
Time bar (total: 6.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 17 to 10 computations (41.2% saved)
| 716.0ms | 8 256× | 0 | valid |
ival-add: 360.0ms (70.2% of total)ival-mult: 143.0ms (27.9% of total)ival-true: 6.0ms (1.2% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 5 | 1 | (-6.446433050535474e+205 4.66812215223754e-310 -1.0142786300052456e-128) | 0 | - | (+.f64 (*.f64 x y) (*.f64 z z)) |
| 1 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 1 | 0 | - | 0 | - | (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (*.f64 x y) (*.f64 z z)) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 x y) | overflow | 31 | |
| ↳ | (*.f64 z z) | overflow | 75 | |
+.f64 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) | nan-rescue | 1 | 0 |
| ↳ | (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) | overflow | 95 | |
| ↳ | (+.f64 (*.f64 x y) (*.f64 z z)) | overflow | 95 | |
| ↳ | (*.f64 x y) | overflow | 31 | |
| ↳ | (*.f64 z z) | overflow | 150 | |
| ↳ | (*.f64 z z) | overflow | 75 | |
+.f64 | (+.f64 (*.f64 x y) (*.f64 z z)) | cancellation | 1 | 0 |
+.f64 | (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) | nan-rescue | 1 | 0 |
| ↳ | (+.f64 (*.f64 x y) (*.f64 z z)) | overflow | 95 | |
| ↳ | (*.f64 x y) | overflow | 31 | |
| ↳ | (*.f64 z z) | overflow | 75 | |
| ↳ | (*.f64 z z) | overflow | 75 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5 | 0 |
| - | 1 | 250 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5 | 0 | 0 |
| - | 1 | 0 | 250 |
| number | freq |
|---|---|
| 0 | 250 |
| 1 | 5 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 138.0ms | 512× | 0 | valid |
Compiled 187 to 44 computations (76.5% saved)
ival-add: 115.0ms (93.8% of total)ival-mult: 7.0ms (5.7% 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 | 37 | 142 |
| 1 | 104 | 120 |
| 2 | 235 | 82 |
| 3 | 602 | 81 |
| 4 | 1131 | 81 |
| 5 | 1497 | 81 |
| 6 | 2068 | 81 |
| 7 | 2586 | 81 |
| 8 | 2644 | 81 |
| 9 | 2644 | 81 |
| 0 | 8 | 15 |
| 0 | 13 | 15 |
| 1 | 20 | 13 |
| 2 | 30 | 9 |
| 3 | 42 | 9 |
| 4 | 50 | 9 |
| 5 | 53 | 9 |
| 0 | 53 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(abs z)
(sort x y)
Compiled 15 to 8 computations (46.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.9% | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
Compiled 15 to 8 computations (46.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 128 | (+.f64 (*.f64 x y) (*.f64 z z)) | |
| cost-diff | 192 | (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) | |
| cost-diff | 512 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 42 |
| 0 | 13 | 42 |
| 1 | 20 | 38 |
| 2 | 30 | 34 |
| 3 | 42 | 34 |
| 4 | 50 | 34 |
| 5 | 53 | 34 |
| 0 | 53 | 31 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (*.f64 x y) (*.f64 z z)) |
(*.f64 x y) |
x |
y |
(*.f64 z z) |
z |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) |
(fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 y x)) |
(+.f64 (*.f64 x y) (*.f64 z z)) |
(fma.f64 z z (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 z z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.2617166858302058 | (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) | |
| accuracy | 0.3320291858302058 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) | |
| accuracy | 1.058591685830206 | (+.f64 (*.f64 x y) (*.f64 z z)) |
| 14.0ms | 256× | 0 | valid |
Compiled 86 to 18 computations (79.1% saved)
ival-add: 3.0ms (44.3% of total)ival-mult: 3.0ms (44.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (*.f64 x y) (*.f64 z z)) |
(*.f64 x y) |
| Outputs |
|---|
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (/ (pow z 2) x))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (/ (pow z 2) y))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(+ (* 3 (pow z 2)) (* x y)) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | x | @ | 0 | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y)) |
| 1.0ms | z | @ | inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y)) |
| 1.0ms | y | @ | -inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y)) |
| 1.0ms | x | @ | -inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y)) |
| 1.0ms | y | @ | 0 | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 208 |
| 1 | 244 | 180 |
| 2 | 752 | 180 |
| 3 | 2132 | 180 |
| 4 | 5815 | 180 |
| 0 | 8129 | 161 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 2 (pow z 2)) |
(+ (* 2 (pow z 2)) (* x y)) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(* x y) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(* x (+ y (/ (pow z 2) x))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(* y (+ x (/ (pow z 2) y))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(+ (* 3 (pow z 2)) (* x y)) |
(* 3 (pow z 2)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
| Outputs |
|---|
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(+ (* 2 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(pow z 2) |
(*.f64 z z) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) |
(* x (+ y (* 2 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) |
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 y x)) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) |
(* y (+ x (* 2 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* y (+ x (/ (pow z 2) y))) |
(fma.f64 z z (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) |
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 y x)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) |
(* 3 (pow z 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) |
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 y x)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 36 |
| 0 | 13 | 36 |
| 1 | 55 | 32 |
| 2 | 517 | 26 |
| 3 | 7580 | 26 |
| 0 | 8184 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) |
(+.f64 (*.f64 x y) (*.f64 z z)) |
(*.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 y x)) z) (neg.f64 z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 z z (*.f64 y x)) z) (neg.f64 z)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (neg.f64 (fma.f64 z z (*.f64 y x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 y x)) z) (neg.f64 z)) (-.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 y x)) z) (neg.f64 z)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 z z)))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (*.f64 y x))))) |
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))) |
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 y x))) (pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64))))) |
(*.f64 (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (pow.f64 (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (/.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z z) (*.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 z z) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z z) (*.f64 y x)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) (+.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 z #s(literal 18 binary64))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 z) z (*.f64 y x))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x)) (pow.f64 z #s(literal 4 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 z z (*.f64 y x)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 z z (*.f64 y x)) z) z (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) 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 z #s(literal 4 binary64)))) (fma.f64 z z (*.f64 y x)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 y x)) |
(fma.f64 (*.f64 (*.f64 x x) y) (/.f64 y (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (*.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 z z (*.f64 y x)) |
(fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 y (/.f64 (*.f64 (*.f64 x x) y) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 y x (*.f64 z z)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(fma.f64 x y (*.f64 z z)) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 z z) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 z) z (*.f64 y x))))) |
(+.f64 (*.f64 z z) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 z z)) |
(*.f64 y x) |
(*.f64 x y) |
Compiled 10 015 to 1 014 computations (89.9% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 325 | 6 | 331 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 326 | 6 | 332 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.4% | (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) |
| ▶ | 99.5% | (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
| ▶ | 97.9% | (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
| 59.2% | (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) | |
| ▶ | 98.3% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))) |
| ▶ | 59.5% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
Compiled 196 to 122 computations (37.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 z z (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) z) | |
