Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1
Time bar (total: 4.4s)
| 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 11 to 10 computations (9.1% saved)
| 769.0ms | 8 256× | 0 | valid |
ival-mult: 254.0ms (66.2% of total)ival-sub: 115.0ms (30% of total)ival-true: 6.0ms (1.6% of total)exact: 5.0ms (1.3% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 0 | - | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 y #s(literal 4 binary64)) z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 x x) | overflow | 59 | |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) z) | overflow | 31 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 0 |
| - | 0 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 0 | 0 | 254 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 512× | 0 | valid |
Compiled 85 to 36 computations (57.6% saved)
ival-mult: 10.0ms (77.6% of total)ival-sub: 2.0ms (15.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 88 |
| 1 | 99 | 84 |
| 2 | 273 | 81 |
| 3 | 630 | 81 |
| 4 | 965 | 81 |
| 5 | 1093 | 81 |
| 6 | 1137 | 81 |
| 7 | 1137 | 81 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 21 | 9 |
| 2 | 51 | 9 |
| 3 | 101 | 9 |
| 4 | 136 | 9 |
| 5 | 178 | 9 |
| 6 | 238 | 9 |
| 7 | 297 | 9 |
| 8 | 398 | 9 |
| 9 | 453 | 9 |
| 10 | 483 | 9 |
| 0 | 483 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
| Outputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) |
(abs x)
(sort y z)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 4 binary64)) z) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 21 | 24 |
| 2 | 51 | 24 |
| 3 | 101 | 24 |
| 4 | 136 | 24 |
| 5 | 178 | 24 |
| 6 | 238 | 24 |
| 7 | 297 | 24 |
| 8 | 398 | 24 |
| 9 | 453 | 24 |
| 10 | 483 | 24 |
| 0 | 483 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 y #s(literal 4 binary64)) z) |
(*.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
z |
| Outputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 y #s(literal 4 binary64)) z) |
(*.f64 z (*.f64 #s(literal 4 binary64) y)) |
(*.f64 y #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) y) |
y |
#s(literal 4 binary64) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y #s(literal 4 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.2414348846969945 | (*.f64 (*.f64 y #s(literal 4 binary64)) z) | |
| accuracy | 0.40234375000000006 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
| 16.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-mult: 5.0ms (79.5% of total)ival-sub: 1.0ms (15.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
(*.f64 x x) |
(*.f64 (*.f64 y #s(literal 4 binary64)) z) |
(*.f64 y #s(literal 4 binary64)) |
| Outputs |
|---|
(* -4 (* y z)) |
(- (pow x 2) (* 4 (* y z))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2))))) |
(+ (* -4 (* y z)) (pow x 2)) |
(* 4 (* y z)) |
(* 4 y) |
(* y (- (/ (pow x 2) y) (* 4 z))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z)))) |
(* z (- (/ (pow x 2) z) (* 4 y))) |
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((- (* x x) (* (* y 4) z)) (* x x) (* (* y 4) z) (* y 4)) |
| 1.0ms | y | @ | 0 | ((- (* x x) (* (* y 4) z)) (* x x) (* (* y 4) z) (* y 4)) |
| 1.0ms | y | @ | inf | ((- (* x x) (* (* y 4) z)) (* x x) (* (* y 4) z) (* y 4)) |
| 1.0ms | y | @ | -inf | ((- (* x x) (* (* y 4) z)) (* x x) (* (* y 4) z) (* y 4)) |
| 1.0ms | x | @ | inf | ((- (* x x) (* (* y 4) z)) (* x x) (* (* y 4) z) (* y 4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 79 |
| 1 | 96 | 79 |
| 2 | 282 | 79 |
| 3 | 1068 | 79 |
| 4 | 3103 | 79 |
| 5 | 5929 | 79 |
| 6 | 7721 | 79 |
| 0 | 8070 | 72 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (* y z)) |
(- (pow x 2) (* 4 (* y z))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2))))) |
(+ (* -4 (* y z)) (pow x 2)) |
(* 4 (* y z)) |
(* 4 y) |
(* y (- (/ (pow x 2) y) (* 4 z))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z)))) |
(* z (- (/ (pow x 2) z) (* 4 y))) |
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y)))) |
| Outputs |
|---|
(* -4 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -4 binary64)) |
(- (pow x 2) (* 4 (* y z))) |
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2))))) |
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) |
(+ (* -4 (* y z)) (pow x 2)) |
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) |
(* 4 (* y z)) |
(*.f64 #s(literal 4 binary64) (*.f64 z y)) |
(* 4 y) |
(*.f64 #s(literal 4 binary64) y) |
(* y (- (/ (pow x 2) y) (* 4 z))) |
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z)))) |
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) |
(* z (- (/ (pow x 2) z) (* 4 y))) |
