow x 4) (pow y 4)))) (/ (* a (pow t 2)) (* (pow x 3) (pow y 3))))) (/ (* a t) (* (pow x 2) (pow y 2)))))) |
(* -1 (/ z a)) |
(* -1 z) |
(+ (* -1 (* a (* t z))) (* a (* x y))) |
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z)))) |
(/ (+ (/ a t) (/ (* a (* x y)) (* (pow t 2) z))) z) |
(/ (- (+ (/ a t) (/ (* a (* (pow x 2) (pow y 2))) (* (pow t 3) (pow z 2)))) (* -1 (/ (* a (* x y)) (* (pow t 2) z)))) z) |
(/ (- (+ (/ a t) (/ (* a (* (pow x 3) (pow y 3))) (* (pow t 4) (pow z 3)))) (+ (* -1 (/ (* a (* x y)) (* (pow t 2) z))) (* -1 (/ (* a (* (pow x 2) (pow y 2))) (* (pow t 3) (pow z 2)))))) z) |
(* z (+ t (* -1 (/ (* x y) z)))) |
(* z (- (/ (* a (* x y)) z) (* a t))) |
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a)))) |
(* -1 (/ (+ (* -1 (/ a t)) (* -1 (/ (* a (* x y)) (* (pow t 2) z)))) z)) |
(* -1 (/ (+ (* -1 (/ a t)) (* -1 (/ (- (/ (* a (* (pow x 2) (pow y 2))) (* (pow t 3) z)) (* -1 (/ (* a (* x y)) (pow t 2)))) z))) z)) |
(* -1 (/ (+ (* -1 (/ a t)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (* (pow x 3) (pow y 3))) (* (pow t 4) z))) (/ (* a (* (pow x 2) (pow y 2))) (pow t 3))) z)) (* -1 (/ (* a (* x y)) (pow t 2)))) z))) z)) |
(* -1 (* z (+ (* -1 t) (/ (* x y) z)))) |
(* -1 (* z (- (* -1 (/ (* a (* x y)) z)) (* -1 (* a t))))) |
(+ (* -1 (/ a (* x y))) (* t (- (* -1 (/ (* a (* t (pow z 2))) (* (pow x 3) (pow y 3)))) (/ (* a z) (* (pow x 2) (pow y 2)))))) |
(+ (* -1 (/ a (* x y))) (* t (- (* t (- (* -1 (/ (* a (* t (pow z 3))) (* (pow x 4) (pow y 4)))) (/ (* a (pow z 2)) (* (pow x 3) (pow y 3))))) (/ (* a z) (* (pow x 2) (pow y 2)))))) |
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t)))) |
(/ (+ (/ a z) (/ (* a (* x y)) (* t (pow z 2)))) t) |
(/ (- (+ (/ a z) (/ (* a (* (pow x 2) (pow y 2))) (* (pow t 2) (pow z 3)))) (* -1 (/ (* a (* x y)) (* t (pow z 2))))) t) |
(/ (- (+ (/ a z) (/ (* a (* (pow x 3) (pow y 3))) (* (pow t 3) (pow z 4)))) (+ (* -1 (/ (* a (* x y)) (* t (pow z 2)))) (* -1 (/ (* a (* (pow x 2) (pow y 2))) (* (pow t 2) (pow z 3)))))) t) |
(* t (+ z (* -1 (/ (* x y) t)))) |
(* t (- (/ (* a (* x y)) t) (* a z))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a)))) |
(* -1 (/ (+ (* -1 (/ a z)) (* -1 (/ (* a (* x y)) (* t (pow z 2))))) t)) |
(* -1 (/ (+ (* -1 (/ a z)) (* -1 (/ (- (/ (* a (* (pow x 2) (pow y 2))) (* t (pow z 3))) (* -1 (/ (* a (* x y)) (pow z 2)))) t))) t)) |
(* -1 (/ (+ (* -1 (/ a z)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (* (pow x 3) (pow y 3))) (* t (pow z 4)))) (/ (* a (* (pow x 2) (pow y 2))) (pow z 3))) t)) (* -1 (/ (* a (* x y)) (pow z 2)))) t))) t)) |
(* -1 (* t (+ (* -1 z) (/ (* x y) t)))) |
(* -1 (* t (- (* -1 (/ (* a (* x y)) t)) (* -1 (* a z))))) |
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a)) |
(/ a (+ (* -1 (* x y)) (* t z))) |
(/ (- (* x y) (* t z)) a) |
(/ -1 a) |
(* a (- (* x y) (* t z))) |
(* -1 a) |
(* -1 (/ (- (* -1 (* x y)) (* -1 (* t z))) a)) |
(* -1 (* a (- (* -1 (* x y)) (* -1 (* t z))))) |
| Outputs |
|---|
(* -1 (/ (* t z) a)) |
(*.f64 (neg.f64 t) (/.f64 z a)) |
(+ (* -1 (/ (* t z) a)) (/ (* x y) a)) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(/ a (* t z)) |
(/.f64 a (*.f64 z t)) |
(+ (/ a (* t z)) (/ (* a (* x y)) (* (pow t 2) (pow z 2)))) |
(fma.f64 (/.f64 a (*.f64 z z)) (/.f64 (/.f64 (*.f64 x y) t) t) (/.f64 a (*.f64 z t))) |
(+ (* x (- (/ (* a (* x (pow y 2))) (* (pow t 3) (pow z 3))) (* -1 (/ (* a y) (* (pow t 2) (pow z 2)))))) (/ a (* t z))) |
(fma.f64 (*.f64 a (fma.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 (*.f64 y y) (pow.f64 t #s(literal 3 binary64))) (/.f64 (/.f64 y (*.f64 t t)) (*.f64 z z)))) x (/.f64 a (*.f64 z t))) |
(+ (* x (- (* x (- (/ (* a (* x (pow y 3))) (* (pow t 4) (pow z 4))) (* -1 (/ (* a (pow y 2)) (* (pow t 3) (pow z 3)))))) (* -1 (/ (* a y) (* (pow t 2) (pow z 2)))))) (/ a (* t z))) |
(fma.f64 (fma.f64 (*.f64 a (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (pow.f64 t #s(literal 4 binary64))))) x (*.f64 (/.f64 a (*.f64 z z)) (/.f64 y (*.f64 t t)))) x (/.f64 a (*.f64 z t))) |
(* t z) |
(*.f64 z t) |
(+ (* -1 (* x y)) (* t z)) |
(fma.f64 (neg.f64 x) y (*.f64 z t)) |
(/ (* x y) a) |
(/.f64 (*.f64 x y) a) |
(* -1 (* a (* t z))) |
(*.f64 (*.f64 (neg.f64 t) z) a) |
(- (* a (* x y)) (* a (* t z))) |
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 t) x) (/.f64 z a) (/.f64 y a)) x) |
(* -1 (/ a (* x y))) |
(/.f64 (neg.f64 a) (*.f64 x y)) |
(/ (+ (* -1 (/ a y)) (* -1 (/ (* a (* t z)) (* x (pow y 2))))) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 t a) x) (/.f64 z (*.f64 y y)) (/.f64 a y)) (neg.f64 x)) |
(/ (- (+ (* -1 (/ a y)) (* -1 (/ (* a (* (pow t 2) (pow z 2))) (* (pow x 2) (pow y 3))))) (/ (* a (* t z)) (* x (pow y 2)))) x) |
(/.f64 (+.f64 (/.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 t t) x) (*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (/.f64 t (*.f64 y y))))) x) (/.f64 a y)) (neg.f64 x)) |
(/ (- (+ (* -1 (/ a y)) (* -1 (/ (* a (* (pow t 3) (pow z 3))) (* (pow x 3) (pow y 4))))) (+ (/ (* a (* t z)) (* x (pow y 2))) (/ (* a (* (pow t 2) (pow z 2))) (* (pow x 2) (pow y 3))))) x) |
(/.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 t y) (/.f64 z y) (*.f64 (/.f64 (*.f64 t t) x) (*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))))) x) (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 a (pow.f64 x #s(literal 3 binary64))) (/.f64 a y))) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ (* t z) x))) |
(*.f64 (-.f64 (/.f64 (*.f64 z t) x) y) x) |
(* a (* x y)) |
(*.f64 (*.f64 x y) a) |
(* x (+ (* -1 (/ (* a (* t z)) x)) (* a y))) |
(*.f64 (*.f64 a (-.f64 y (/.f64 (*.f64 z t) x))) x) |
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 t) x) (/.f64 z a) (/.f64 y a)) x) |
