
Time bar (total: 6.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 323.0ms | 8 256× | 0 | valid |
ival-mult: 68.0ms (38.1% of total)ival-div: 56.0ms (31.4% of total)ival-sub: 38.0ms (21.3% of total)exact: 8.0ms (4.5% of total)ival-true: 5.0ms (2.8% of total)ival-assert: 3.0ms (1.7% of total)| 2× | egg-herbie |
| 40× | associate-/l* |
| 38× | associate-*r* |
| 36× | distribute-lft-neg-in |
| 32× | sub-neg |
| 30× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 21 |
| 1 | 33 | 21 |
| 2 | 71 | 21 |
| 3 | 168 | 21 |
| 4 | 294 | 21 |
| 5 | 372 | 21 |
| 6 | 398 | 21 |
| 7 | 406 | 21 |
| 0 | 6 | 7 |
| 1 | 13 | 7 |
| 2 | 19 | 7 |
| 3 | 21 | 7 |
| 0 | 21 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (- (* x x) 3) 6) |
| Outputs |
|---|
(/ (- (* x x) 3) 6) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
| Inputs |
|---|
(/ (- (* x x) 3) 6) |
(/ (- (* (neg x) (neg x)) 3) 6) |
(neg (/ (- (* (neg x) (neg x)) 3) 6)) |
| Outputs |
|---|
(/ (- (* x x) 3) 6) |
(+ (* x (* x 1/6)) -1/2) |
(/ (- (* (neg x) (neg x)) 3) 6) |
(+ (* x (* x 1/6)) -1/2) |
(neg (/ (- (* (neg x) (neg x)) 3) 6)) |
(+ 1/2 (* x (* x -1/6))) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 23.0ms | 512× | 0 | valid |
Compiled 56 to 28 computations (50% saved)
ival-mult: 5.0ms (43.1% of total)ival-div: 3.0ms (25.9% of total)ival-sub: 2.0ms (17.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 8× | +-lowering-+.f64 |
| 8× | +-lowering-+.f32 |
| 6× | /-lowering-/.f32 |
| 6× | /-lowering-/.f64 |
| 6× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 1 | 13 | 18 |
| 2 | 19 | 18 |
| 3 | 21 | 18 |
| 0 | 21 | 16 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (- (* x x) 3) 6) |
(- (* x x) 3) |
(* x x) |
x |
3 |
6 |
| Outputs |
|---|
(/ (- (* x x) 3) 6) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(- (* x x) 3) |
(fma.f64 x x #s(literal -3 binary64)) |
(* x x) |
(*.f64 x x) |
x |
3 |
#s(literal 3 binary64) |
6 |
#s(literal 6 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 13.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-div: 4.0ms (56.1% of total)ival-mult: 2.0ms (28.1% of total)ival-sub: 1.0ms (14% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (* x x) 3)> |
#<alt (/ (- (* x x) 3) 6)> |
#<alt (* x x)> |
| Outputs |
|---|
#<alt -3> |
#<alt (- (pow x 2) 3)> |
#<alt (- (pow x 2) 3)> |
#<alt (- (pow x 2) 3)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (- (* x x) 3) |
| 0.0ms | x | @ | 0 | (/ (- (* x x) 3) 6) |
| 0.0ms | x | @ | 0 | (- (* x x) 3) |
| 0.0ms | x | @ | inf | (/ (- (* x x) 3) 6) |
| 0.0ms | x | @ | inf | (* x x) |
| 1× | batch-egg-rewrite |
| 5 168× | /-lowering-/.f32 |
| 5 168× | /-lowering-/.f64 |
| 4 318× | *-lowering-*.f32 |
| 4 318× | *-lowering-*.f64 |
| 4 062× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 39 | 15 |
| 2 | 227 | 15 |
| 3 | 1832 | 15 |
| 0 | 8685 | 13 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* x x) 3) |
(/ (- (* x x) 3) 6) |
(* x x) |
| Outputs |
|---|
(+.f64 (*.f64 x x) #s(literal -3 binary64)) |
(+.f64 #s(literal -3 binary64) (*.f64 x x)) |
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) |
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -3 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1 binary64))) |
(-.f64 (*.f64 x x) #s(literal 3 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))) (/.f64 #s(literal 27 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (/.f64 #s(literal 27 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (fma.f64 x x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) (fma.f64 x x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64))))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64)))))) |
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(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64))))) (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))))) (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (fma.f64 x x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -19683 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -19683 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) #s(literal 6 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -81 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) (fma.f64 x x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -81 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) #s(literal 6 binary64))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64))))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 x x #s(literal -3 binary64))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64))))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))))) (-.f64 #s(literal 3 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64))))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) (/.f64 #s(literal -1/6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) (/.f64 #s(literal -1/6 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64))))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 x x) |