| cost-diff | 384 | (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 z z)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (*.f64 z z)) | |
| cost-diff | 0 | (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 138 |
| 0 | 36 | 133 |
| 1 | 56 | 121 |
| 2 | 68 | 121 |
| 3 | 76 | 121 |
| 0 | 76 | 121 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
y |
x |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) |
(*.f64 #s(literal 3 binary64) z) |
#s(literal 3 binary64) |
z |
(*.f64 y x) |
y |
x |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
(*.f64 y x) |
y |
x |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(fma.f64 z z (*.f64 y x)) |
(*.f64 y x) |
y |
x |
| Outputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) |
y |
x |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y))) |
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) |
(*.f64 #s(literal 3 binary64) z) |
(*.f64 z #s(literal 3 binary64)) |
#s(literal 3 binary64) |
z |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) |
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(fma.f64 z z (*.f64 y x)) |
(fma.f64 z z (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) z) | |
| accuracy | 0.03515625 | (fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) | |
| accuracy | 1.007801490422241 | (fma.f64 z z (*.f64 y x)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 1.132810435830206 | (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) z) | |
| accuracy | 0 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))) | |
| accuracy | 1.0703014904222408 | (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0.1796875 | (*.f64 #s(literal 3 binary64) (*.f64 z z)) | |
| accuracy | 25.80625517314258 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0.1796875 | (*.f64 #s(literal 3 binary64) (*.f64 z z)) | |
| accuracy | 0.24999724760556022 | (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
| 102.0ms | 256× | 0 | valid |
Compiled 269 to 45 computations (83.3% saved)
ival-add: 75.0ms (85.6% of total)ival-mult: 12.0ms (13.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(*.f64 z z) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) |
(*.f64 #s(literal 3 binary64) z) |
(*.f64 y x) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) |
(*.f64 #s(literal 2 binary64) z) |
(fma.f64 z z (*.f64 y x)) |
| Outputs |
|---|
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* x y) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (/ (pow z 2) x))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (/ (pow z 2) y))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* 3 z) |
(* 2 z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x))) |
| 1.0ms | z | @ | inf | ((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x))) |
| 1.0ms | z | @ | 0 | ((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x))) |
| 1.0ms | x | @ | -inf | ((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x))) |
| 1.0ms | y | @ | -inf | ((+ (* y x) (* 3 (* z z))) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* 3 (* z z)) (* y x)) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 163 |
| 1 | 248 | 163 |
| 2 | 752 | 163 |
| 3 | 2143 | 163 |
| 4 | 5594 | 163 |
| 0 | 8212 | 146 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* x y) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (/ (pow z 2) x))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (/ (pow z 2) y))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* 3 z) |
(* 2 z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
| Outputs |
|---|
(* 3 (pow z 2)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) z) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y)) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) z) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y)) |
(* x y) |
(*.f64 x y) |
(pow z 2) |
(*.f64 z z) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 x y)) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y)) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y)) |
(* x (+ y (/ (pow z 2) x))) |
(fma.f64 z z (*.f64 x y)) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(fma.f64 z z (*.f64 x y)) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y)) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y)) |
(* y (+ x (/ (pow z 2) y))) |
(fma.f64 z z (*.f64 x y)) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(fma.f64 z z (*.f64 x y)) |
(* 3 z) |
(*.f64 #s(literal 3 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(fma.f64 z z (*.f64 x y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 103 |
| 0 | 36 | 98 |
| 1 | 152 | 86 |
| 2 | 1173 | 86 |
| 0 | 8298 | 86 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(*.f64 z z) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) |
(*.f64 #s(literal 3 binary64) z) |
(*.f64 y x) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) |
(*.f64 #s(literal 2 binary64) z) |
(fma.f64 z z (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z z (*.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 z #s(literal 3 binary64)) z) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (*.f64 (fma.f64 z z (*.f64 x y)) (-.f64 (fma.f64 z z (*.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 z #s(literal 3 binary64)) z) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y))))))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 12 binary64)) (*.f64 (fma.f64 z z (*.f64 x y)) (-.f64 (fma.f64 z z (*.f64 x y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 z z)))))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))) (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z))))) (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))))) (+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y)))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))))) (+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 (neg.f64 x) y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y))))) (*.f64 (/.f64 (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y)))) (/.f64 (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y)))))) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y)))) (/.f64 (pow.f64 (fma.f64 z z (*.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 #s(literal -3 binary64) (*.f64 z z)))))))) |
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(fma.f64 y x (*.f64 z z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z)))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))))) |
(+.f64 (*.f64 x y) (*.f64 z z)) |
(+.f64 (*.f64 z z) (*.f64 x y)) |
Compiled 9 650 to 882 computations (90.9% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 337 | 2 | 339 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 339 | 6 | 345 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
| ▶ | 59.2% | (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) |
| ✓ | 98.3% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))) |
| ▶ | 59.6% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) |
| ▶ | 59.6% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| ✓ | 59.5% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
Compiled 124 to 70 computations (43.5% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) | |
| cost-diff | 64 | (fma.f64 y x #s(literal 0 binary64)) | |
| cost-diff | 320 | (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) | |
| cost-diff | 8192 | (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) | |
| cost-diff | -128 | (+.f64 z z) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) | |
| cost-diff | 384 | (fma.f64 z (+.f64 z z) (*.f64 z z)) | |
| cost-diff | 0 | (*.f64 z #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 z #s(literal 3 binary64)) z) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 153 |
| 0 | 40 | 118 |
| 1 | 76 | 96 |
| 2 | 156 | 96 |
| 3 | 428 | 96 |
| 4 | 1819 | 96 |
| 5 | 3068 | 96 |
| 6 | 3816 | 96 |
| 7 | 4043 | 96 |
| 8 | 4498 | 96 |
| 9 | 4732 | 96 |
| 10 | 6120 | 96 |
| 11 | 6296 | 96 |
| 12 | 6497 | 96 |
| 13 | 6747 | 96 |
| 0 | 8665 | 96 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) |
(fma.f64 z (+.f64 z z) (*.f64 z z)) |
z |
(+.f64 z z) |
(*.f64 z z) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
(*.f64 y x) |
y |
x |
(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) |
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) |
(fma.f64 y x #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(*.f64 (*.f64 #s(literal 3 binary64) z) z) |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) z) |
z |
#s(literal 3 binary64) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z)) |
(fma.f64 z (+.f64 z z) (*.f64 z z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) z) |
z |
(+.f64 z z) |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 z z) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
(*.f64 y x) |
y |
x |
(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) |
(fma.f64 z z (*.f64 y x)) |
(fma.f64 y x #s(literal 0 binary64)) |
(*.f64 y x) |
#s(literal 0 binary64) |
(pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 z z (*.f64 y x)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.5974200258701772 | (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) | |
| accuracy | 1.007801490422241 | (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) | |
| accuracy | 1.132810435830206 | (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) | |
| accuracy | 25.367459854031708 | (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) | |
| accuracy | 0 | (+.f64 z z) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0.06640625 | (fma.f64 z (+.f64 z z) (*.f64 z z)) | |
| accuracy | 25.80625517314258 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) | |
| accuracy | 0 | (*.f64 z #s(literal 3 binary64)) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 z #s(literal 3 binary64)) z) | |
| accuracy | 25.80625517314258 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| 70.0ms | 256× | 0 | valid |
Compiled 309 to 51 computations (83.5% saved)
ival-mult: 23.0ms (65.3% of total)ival-add: 8.0ms (22.7% of total)ival-pow: 3.0ms (8.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(*.f64 z #s(literal 3 binary64)) |
(fma.f64 z (+.f64 z z) (*.f64 z z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) |
(*.f64 z z) |
(+.f64 z z) |
(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) |
(fma.f64 y x #s(literal 0 binary64)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) |
(pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) |
| Outputs |
|---|
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
1 |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(/ 1 (pow z 2)) |
(+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2))) |
(+ (* x (- (/ (* x (pow y 2)) (pow z 6)) (/ y (pow z 4)))) (/ 1 (pow z 2))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 8))) (* -1 (/ (pow y 2) (pow z 6))))) (/ y (pow z 4)))) (/ 1 (pow z 2))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (/ (pow z 2) x))) |
(/ 1 (* x y)) |
(/ (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (+ (/ 1 y) (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2)))) x) |
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2))))) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (/ (- (/ (pow z 2) (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (/ (pow z 4) (pow y 3))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) |
(+ (* y (- (/ (* (pow x 2) y) (pow z 6)) (/ x (pow z 4)))) (/ 1 (pow z 2))) |
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 8))) (* -1 (/ (pow x 2) (pow z 6))))) (/ x (pow z 4)))) (/ 1 (pow z 2))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (/ (pow z 2) y))) |
(/ (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y) |
(/ (- (+ (/ 1 x) (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y))) y) |
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y)))) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (/ (- (/ (pow z 2) (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* (pow x 3) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* (pow x 4) y)) (/ (pow z 4) (pow x 3))) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y)) |
(* 3 z) |
(* 2 z) |
(+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(/ (+ 1 (* -1 (/ (* x y) (pow z 2)))) (pow z 2)) |
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))) (pow z 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | -inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) |
| 2.0ms | y | @ | inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) |
| 2.0ms | z | @ | inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) |
| 1.0ms | z | @ | -inf | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) |
| 1.0ms | z | @ | 0 | ((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 853 |
| 1 | 728 | 817 |
| 2 | 2159 | 791 |
| 3 | 7584 | 781 |
| 0 | 8777 | 753 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
1 |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
(* x y) |
(pow z 2) |
(+ (* x y) (pow z 2)) |
(/ 1 (pow z 2)) |
(+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2))) |
(+ (* x (- (/ (* x (pow y 2)) (pow z 6)) (/ y (pow z 4)))) (/ 1 (pow z 2))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 8))) (* -1 (/ (pow y 2) (pow z 6))))) (/ y (pow z 4)))) (/ 1 (pow z 2))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(* x (+ y (/ (pow z 2) x))) |
(/ 1 (* x y)) |
(/ (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (+ (/ 1 y) (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2)))) x) |
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2))))) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (/ (- (/ (pow z 2) (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (/ (pow z 4) (pow y 3))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) |
(+ (* y (- (/ (* (pow x 2) y) (pow z 6)) (/ x (pow z 4)))) (/ 1 (pow z 2))) |
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 8))) (* -1 (/ (pow x 2) (pow z 6))))) (/ x (pow z 4)))) (/ 1 (pow z 2))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(* y (+ x (/ (pow z 2) y))) |
(/ (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y) |
(/ (- (+ (/ 1 x) (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y))) y) |
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y)))) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (/ (- (/ (pow z 2) (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* (pow x 3) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* (pow x 4) y)) (/ (pow z 4) (pow x 3))) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y)) |
(* 3 z) |
(* 2 z) |
(+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(/ (+ 1 (* -1 (/ (* x y) (pow z 2)))) (pow z 2)) |
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))) (pow z 2)) |
| Outputs |
|---|
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
1 |
#s(literal 1 binary64) |
(* 3 (pow z 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(pow z 2) |
(*.f64 z z) |
(+ (* x y) (pow z 2)) |
(fma.f64 z z (*.f64 y x)) |
(/ 1 (pow z 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
(+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2))) |
(fma.f64 (neg.f64 x) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(+ (* x (- (/ (* x (pow y 2)) (pow z 6)) (/ y (pow z 4)))) (/ 1 (pow z 2))) |
(fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (*.f64 y y)) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) x (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 8))) (* -1 (/ (pow y 2) (pow z 6))))) (/ y (pow z 4)))) (/ 1 (pow z 2))) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 x (pow.f64 z #s(literal 8 binary64))) (*.f64 (/.f64 y (pow.f64 z #s(literal 6 binary64))) y)) x (/.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64)))) x (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x) |
(* x (+ y (/ (pow z 2) x))) |
(*.f64 (fma.f64 (/.f64 z x) z y) x) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x) |
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y)) |
(/ (- (+ (/ 1 y) (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2)))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) (/.f64 z y) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2))))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 (/.f64 z y) (/.f64 z y) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) x)) x)) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(*.f64 (fma.f64 (/.f64 z x) z y) x) |
(* -1 (/ (- (/ (pow z 2) (* x (pow y 2))) (/ 1 y)) x)) |
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) (/.f64 z y) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (/ (pow z 4) (pow y 3))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 (/.f64 z y) (/.f64 z y) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) x)) x)) x) |
(+ (* y (- (/ (* (pow x 2) y) (pow z 6)) (/ x (pow z 4)))) (/ 1 (pow z 2))) |
(fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (*.f64 y y)) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) x (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 8))) (* -1 (/ (pow x 2) (pow z 6))))) (/ x (pow z 4)))) (/ 1 (pow z 2))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 y (pow.f64 z #s(literal 8 binary64))))) y (/.f64 (neg.f64 x) (pow.f64 z #s(literal 4 binary64)))) y (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x) y) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x) y) |
(* y (+ x (/ (pow z 2) y))) |
(*.f64 (fma.f64 (/.f64 z y) z x) y) |
(/ (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y) |
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y)) |
(/ (- (+ (/ 1 x) (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y))) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 z (neg.f64 x)) (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 #s(literal 1 binary64) x)) y) |