(* -1 (/ (+ (/ a y) (/ (* a (* t z)) (* x (pow y 2)))) x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 t a) x) (/.f64 z (*.f64 y y)) (/.f64 a y)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* a (* (pow t 2) (pow z 2))) (* x (pow y 3)))) (/ (* a (* t z)) (pow y 2))) x)) (/ a y)) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 a (fma.f64 (/.f64 (*.f64 t t) x) (*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (/.f64 t (*.f64 y y))))) x) (/.f64 a y)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* a (* (pow t 3) (pow z 3))) (* x (pow y 4))) (* -1 (/ (* a (* (pow t 2) (pow z 2))) (pow y 3)))) x)) (/ (* a (* t z)) (pow y 2))) x)) (/ a y)) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 a (fma.f64 (*.f64 z z) (*.f64 t (/.f64 t (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)))) x) (*.f64 (/.f64 (*.f64 t a) y) (/.f64 z y))) x) (/.f64 a y)) (neg.f64 x)) |
(* -1 (* x (+ y (* -1 (/ (* t z) x))))) |
(*.f64 (-.f64 (/.f64 (*.f64 z t) x) y) x) |
(* -1 (* x (+ (* -1 (* a y)) (/ (* a (* t z)) x)))) |
(*.f64 (*.f64 a (-.f64 y (/.f64 (*.f64 z t) x))) x) |
(+ (* y (- (/ (* a (* (pow x 2) y)) (* (pow t 3) (pow z 3))) (* -1 (/ (* a x) (* (pow t 2) (pow z 2)))))) (/ a (* t z))) |
(fma.f64 (*.f64 a (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (*.f64 x (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 x (*.f64 t t)) (*.f64 z z)))) y (/.f64 a (*.f64 z t))) |
(+ (* y (- (* y (- (/ (* a (* (pow x 3) y)) (* (pow t 4) (pow z 4))) (* -1 (/ (* a (pow x 2)) (* (pow t 3) (pow z 3)))))) (* -1 (/ (* a x) (* (pow t 2) (pow z 2)))))) (/ a (* t z))) |
(fma.f64 (fma.f64 (*.f64 a (fma.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 x (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (pow.f64 t #s(literal 4 binary64))))) y (*.f64 (/.f64 a (*.f64 z z)) (/.f64 x (*.f64 t t)))) y (/.f64 a (*.f64 z t))) |
(* -1 y) |
(neg.f64 y) |
(/ y a) |
(/.f64 y a) |
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 t) y) (/.f64 z a) (/.f64 x a)) y) |
(/ (+ (* -1 (/ a x)) (* -1 (/ (* a (* t z)) (* (pow x 2) y)))) y) |
(/.f64 (fma.f64 (/.f64 (*.f64 t a) x) (/.f64 z (*.f64 y y)) (/.f64 a y)) (neg.f64 x)) |
(/ (- (+ (* -1 (/ a x)) (* -1 (/ (* a (* (pow t 2) (pow z 2))) (* (pow x 3) (pow y 2))))) (/ (* a (* t z)) (* (pow x 2) y))) y) |
(/.f64 (fma.f64 (/.f64 a y) (fma.f64 (/.f64 t x) (/.f64 z x) (/.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 t t) y)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 a x)) (neg.f64 y)) |
(/ (- (+ (* -1 (/ a x)) (* -1 (/ (* a (* (pow t 3) (pow z 3))) (* (pow x 4) (pow y 3))))) (+ (/ (* a (* t z)) (* (pow x 2) y)) (/ (* a (* (pow t 2) (pow z 2))) (* (pow x 3) (pow y 2))))) y) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a y) (fma.f64 (/.f64 t x) (/.f64 z x) (/.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 t t) y)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 a (pow.f64 x #s(literal 4 binary64))) (/.f64 a x)))) y) |
(* y (+ (* -1 x) (/ (* t z) y))) |
(*.f64 (-.f64 (/.f64 (*.f64 z t) y) x) y) |
(* y (+ (* -1 (/ (* a (* t z)) y)) (* a x))) |
(*.f64 (*.f64 a (-.f64 x (/.f64 (*.f64 z t) y))) y) |
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y))))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 t) y) (/.f64 z a) (/.f64 x a)) y) |
(* -1 (/ (+ (/ a x) (/ (* a (* t z)) (* (pow x 2) y))) y)) |
(/.f64 (fma.f64 (/.f64 (*.f64 t a) x) (/.f64 z (*.f64 y y)) (/.f64 a y)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* a (* (pow t 2) (pow z 2))) (* (pow x 3) y))) (/ (* a (* t z)) (pow x 2))) y)) (/ a x)) y)) |
(/.f64 (fma.f64 (/.f64 a y) (fma.f64 (/.f64 t x) (/.f64 z x) (/.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 t t) y)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 a x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* a (* (pow t 3) (pow z 3))) (* (pow x 4) y)) (* -1 (/ (* a (* (pow t 2) (pow z 2))) (pow x 3)))) y)) (/ (* a (* t z)) (pow x 2))) y)) (/ a x)) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 a (fma.f64 (*.f64 z z) (/.f64 (*.f64 t t) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 t #s(literal 3 binary64)) y)) (pow.f64 x #s(literal 4 binary64))))) y) (/.f64 (*.f64 (/.f64 (*.f64 z t) x) a) x)) y) (/.f64 a x)) (neg.f64 y)) |
(* -1 (* y (+ x (* -1 (/ (* t z) y))))) |
(*.f64 (-.f64 (/.f64 (*.f64 z t) y) x) y) |
(* -1 (* y (+ (* -1 (* a x)) (/ (* a (* t z)) y)))) |
(*.f64 (*.f64 a (-.f64 x (/.f64 (*.f64 z t) y))) y) |
(+ (* -1 (/ a (* x y))) (* -1 (/ (* a (* t z)) (* (pow x 2) (pow y 2))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 t a) x) (/.f64 z (*.f64 y y)) (/.f64 a y)) (neg.f64 x)) |
(+ (* -1 (/ a (* x y))) (* z (- (* -1 (/ (* a (* (pow t 2) z)) (* (pow x 3) (pow y 3)))) (/ (* a t) (* (pow x 2) (pow y 2)))))) |
(fma.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 t t) (pow.f64 x #s(literal 3 binary64))) (/.f64 t (*.f64 (*.f64 (*.f64 x x) y) y)))) z (/.f64 (neg.f64 a) (*.f64 x y))) |
(+ (* -1 (/ a (* x y))) (* z (- (* z (- (* -1 (/ (* a (* (pow t 3) z)) (* (pow x 4) (pow y 4)))) (/ (* a (pow t 2)) (* (pow x 3) (pow y 3))))) (/ (* a t) (* (pow x 2) (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 t (pow.f64 x #s(literal 3 binary64))) (/.f64 t (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))) z (*.f64 (neg.f64 a) (/.f64 t (*.f64 (*.f64 (*.f64 x x) y) y)))) z (/.f64 (neg.f64 a) (*.f64 x y))) |
(* -1 (/ z a)) |
(/.f64 (neg.f64 z) a) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 (* a (* t z))) (* a (* x y))) |
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z)))) |
(*.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z) |
(/ (+ (/ a t) (/ (* a (* x y)) (* (pow t 2) z))) z) |
(/.f64 (fma.f64 (/.f64 (*.f64 x a) t) (/.f64 y (*.f64 z z)) (/.f64 a z)) t) |
(/ (- (+ (/ a t) (/ (* a (* (pow x 2) (pow y 2))) (* (pow t 3) (pow z 2)))) (* -1 (/ (* a (* x y)) (* (pow t 2) z)))) z) |
(/.f64 (fma.f64 (/.f64 a z) (fma.f64 (/.f64 x t) (/.f64 y t) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) z) (pow.f64 t #s(literal 3 binary64)))) (/.f64 a t)) z) |
(/ (- (+ (/ a t) (/ (* a (* (pow x 3) (pow y 3))) (* (pow t 4) (pow z 3)))) (+ (* -1 (/ (* a (* x y)) (* (pow t 2) z))) (* -1 (/ (* a (* (pow x 2) (pow y 2))) (* (pow t 3) (pow z 2)))))) z) |
(/.f64 (fma.f64 (/.f64 a z) (fma.f64 (/.f64 x t) (/.f64 y t) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) z) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 4 binary64))) (/.f64 a t))) z) |