| 1× | egg-herbie |
| 4 388× | *-lowering-*.f32 |
| 4 388× | *-lowering-*.f64 |
| 2 828× | accelerator-lowering-fma.f32 |
| 2 828× | accelerator-lowering-fma.f64 |
| 1 846× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 162 |
| 1 | 43 | 162 |
| 2 | 98 | 162 |
| 3 | 235 | 162 |
| 4 | 748 | 162 |
| 5 | 1583 | 162 |
| 6 | 2320 | 162 |
| 7 | 3495 | 162 |
| 8 | 4221 | 162 |
| 9 | 5328 | 162 |
| 10 | 6382 | 162 |
| 11 | 7111 | 162 |
| 0 | 8024 | 144 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-3 |
(- (pow x 2) 3) |
(- (pow x 2) 3) |
(- (pow x 2) 3) |
(pow x 2) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
-3 |
#s(literal -3 binary64) |
(- (pow x 2) 3) |
(fma.f64 x x #s(literal -3 binary64)) |
(- (pow x 2) 3) |
(fma.f64 x x #s(literal -3 binary64)) |
(- (pow x 2) 3) |
(fma.f64 x x #s(literal -3 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 0 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 0 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
Compiled 24 103 to 1 649 computations (93.2% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 543 | 9 | 552 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 544 | 9 | 553 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
| 99.8% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) | |
| 56.6% | (pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| ▶ | 62.7% | (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
| 67.5% | (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64)) | |
| ▶ | 54.6% | (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (*.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
| ▶ | 57.0% | (/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64)) |
| 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) | |
| ▶ | 43.0% | #s(literal -1/2 binary64) |
Compiled 224 to 140 computations (37.5% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (*.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
| ✓ | cost-diff | 768 | (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 64 | (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 64 | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
| 484× | accelerator-lowering-fma.f32 |
| 484× | accelerator-lowering-fma.f64 |
| 230× | *-lowering-*.f32 |
| 230× | *-lowering-*.f64 |
| 208× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 162 |
| 1 | 68 | 140 |
| 2 | 167 | 140 |
| 3 | 430 | 140 |
| 4 | 499 | 140 |
| 5 | 518 | 140 |
| 6 | 518 | 140 |
| 0 | 518 | 128 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (* x x) 1/6) -1/2) |
(* x x) |
x |
1/6 |
-1/2 |
-1/2 |
(/ (+ (* x x) 0) 6) |
(+ (* x x) 0) |
x |
0 |
6 |
(/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2)) |
(+ (* (* x (* x (* x x))) 1/36) -1/4) |
(* x (* x (* x x))) |
x |
(* x (* x x)) |
(* x x) |
1/36 |
-1/4 |
(+ (* x (* x 1/6)) 1/2) |
(* x 1/6) |
1/6 |
1/2 |
(/ (+ (* (* x x) (* x (* x (* x x)))) -27) (* 6 (+ (* x (* x (* x x))) (+ (* (* x x) 3) 9)))) |
(+ (* (* x x) (* x (* x (* x x)))) -27) |
(* x x) |
x |
(* x (* x (* x x))) |
(* x (* x x)) |
-27 |
(* 6 (+ (* x (* x (* x x))) (+ (* (* x x) 3) 9))) |
6 |
(+ (* x (* x (* x x))) (+ (* (* x x) 3) 9)) |
(+ (* (* x x) 3) 9) |
3 |
9 |
| Outputs |
|---|
(+ (* (* x x) 1/6) -1/2) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
1/6 |
#s(literal 1/6 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
(/ (+ (* x x) 0) 6) |
(/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
6 |
#s(literal 6 binary64) |
(/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2)) |
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(+ (* (* x (* x (* x x))) 1/36) -1/4) |
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) |
(* x (* x (* x x))) |
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(* x (* x x)) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
1/36 |
#s(literal 1/36 binary64) |
-1/4 |
#s(literal -1/4 binary64) |