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y)))) y) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (/.f64 z x) (/.f64 z x) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) y)) y)) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x) y) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(*.f64 (fma.f64 (/.f64 z y) z x) y) |
(* -1 (/ (- (/ (pow z 2) (* (pow x 2) y)) (/ 1 x)) y)) |
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* (pow x 3) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 z (neg.f64 x)) (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 #s(literal 1 binary64) x)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* (pow x 4) y)) (/ (pow z 4) (pow x 3))) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (/.f64 z x) (/.f64 z x) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) y)) y)) y) |
(* 3 z) |
(*.f64 #s(literal 3 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) |
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y)) |
(+ (* (pow z 2) (- (/ (pow z 2) (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (pow.f64 z #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 z (*.f64 y x)) (/.f64 z x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 3 binary64)) (*.f64 z z)) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) y #s(literal 1 binary64)) (*.f64 z z)) |
(/ (+ 1 (* -1 (/ (* x y) (pow z 2)))) (pow z 2)) |
(fma.f64 (neg.f64 x) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2))) (pow z 2)) |
(/.f64 (fma.f64 x (-.f64 (*.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) y) x) (/.f64 y (*.f64 z z))) #s(literal 1 binary64)) (*.f64 z z)) |
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))) (pow z 2)) |
(/.f64 (fma.f64 x (-.f64 (*.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) y) x) (/.f64 y (*.f64 z z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 138 |
| 0 | 40 | 99 |
| 1 | 178 | 71 |
| 2 | 1713 | 71 |
| 0 | 8394 | 67 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) z) |
(*.f64 z #s(literal 3 binary64)) |
(fma.f64 z (+.f64 z z) (*.f64 z z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) |
(*.f64 z z) |
(+.f64 z z) |
(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) |
(fma.f64 y x #s(literal 0 binary64)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) |
(pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) z) z) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(*.f64 z (-.f64 #s(literal 0 binary64) z)) |
(*.f64 z (*.f64 #s(literal 3 binary64) z)) |
(pow.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 z z #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) #s(literal 0 binary64)) |
(fma.f64 z #s(literal 0 binary64) (*.f64 z z)) |
(fma.f64 z z #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) |
(+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z z))) |
(+.f64 #s(literal 0 binary64) (*.f64 z z)) |
(+.f64 (*.f64 z z) #s(literal 0 binary64)) |
(*.f64 #s(literal 3 binary64) z) |
(*.f64 z #s(literal 3 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z)) |
(+.f64 #s(literal 0 binary64) z) |
(+.f64 z #s(literal 0 binary64)) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) z) z) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(*.f64 (*.f64 z z) #s(literal 3 binary64)) |
(*.f64 z (-.f64 #s(literal 0 binary64) z)) |
(*.f64 z (*.f64 #s(literal 3 binary64) z)) |
(pow.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 z z #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) #s(literal 0 binary64)) |
(fma.f64 z #s(literal 0 binary64) (*.f64 z z)) |
(fma.f64 z z #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) |
(+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z z))) |
(+.f64 #s(literal 0 binary64) (*.f64 z z)) |
(+.f64 (*.f64 z z) #s(literal 0 binary64)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z))) |
(*.f64 z z) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64)) |
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(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) y) x)))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (fma.f64 z z #s(literal 0 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (neg.f64 y) x)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 y) x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y x)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (fma.f64 z z #s(literal 0 binary64))))) (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x (*.f64 z z)) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64)))) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 y x)) |
(fma.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z (*.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (+.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (fma.f64 y x (*.f64 z z))) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) |
(fma.f64 (+.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (fma.f64 y x (*.f64 z z))) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 z) z)) |
(fma.f64 (+.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (fma.f64 y x (*.f64 z z))) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 z z))) |
(fma.f64 (+.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (fma.f64 y x (*.f64 z z))) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 z z #s(literal 0 binary64))) |
(fma.f64 (+.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (fma.f64 y x (*.f64 z z))) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 z z)) |
(fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 y) x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (*.f64 y x)) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (*.f64 (neg.f64 z) z)) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 z z))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (fma.f64 z z #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (*.f64 z z)) |
(fma.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) (*.f64 y x)) |
(fma.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (fma.f64 z z #s(literal 0 binary64))))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal -2 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal -2 binary64)) (*.f64 (neg.f64 z) z)) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal -2 binary64)) (neg.f64 (*.f64 z z))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal -2 binary64)) (fma.f64 z z #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal -2 binary64)) (*.f64 z z)) |
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y x (*.f64 z z)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 (fma.f64 y x (*.f64 z z)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x)) |
(fma.f64 z (-.f64 #s(literal 0 binary64) z) (*.f64 y x)) |
(fma.f64 z (*.f64 #s(literal 3 binary64) z) (*.f64 y x)) |
(fma.f64 z z (*.f64 y x)) |
(fma.f64 y x (+.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) |
(fma.f64 y x (*.f64 (neg.f64 z) z)) |
(fma.f64 y x (neg.f64 (*.f64 z z))) |
(fma.f64 y x (fma.f64 z z #s(literal 0 binary64))) |
(fma.f64 y x (*.f64 z z)) |
(fma.f64 x y (+.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) |
(fma.f64 x y (*.f64 (neg.f64 z) z)) |
(fma.f64 x y (neg.f64 (*.f64 z z))) |
(fma.f64 x y (fma.f64 z z #s(literal 0 binary64))) |
(fma.f64 x y (*.f64 z z)) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 y) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 y x (*.f64 z z)))) |
(-.f64 (*.f64 y x) (*.f64 z z)) |
(exp.f64 (log.f64 (fma.f64 y x (*.f64 z z)))) |
(+.f64 (fma.f64 (*.f64 #s(literal 3 binary64) z) z #s(literal 0 binary64)) (*.f64 y x)) |
(+.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 y x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) |
(+.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) |
(+.f64 (*.f64 y x) (*.f64 (neg.f64 z) z)) |
(+.f64 (*.f64 y x) (neg.f64 (*.f64 z z))) |
(+.f64 (*.f64 y x) (fma.f64 z z #s(literal 0 binary64))) |
(+.f64 (*.f64 y x) (*.f64 z z)) |
(+.f64 #s(literal 0 binary64) (fma.f64 y x (*.f64 z z))) |
(+.f64 (fma.f64 y x (*.f64 z z)) #s(literal 0 binary64)) |
(+.f64 (*.f64 z z) (*.f64 y x)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (fma.f64 z z #s(literal 0 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 z z (*.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 z z (*.f64 (neg.f64 y) x))) |
(*.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -2 binary64)) (fma.f64 y x (*.f64 z z))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 y) x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 y) x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (fma.f64 y x (*.f64 z z)))) |
(pow.f64 (/.f64 (fma.f64 y x (*.f64 z z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x (*.f64 z z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x (*.f64 z z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y x (*.f64 z z)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 y x (*.f64 z z))) #s(literal -1/2 binary64) (*.f64 (log.f64 (fma.f64 y x (*.f64 z z))) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y x (*.f64 z z))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y x (*.f64 z z))) #s(literal -1 binary64))) |