(* z (+ t (* -1 (/ (* x y) z)))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) t) z) |
(* z (- (/ (* a (* x y)) z) (* a t))) |
(*.f64 (*.f64 a (-.f64 (/.f64 (*.f64 x y) z) t)) z) |
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a)))) |
(*.f64 (fma.f64 (/.f64 x z) (/.f64 y a) (/.f64 (neg.f64 t) a)) z) |
(* -1 (/ (+ (* -1 (/ a t)) (* -1 (/ (* a (* x y)) (* (pow t 2) z)))) z)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x a) t) (/.f64 y (*.f64 z z)) (/.f64 a z)) t) |
(* -1 (/ (+ (* -1 (/ a t)) (* -1 (/ (- (/ (* a (* (pow x 2) (pow y 2))) (* (pow t 3) z)) (* -1 (/ (* a (* x y)) (pow t 2)))) z))) z)) |
(/.f64 (fma.f64 (/.f64 a z) (fma.f64 (/.f64 x t) (/.f64 y t) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) z) (pow.f64 t #s(literal 3 binary64)))) (/.f64 a t)) z) |
(* -1 (/ (+ (* -1 (/ a t)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (* (pow x 3) (pow y 3))) (* (pow t 4) z))) (/ (* a (* (pow x 2) (pow y 2))) (pow t 3))) z)) (* -1 (/ (* a (* x y)) (pow t 2)))) z))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x a) t) (/.f64 y t) (/.f64 (*.f64 a (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) z) (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (pow.f64 t #s(literal 3 binary64))))) z)) z) (/.f64 a t)) z) |
(* -1 (* z (+ (* -1 t) (/ (* x y) z)))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) t) z) |
(* -1 (* z (- (* -1 (/ (* a (* x y)) z)) (* -1 (* a t))))) |
(*.f64 (*.f64 a (-.f64 (/.f64 (*.f64 x y) z) t)) z) |
(+ (* -1 (/ a (* x y))) (* t (- (* -1 (/ (* a (* t (pow z 2))) (* (pow x 3) (pow y 3)))) (/ (* a z) (* (pow x 2) (pow y 2)))))) |
(fma.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 z z) (pow.f64 x #s(literal 3 binary64))) (/.f64 t (pow.f64 y #s(literal 3 binary64))) (/.f64 z (*.f64 (*.f64 (*.f64 x x) y) y)))) t (/.f64 (neg.f64 a) (*.f64 x y))) |
(+ (* -1 (/ a (* x y))) (* t (- (* t (- (* -1 (/ (* a (* t (pow z 3))) (* (pow x 4) (pow y 4)))) (/ (* a (pow z 2)) (* (pow x 3) (pow y 3))))) (/ (* a z) (* (pow x 2) (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 t (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))) t (*.f64 (neg.f64 a) (/.f64 z (*.f64 (*.f64 (*.f64 x x) y) y)))) t (/.f64 (neg.f64 a) (*.f64 x y))) |
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t)))) |
(*.f64 (fma.f64 (/.f64 x t) (/.f64 y a) (/.f64 (neg.f64 z) a)) t) |
(/ (+ (/ a z) (/ (* a (* x y)) (* t (pow z 2)))) t) |
(/.f64 (fma.f64 (/.f64 (*.f64 x a) t) (/.f64 y (*.f64 z z)) (/.f64 a z)) t) |
(/ (- (+ (/ a z) (/ (* a (* (pow x 2) (pow y 2))) (* (pow t 2) (pow z 3)))) (* -1 (/ (* a (* x y)) (* t (pow z 2))))) t) |
(/.f64 (fma.f64 (/.f64 a t) (fma.f64 (/.f64 x z) (/.f64 y z) (*.f64 (/.f64 (*.f64 x x) t) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (/.f64 a z)) t) |
(/ (- (+ (/ a z) (/ (* a (* (pow x 3) (pow y 3))) (* (pow t 3) (pow z 4)))) (+ (* -1 (/ (* a (* x y)) (* t (pow z 2)))) (* -1 (/ (* a (* (pow x 2) (pow y 2))) (* (pow t 2) (pow z 3)))))) t) |
(/.f64 (fma.f64 (/.f64 a t) (fma.f64 (/.f64 x z) (/.f64 y z) (*.f64 (/.f64 (*.f64 x x) t) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 a z))) t) |
(* t (+ z (* -1 (/ (* x y) t)))) |
(*.f64 (-.f64 z (/.f64 (*.f64 x y) t)) t) |
(* t (- (/ (* a (* x y)) t) (* a z))) |
(*.f64 (*.f64 a (-.f64 (/.f64 (*.f64 x y) t) z)) t) |
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a)))) |
(*.f64 (fma.f64 (/.f64 x t) (/.f64 y a) (/.f64 (neg.f64 z) a)) t) |
(* -1 (/ (+ (* -1 (/ a z)) (* -1 (/ (* a (* x y)) (* t (pow z 2))))) t)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x a) t) (/.f64 y (*.f64 z z)) (/.f64 a z)) t) |
(* -1 (/ (+ (* -1 (/ a z)) (* -1 (/ (- (/ (* a (* (pow x 2) (pow y 2))) (* t (pow z 3))) (* -1 (/ (* a (* x y)) (pow z 2)))) t))) t)) |
(/.f64 (fma.f64 (/.f64 a t) (fma.f64 (/.f64 x z) (/.f64 y z) (*.f64 (/.f64 (*.f64 x x) t) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (/.f64 a z)) t) |
(* -1 (/ (+ (* -1 (/ a z)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (* (pow x 3) (pow y 3))) (* t (pow z 4)))) (/ (* a (* (pow x 2) (pow y 2))) (pow z 3))) t)) (* -1 (/ (* a (* x y)) (pow z 2)))) t))) t)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x a) z) (/.f64 y z) (/.f64 (*.f64 a (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 x x) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64))))))) t)) t) (/.f64 a z)) t) |
(* -1 (* t (+ (* -1 z) (/ (* x y) t)))) |
(*.f64 (-.f64 z (/.f64 (*.f64 x y) t)) t) |
(* -1 (* t (- (* -1 (/ (* a (* x y)) t)) (* -1 (* a z))))) |
(*.f64 (*.f64 a (-.f64 (/.f64 (*.f64 x y) t) z)) t) |
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a)) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(/ a (+ (* -1 (* x y)) (* t z))) |
(/.f64 a (fma.f64 (neg.f64 x) y (*.f64 z t))) |
(/ (- (* x y) (* t z)) a) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(* a (- (* x y) (* t z))) |
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 a) |
(neg.f64 a) |
(* -1 (/ (- (* -1 (* x y)) (* -1 (* t z))) a)) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 (* a (- (* -1 (* x y)) (* -1 (* t z))))) |
(*.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 162 |
| 0 | 60 | 158 |
| 1 | 201 | 155 |
| 2 | 1164 | 153 |
| 0 | 9057 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z)))) |
(/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z))) |
(fma.f64 (neg.f64 y) x (*.f64 t z)) |
(neg.f64 y) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
(*.f64 x (/.f64 y a)) |
(/.f64 y a) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) |
(*.f64 (/.f64 (neg.f64 z) a) t) |
(/.f64 (neg.f64 z) a) |
(neg.f64 z) |
(*.f64 #s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) (/.f64 #s(literal -1 binary64) a)) |
#s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) |
(*.f64 z t) |
(/.f64 #s(literal -1 binary64) a) |
(/.f64 #s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (neg.f64 a) (*.f64 z t))) (*.f64 a a)) |
#s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (neg.f64 a) (*.f64 z t))) |