(+ (* x (* x 1/6)) 1/2) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ (* (* x x) (* x (* x (* x x)))) -27) (* 6 (+ (* x (* x (* x x))) (+ (* (* x x) 3) 9)))) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -27 binary64)) (fma.f64 #s(literal 6 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64))) |
(+ (* (* x x) (* x (* x (* x x)))) -27) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -27 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(* x (* x (* x x))) |
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (* x x)) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
-27 |
#s(literal -27 binary64) |
(* 6 (+ (* x (* x (* x x))) (+ (* (* x x) 3) 9))) |
(fma.f64 #s(literal 6 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64)) |
6 |
#s(literal 6 binary64) |
(+ (* x (* x (* x x))) (+ (* (* x x) 3) 9)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(+ (* (* x x) 3) 9) |
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 9 binary64)) |
3 |
#s(literal 3 binary64) |
9 |
#s(literal 9 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 60.7% | (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (*.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 68.0% | (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
| 67.0ms | 256× | 0 | valid |
Compiled 178 to 33 computations (81.5% saved)
ival-add: 17.0ms (32.6% of total)const: 15.0ms (28.8% of total)ival-mult: 14.0ms (26.9% of total)ival-div: 5.0ms (9.6% of total)exact: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* x x) 1/6) -1/2)> |
#<alt (* x x)> |
#<alt (/ (+ (* x x) 0) 6)> |
#<alt (+ (* x x) 0)> |
#<alt (+ (* (* x (* x (* x x))) 1/36) -1/4)> |
#<alt (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2))> |
#<alt (* x 1/6)> |
#<alt (* x (* x (* x x)))> |
#<alt (+ (* x (* x (* x x))) (+ (* (* x x) 3) 9))> |
#<alt (/ (+ (* (* x x) (* x (* x (* x x)))) -27) (* 6 (+ (* x (* x (* x x))) (+ (* (* x x) 3) 9))))> |
#<alt (+ (* (* x x) (* x (* x (* x x)))) -27)> |
#<alt (+ (* (* x x) 3) 9)> |
#<alt (* x (* x x))> |
#<alt (+ (* x (* x 1/6)) 1/2)> |
| Outputs |
|---|
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt -1/4> |
#<alt (- (* 1/36 (pow x 4)) 1/4)> |
#<alt (- (* 1/36 (pow x 4)) 1/4)> |
#<alt (- (* 1/36 (pow x 4)) 1/4)> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))> |
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt 9> |
#<alt (+ 9 (* 3 (pow x 2)))> |
#<alt (+ 9 (* (pow x 2) (+ 3 (pow x 2))))> |
#<alt (+ 9 (* (pow x 2) (+ 3 (pow x 2))))> |
#<alt (pow x 4)> |
#<alt (* (pow x 4) (+ 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))> |
#<alt (pow x 4)> |
#<alt (* (pow x 4) (+ 1 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))))> |
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt -27> |
#<alt (- (pow x 6) 27)> |
#<alt (- (pow x 6) 27)> |
#<alt (- (pow x 6) 27)> |
#<alt (pow x 6)> |
#<alt (* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6)))))> |
#<alt (pow x 6)> |
#<alt (* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6)))))> |
#<alt 9> |
#<alt (+ 9 (* 3 (pow x 2)))> |
#<alt (+ 9 (* 3 (pow x 2)))> |
#<alt (+ 9 (* 3 (pow x 2)))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2)))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (+ 1/2 (* 1/6 (pow x 2)))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+ (* x (* x (* x x))) (+ (* (* x x) 3) 9)) |
| 1.0ms | x | @ | inf | (/ (+ (* (* x x) (* x (* x (* x x)))) -27) (* 6 (+ (* x (* x (* x x))) (+ (* (* x x) 3) 9)))) |
| 1.0ms | x | @ | inf | (/ (+ (* x x) 0) 6) |
| 0.0ms | x | @ | 0 | (/ (+ (* (* x x) (* x (* x (* x x)))) -27) (* 6 (+ (* x (* x (* x x))) (+ (* (* x x) 3) 9)))) |
| 0.0ms | x | @ | inf | (+ (* (* x (* x (* x x))) 1/36) -1/4) |
| 1× | batch-egg-rewrite |
| 8 636× | accelerator-lowering-fma.f32 |
| 8 636× | accelerator-lowering-fma.f64 |
| 4 904× | *-lowering-*.f32 |
| 4 904× | *-lowering-*.f64 |
| 4 650× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 106 |
| 1 | 193 | 90 |
| 2 | 1619 | 90 |
| 0 | 8310 | 81 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x x) 1/6) -1/2) |
(* x x) |
(/ (+ (* x x) 0) 6) |
(+ (* x x) 0) |
(+ (* (* x (* x (* x x))) 1/36) -1/4) |
(/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2)) |
(* x 1/6) |
(* x (* x (* x x))) |
(+ (* x (* x (* x x))) (+ (* (* x x) 3) 9)) |
(/ (+ (* (* x x) (* x (* x (* x x)))) -27) (* 6 (+ (* x (* x (* x x))) (+ (* (* x x) 3) 9)))) |
(+ (* (* x x) (* x (* x (* x x)))) -27) |
(+ (* (* x x) 3) 9) |
(* x (* x x)) |
(+ (* x (* x 1/6)) 1/2) |
| Outputs |
|---|