Compiled 68 069 to 4 555 computations (93.3% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 160 | 5 | 1 165 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 3 | 3 |
| Total | 1 161 | 10 | 1 171 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.1% | (fma.f64 z z (*.f64 y x)) |
| ✓ | 99.5% | (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
| ▶ | 30.8% | (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
| ▶ | 30.6% | (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
| ✓ | 98.3% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))) |
| ✓ | 59.6% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) |
| ▶ | 38.2% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) |
| ▶ | 5.3% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) |
| ✓ | 59.6% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| ✓ | 59.5% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
Compiled 336 to 198 computations (41.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) | |
| cost-diff | 64 | (fma.f64 y x #s(literal 0 binary64)) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 6080 | (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) | |
| cost-diff | 64 | (fma.f64 y x #s(literal 0 binary64)) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 z z)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) | |
| cost-diff | 64 | (fma.f64 z z #s(literal 0 binary64)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 z z (*.f64 y x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 338 |
| 0 | 63 | 321 |
| 1 | 112 | 317 |
| 2 | 242 | 299 |
| 3 | 944 | 299 |
| 4 | 3811 | 299 |
| 5 | 5993 | 299 |
| 6 | 6989 | 299 |
| 0 | 8106 | 299 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 z z (*.f64 y x)) |
z |
(*.f64 y x) |
y |
x |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) |
(fma.f64 z z #s(literal 0 binary64)) |
z |
#s(literal 0 binary64) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(literal 0 binary64) |
(*.f64 z z) |
z |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
(*.f64 y x) |
y |
x |
(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) |
(fma.f64 y x #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
(*.f64 y x) |
y |
x |
(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) |
(fma.f64 y x #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) |
(fma.f64 y x (*.f64 z z)) |
#s(literal 3/2 binary64) |
#s(literal -1 binary64) |
(pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(fma.f64 z z (*.f64 y x)) |
(fma.f64 x y (*.f64 z z)) |
z |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 z z)) |
(fma.f64 z z #s(literal 0 binary64)) |
(*.f64 z z) |
z |
#s(literal 0 binary64) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (neg.f64 z) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
(*.f64 (neg.f64 z) z) |
#s(literal 0 binary64) |
(*.f64 z z) |
z |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(*.f64 (*.f64 #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (fma.f64 x y (*.f64 z z))) (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(*.f64 #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (fma.f64 x y (*.f64 z z))) |
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) |
(fma.f64 x y (*.f64 z z)) |
(fma.f64 y x #s(literal 0 binary64)) |
(*.f64 x y) |
#s(literal 0 binary64) |
#s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y)) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64))) (/.f64 (fma.f64 x y (*.f64 z z)) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y)) |
#s(literal 3 binary64) |
(*.f64 z z) |
z |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 (fma.f64 x y (*.f64 z z)) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64))) |
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) |
(fma.f64 x y (*.f64 z z)) |
(fma.f64 y x #s(literal 0 binary64)) |
(*.f64 x y) |
#s(literal 0 binary64) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) |
(pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64)) |
(fma.f64 y x (*.f64 z z)) |
(fma.f64 x y (*.f64 z z)) |
#s(literal 3/2 binary64) |
#s(literal -1 binary64) |
(pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.007801490422241 | (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) | |
| accuracy | 7.714983251381196 | (*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) | |
| accuracy | 21.091880424154947 | (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) | |
| accuracy | 22.176020591421803 | (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) | |
| accuracy | 0.8828125000000001 | (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) | |
| accuracy | 1.007801490422241 | (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) | |
| accuracy | 13.611150029348634 | #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))) | |
| accuracy | 22.176020591421803 | (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) | |
| accuracy | 0 | (-.f64 #s(literal 0 binary64) (*.f64 z z)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 48.822617803567645 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) | |
| accuracy | 0 | (fma.f64 z z #s(literal 0 binary64)) | |
| accuracy | 27.313424523511912 | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 1.007801490422241 | (fma.f64 z z (*.f64 y x)) |
| 68.0ms | 204× | 0 | valid |
| 30.0ms | 52× | 0 | invalid |
Compiled 692 to 78 computations (88.7% saved)
ival-mult: 25.0ms (33.5% of total)ival-add: 23.0ms (30.9% of total)ival-pow: 18.0ms (24.1% of total)ival-div: 6.0ms (8% of total)ival-sub: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 z z (*.f64 y x)) |
(*.f64 y x) |
(fma.f64 z z #s(literal 0 binary64)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) |
(*.f64 z z) |
(fma.f64 y x #s(literal 0 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) |
#s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) |
(pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(pow z 2) |
(+ (* x y) (pow z 2)) |
(* x y) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
1 |
(/ 1 (pow z 2)) |
(+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2))) |
(+ (* x (- (/ (* x (pow y 2)) (pow z 6)) (/ y (pow z 4)))) (/ 1 (pow z 2))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 8))) (* -1 (/ (pow y 2) (pow z 6))))) (/ y (pow z 4)))) (/ 1 (pow z 2))) |
(/ 1 z) |
(+ (* -1/2 (/ (* x y) (pow z 3))) (/ 1 z)) |
(+ (* x (+ (* -1/2 (* x (* z (+ (* -1 (/ (pow y 2) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 6))))))) (* -1/2 (/ y (pow z 3))))) (/ 1 z)) |
(+ (* x (+ (* -1/2 (/ y (pow z 3))) (* x (+ (* -1/2 (* x (* z (+ (* 1/2 (/ (* y (+ (* -1 (/ (pow y 2) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 6))))) (pow z 2))) (/ (pow y 3) (pow z 8)))))) (* -1/2 (* z (+ (* -1 (/ (pow y 2) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 6)))))))))) (/ 1 z)) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(/ 1 (* x y)) |
(/ (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (+ (/ 1 y) (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2)))) x) |
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2))))) x) |
(sqrt (/ 1 (* x y))) |
(+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2)))) |
(+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (pow z 4))))) |
(+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* -1/2 (* (sqrt (/ y (pow x 7))) (+ (* 1/4 (/ (* x (pow z 4)) (pow y 3))) (/ (pow z 6) (pow y 4))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (pow z 4)))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (/ (- (/ (pow z 2) (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (/ (pow z 4) (pow y 3))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) |
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (pow z 4))) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow y 5))) (pow z 4))) (* 1/2 (* (sqrt (/ y x)) (+ (* -1/4 (/ (* x (pow z 4)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow y 4)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))) |
(+ (* y (- (/ (* (pow x 2) y) (pow z 6)) (/ x (pow z 4)))) (/ 1 (pow z 2))) |
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 8))) (* -1 (/ (pow x 2) (pow z 6))))) (/ x (pow z 4)))) (/ 1 (pow z 2))) |
(+ (* y (+ (* -1/2 (* y (* z (+ (* -1 (/ (pow x 2) (pow z 6))) (* 1/4 (/ (pow x 2) (pow z 6))))))) (* -1/2 (/ x (pow z 3))))) (/ 1 z)) |
(+ (* y (+ (* -1/2 (/ x (pow z 3))) (* y (+ (* -1/2 (* y (* z (+ (* 1/2 (/ (* x (+ (* -1 (/ (pow x 2) (pow z 6))) (* 1/4 (/ (pow x 2) (pow z 6))))) (pow z 2))) (/ (pow x 3) (pow z 8)))))) (* -1/2 (* z (+ (* -1 (/ (pow x 2) (pow z 6))) (* 1/4 (/ (pow x 2) (pow z 6)))))))))) (/ 1 z)) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(/ (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y) |
(/ (- (+ (/ 1 x) (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y))) y) |
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y)))) y) |