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) |
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y)))) |
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 0 | 12 | 20 |
| 1 | 36 | 20 |
| 2 | 242 | 20 |
| 3 | 2285 | 20 |
| 0 | 8420 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
(*.f64 x x) |
(*.f64 (*.f64 y #s(literal 4 binary64)) z) |
(*.f64 y #s(literal 4 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (*.f64 z y) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)))) |
(*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 x x)) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 x x)))))) |
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(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64)) (*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (fma.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)) (*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 z (*.f64 x x)) (*.f64 #s(literal -4 binary64) y))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 z (*.f64 x x)) (*.f64 #s(literal -4 binary64) y)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (fma.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 z (*.f64 x x)) (*.f64 #s(literal -4 binary64) y))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)) (fma.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 z (*.f64 x x)) (*.f64 #s(literal -4 binary64) y)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 z (*.f64 x x)) (*.f64 #s(literal -4 binary64) y))))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 z (*.f64 x x)) (*.f64 #s(literal -4 binary64) y)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (fma.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)) (fma.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 z (*.f64 #s(literal 4 binary64) y))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 #s(literal 4 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 z y) #s(literal -4 binary64))) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 #s(literal 4 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (*.f64 z y)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))) (exp.f64 (log.f64 y))) |
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64))))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1 binary64)) #s(literal 4 binary64)) |
(*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 z y) #s(literal 4 binary64)) |
(*.f64 (*.f64 z #s(literal 4 binary64)) y) |
(*.f64 z (*.f64 #s(literal 4 binary64) y)) |
(*.f64 (*.f64 #s(literal 4 binary64) y) z) |
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 z y) #s(literal 1 binary64))) |
(*.f64 #s(literal 4 binary64) (*.f64 z y)) |
(*.f64 y (*.f64 z #s(literal 4 binary64))) |
(pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) |
(*.f64 #s(literal 4 binary64) y) |
(*.f64 y #s(literal 4 binary64)) |
Compiled 8 139 to 626 computations (92.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 2 | 204 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 203 | 2 | 205 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
| ▶ | 53.8% | #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64))) |
Compiled 23 to 19 computations (17.4% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 (*.f64 z y) #s(literal -4 binary64)) | |
| cost-diff | 0 | #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 44 |
| 0 | 21 | 44 |
| 1 | 38 | 43 |
| 2 | 65 | 43 |
| 3 | 104 | 43 |
| 4 | 140 | 43 |
| 5 | 182 | 43 |
| 6 | 242 | 43 |
| 7 | 304 | 43 |
| 8 | 404 | 43 |
| 9 | 459 | 43 |
| 10 | 489 | 43 |
| 0 | 489 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64))) |
(*.f64 (*.f64 z y) #s(literal -4 binary64)) |
(*.f64 z y) |
z |
y |
#s(literal -4 binary64) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(*.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
y |
(*.f64 x x) |
x |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(*.f64 (*.f64 z y) #s(literal -4 binary64)) |
(*.f64 (*.f64 #s(literal -4 binary64) z) y) |
(*.f64 z y) |
z |
y |
#s(literal -4 binary64) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x)) |
(*.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
y |
(*.f64 x x) |
x |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 #s(literal -4 binary64) z) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.014003759768442016 | (*.f64 (*.f64 z y) #s(literal -4 binary64)) | |
| accuracy | 29.57847140154607 | #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64))) |
| 37.0ms | 256× | 0 | valid |
Compiled 85 to 31 computations (63.5% saved)
ival-mult: 25.0ms (90.5% of total)ival-sub: 1.0ms (3.6% of total)ival-add: 1.0ms (3.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64))) |