(+.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x)) #s(literal 1/1296 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x)) #s(literal 1/1296 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/216 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)))))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x) (/.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x x) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 x (*.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) x) (/.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 6 binary64)) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 6 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 6 binary64)) (/.f64 x (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x (*.f64 #s(literal 6 binary64) x)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x (*.f64 #s(literal 6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) x) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 6 binary64) x)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 #s(literal 6 binary64) x)) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 #s(literal 6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 6 binary64) x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) #s(literal -1/2 binary64)) |
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(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x)) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/144 binary64))))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (/.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x)) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/144 binary64))))) (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (/.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x)) #s(literal 1/1296 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1/144 binary64))))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) |
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(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (/.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) x)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (/.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
| 1× | egg-herbie |
| 6 202× | accelerator-lowering-fma.f32 |
| 6 202× | accelerator-lowering-fma.f64 |
| 3 388× | *-lowering-*.f32 |
| 3 388× | *-lowering-*.f64 |
| 1 922× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 838 |
| 1 | 138 | 838 |
| 2 | 300 | 838 |
| 3 | 843 | 834 |
| 4 | 2479 | 834 |
| 5 | 4610 | 834 |
| 6 | 7137 | 834 |
| 0 | 8063 | 765 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
-1/4 |
(- (* 1/36 (pow x 4)) 1/4) |
(- (* 1/36 (pow x 4)) 1/4) |
(- (* 1/36 (pow x 4)) 1/4) |
(* 1/36 (pow x 4)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(* 1/36 (pow x 4)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
9 |
(+ 9 (* 3 (pow x 2))) |
(+ 9 (* (pow x 2) (+ 3 (pow x 2)))) |
(+ 9 (* (pow x 2) (+ 3 (pow x 2)))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4))))) |
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4))))) |
(pow x 4) |
(* (pow x 4) (+ 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4))))) |
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4))))) |
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
-27 |
(- (pow x 6) 27) |
(- (pow x 6) 27) |
(- (pow x 6) 27) |
(pow x 6) |
(* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6))))) |
(* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6))))) |
(* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6))))) |
(pow x 6) |
(* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6))))) |
(* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6))))) |
(* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6))))) |
9 |
(+ 9 (* 3 (pow x 2))) |
(+ 9 (* 3 (pow x 2))) |
(+ 9 (* 3 (pow x 2))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
1/2 |
(+ 1/2 (* 1/6 (pow x 2))) |
(+ 1/2 (* 1/6 (pow x 2))) |
(+ 1/2 (* 1/6 (pow x 2))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* 1/36 (pow x 4)) 1/4) |
(fma.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) #s(literal -1/4 binary64)) |
(- (* 1/36 (pow x 4)) 1/4) |
(fma.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) #s(literal -1/4 binary64)) |
(- (* 1/36 (pow x 4)) 1/4) |