(+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* -1/2 (* (sqrt (/ x (pow y 7))) (+ (* 1/4 (/ (* y (pow z 4)) (pow x 3))) (/ (pow z 6) (pow x 4))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (pow z 4)))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (/ (- (/ (pow z 2) (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* (pow x 3) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* (pow x 4) y)) (/ (pow z 4) (pow x 3))) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y)) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ y (pow x 5))) (pow z 4))) (* 1/2 (* (sqrt (/ x y)) (+ (* -1/4 (/ (* y (pow z 4)) (* (pow x 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow x 4)))))) (pow y 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))) |
(* -1 (pow z 2)) |
(+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* (pow x 3) (pow y 3))))) (* 3/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (pow z 2)))))) |
(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* (pow x 3) (pow y 3))))) (* (pow z 2) (+ (* -5/16 (* (sqrt (/ 1 (* (pow x 7) (pow y 7)))) (pow z 2))) (* 3/8 (sqrt (/ 1 (* (pow x 5) (pow y 5)))))))))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(/ (+ 1 (* -1 (/ (* x y) (pow z 2)))) (pow z 2)) |
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))) (pow z 2)) |
(/ (+ 1 (* -1/2 (/ (* x y) (pow z 2)))) z) |
(/ (+ 1 (+ (* -1/2 (/ (* x y) (pow z 2))) (* -1/2 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2)))) (pow z 4))))) z) |
(/ (+ 1 (+ (* -1/2 (/ (* x y) (pow z 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2)))) (pow z 4))) (* -1/2 (/ (+ (* 1/2 (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2))))))) (* (pow x 3) (pow y 3))) (pow z 6)))))) z) |
(/ -1 z) |
(* -1 (/ (+ 1 (* -1/2 (/ (* x y) (pow z 2)))) z)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (* x y) (pow z 2))) (* -1/2 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2)))) (pow z 4))))) z)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (* x y) (pow z 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2)))) (pow z 4))) (* -1/2 (/ (+ (* 1/2 (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2))))))) (* (pow x 3) (pow y 3))) (pow z 6)))))) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | inf | ((+ (* z z) (* y x)) (* y x) (+ (* z z) 0) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (- 0 (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ (* y x) 0) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (* (pow (pow (+ (* y x) (* z z)) 3/2) -1) (pow (pow (+ (* y x) (* z z)) -1/2) -1))) (* (pow (pow (+ (* y x) (* z z)) 3/2) -1) (pow (pow (+ (* y x) (* z z)) -1/2) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (* (pow (pow (+ (* y x) (* z z)) 3/2) -1) (pow (pow (+ (* y x) (* z z)) -1/2) -1)))) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (pow (+ (* z z) (+ (* y x) 0)) -1) (+ (* z z) (+ (* y x) 0)) (pow (+ (* y x) (* z z)) -1/2)) |
| 2.0ms | y | @ | -inf | ((+ (* z z) (* y x)) (* y x) (+ (* z z) 0) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (- 0 (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ (* y x) 0) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (* (pow (pow (+ (* y x) (* z z)) 3/2) -1) (pow (pow (+ (* y x) (* z z)) -1/2) -1))) (* (pow (pow (+ (* y x) (* z z)) 3/2) -1) (pow (pow (+ (* y x) (* z z)) -1/2) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (* (pow (pow (+ (* y x) (* z z)) 3/2) -1) (pow (pow (+ (* y x) (* z z)) -1/2) -1)))) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (pow (+ (* z z) (+ (* y x) 0)) -1) (+ (* z z) (+ (* y x) 0)) (pow (+ (* y x) (* z z)) -1/2)) |
| 2.0ms | x | @ | -inf | ((+ (* z z) (* y x)) (* y x) (+ (* z z) 0) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (- 0 (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ (* y x) 0) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (* (pow (pow (+ (* y x) (* z z)) 3/2) -1) (pow (pow (+ (* y x) (* z z)) -1/2) -1))) (* (pow (pow (+ (* y x) (* z z)) 3/2) -1) (pow (pow (+ (* y x) (* z z)) -1/2) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (* (pow (pow (+ (* y x) (* z z)) 3/2) -1) (pow (pow (+ (* y x) (* z z)) -1/2) -1)))) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (pow (+ (* z z) (+ (* y x) 0)) -1) (+ (* z z) (+ (* y x) 0)) (pow (+ (* y x) (* z z)) -1/2)) |
| 2.0ms | z | @ | inf | ((+ (* z z) (* y x)) (* y x) (+ (* z z) 0) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (- 0 (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ (* y x) 0) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (* (pow (pow (+ (* y x) (* z z)) 3/2) -1) (pow (pow (+ (* y x) (* z z)) -1/2) -1))) (* (pow (pow (+ (* y x) (* z z)) 3/2) -1) (pow (pow (+ (* y x) (* z z)) -1/2) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (* (pow (pow (+ (* y x) (* z z)) 3/2) -1) (pow (pow (+ (* y x) (* z z)) -1/2) -1)))) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (pow (+ (* z z) (+ (* y x) 0)) -1) (+ (* z z) (+ (* y x) 0)) (pow (+ (* y x) (* z z)) -1/2)) |
| 2.0ms | x | @ | 0 | ((+ (* z z) (* y x)) (* y x) (+ (* z z) 0) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (- 0 (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ (* y x) 0) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (* (pow (pow (+ (* y x) (* z z)) 3/2) -1) (pow (pow (+ (* y x) (* z z)) -1/2) -1))) (* (pow (pow (+ (* y x) (* z z)) 3/2) -1) (pow (pow (+ (* y x) (* z z)) -1/2) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (* (pow (pow (+ (* y x) (* z z)) 3/2) -1) (pow (pow (+ (* y x) (* z z)) -1/2) -1)))) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (pow (+ (* z z) (+ (* y x) 0)) -1) (+ (* z z) (+ (* y x) 0)) (pow (+ (* y x) (* z z)) -1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 415 | 1777 |
| 1 | 1281 | 1706 |
| 2 | 4392 | 1669 |
| 0 | 8353 | 1585 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow z 2) |
(+ (* x y) (pow z 2)) |
(* x y) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(* 3 (pow z 2)) |
(+ (* 3 (pow z 2)) (* x y)) |
1 |
(/ 1 (pow z 2)) |
(+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2))) |
(+ (* x (- (/ (* x (pow y 2)) (pow z 6)) (/ y (pow z 4)))) (/ 1 (pow z 2))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 8))) (* -1 (/ (pow y 2) (pow z 6))))) (/ y (pow z 4)))) (/ 1 (pow z 2))) |
(/ 1 z) |
(+ (* -1/2 (/ (* x y) (pow z 3))) (/ 1 z)) |
(+ (* x (+ (* -1/2 (* x (* z (+ (* -1 (/ (pow y 2) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 6))))))) (* -1/2 (/ y (pow z 3))))) (/ 1 z)) |
(+ (* x (+ (* -1/2 (/ y (pow z 3))) (* x (+ (* -1/2 (* x (* z (+ (* 1/2 (/ (* y (+ (* -1 (/ (pow y 2) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 6))))) (pow z 2))) (/ (pow y 3) (pow z 8)))))) (* -1/2 (* z (+ (* -1 (/ (pow y 2) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 6)))))))))) (/ 1 z)) |
(* x (+ y (/ (pow z 2) x))) |
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) |
(* x (+ y (* 3 (/ (pow z 2) x)))) |
(/ 1 (* x y)) |
(/ (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (+ (/ 1 y) (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2)))) x) |
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ (pow z 2) (* x (pow y 2))))) x) |
(sqrt (/ 1 (* x y))) |
(+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2)))) |
(+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (pow z 4))))) |
(+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* -1/2 (* (sqrt (/ y (pow x 7))) (+ (* 1/4 (/ (* x (pow z 4)) (pow y 3))) (/ (pow z 6) (pow y 4))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (pow z 4)))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) |
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) |
(* -1 (/ (- (/ (pow z 2) (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (/ (pow z 4) (pow y 3))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) |
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (pow z 4))) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow y 5))) (pow z 4))) (* 1/2 (* (sqrt (/ y x)) (+ (* -1/4 (/ (* x (pow z 4)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow y 4)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))) |
(+ (* y (- (/ (* (pow x 2) y) (pow z 6)) (/ x (pow z 4)))) (/ 1 (pow z 2))) |
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 8))) (* -1 (/ (pow x 2) (pow z 6))))) (/ x (pow z 4)))) (/ 1 (pow z 2))) |
(+ (* y (+ (* -1/2 (* y (* z (+ (* -1 (/ (pow x 2) (pow z 6))) (* 1/4 (/ (pow x 2) (pow z 6))))))) (* -1/2 (/ x (pow z 3))))) (/ 1 z)) |
(+ (* y (+ (* -1/2 (/ x (pow z 3))) (* y (+ (* -1/2 (* y (* z (+ (* 1/2 (/ (* x (+ (* -1 (/ (pow x 2) (pow z 6))) (* 1/4 (/ (pow x 2) (pow z 6))))) (pow z 2))) (/ (pow x 3) (pow z 8)))))) (* -1/2 (* z (+ (* -1 (/ (pow x 2) (pow z 6))) (* 1/4 (/ (pow x 2) (pow z 6)))))))))) (/ 1 z)) |
(* y (+ x (/ (pow z 2) y))) |
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) |
(* y (+ x (* 3 (/ (pow z 2) y)))) |
(/ (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y) |
(/ (- (+ (/ 1 x) (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y))) y) |
(/ (- (+ (* -1 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ (pow z 2) (* (pow x 2) y)))) y) |