(*.f64 (neg.f64 a) (*.f64 z t)) |
(neg.f64 a) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (pow.f64 (fma.f64 z t (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (fma.f64 (neg.f64 t) z (*.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (fma.f64 (neg.f64 t) z (*.f64 x y))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 z t (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 t) z (*.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 (fma.f64 z t (*.f64 x y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) a) (/.f64 (pow.f64 (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (fma.f64 z t (*.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z t (*.f64 x y))) a)) |
(*.f64 (/.f64 (fma.f64 z t (*.f64 x y)) a) (/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) (fma.f64 z t (*.f64 x y)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) a) (/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) (fma.f64 (*.f64 z t) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 a a) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) a) (/.f64 (pow.f64 (*.f64 a (fma.f64 z t (*.f64 x y))) #s(literal -1 binary64)) a)) |
(*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) a) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z t) a) a) (fma.f64 z t (*.f64 x y)) (pow.f64 (*.f64 (*.f64 x y) a) #s(literal 2 binary64))) #s(literal -1 binary64)) a)) |
(*.f64 (/.f64 a a) (/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)) |
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(*.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z t (*.f64 x y)) #s(literal -1 binary64))) |
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(neg.f64 (*.f64 (*.f64 z t) a)) |
(fma.f64 (*.f64 t a) #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) t) a)) |
(fma.f64 #s(literal 0 binary64) (*.f64 t a) (*.f64 (*.f64 (neg.f64 z) t) a)) |
(fma.f64 #s(literal 0 binary64) (*.f64 z t) (*.f64 (*.f64 (neg.f64 z) t) a)) |
(fma.f64 (*.f64 z t) #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) t) a)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z t) a)) |
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 t a)) (*.f64 (*.f64 (neg.f64 z) t) a)) |
(+.f64 (*.f64 (*.f64 t a) #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 z) t) a)) |
(+.f64 (*.f64 (*.f64 z t) #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 z) t) a)) |
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 z t)) (*.f64 (*.f64 (neg.f64 z) t) a)) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) t) a)) |
(*.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64)))) |
(*.f64 #s(literal 1 binary64) (neg.f64 a)) |
(*.f64 (*.f64 (neg.f64 a) a) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (neg.f64 a) #s(literal 1 binary64)) |
(*.f64 a #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) a) |
(pow.f64 (neg.f64 a) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (neg.f64 a) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 (*.f64 (neg.f64 a) a) a) |
(/.f64 (*.f64 a a) (neg.f64 a)) |
(/.f64 (neg.f64 a) #s(literal 1 binary64)) |
(/.f64 a #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) |
(neg.f64 a) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) a) |
(+.f64 #s(literal 0 binary64) (neg.f64 a)) |
Compiled 19 904 to 2 614 computations (86.9% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 857 | 1 | 858 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 858 | 11 | 869 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 94.0% | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
| ✓ | 53.7% | (/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) |
| ✓ | 93.9% | (/.f64 #s(literal -1 binary64) (/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z)))) |
| ✓ | 53.6% | (*.f64 #s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) (/.f64 #s(literal -1 binary64) a)) |
| ✓ | 51.1% | #s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
| ▶ | 48.4% | #s(approx (/ (- (* x y) (* z t)) a) (/.f64 y (/.f64 a x))) |
| ▶ | 48.9% | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) |
| ▶ | 53.2% | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) |
| ✓ | 49.3% | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
| ▶ | 53.6% | #s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (/.f64 (neg.f64 t) (/.f64 a z))) |
| ✓ | 53.4% | #s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) |
Compiled 164 to 139 computations (15.2% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 a x) | |
| cost-diff | 0 | #s(approx (/ (- (* x y) (* z t)) a) (/.f64 y (/.f64 a x))) | |
| cost-diff | 384 | (/.f64 y (/.f64 a x)) | |
| cost-diff | 0 | (/.f64 x a) | |
| cost-diff | 0 | (*.f64 (/.f64 x a) y) | |
| cost-diff | 0 | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) | |
| cost-diff | 0 | (/.f64 t a) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (/.f64 t a)) | |
| cost-diff | 0 | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) | |
| cost-diff | 0 | (/.f64 a z) | |
| cost-diff | 0 | (neg.f64 t) | |
| cost-diff | 0 | #s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (/.f64 (neg.f64 t) (/.f64 a z))) | |
| cost-diff | 384 | (/.f64 (neg.f64 t) (/.f64 a z)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 115 |
| 0 | 40 | 118 |
| 1 | 76 | 116 |
| 2 | 135 | 114 |
| 3 | 245 | 112 |
| 4 | 433 | 112 |
| 5 | 718 | 112 |
| 6 | 1352 | 112 |
| 7 | 2140 | 112 |
| 8 | 2704 | 112 |
| 9 | 2924 | 112 |
| 10 | 3093 | 112 |
| 11 | 3200 | 112 |
| 12 | 3203 | 112 |
| 13 | 3207 | 112 |
| 0 | 3207 | 112 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (/.f64 (neg.f64 t) (/.f64 a z))) |
(/.f64 (neg.f64 t) (/.f64 a z)) |
(neg.f64 t) |
t |
(/.f64 a z) |
a |
z |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) |
(*.f64 (neg.f64 z) (/.f64 t a)) |
(neg.f64 z) |
z |
(/.f64 t a) |
t |
a |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) |
(*.f64 (/.f64 x a) y) |
(/.f64 x a) |
x |
a |
y |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 y (/.f64 a x))) |