(fma.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) #s(literal -1/4 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64))) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) #s(literal -1/4 binary64)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) #s(literal -1/4 binary64)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) #s(literal -1/4 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64))) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) #s(literal -1/4 binary64)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) #s(literal -1/4 binary64)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) #s(literal -1/4 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
9 |
#s(literal 9 binary64) |
(+ 9 (* 3 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(+ 9 (* (pow x 2) (+ 3 (pow x 2)))) |
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(+ 9 (* (pow x 2) (+ 3 (pow x 2)))) |
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* (pow x 4) (+ 1 (* 3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64))) |
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* (pow x 4) (+ 1 (* 3 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64))) |
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(* (pow x 4) (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
-27 |
#s(literal -27 binary64) |
(- (pow x 6) 27) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) |
(- (pow x 6) 27) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) |
(- (pow x 6) 27) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) |
(pow x 6) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) |
(* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) |
(* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) |
(pow x 6) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) |
(* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) |
(* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) |
9 |
#s(literal 9 binary64) |
(+ 9 (* 3 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(+ 9 (* 3 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(+ 9 (* 3 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(* 3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(* (pow x 2) (+ 3 (* 9 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
Compiled 118 458 to 6 571 computations (94.5% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 697 | 8 | 2 705 |
| Fresh | 3 | 1 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 703 | 11 | 2 714 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 46.4% | (fma.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
| ✓ | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
| ▶ | 99.8% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| 57.0% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) | |
| ▶ | 56.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
| 23.3% | (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x #s(literal 6 binary64)))) | |
| 24.0% | (*.f64 (/.f64 x (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) | |
| 56.9% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) | |
| ▶ | 57.0% | (*.f64 x (/.f64 x #s(literal 6 binary64))) |
| ▶ | 56.9% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | 43.0% | #s(literal -1/2 binary64) |
Compiled 205 to 115 computations (43.9% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 384 | (/.f64 x (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | cost-diff | 1408 | (*.f64 (/.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | cost-diff | 1024 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
| ✓ | cost-diff | -64 | (*.f64 x (/.f64 x #s(literal 6 binary64))) |
| ✓ | cost-diff | 320 | (/.f64 x #s(literal 6 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | -64 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | -64 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| 5 916× | *-lowering-*.f32 |
| 5 916× | *-lowering-*.f64 |
| 2 632× | accelerator-lowering-fma.f32 |
| 2 632× | accelerator-lowering-fma.f64 |
| 2 140× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 77 |
| 1 | 50 | 75 |
| 2 | 113 | 73 |
| 3 | 294 | 73 |
| 4 | 493 | 73 |
| 5 | 2292 | 73 |
| 6 | 3234 | 73 |
| 7 | 3723 | 73 |
| 8 | 4506 | 73 |
| 9 | 4779 | 73 |
| 10 | 4912 | 73 |
| 11 | 5038 | 73 |
| 12 | 5693 | 73 |
| 13 | 5962 | 73 |
| 14 | 7155 | 73 |
| 15 | 7601 | 73 |
| 16 | 7791 | 73 |
| 17 | 7920 | 73 |
| 0 | 8014 | 71 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x 1/6) x) -1/2) |
(* x 1/6) |
x |
1/6 |
-1/2 |
(* 1/6 (* x x)) |
1/6 |
(* x x) |
x |
(* x (/ x 6)) |
x |
(/ x 6) |
6 |
(/ 1 (/ 6 (+ (* x x) 0))) |
1 |
(/ 6 (+ (* x x) 0)) |