(+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* -1/2 (* (sqrt (/ x (pow y 7))) (+ (* 1/4 (/ (* y (pow z 4)) (pow x 3))) (/ (pow z 6) (pow x 4))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (pow z 4)))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) |
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x)))) |
(* -1 (/ (- (/ (pow z 2) (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* (pow x 3) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* (pow x 4) y)) (/ (pow z 4) (pow x 3))) y)) (/ (pow z 2) (pow x 2))) y)) (/ 1 x)) y)) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ y (pow x 5))) (pow z 4))) (* 1/2 (* (sqrt (/ x y)) (+ (* -1/4 (/ (* y (pow z 4)) (* (pow x 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow x 4)))))) (pow y 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))) |
(* -1 (pow z 2)) |
(+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* (pow x 3) (pow y 3))))) (* 3/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (pow z 2)))))) |
(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* (pow x 3) (pow y 3))))) (* (pow z 2) (+ (* -5/16 (* (sqrt (/ 1 (* (pow x 7) (pow y 7)))) (pow z 2))) (* 3/8 (sqrt (/ 1 (* (pow x 5) (pow y 5)))))))))) |
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) |
(/ (+ 1 (* -1 (/ (* x y) (pow z 2)))) (pow z 2)) |
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (/ (* x y) (pow z 2)))) (pow z 2)) |
(/ (+ 1 (* -1/2 (/ (* x y) (pow z 2)))) z) |
(/ (+ 1 (+ (* -1/2 (/ (* x y) (pow z 2))) (* -1/2 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2)))) (pow z 4))))) z) |
(/ (+ 1 (+ (* -1/2 (/ (* x y) (pow z 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2)))) (pow z 4))) (* -1/2 (/ (+ (* 1/2 (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2))))))) (* (pow x 3) (pow y 3))) (pow z 6)))))) z) |
(/ -1 z) |
(* -1 (/ (+ 1 (* -1/2 (/ (* x y) (pow z 2)))) z)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (* x y) (pow z 2))) (* -1/2 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2)))) (pow z 4))))) z)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (* x y) (pow z 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2)))) (pow z 4))) (* -1/2 (/ (+ (* 1/2 (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2))))))) (* (pow x 3) (pow y 3))) (pow z 6)))))) z)) |
| Outputs |
|---|
(pow z 2) |
(*.f64 z z) |
(+ (* x y) (pow z 2)) |
(fma.f64 x y (*.f64 z z)) |
(* x y) |
(*.f64 x y) |
(+ (* 2 (pow z 2)) (pow z 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y)) |
(* 3 (pow z 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 z z)) |
(+ (* 3 (pow z 2)) (* x y)) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y)) |
1 |
#s(literal 1 binary64) |
(/ 1 (pow z 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
(+ (* -1 (/ (* x y) (pow z 4))) (/ 1 (pow z 2))) |
(fma.f64 (neg.f64 x) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(+ (* x (- (/ (* x (pow y 2)) (pow z 6)) (/ y (pow z 4)))) (/ 1 (pow z 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 y y) (/.f64 x (pow.f64 z #s(literal 6 binary64)))) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) x (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 8))) (* -1 (/ (pow y 2) (pow z 6))))) (/ y (pow z 4)))) (/ 1 (pow z 2))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))) x (*.f64 y (/.f64 y (pow.f64 z #s(literal 6 binary64))))) x (/.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64)))) x (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/2 (/ (* x y) (pow z 3))) (/ 1 z)) |
(fma.f64 (*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y (/.f64 #s(literal 1 binary64) z)) |
(+ (* x (+ (* -1/2 (* x (* z (+ (* -1 (/ (pow y 2) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 6))))))) (* -1/2 (/ y (pow z 3))))) (/ 1 z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 (*.f64 x z) (/.f64 (*.f64 (*.f64 y y) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) z)) |
(+ (* x (+ (* -1/2 (/ y (pow z 3))) (* x (+ (* -1/2 (* x (* z (+ (* 1/2 (/ (* y (+ (* -1 (/ (pow y 2) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 6))))) (pow z 2))) (/ (pow y 3) (pow z 8)))))) (* -1/2 (* z (+ (* -1 (/ (pow y 2) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 6)))))))))) (/ 1 z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 z (fma.f64 x (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 8 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))))) x (/.f64 y (pow.f64 z #s(literal 3 binary64))))) x (/.f64 #s(literal 1 binary64) z)) |
(* x (+ y (/ (pow z 2) x))) |
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(/.f64 (fma.f64 (fma.f64 (/.f64 x z) (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (/.f64 #s(literal -3/4 binary64) (pow.f64 z #s(literal 4 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(/ (+ 1 (+ (* -1/2 (/ (* x y) (pow z 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2)))) (pow z 4))) (* -1/2 (/ (+ (* 1/2 (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2))))))) (* (pow x 3) (pow y 3))) (pow z 6)))))) z) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 y z) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (/.f64 #s(literal -3/4 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -3/4 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 z #s(literal 6 binary64))))) #s(literal 1 binary64)) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(* -1 (/ (+ 1 (* -1/2 (/ (* x y) (pow z 2)))) z)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x y) z) #s(literal 1 binary64)) (neg.f64 z)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (* x y) (pow z 2))) (* -1/2 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2)))) (pow z 4))))) z)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 x z) (/.f64 y z) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (/.f64 #s(literal -3/4 binary64) (pow.f64 z #s(literal 4 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 z)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (* x y) (pow z 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2)))) (pow z 4))) (* -1/2 (/ (+ (* 1/2 (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* 1/4 (* (pow x 2) (pow y 2))))))) (* (pow x 3) (pow y 3))) (pow z 6)))))) z)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 x z) (/.f64 y z) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (/.f64 #s(literal -3/4 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -3/4 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 z #s(literal 6 binary64))))) #s(literal 1 binary64)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 247 |
| 0 | 63 | 220 |
| 1 | 263 | 183 |
| 2 | 2361 | 155 |
| 0 | 8253 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 z z (*.f64 y x)) |
(*.f64 y x) |
(fma.f64 z z #s(literal 0 binary64)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 z z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) |
(*.f64 z z) |
(fma.f64 y x #s(literal 0 binary64)) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) |
#s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) |
(pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 5/4 binary64)) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 1/4 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 z z))) (sqrt.f64 (fma.f64 x y (*.f64 z z)))) |
(*.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 z z))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y (*.f64 z z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (fma.f64 x y (*.f64 z z)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y (*.f64 z z)) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 x y (*.f64 (neg.f64 z) z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 z z (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x y) (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 x y) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (neg.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x y)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 6 binary64))))) (neg.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 z z) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 6 binary64))))) (neg.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (exp.f64 (log.f64 (fma.f64 x y (*.f64 (neg.f64 z) z))))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (exp.f64 (log.f64 (fma.f64 z z (*.f64 (neg.f64 x) y))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x y (*.f64 z z)) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y (*.f64 z z)) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x y) (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 z z) x) y)) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (pow.f64 (*.f64 z (*.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 x y) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x y))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 z z) x) y)) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 z z) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (pow.f64 (*.f64 (*.f64 x y) z) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 (neg.f64 z) z))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 z z (*.f64 (neg.f64 x) y))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -3/2 binary64))) (fma.f64 x y (*.f64 (neg.f64 z) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -3/2 binary64))) (fma.f64 z z (*.f64 (neg.f64 x) y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -3/2 binary64))) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -3/2 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 (fma.f64 x y (*.f64 z z)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 x y (*.f64 z z))) (neg.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 (neg.f64 x) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64)))) |