(/.f64 y (/.f64 a x)) |
y |
(/.f64 a x) |
a |
x |
| Outputs |
|---|
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (/.f64 (neg.f64 t) (/.f64 a z))) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) |
(/.f64 (neg.f64 t) (/.f64 a z)) |
(*.f64 (/.f64 (neg.f64 z) a) t) |
(neg.f64 t) |
t |
(/.f64 a z) |
a |
z |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) |
(*.f64 (neg.f64 z) (/.f64 t a)) |
(*.f64 (/.f64 (neg.f64 z) a) t) |
(neg.f64 z) |
z |
(/.f64 t a) |
t |
a |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (/.f64 (*.f64 x y) a)) |
(*.f64 (/.f64 x a) y) |
(/.f64 (*.f64 x y) a) |
(/.f64 x a) |
x |
a |
y |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 y (/.f64 a x))) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (/.f64 (*.f64 x y) a)) |
(/.f64 y (/.f64 a x)) |
(/.f64 (*.f64 x y) a) |
y |
(/.f64 a x) |
a |
x |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 a x) | |
| accuracy | 5.8928811289512755 | (/.f64 y (/.f64 a x)) | |
| accuracy | 30.04239673507117 | #s(approx (/ (- (* x y) (* z t)) a) (/.f64 y (/.f64 a x))) | |
| accuracy | 0.0 | (/.f64 x a) | |
| accuracy | 5.906533526705036 | (*.f64 (/.f64 x a) y) | |
| accuracy | 30.04239673507117 | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) | |
| accuracy | 0.0 | (/.f64 t a) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 5.238028579318444 | (*.f64 (neg.f64 z) (/.f64 t a)) | |
| accuracy | 27.58087325075286 | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) | |
| accuracy | 0.0 | (/.f64 a z) | |
| accuracy | 0.0 | (neg.f64 t) | |
| accuracy | 5.456158331989442 | (/.f64 (neg.f64 t) (/.f64 a z)) | |
| accuracy | 27.58087325075286 | #s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (/.f64 (neg.f64 t) (/.f64 a z))) |
| 49.0ms | 256× | 0 | valid |
Compiled 206 to 58 computations (71.8% saved)
ival-div: 14.0ms (44.7% of total)ival-mult: 12.0ms (38.3% of total)ival-neg: 3.0ms (9.6% of total)ival-sub: 1.0ms (3.2% of total)ival-add: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (neg.f64 t) (/.f64 a z)) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (/.f64 (neg.f64 t) (/.f64 a z))) |
(neg.f64 t) |
(/.f64 a z) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) |
(*.f64 (neg.f64 z) (/.f64 t a)) |
(neg.f64 z) |
(/.f64 t a) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) |
(*.f64 (/.f64 x a) y) |
(/.f64 x a) |
(/.f64 y (/.f64 a x)) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 y (/.f64 a x))) |
(/.f64 a x) |
| Outputs |
|---|
(* -1 (/ (* t z) a)) |
(+ (* -1 (/ (* t z) a)) (/ (* x y) a)) |
(/ (* x y) a) |
(/ x a) |
(/ a x) |
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a))) |
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) |
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a))) |
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y))))) |
(/ a z) |
(* -1 z) |
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z)))) |
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a)))) |
(* -1 t) |
(/ t a) |
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t)))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a)))) |
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a)) |
(/ (- (* x y) (* t z)) a) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | -inf | ((/ (neg t) (/ a z)) (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (neg t) (/ a z) (/ (- (* x y) (* z t)) a) (* (neg z) (/ t a)) (neg z) (/ t a) (/ (- (* x y) (* z t)) a) (* (/ x a) y) (/ x a) (/ y (/ a x)) (/ (- (* x y) (* z t)) a) (/ a x)) |
| 2.0ms | y | @ | inf | ((/ (neg t) (/ a z)) (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (neg t) (/ a z) (/ (- (* x y) (* z t)) a) (* (neg z) (/ t a)) (neg z) (/ t a) (/ (- (* x y) (* z t)) a) (* (/ x a) y) (/ x a) (/ y (/ a x)) (/ (- (* x y) (* z t)) a) (/ a x)) |
| 2.0ms | a | @ | inf | ((/ (neg t) (/ a z)) (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (neg t) (/ a z) (/ (- (* x y) (* z t)) a) (* (neg z) (/ t a)) (neg z) (/ t a) (/ (- (* x y) (* z t)) a) (* (/ x a) y) (/ x a) (/ y (/ a x)) (/ (- (* x y) (* z t)) a) (/ a x)) |
| 2.0ms | a | @ | 0 | ((/ (neg t) (/ a z)) (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (neg t) (/ a z) (/ (- (* x y) (* z t)) a) (* (neg z) (/ t a)) (neg z) (/ t a) (/ (- (* x y) (* z t)) a) (* (/ x a) y) (/ x a) (/ y (/ a x)) (/ (- (* x y) (* z t)) a) (/ a x)) |
| 1.0ms | x | @ | -inf | ((/ (neg t) (/ a z)) (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (neg t) (/ a z) (/ (- (* x y) (* z t)) a) (* (neg z) (/ t a)) (neg z) (/ t a) (/ (- (* x y) (* z t)) a) (* (/ x a) y) (/ x a) (/ y (/ a x)) (/ (- (* x y) (* z t)) a) (/ a x)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 159 |
| 1 | 214 | 126 |
| 2 | 756 | 126 |
| 3 | 2479 | 126 |
| 4 | 5678 | 126 |
| 0 | 8296 | 126 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* t z) a)) |
(+ (* -1 (/ (* t z) a)) (/ (* x y) a)) |
(/ (* x y) a) |
(/ x a) |
(/ a x) |
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a))) |
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) |
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a))) |
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y))))) |
(/ a z) |
(* -1 z) |
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z)))) |
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a)))) |
(* -1 t) |
(/ t a) |
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t)))) |
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a)))) |
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a)) |
(/ (- (* x y) (* t z)) a) |
| Outputs |
|---|
(* -1 (/ (* t z) a)) |
(*.f64 (/.f64 (neg.f64 z) a) t) |
(+ (* -1 (/ (* t z) a)) (/ (* x y) a)) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(/ (* x y) a) |
(/.f64 (*.f64 x y) a) |
(/ x a) |
(/.f64 x a) |
(/ a x) |
(/.f64 a x) |
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x))))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y))))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(/ a z) |
(/.f64 a z) |
(* -1 z) |
(neg.f64 z) |