6 |
(+ (* x x) 0) |
x |
0 |
(+ (* (* (/ x (+ (* x x) 0)) (* x (+ (* x x) 0))) 1/6) -1/2) |
(* (/ x (+ (* x x) 0)) (* x (+ (* x x) 0))) |
(/ x (+ (* x x) 0)) |
x |
(+ (* x x) 0) |
0 |
(* x (+ (* x x) 0)) |
1/6 |
-1/2 |
| Outputs |
|---|
(+ (* (* x 1/6) x) -1/2) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* x 1/6) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) |
x |
1/6 |
#s(literal 1/6 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
(* 1/6 (* x x)) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(* x (/ x 6)) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(/ x 6) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) |
6 |
#s(literal 6 binary64) |
(/ 1 (/ 6 (+ (* x x) 0))) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 6 (+ (* x x) 0)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
6 |
#s(literal 6 binary64) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(+ (* (* (/ x (+ (* x x) 0)) (* x (+ (* x x) 0))) 1/6) -1/2) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* (/ x (+ (* x x) 0)) (* x (+ (* x x) 0))) |
(fma.f64 x x #s(literal 0 binary64)) |
(/ x (+ (* x x) 0)) |
(/.f64 #s(literal 1 binary64) x) |
x |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(* x (+ (* x x) 0)) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 86.3% | (*.f64 (/.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
| ✓ | accuracy | 55.7% | (/.f64 x (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal 6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (/.f64 x #s(literal 6 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| 60.0ms | 256× | 0 | valid |
Compiled 105 to 23 computations (78.1% saved)
ival-div: 28.0ms (58.7% of total)ival-mult: 11.0ms (23% of total)const: 5.0ms (10.5% of total)ival-add: 3.0ms (6.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* x 1/6) x) -1/2)> |
#<alt (* x 1/6)> |
#<alt (* 1/6 (* x x))> |
#<alt (* x x)> |
#<alt (/ x 6)> |
#<alt (* x (/ x 6))> |
#<alt (/ 1 (/ 6 (+ (* x x) 0)))> |
#<alt (/ 6 (+ (* x x) 0))> |
#<alt (+ (* x x) 0)> |
#<alt (* (/ x (+ (* x x) 0)) (* x (+ (* x x) 0)))> |
#<alt (/ x (+ (* x x) 0))> |
#<alt (+ (* (* (/ x (+ (* x x) 0)) (* x (+ (* x x) 0))) 1/6) -1/2)> |
#<alt (* x (+ (* x x) 0))> |
| Outputs |
|---|
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ 6 (+ (* x x) 0)) |
| 0.0ms | x | @ | -inf | (/ x (+ (* x x) 0)) |
| 0.0ms | x | @ | inf | (/ 6 (+ (* x x) 0)) |
| 0.0ms | x | @ | 0 | (/ x (+ (* x x) 0)) |
| 0.0ms | x | @ | -inf | (+ (* (* x 1/6) x) -1/2) |
| 1× | batch-egg-rewrite |
| 10 084× | accelerator-lowering-fma.f32 |
| 10 084× | accelerator-lowering-fma.f64 |
| 4 514× | *-lowering-*.f32 |
| 4 514× | *-lowering-*.f64 |
| 2 748× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 59 |
| 1 | 118 | 57 |
| 2 | 962 | 55 |
| 0 | 8472 | 53 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x 1/6) x) -1/2) |
(* x 1/6) |
(* 1/6 (* x x)) |
(* x x) |
(/ x 6) |
(* x (/ x 6)) |
(/ 1 (/ 6 (+ (* x x) 0))) |
(/ 6 (+ (* x x) 0)) |
(+ (* x x) 0) |
(* (/ x (+ (* x x) 0)) (* x (+ (* x x) 0))) |
(/ x (+ (* x x) 0)) |
(+ (* (* (/ x (+ (* x x) 0)) (* x (+ (* x x) 0))) 1/6) -1/2) |
(* x (+ (* x x) 0)) |
| Outputs |
|---|
(+.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal 0 binary64))) |
(-.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
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(*.f64 (/.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x)) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/4 binary64))) |
| 1× | egg-herbie |
| 3 516× | *-lowering-*.f32 |
| 3 516× | *-lowering-*.f64 |
| 2 780× | accelerator-lowering-fma.f32 |
| 2 780× | accelerator-lowering-fma.f64 |
| 1 916× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 640 |
| 1 | 36 | 640 |
| 2 | 67 | 640 |
| 3 | 140 | 640 |
| 4 | 384 | 640 |
| 5 | 720 | 640 |
| 6 | 1179 | 640 |
| 7 | 2206 | 640 |
| 8 | 3641 | 640 |
| 9 | 4674 | 640 |
| 10 | 5824 | 640 |
| 11 | 7288 | 640 |
| 0 | 8192 | 622 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 x) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(pow x 3) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
Compiled 60 102 to 3 368 computations (94.4% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 514 | 2 | 2 516 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 518 | 9 | 2 527 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
