
Time bar (total: 6.7s)
| 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)
| 381.0ms | 8 256× | 0 | valid |
ival-div: 67.0ms (33.7% of total)ival-mult: 64.0ms (32.2% of total)ival-sub: 52.0ms (26.2% of total)exact: 8.0ms (4% of total)ival-true: 5.0ms (2.5% of total)ival-assert: 3.0ms (1.5% 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 |
| 22.0ms | 512× | 0 | valid |
Compiled 56 to 28 computations (50% saved)
ival-mult: 4.0ms (37.3% of total)ival-div: 3.0ms (28% of total)ival-sub: 2.0ms (18.7% 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 |
|---|---|---|
| ▶ | 99.9% | (/.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 | 99.9% | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 11.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-div: 2.0ms (37.8% of total)ival-mult: 2.0ms (37.8% of total)ival-sub: 1.0ms (18.9% 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 x (neg.f64 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 (neg.f64 (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 (neg.f64 (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 (neg.f64 (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 (neg.f64 (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 (neg.f64 (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 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 x) #s(literal -3 binary64))))) |
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(*.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)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 27 binary64)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (neg.f64 (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)) (neg.f64 (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)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 27 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (neg.f64 (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)) (neg.f64 (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))) (fma.f64 x (neg.f64 x) #s(literal -3 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 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 (neg.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)) (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 (neg.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)) (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 (neg.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)) (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 (neg.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))) (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))) |
(*.f64 (/.f64 (neg.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)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 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 (neg.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)) (neg.f64 (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) |
(*.f64 x x) |
(* (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) |
(*.f64 x x) |
(* (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 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #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) |
Compiled 23 870 to 1 644 computations (93.1% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 542 | 10 | 552 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 543 | 10 | 553 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| 50.9% | (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)) | |
| ▶ | 63.5% | (/.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))) |
| 54.7% | (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -81 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)))) | |
| ▶ | 99.9% | (/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)) |
| 51.9% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) | |
| ▶ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
| 63.4% | (*.f64 (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)))) | |
| 51.8% | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| ▶ | 48.1% | #s(literal -1/2 binary64) |
Compiled 230 to 140 computations (39.1% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 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 | 0 | (fma.f64 x x #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) |
| ✓ | cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
| ✓ | cost-diff | 0 | (*.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)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)) |
| 68× | *-lowering-*.f32 |
| 68× | *-lowering-*.f64 |
| 34× | accelerator-lowering-fma.f32 |
| 34× | accelerator-lowering-fma.f64 |
| 26× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 104 |
| 1 | 45 | 98 |
| 2 | 67 | 98 |
| 3 | 84 | 98 |
| 0 | 84 | 88 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ (* x x) -3) 6) |
(+ (* x x) -3) |
x |
-3 |
6 |
-1/2 |
(+ (* (* x 1/6) x) -1/2) |
(* x 1/6) |
x |
1/6 |
-1/2 |
(/ 1 (/ 6 (+ (* x x) -3))) |
1 |
(/ 6 (+ (* x x) -3)) |
6 |
(+ (* x x) -3) |
x |
-3 |
(/ (+ (* (* 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 |
| Outputs |
|---|
(/ (+ (* x x) -3) 6) |
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)) |
(+ (* x x) -3) |
(fma.f64 x x #s(literal -3 binary64)) |
x |
-3 |
#s(literal -3 binary64) |
6 |
#s(literal 6 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
(+ (* (* x 1/6) x) -1/2) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
1/6 |
#s(literal 1/6 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