(*.f64 (*.f64 z y) #s(literal -4 binary64)) |
(*.f64 z y) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(*.f64 #s(literal -4 binary64) z) |
(*.f64 x x) |
| Outputs |
|---|
(* -4 (* y z)) |
(- (pow x 2) (* 4 (* y z))) |
(+ (* -4 (* y z)) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2))))) |
(* y z) |
(* y (- (/ (pow x 2) y) (* 4 z))) |
(* y (+ (* -4 z) (/ (pow x 2) y))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z)))) |
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z)))) |
(* -4 z) |
(* z (- (/ (pow x 2) z) (* 4 y))) |
(* z (+ (* -4 y) (/ (pow x 2) z))) |
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y)))) |
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) (* x x)) (* -4 z) (* x x)) |
| 1.0ms | z | @ | inf | ((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) (* x x)) (* -4 z) (* x x)) |
| 1.0ms | y | @ | -inf | ((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) (* x x)) (* -4 z) (* x x)) |
| 1.0ms | z | @ | 0 | ((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) (* x x)) (* -4 z) (* x x)) |
| 1.0ms | x | @ | 0 | ((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) (* x x)) (* -4 z) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 113 |
| 1 | 134 | 113 |
| 2 | 393 | 113 |
| 3 | 1203 | 113 |
| 4 | 3343 | 113 |
| 5 | 6789 | 113 |
| 0 | 8159 | 102 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (* y z)) |
(- (pow x 2) (* 4 (* y z))) |
(+ (* -4 (* y z)) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2))))) |
(* y z) |
(* y (- (/ (pow x 2) y) (* 4 z))) |
(* y (+ (* -4 z) (/ (pow x 2) y))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z)))) |
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z)))) |
(* -4 z) |
(* z (- (/ (pow x 2) z) (* 4 y))) |
(* z (+ (* -4 y) (/ (pow x 2) z))) |
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y)))) |
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y)))) |
| Outputs |
|---|
(* -4 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -4 binary64)) |
(- (pow x 2) (* 4 (* y z))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(+ (* -4 (* y z)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* y z) |
(*.f64 z y) |
(* y (- (/ (pow x 2) y) (* 4 z))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* y (+ (* -4 z) (/ (pow x 2) y))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* -4 z) |
(*.f64 #s(literal -4 binary64) z) |
(* z (- (/ (pow x 2) z) (* 4 y))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* z (+ (* -4 y) (/ (pow x 2) z))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 37 |
| 0 | 21 | 37 |
| 1 | 63 | 36 |
| 2 | 421 | 36 |
| 3 | 4831 | 36 |
| 0 | 8952 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64))) |
(*.f64 (*.f64 z y) #s(literal -4 binary64)) |
(*.f64 z y) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(*.f64 #s(literal -4 binary64) z) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64))))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 z (*.f64 #s(literal 4 binary64) y))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 z))) (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y)))) |
(*.f64 (exp.f64 (log.f64 #s(literal -4 binary64))) (exp.f64 (log.f64 (*.f64 z y)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) z)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 (neg.f64 z)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) y))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 #s(literal -4 binary64)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) z))) (exp.f64 (log.f64 y))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) y)))) |
(*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)) |
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 4 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal 4 binary64)) |
(*.f64 (*.f64 z (neg.f64 y)) #s(literal 4 binary64)) |
(*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y)) |
(*.f64 (neg.f64 (*.f64 z y)) #s(literal 4 binary64)) |
(*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)) |
(*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))) |
(*.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal -4 binary64) y) z) |
(*.f64 (*.f64 #s(literal -4 binary64) z) y) |
(*.f64 #s(literal -4 binary64) (*.f64 z y)) |
(*.f64 (*.f64 z y) #s(literal -4 binary64)) |
(*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64)) |
(*.f64 z (*.f64 #s(literal -4 binary64) y)) |
(*.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z)) |
(*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) z)) |
(*.f64 #s(literal 4 binary64) (*.f64 y (neg.f64 z))) |
(*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 z y))) |