| ✓ | 99.8% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| ▶ | 57.0% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ▶ | 57.0% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ▶ | 56.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 6 binary64))) |
| ▶ | 56.9% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | 57.0% | (*.f64 x (/.f64 x #s(literal 6 binary64))) |
| ✓ | 56.9% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | 43.0% | #s(literal -1/2 binary64) |
Compiled 57 to 40 computations (29.8% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) x) |
| ✓ | cost-diff | 704 | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 6 binary64)) |
| ✓ | cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 6 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| 60× | *-lowering-*.f32 |
| 60× | *-lowering-*.f64 |
| 50× | /-lowering-/.f32 |
| 50× | /-lowering-/.f64 |
| 30× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 52 |
| 1 | 30 | 52 |
| 2 | 41 | 52 |
| 3 | 69 | 52 |
| 4 | 91 | 52 |
| 5 | 118 | 52 |
| 6 | 124 | 52 |
| 0 | 124 | 52 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (* x 1/6) x) |
(* x 1/6) |
x |
1/6 |
(/ 1 (* (/ 1 (+ (* x x) 0)) 6)) |
1 |
(* (/ 1 (+ (* x x) 0)) 6) |
(/ 1 (+ (* x x) 0)) |
(+ (* x x) 0) |
x |
0 |
6 |
(/ x (/ 6 x)) |
x |
(/ 6 x) |
6 |
(/ (* x x) 6) |
(* x x) |
x |
6 |
| Outputs |
|---|
(* (* x 1/6) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
1/6 |
#s(literal 1/6 binary64) |
(/ 1 (* (/ 1 (+ (* x x) 0)) 6)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
(* (/ 1 (+ (* x x) 0)) 6) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(/ 1 (+ (* x x) 0)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
6 |
#s(literal 6 binary64) |
(/ x (/ 6 x)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) |
x |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
6 |
#s(literal 6 binary64) |
(/ (* x x) 6) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
6 |
#s(literal 6 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 6 binary64) x) |
| ✓ | accuracy | 99.8% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 6 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 6 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| 31.0ms | 256× | 0 | valid |
Compiled 64 to 17 computations (73.4% saved)
ival-div: 8.0ms (39.7% of total)ival-mult: 7.0ms (34.7% of total)const: 4.0ms (19.9% of total)ival-add: 1.0ms (5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x 1/6)> |
#<alt (* (* x 1/6) x)> |
#<alt (/ 1 (* (/ 1 (+ (* x x) 0)) 6))> |
#<alt (* (/ 1 (+ (* x x) 0)) 6)> |
#<alt (/ 1 (+ (* x x) 0))> |
#<alt (+ (* x x) 0)> |
#<alt (/ x (/ 6 x))> |
#<alt (/ 6 x)> |
#<alt (/ (* x x) 6)> |
#<alt (* x x)> |
| Outputs |
|---|
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/ 6 x) |
| 0.0ms | x | @ | -inf | (/ 6 x) |
| 0.0ms | x | @ | 0 | (/ 6 x) |
| 0.0ms | x | @ | -inf | (/ x (/ 6 x)) |
| 0.0ms | x | @ | 0 | (/ 1 (* (/ 1 (+ (* x x) 0)) 6)) |
| 1× | batch-egg-rewrite |
| 2 998× | accelerator-lowering-fma.f32 |
| 2 998× | accelerator-lowering-fma.f64 |
| 1 898× | *-lowering-*.f32 |
| 1 898× | *-lowering-*.f64 |
| 1 606× | exp-lowering-exp.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 42 |
| 1 | 80 | 40 |
| 2 | 447 | 40 |
| 3 | 4092 | 40 |
| 0 | 8704 | 40 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x 1/6) |
(* (* x 1/6) x) |
(/ 1 (* (/ 1 (+ (* x x) 0)) 6)) |
(* (/ 1 (+ (* x x) 0)) 6) |
(/ 1 (+ (* x x) 0)) |
(+ (* x x) 0) |
(/ x (/ 6 x)) |
(/ 6 x) |
(/ (* x x) 6) |
(* x x) |
| Outputs |
|---|
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64))) |
(neg.f64 (*.f64 x #s(literal -1/6 binary64))) |
(/.f64 x #s(literal 6 binary64)) |
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64)) |
(/.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -6 binary64)) |
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(exp.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64)))) |
(exp.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal -1/2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal -1/2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64))) |
(-.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(-.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64) #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 6 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) |
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(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
| 1× | egg-herbie |
| 14× | *-lowering-*.f32 |
| 14× | *-lowering-*.f64 |
| 12× | /-lowering-/.f32 |