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z)))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a)))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 t) |
(neg.f64 t) |
(/ t a) |
(/.f64 t a) |
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t)))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a)))) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(* -1 (/ (+ (* -1 (* x y)) (* t z)) a)) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
(/ (- (* x y) (* t z)) a) |
(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 103 |
| 0 | 40 | 106 |
| 1 | 147 | 102 |
| 2 | 929 | 100 |
| 0 | 9098 | 100 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (neg.f64 t) (/.f64 a z)) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (/.f64 (neg.f64 t) (/.f64 a z))) |
(neg.f64 t) |
(/.f64 a z) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) |
(*.f64 (neg.f64 z) (/.f64 t a)) |
(neg.f64 z) |
(/.f64 t a) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) |
(*.f64 (/.f64 x a) y) |
(/.f64 x a) |
(/.f64 y (/.f64 a x)) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 y (/.f64 a x))) |
(/.f64 a x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 a) z) t) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (neg.f64 a) z) t) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))) (/.f64 t a)) |
(*.f64 (/.f64 (neg.f64 t) (pow.f64 z #s(literal -1 binary64))) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) t) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 z t) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 (neg.f64 z) a) t) |
(*.f64 (/.f64 (neg.f64 t) a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 (neg.f64 t) a) z) |
(*.f64 (*.f64 (neg.f64 z) t) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 z) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 t (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 t) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) t) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (neg.f64 z) t)) |
(*.f64 (/.f64 z a) (/.f64 #s(literal -1 binary64) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (/.f64 z a) (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 z a) (neg.f64 t)) |
(*.f64 (*.f64 (/.f64 t a) z) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 z) a) t)) |
(*.f64 (/.f64 t a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 t a) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 t a) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 t a)) |
(*.f64 (*.f64 z t) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 z (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 z t)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 t a) z)) |
(*.f64 z (/.f64 (neg.f64 t) a)) |
(*.f64 (neg.f64 t) (/.f64 z a)) |
(*.f64 t (/.f64 (neg.f64 z) a)) |
(pow.f64 (/.f64 (/.f64 (neg.f64 a) z) t) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 t a) z) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 t a) z))) |
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(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) a)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x a) y)) |
(*.f64 (/.f64 x a) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x a) y) |
(*.f64 (*.f64 x y) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 y (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 x (neg.f64 y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 (neg.f64 a) x))) |
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 x (*.f64 (pow.f64 a #s(literal -1 binary64)) y)) |
(*.f64 x (/.f64 y a)) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) a)) |
(*.f64 y (/.f64 x a)) |
(pow.f64 (/.f64 (/.f64 a x) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (/.f64 a x) y) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (neg.f64 a) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (/.f64 (neg.f64 a) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (/.f64 a x) y) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (neg.f64 a) x)))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (/.f64 (neg.f64 a) x))) |
(/.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (neg.f64 a) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) x)) (*.f64 (/.f64 (neg.f64 a) x) y)) (*.f64 (/.f64 (neg.f64 a) x) (/.f64 (neg.f64 a) x))) |
(/.f64 (/.f64 (neg.f64 y) a) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 y a) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a x) y)) |
(/.f64 (*.f64 x y) a) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 a) x) y)) |
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 a)) |
(/.f64 x (/.f64 a y)) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 a) x)) |
(/.f64 y (/.f64 a x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a x) y))) |
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) a)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) a) x)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (neg.f64 a) x)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 x y))) |
(neg.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) a))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) a) y)) |
(neg.f64 (*.f64 (*.f64 x (neg.f64 y)) (pow.f64 a #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))) |
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 a))) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 a) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) (neg.f64 a))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (neg.f64 a) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a x) y)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 x a) y)) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 x a) y)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) a) |
(*.f64 (pow.f64 (/.f64 x a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x a) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 a)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) a) |
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 a x)) |