(*.f64 y (*.f64 #s(literal -4 binary64) z)) |
(pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))) |
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))))))) |
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))) |
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))))) |
(neg.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))) |
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y))) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(*.f64 z y) |
(*.f64 y z) |
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64))))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) #s(literal 4096 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) #s(literal 3 binary64))))) (fma.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)))) |
(*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)))) |
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(fma.f64 z (*.f64 #s(literal -4 binary64) y) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z) (*.f64 x x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) z) (*.f64 x x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 y (neg.f64 z)) (*.f64 x x)) |
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 z y)) (*.f64 x x)) |
(fma.f64 y (/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) y)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)))))) |
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (*.f64 x x)) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))))) |
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 z (*.f64 #s(literal 4 binary64) y))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal -16 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))))) |
(-.f64 (*.f64 x x) (*.f64 z (*.f64 #s(literal 4 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal -16 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) (*.f64 x x)))))) |
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(*.f64 (neg.f64 z) #s(literal 4 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal 4 binary64))) |
(*.f64 #s(literal -4 binary64) z) |
(*.f64 z #s(literal -4 binary64)) |
(*.f64 #s(literal 4 binary64) (neg.f64 z)) |
(neg.f64 (*.f64 z #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 4 binary64))) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 9 253 to 778 computations (91.6% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 271 | 1 | 272 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 272 | 2 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
| ▶ | 53.8% | #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
Compiled 23 to 19 computations (17.4% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) z) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -4 binary64) z) y) | |
| cost-diff | 0 | #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 0 | 14 | 26 |
| 1 | 27 | 26 |
| 2 | 59 | 26 |
| 3 | 98 | 26 |
| 4 | 135 | 26 |
| 5 | 177 | 26 |
| 6 | 237 | 26 |
| 7 | 299 | 26 |
| 8 | 399 | 26 |
| 9 | 454 | 26 |
| 10 | 484 | 26 |
| 0 | 484 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(*.f64 (*.f64 #s(literal -4 binary64) z) y) |
(*.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
y |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(*.f64 (*.f64 #s(literal -4 binary64) z) y) |
(*.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 (*.f64 #s(literal -4 binary64) z) y) | |
| accuracy | 0.0 | (*.f64 #s(literal -4 binary64) z) | |
| accuracy | 29.57847140154607 | #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
| 21.0ms | 256× | 0 | valid |
Compiled 48 to 25 computations (47.9% saved)
ival-mult: 8.0ms (86.6% of total)ival-sub: 1.0ms (10.8% 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 x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(*.f64 (*.f64 #s(literal -4 binary64) z) y) |
(*.f64 #s(literal -4 binary64) z) |
| Outputs |
|---|
(* -4 (* y z)) |
(- (pow x 2) (* 4 (* y z))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2))))) |
(+ (* -4 (* y z)) (pow x 2)) |
(* y (- (/ (pow x 2) y) (* 4 z))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z)))) |
(* -4 z) |
(* z (- (/ (pow x 2) z) (* 4 y))) |
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((- (* x x) (* (* y 4) z)) (* (* -4 z) y) (* -4 z)) |
| 1.0ms | z | @ | inf | ((- (* x x) (* (* y 4) z)) (* (* -4 z) y) (* -4 z)) |
| 1.0ms | z | @ | 0 | ((- (* x x) (* (* y 4) z)) (* (* -4 z) y) (* -4 z)) |
| 0.0ms | y | @ | -inf | ((- (* x x) (* (* y 4) z)) (* (* -4 z) y) (* -4 z)) |
| 0.0ms | y | @ | inf | ((- (* x x) (* (* y 4) z)) (* (* -4 z) y) (* -4 z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 74 |
| 1 | 96 | 74 |