| 12× | /-lowering-/.f64 |
| 4× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 504 |
| 1 | 16 | 504 |
| 2 | 21 | 504 |
| 0 | 21 | 504 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Compiled 41 457 to 2 723 computations (93.4% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 793 | 1 | 1 794 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 5 | 5 |
| Total | 1 794 | 9 | 1 803 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
| ✓ | 99.8% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| ✓ | 57.0% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | 57.0% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| 56.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 6 binary64))) | |
| ✓ | 56.9% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | 57.0% | (*.f64 x (/.f64 x #s(literal 6 binary64))) |
| ✓ | 56.9% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | 43.0% | #s(literal -1/2 binary64) |
Compiled 274 to 109 computations (60.2% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 6 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 6 binary64))) |
(*.f64 (/.f64 x (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(fma.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64)) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x #s(literal 6 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (*.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) |
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
4 calls:
| 9.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 6.0ms | x |
| 6.0ms | (*.f64 x x) |
| 5.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 99.8% | 1 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 99.8% | 1 | (*.f64 x x) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
4 calls:
| 4.0ms | (*.f64 x x) |
| 3.0ms | x |
| 3.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 3.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 99.8% | 1 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 99.8% | 1 | (*.f64 x x) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
4 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 2.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 99.8% | 1 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 99.8% | 1 | (*.f64 x x) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| Outputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
4 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 1.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | x |
| 98.3% | 2 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 98.3% | 2 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 98.3% | 2 | (*.f64 x x) |
Compiled 20 to 13 computations (35% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(literal -1/2 binary64) |
4 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 1.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.0% | 1 | x |
| 43.0% | 1 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 43.0% | 1 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 43.0% | 1 | (*.f64 x x) |
Compiled 20 to 13 computations (35% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.9996531345254217e-7 | 79937.47086966535 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 32 |
| 1 | 19 | 32 |
| 2 | 24 | 32 |
| 3 | 26 | 32 |
| 4 | 27 | 32 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(if (<=.f64 (*.f64 x x) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(if (<=.f64 (*.f64 x x) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(if (<=.f64 (*.f64 x x) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(literal -1/2 binary64) |
| 6 202× | accelerator-lowering-fma.f32 |
| 6 202× | accelerator-lowering-fma.f64 |
| 5 168× | /-lowering-/.f32 |
| 5 168× | /-lowering-/.f64 |
| 4 388× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 39 | 15 |
| 2 | 227 | 15 |
| 3 | 1832 | 15 |
| 0 | 8685 | 13 |
| 0 | 19 | 162 |
| 1 | 43 | 162 |
| 2 | 98 | 162 |
| 3 | 235 | 162 |
| 4 | 748 | 162 |
| 5 | 1583 | 162 |
| 6 | 2320 | 162 |
| 7 | 3495 | 162 |
| 8 | 4221 | 162 |
| 9 | 5328 | 162 |
| 10 | 6382 | 162 |
| 11 | 7111 | 162 |
| 0 | 8024 | 144 |
| 0 | 55 | 838 |
| 1 | 138 | 838 |
| 2 | 300 | 838 |
| 3 | 843 | 834 |
| 4 | 2479 | 834 |
| 5 | 4610 | 834 |
| 6 | 7137 | 834 |
| 0 | 8063 | 765 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 64 to 38 computations (40.6% saved)
(abs x)
Compiled 114 to 66 computations (42.1% saved)
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