(/.f64 (fma.f64 x y (*.f64 z z)) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 x y (*.f64 (neg.f64 z) z))) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64))) #s(literal -1/2 binary64) (*.f64 (log.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (*.f64 (log.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64))) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 2 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (log.f64 (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal -1/2 binary64)))) |
Compiled 52 031 to 3 475 computations (93.3% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 363 | 3 | 1 366 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 366 | 10 | 1 376 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.1% | (fma.f64 z z (*.f64 y x)) |
| ✓ | 99.5% | (fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
| 31.2% | (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 x y (*.f64 z z))) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64))))) | |
| ✓ | 30.6% | (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
| ✓ | 98.3% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))) |
| ✓ | 59.6% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) |
| ✓ | 59.6% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| 5.3% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (neg.f64 z) z)) | |
| 38.2% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 z z)) | |
| ✓ | 59.5% | #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
Compiled 559 to 195 computations (65.1% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 z z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (neg.f64 z) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(fma.f64 z z (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) z (fma.f64 z z (*.f64 y x))) |
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (pow (+ (* z z) (+ (* y x) 0)) -1) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 x y (*.f64 z z))) (pow.f64 (fma.f64 x y (*.f64 z z)) #s(literal 3/2 binary64))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) (*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (*.f64 (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
6 calls:
| 13.0ms | (*.f64 z z) |
| 7.0ms | z |
| 5.0ms | y |
| 5.0ms | x |
| 5.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | z |
| 99.5% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 99.5% | 1 | (*.f64 x y) |
| 99.5% | 1 | (*.f64 z z) |
Compiled 24 to 25 computations (-4.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 z z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (neg.f64 z) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(fma.f64 z z (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))) |
6 calls:
| 19.0ms | x |
| 15.0ms | (*.f64 z z) |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | x |
| 98.3% | 1 | y |
| 98.3% | 1 | z |
| 98.3% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 98.3% | 1 | (*.f64 x y) |
| 98.3% | 1 | (*.f64 z z) |
Compiled 24 to 25 computations (-4.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 z z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (neg.f64 z) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(fma.f64 z z (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) |
| Outputs |
|---|
(fma.f64 z z (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) |
6 calls:
| 5.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 3.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 3 | x |
| 83.0% | 3 | y |
| 88.6% | 2 | z |
| 83.1% | 3 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 87.8% | 3 | (*.f64 x y) |
| 88.6% | 2 | (*.f64 z z) |
Compiled 24 to 25 computations (-4.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 z z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (neg.f64 z) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
(fma.f64 z z (*.f64 y x)) |
| Outputs |
|---|
(fma.f64 z z (*.f64 y x)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
2 calls:
| 5.0ms | z |
| 3.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 2 | z |
| 88.6% | 2 | (*.f64 z z) |
Compiled 4 to 7 computations (-75% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 z z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (neg.f64 z) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
6 calls:
| 4.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 2.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.6% | 1 | y |
| 59.6% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 59.6% | 1 | x |
| 59.6% | 1 | (*.f64 x y) |
| 59.6% | 1 | z |
| 59.6% | 1 | (*.f64 z z) |
Compiled 24 to 25 computations (-4.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 z z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (neg.f64 z) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
6 calls:
| 5.0ms | x |
| 2.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.5% | 1 | x |
| 59.5% | 1 | z |
| 59.5% | 1 | y |
| 59.5% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 59.5% | 1 | (*.f64 z z) |
| 59.5% | 1 | (*.f64 x y) |
Compiled 24 to 25 computations (-4.2% saved)
Total -21.5b remaining (-54.4%)
Threshold costs -21.5b (-54.4%)
| Inputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 z z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (neg.f64 z) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 z z)) |
6 calls:
| 3.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (*.f64 x y) |
| 2.0ms | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.2% | 1 | x |
| 38.2% | 1 | z |
| 38.2% | 1 | y |
| 38.2% | 1 | (*.f64 z z) |
| 38.2% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z)) |
| 38.2% | 1 | (*.f64 x y) |
Compiled 24 to 25 computations (-4.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6602479711269113e-7 | 1.7384794266841822e-7 |
Compiled 14 to 14 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6602479711269113e-7 | 1.7384794266841822e-7 |
Compiled 14 to 14 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 162 |
| 1 | 33 | 162 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))) |
(if (<=.f64 (*.f64 z z) #s(literal 6422418416702717/37778931862957161709568 binary64)) (fma.f64 z z (*.f64 y x)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))) |
(if (<=.f64 (*.f64 z z) #s(literal 6422418416702717/37778931862957161709568 binary64)) (fma.f64 z z (*.f64 y x)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 z z)) |
| Outputs |
|---|
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
(fma.f64 y x (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 x y))) |
(if (<=.f64 (*.f64 z z) #s(literal 6422418416702717/37778931862957161709568 binary64)) (fma.f64 z z (*.f64 y x)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))) |
(if (<=.f64 (*.f64 z z) #s(literal 6422418416702717/37778931862957161709568 binary64)) (fma.f64 z z (*.f64 x y)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))) |
(if (<=.f64 (*.f64 z z) #s(literal 6422418416702717/37778931862957161709568 binary64)) (fma.f64 z z (*.f64 y x)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))) |
(if (<=.f64 (*.f64 z z) #s(literal 6422418416702717/37778931862957161709568 binary64)) (fma.f64 z z (*.f64 x y)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z #s(literal 3 binary64)) z)) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 #s(literal 3 binary64) (*.f64 z z))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64))) |
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 247 |
| 0 | 63 | 220 |
| 1 | 263 | 183 |
| 2 | 2361 | 155 |
| 0 | 8253 | 153 |
| 0 | 22 | 103 |
| 0 | 36 | 98 |
| 1 | 152 | 86 |
| 2 | 1173 | 86 |
| 0 | 8298 | 86 |
| 0 | 25 | 138 |
| 0 | 40 | 99 |
| 1 | 178 | 71 |
| 2 | 1713 | 71 |
| 0 | 8394 | 67 |
| 0 | 8 | 36 |
| 0 | 13 | 36 |
| 1 | 55 | 32 |
| 2 | 517 | 26 |
| 3 | 7580 | 26 |
| 0 | 8184 | 23 |
| 0 | 70 | 208 |
| 1 | 244 | 180 |
| 2 | 752 | 180 |
| 3 | 2132 | 180 |
| 4 | 5815 | 180 |
| 0 | 8129 | 161 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 373 to 163 computations (56.3% saved)
(sort x y)
(abs z)
Compiled 500 to 200 computations (60% saved)
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