(*.f64 (/.f64 a x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) x)) |
(*.f64 a (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 a x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x a) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(/.f64 (/.f64 (neg.f64 a) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 a) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x a)) |
(/.f64 (/.f64 a x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) a)) |
(/.f64 a x) |
(neg.f64 (/.f64 (/.f64 (neg.f64 a) x) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 a) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 a) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x a)) #s(literal -1 binary64))) |
Compiled 7 127 to 1 136 computations (84.1% saved)
11 alts after pruning (0 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 333 | 0 | 333 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 7 | 7 |
| Total | 333 | 11 | 344 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 94.0% | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
| ✓ | 53.7% | (/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) |
| ✓ | 93.9% | (/.f64 #s(literal -1 binary64) (/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z)))) |
| ✓ | 53.6% | (*.f64 #s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) (/.f64 #s(literal -1 binary64) a)) |
| ✓ | 51.1% | #s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
| ✓ | 48.4% | #s(approx (/ (- (* x y) (* z t)) a) (/.f64 y (/.f64 a x))) |
| ✓ | 48.9% | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) |
| ✓ | 53.2% | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) |
| ✓ | 49.3% | #s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
| ✓ | 53.6% | #s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (/.f64 (neg.f64 t) (/.f64 a z))) |
| ✓ | 53.4% | #s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) |
Compiled 398 to 212 computations (46.7% saved)
| Inputs |
|---|
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) |
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) |
(*.f64 #s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) (/.f64 #s(literal -1 binary64) a)) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 y (/.f64 a x))) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (/.f64 (neg.f64 t) (/.f64 a z))) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
(/.f64 #s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (neg.f64 a) (*.f64 z t))) (*.f64 a a)) |
(*.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z)))) |
(fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a))) |
(fma.f64 (/.f64 y a) x (*.f64 (neg.f64 t) (/.f64 z a))) |
(/.f64 (-.f64 (*.f64 a (*.f64 y x)) (*.f64 a (*.f64 t z))) (*.f64 a a)) |
| Outputs |
|---|
(fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a))) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
9 calls:
| 219.0ms | t |
| 9.0ms | (*.f64 x y) |
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.0% | 1 | x |
| 94.0% | 1 | y |
| 94.0% | 1 | z |
| 94.0% | 1 | t |
| 94.0% | 1 | a |
| 96.2% | 2 | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
| 96.2% | 2 | (-.f64 (*.f64 x y) (*.f64 z t)) |
| 94.0% | 1 | (*.f64 x y) |
| 94.0% | 1 | (*.f64 z t) |
Compiled 27 to 54 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) |
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) |
(*.f64 #s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) (/.f64 #s(literal -1 binary64) a)) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 y (/.f64 a x))) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (/.f64 (neg.f64 t) (/.f64 a z))) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
(/.f64 #s(approx (- (* a (* y x)) (* a (* t z))) (*.f64 (neg.f64 a) (*.f64 z t))) (*.f64 a a)) |
(*.f64 (fma.f64 (neg.f64 y) x (*.f64 t z)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a (fma.f64 (neg.f64 y) x (*.f64 t z)))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
3 calls:
| 29.0ms | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
| 4.0ms | a |
| 4.0ms | (-.f64 (*.f64 x y) (*.f64 z t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.0% | 1 | a |
| 94.0% | 1 | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
| 94.0% | 1 | (-.f64 (*.f64 x y) (*.f64 z t)) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) |
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) |
(*.f64 #s(approx (+ (* (neg y) x) (* t z)) (*.f64 z t)) (/.f64 #s(literal -1 binary64) a)) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 y (/.f64 a x))) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (/.f64 (neg.f64 t) (/.f64 a z))) |
| Outputs |
|---|
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
(/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
9 calls:
| 28.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | a |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 3 | x |
| 71.7% | 3 | y |
| 75.1% | 4 | z |
| 70.4% | 3 | t |
| 58.9% | 3 | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
| 61.5% | 4 | (-.f64 (*.f64 x y) (*.f64 z t)) |
| 81.3% | 3 | (*.f64 x y) |
| 75.9% | 3 | (*.f64 z t) |
| 60.4% | 3 | a |
Compiled 27 to 54 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) |
| Outputs |
|---|
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
1 calls:
| 2.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 3 | (*.f64 x y) |
Compiled 3 to 6 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) |
| Outputs |
|---|
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
#s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
1 calls:
| 4.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 3 | (*.f64 x y) |
Compiled 3 to 6 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
| Outputs |
|---|
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) |
#s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)) |
9 calls:
| 7.0ms | (-.f64 (*.f64 x y) (*.f64 z t)) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | t |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 2 | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