| 2 | 282 | 74 |
| 3 | 1068 | 74 |
| 4 | 3118 | 74 |
| 5 | 5947 | 74 |
| 6 | 7739 | 74 |
| 0 | 8081 | 67 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (* y z)) |
(- (pow x 2) (* 4 (* y z))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2))))) |
(+ (* -4 (* y z)) (pow x 2)) |
(* y (- (/ (pow x 2) y) (* 4 z))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z)))) |
(* -4 z) |
(* z (- (/ (pow x 2) z) (* 4 y))) |
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y)))) |
| Outputs |
|---|
(* -4 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -4 binary64)) |
(- (pow x 2) (* 4 (* y z))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(+ (* -4 (* y z)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* y (- (/ (pow x 2) y) (* 4 z))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* -4 z) |
(*.f64 #s(literal -4 binary64) z) |
(* z (- (/ (pow x 2) z) (* 4 y))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 23 |
| 0 | 14 | 23 |
| 1 | 42 | 23 |
| 2 | 250 | 23 |
| 3 | 2284 | 23 |
| 0 | 8335 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(*.f64 (*.f64 #s(literal -4 binary64) z) y) |
(*.f64 #s(literal -4 binary64) z) |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)) |
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 4 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal 4 binary64)) |
(*.f64 (*.f64 z (neg.f64 y)) #s(literal 4 binary64)) |
(*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y)) |
(*.f64 (neg.f64 (*.f64 z y)) #s(literal 4 binary64)) |
(*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)) |
(*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))) |
(*.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y)) |
(*.f64 (*.f64 z y) #s(literal -4 binary64)) |
(*.f64 (*.f64 #s(literal -4 binary64) y) z) |
(*.f64 (*.f64 #s(literal -4 binary64) z) y) |
(*.f64 #s(literal -4 binary64) (*.f64 z y)) |
(*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64)) |
(*.f64 z (*.f64 #s(literal -4 binary64) y)) |
(*.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z)) |
(*.f64 #s(literal 4 binary64) (*.f64 y (neg.f64 z))) |
(*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) z)) |
(*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 z y))) |
(*.f64 y (*.f64 #s(literal -4 binary64) z)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -4 binary64) z) y))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))) (neg.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))))) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)))) |
(/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))))) |
(/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))))))) |
(/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))) |
(neg.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(*.f64 (neg.f64 z) #s(literal 4 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal 4 binary64))) |
(*.f64 #s(literal -4 binary64) z) |
(*.f64 z #s(literal -4 binary64)) |
(*.f64 #s(literal 4 binary64) (neg.f64 z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 z z) (*.f64 #s(literal 0 binary64) (*.f64 z #s(literal 4 binary64)))))) |
(neg.f64 (*.f64 z #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 4 binary64))) |
Compiled 899 to 152 computations (83.1% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 45 | 1 | 46 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 45 | 3 | 48 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
| ✓ | 53.8% | #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
| ▶ | 56.4% | #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
Compiled 36 to 29 computations (19.4% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 0 | 11 | 17 |
| 1 | 20 | 17 |
| 2 | 50 | 17 |
| 3 | 100 | 17 |
| 4 | 137 | 17 |
| 5 | 179 | 17 |
| 6 | 239 | 17 |
| 7 | 299 | 17 |
| 8 | 399 | 17 |
| 9 | 454 | 17 |
| 10 | 484 | 17 |
| 0 | 484 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
(*.f64 x x) |
x |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
(*.f64 x x) |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 27.87942782769285 | #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
| 13.0ms | 256× | 0 | valid |
Compiled 32 to 20 computations (37.5% saved)
ival-mult: 5.0ms (76.1% of total)ival-sub: 1.0ms (15.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(* -4 (* y z)) |
(- (pow x 2) (* 4 (* y z))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2))))) |
(+ (* -4 (* y z)) (pow x 2)) |
(* y (- (/ (pow x 2) y) (* 4 z))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z)))) |
(* z (- (/ (pow x 2) z) (* 4 y))) |
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | ((- (* x x) (* (* y 4) z)) (* x x)) |