| 52.9% | 2 | (-.f64 (*.f64 x y) (*.f64 z t)) |
| 51.1% | 1 | a |
| 51.1% | 1 | t |
| 51.1% | 1 | y |
| 51.1% | 1 | z |
| 51.1% | 1 | x |
| 51.1% | 1 | (*.f64 z t) |
| 51.1% | 1 | (*.f64 x y) |
Compiled 27 to 54 computations (-100% saved)
Total -3.6b remaining (-11%)
Threshold costs -3.6b (-11%)
| Inputs |
|---|
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) |
| Outputs |
|---|
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
9 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (*.f64 x y) |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.3% | 1 | t |
| 49.3% | 1 | x |
| 49.3% | 1 | a |
| 49.3% | 1 | (*.f64 x y) |
| 49.3% | 1 | (*.f64 z t) |
| 49.3% | 1 | y |
| 49.3% | 1 | z |
| 49.3% | 1 | (-.f64 (*.f64 x y) (*.f64 z t)) |
| 49.3% | 1 | (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
Compiled 27 to 54 computations (-100% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -2.2240985546375518e+307 |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.7375824035886445e-6 | 610.6463597408591 |
| 0.0ms | -2.9782829543520705e+24 | -8952175382417582000.0 |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.7375824035886445e-6 | 610.6463597408591 |
| 0.0ms | -2.9782829543520705e+24 | -8952175382417582000.0 |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.7375824035886445e-6 | 610.6463597408591 |
| 0.0ms | -2.9782829543520705e+24 | -8952175382417582000.0 |
Compiled 12 to 17 computations (-41.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -8.211918313531424e+298 | -2.1203726009048788e+292 |
Compiled 12 to 17 computations (-41.7% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 271 |
| 1 | 93 | 270 |
| 2 | 156 | 269 |
| 3 | 274 | 268 |
| 4 | 478 | 268 |
| 5 | 858 | 268 |
| 6 | 5259 | 268 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (-.f64 (*.f64 x y) (*.f64 z t)) #s(literal -inf.0 binary64)) (fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a))) (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
(if (<=.f64 (*.f64 x y) #s(literal -1999999999999999966445568 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) (if (<=.f64 (*.f64 x y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) #s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)))) |
(if (<=.f64 (*.f64 x y) #s(literal -1999999999999999966445568 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) (if (<=.f64 (*.f64 x y) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) #s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)))) |
(if (<=.f64 (*.f64 x y) #s(literal -1999999999999999966445568 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) (if (<=.f64 (*.f64 x y) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) #s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)))) |
(if (<=.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) #s(literal -50000000000000002625238012760221012435223429055407957745792705775590122899445409789318568754022393202185222191644193908847126161768021528782239609239335349142419360046328790186891511689739404502968447661748539997254055951948382044003732637139007124728962939441002842141905783473609819343272970027008 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) #s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a))) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (*.f64 x y) (*.f64 z t)) #s(literal -inf.0 binary64)) (fma.f64 (/.f64 x a) y (*.f64 (neg.f64 t) (/.f64 z a))) (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)) |
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) |
(if (<=.f64 (*.f64 x y) #s(literal -1999999999999999966445568 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) (if (<=.f64 (*.f64 x y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (/.f64 #s(approx (- (* x y) (* z t)) (*.f64 (neg.f64 z) t)) a) #s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)))) |
(if (<=.f64 (*.f64 x y) #s(literal -1999999999999999966445568 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) (if (<=.f64 (*.f64 x y) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (neg.f64 z) (/.f64 t a))) #s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)))) |
(if (<=.f64 (*.f64 x y) #s(literal -1999999999999999966445568 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) (if (<=.f64 (*.f64 x y) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (* (+ (* (neg y) x) (* t z)) (/ -1 a)) (*.f64 (/.f64 (neg.f64 z) a) t)) #s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)))) |
(if (<=.f64 (*.f64 x y) #s(literal -1999999999999999966445568 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) (if (<=.f64 (*.f64 x y) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 (neg.f64 z) a) t)) #s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a)))) |
(if (<=.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a) #s(literal -50000000000000002625238012760221012435223429055407957745792705775590122899445409789318568754022393202185222191644193908847126161768021528782239609239335349142419360046328790186891511689739404502968447661748539997254055951948382044003732637139007124728962939441002842141905783473609819343272970027008 binary64)) #s(approx (/ (- (* x y) (* z t)) a) (*.f64 (/.f64 x a) y)) #s(approx (/ (- (* x y) (* z t)) a) (/.f64 (*.f64 y x) a))) |
#s(approx (/ (- (* x y) (* z t)) a) (*.f64 x (/.f64 y a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 219 |
| 1 | 314 | 189 |
| 2 | 1038 | 189 |
| 3 | 3905 | 189 |
| 4 | 6630 | 189 |
| 0 | 8007 | 189 |
| 0 | 148 | 472 |
| 1 | 548 | 416 |
| 2 | 1780 | 416 |
| 3 | 5274 | 416 |
| 0 | 8655 | 416 |
| 0 | 32 | 136 |
| 0 | 54 | 130 |
| 1 | 205 | 125 |
| 2 | 1456 | 125 |
| 0 | 8643 | 125 |
| 0 | 9 | 22 |
| 0 | 13 | 22 |
| 1 | 44 | 22 |
| 2 | 313 | 22 |
| 3 | 3289 | 22 |
| 0 | 8827 | 22 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 446 to 228 computations (48.9% saved)
(sort z t)
(sort x y)
(negabs a)
Compiled 992 to 366 computations (63.1% saved)
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