| 0.0ms | x | @ | -inf | ((- (* x x) (* (* y 4) z)) (* x x)) |
| 0.0ms | x | @ | 0 | ((- (* x x) (* (* y 4) z)) (* x x)) |
| 0.0ms | z | @ | -inf | ((- (* x x) (* (* y 4) z)) (* x x)) |
| 0.0ms | y | @ | -inf | ((- (* x x) (* (* y 4) z)) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 71 |
| 1 | 96 | 71 |
| 2 | 282 | 71 |
| 3 | 1068 | 71 |
| 4 | 3118 | 71 |
| 5 | 5947 | 71 |
| 6 | 7739 | 71 |
| 0 | 8081 | 64 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (* y z)) |
(- (pow x 2) (* 4 (* y z))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2))))) |
(+ (* -4 (* y z)) (pow x 2)) |
(* y (- (/ (pow x 2) y) (* 4 z))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z)))) |
(* z (- (/ (pow x 2) z) (* 4 y))) |
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y)))) |
| Outputs |
|---|
(* -4 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -4 binary64)) |
(- (pow x 2) (* 4 (* y z))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(+ (* -4 (* y z)) (pow x 2)) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* y (- (/ (pow x 2) y) (* 4 z))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* z (- (/ (pow x 2) z) (* 4 y))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 0 | 11 | 16 |
| 1 | 35 | 16 |
| 2 | 241 | 16 |
| 3 | 2274 | 16 |
| 0 | 8407 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 151 to 35 computations (76.8% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 10 | 0 | 10 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 10 | 3 | 13 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
| ✓ | 53.8% | #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
| ✓ | 56.4% | #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
Compiled 96 to 51 computations (46.9% saved)
| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
7 calls:
| 3.0ms | y |
| 2.0ms | (*.f64 y #s(literal 4 binary64)) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
| 100.0% | 1 | (*.f64 x x) |
| 100.0% | 1 | (*.f64 (*.f64 y #s(literal 4 binary64)) z) |
| 100.0% | 1 | (*.f64 y #s(literal 4 binary64)) |
Compiled 23 to 32 computations (-39.1% saved)
| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64))) |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) |
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
7 calls:
| 2.0ms | y |
| 2.0ms | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
| 2.0ms | (*.f64 y #s(literal 4 binary64)) |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.6% | 2 | x |
| 72.8% | 3 | y |
| 71.6% | 3 | z |
| 81.5% | 2 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
| 86.6% | 2 | (*.f64 x x) |
| 74.7% | 3 | (*.f64 (*.f64 y #s(literal 4 binary64)) z) |
| 72.8% | 3 | (*.f64 y #s(literal 4 binary64)) |
Compiled 23 to 32 computations (-39.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
7 calls:
| 1.0ms | (*.f64 y #s(literal 4 binary64)) |
| 1.0ms | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.4% | 1 | z |
| 56.4% | 1 | y |
| 56.4% | 1 | (*.f64 y #s(literal 4 binary64)) |
| 56.4% | 1 | (*.f64 (*.f64 y #s(literal 4 binary64)) z) |
| 56.4% | 1 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)) |
| 56.4% | 1 | x |
| 56.4% | 1 | (*.f64 x x) |
Compiled 23 to 32 computations (-39.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 4.633849734565948e-86 | 2.8662518024028687e-80 |
| 6.0ms | 144× | 0 | valid |
Compiled 246 to 221 computations (10.2% saved)
ival-mult: 2.0ms (71.8% of total)ival-sub: 1.0ms (35.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 55 |
| 1 | 27 | 55 |
| 2 | 56 | 55 |
| 3 | 107 | 55 |
| 4 | 153 | 55 |
| 5 | 208 | 55 |
| 6 | 353 | 55 |
| 7 | 4705 | 55 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(if (<=.f64 (*.f64 x x) #s(literal 3203980553881365/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
| Outputs |
|---|
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (*.f64 x x)) |
(if (<=.f64 (*.f64 x x) #s(literal 3203980553881365/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 0 | 12 | 20 |
| 1 | 36 | 20 |
| 2 | 242 | 20 |
| 3 | 2285 | 20 |
| 0 | 8420 | 19 |
| 0 | 36 | 79 |
| 1 | 96 | 79 |
| 2 | 282 | 79 |
| 3 | 1068 | 79 |
| 4 | 3103 | 79 |
| 5 | 5929 | 79 |
| 6 | 7721 | 79 |
| 0 | 8070 | 72 |
| 0 | 15 | 37 |
| 0 | 21 | 37 |
| 1 | 63 | 36 |
| 2 | 421 | 36 |
| 3 | 4831 | 36 |
| 0 | 8952 | 36 |
| 0 | 36 | 74 |
| 1 | 96 | 74 |
| 2 | 282 | 74 |
| 3 | 1068 | 74 |
| 4 | 3118 | 74 |
| 5 | 5947 | 74 |
| 6 | 7739 | 74 |
| 0 | 8081 | 67 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 138 to 91 computations (34.1% saved)
(abs x)
Compiled 176 to 94 computations (46.6% saved)
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