(/ 1 (/ 6 (+ (* x x) -3))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 6 (+ (* x x) -3)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) |
6 |
#s(literal 6 binary64) |
(+ (* x x) -3) |
(fma.f64 x x #s(literal -3 binary64)) |
x |
-3 |
#s(literal -3 binary64) |
(/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2)) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.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))) |
(+ (* (* x (* x (* x x))) 1/36) -1/4) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
1/36 |
#s(literal 1/36 binary64) |
-1/4 |
#s(literal -1/4 binary64) |
(+ (* x (* x 1/6)) 1/2) |
(fma.f64 x (*.f64 x #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) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 69.0% | (/.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 -3 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) |
| ✓ | 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)) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal -3 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)) |
| 43.0ms | 256× | 0 | valid |
Compiled 106 to 26 computations (75.5% saved)
ival-mult: 11.0ms (36.5% of total)ival-div: 7.0ms (23.2% of total)const: 6.0ms (19.9% of total)ival-add: 5.0ms (16.6% of total)exact: 1.0ms (3.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (* x x) -3) 6)> |
#<alt (+ (* x x) -3)> |
#<alt (+ (* (* x 1/6) x) -1/2)> |
#<alt (* x 1/6)> |
#<alt (/ 1 (/ 6 (+ (* x x) -3)))> |
#<alt (/ 6 (+ (* x x) -3))> |
#<alt (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2))> |
#<alt (+ (* (* x (* x (* x x))) 1/36) -1/4)> |
#<alt (* x (* x (* x x)))> |
#<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 -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 (* 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 -1/2> |
#<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 -2> |
#<alt (- (* -2/3 (pow x 2)) 2)> |
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (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 -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 (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 (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)))))> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2)) |
| 0.0ms | x | @ | 0 | (* x 1/6) |
| 0.0ms | x | @ | 0 | (/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2)) |
| 0.0ms | x | @ | -inf | (* x 1/6) |
| 0.0ms | x | @ | -inf | (* x (* x x)) |
| 1× | batch-egg-rewrite |
| 8 690× | accelerator-lowering-fma.f32 |
| 8 690× | accelerator-lowering-fma.f64 |
| 5 538× | *-lowering-*.f32 |
| 5 538× | *-lowering-*.f64 |
| 3 536× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 67 |
| 1 | 131 | 63 |
| 2 | 814 | 63 |
| 0 | 8537 | 55 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* x x) -3) 6) |
(+ (* x x) -3) |
(+ (* (* x 1/6) x) -1/2) |
(* x 1/6) |
(/ 1 (/ 6 (+ (* x x) -3))) |
(/ 6 (+ (* x x) -3)) |
(/ (+ (* (* 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 1/6)) 1/2) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x x)))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/6 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/4 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) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1/2 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x x))) #s(literal -1/2 binary64)) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
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(*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1296 binary64))) #s(literal 1/16 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.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))))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 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 (*.f64 x x) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 x x #s(literal 3 binary64))) |
| 1× | egg-herbie |
| 6 980× | accelerator-lowering-fma.f32 |
| 6 980× | accelerator-lowering-fma.f64 |
| 3 538× | *-lowering-*.f32 |
| 3 538× | *-lowering-*.f64 |
| 1 558× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 756 |
| 1 | 149 | 756 |
| 2 | 318 | 756 |
| 3 | 664 | 756 |
| 4 | 1328 | 756 |
| 5 | 2217 | 756 |
| 6 | 3433 | 756 |
| 7 | 5480 | 756 |
| 8 | 7239 | 756 |
| 0 | 8034 | 687 |
| 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))))) |
-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))))) |
(* 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) |
-1/2 |
(- (* 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))))) |
-2 |
(- (* -2/3 (pow x 2)) 2) |
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2) |
(/ 6 (pow x 2)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) |
(/ 6 (pow x 2)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (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))))) |
-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))))) |
(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) |
(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)) |
-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) |
(*.f64 x x) |
(* (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) |
(*.f64 x x) |
(* (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 #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) |
(*.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) |
-1/2 |
#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)) |
-2 |
#s(literal -2 binary64) |
(- (* -2/3 (pow x 2)) 2) |
(fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/9 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/27 binary64)) #s(literal -2/9 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 162 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 162 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) |
-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)) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* 1/36 (pow x 4)) 1/4) |
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64)) |
(- (* 1/36 (pow x 4)) 1/4) |
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64)) |
(- (* 1/36 (pow x 4)) 1/4) |
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 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))) |
(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 67 897 to 2 755 computations (95.9% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 879 | 4 | 1 883 |
| Fresh | 1 | 4 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 882 | 11 | 1 893 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| 50.9% | (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)) | |
| ▶ | 63.5% | (/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) x #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 99.9% | (/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)) |
| 51.9% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) | |
| ▶ | 51.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
| ▶ | 51.0% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) |
| ▶ | 99.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) |
| 63.4% | (*.f64 (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)))) | |
| ▶ | 51.8% | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| ✓ | 48.1% | #s(literal -1/2 binary64) |
Compiled 208 to 136 computations (34.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) |
| ✓ | cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 2688 | (*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 5824 | (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) x #s(literal -1/4 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) x #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 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 -3 binary64))) #s(literal 6 binary64))) |
| 140× | *-lowering-*.f32 |
| 140× | *-lowering-*.f64 |
| 56× | associate-*r* |
| 50× | /-lowering-/.f32 |
| 50× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 159 |
| 1 | 58 | 149 |
| 2 | 83 | 149 |
| 3 | 113 | 145 |
| 4 | 138 | 145 |
| 5 | 181 | 145 |
| 6 | 184 | 145 |
| 7 | 188 | 145 |
| 0 | 188 | 132 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (* (/ 1 (+ (* x x) -3)) 6)) |
1 |
(* (/ 1 (+ (* x x) -3)) 6) |
(/ 1 (+ (* x x) -3)) |
(+ (* x x) -3) |
x |
-3 |
6 |
(* (* x x) 1/6) |
(* x x) |
x |
1/6 |
(/ 1 (/ 6 (* x x))) |
1 |
(/ 6 (* x x)) |
6 |
(* x x) |
x |
(/ (+ (* (* x (* (* x x) 1/36)) x) -1/4) (+ (* x (* x 1/6)) 1/2)) |
(+ (* (* x (* (* x x) 1/36)) x) -1/4) |
(* x (* (* x x) 1/36)) |
x |
(* (* x x) 1/36) |
(* x x) |
1/36 |
-1/4 |
(+ (* x (* x 1/6)) 1/2) |
(* x 1/6) |
1/6 |
1/2 |
(/ 1 (* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2))) |
1 |
(* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2)) |
(pow (/ 6 (+ (* x x) -3)) 1/2) |
(/ 6 (+ (* x x) -3)) |
6 |
(+ (* x x) -3) |
x |
-3 |
1/2 |
| Outputs |
|---|
(/ 1 (* (/ 1 (+ (* x x) -3)) 6)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(* (/ 1 (+ (* x x) -3)) 6) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) |
(/ 1 (+ (* x x) -3)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) |
(+ (* x x) -3) |
(fma.f64 x x #s(literal -3 binary64)) |
x |
-3 |
#s(literal -3 binary64) |
6 |
#s(literal 6 binary64) |
(* (* x x) 1/6) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* x x) |
(*.f64 x x) |
x |
1/6 |
#s(literal 1/6 binary64) |
(/ 1 (/ 6 (* x x))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 6 (* x x)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
6 |
#s(literal 6 binary64) |
(* x x) |
(*.f64 x x) |
x |
(/ (+ (* (* x (* (* x x) 1/36)) x) -1/4) (+ (* x (* x 1/6)) 1/2)) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(+ (* (* x (* (* x x) 1/36)) x) -1/4) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) |
(* x (* (* x x) 1/36)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) |
x |
(* (* x x) 1/36) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* x x) |
(*.f64 x x) |
1/36 |
#s(literal 1/36 binary64) |
-1/4 |
#s(literal -1/4 binary64) |
(+ (* x (* x 1/6)) 1/2) |
(fma.f64 (*.f64 x x) #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) |
(/ 1 (* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) |
(pow (/ 6 (+ (* x x) -3)) 1/2) |
(sqrt.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
(/ 6 (+ (* x x) -3)) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) |
6 |
#s(literal 6 binary64) |
(+ (* x x) -3) |
(fma.f64 x x #s(literal -3 binary64)) |
x |
-3 |
#s(literal -3 binary64) |
1/2 |
#s(literal 1/2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) |
| ✓ | accuracy | 75.1% | (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 69.0% | (/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) x #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal -3 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) |
| 27.0ms | 131× | 0 | valid |
| 25.0ms | 125× | 0 | invalid |
Compiled 177 to 30 computations (83.1% saved)
ival-mult: 13.0ms (36.5% of total)ival-div: 10.0ms (28.1% of total)const: 6.0ms (16.8% of total)ival-add: 4.0ms (11.2% of total)ival-sqrt: 2.0ms (5.6% of total)exact: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (* (/ 1 (+ (* x x) -3)) 6))> |
#<alt (* (/ 1 (+ (* x x) -3)) 6)> |
#<alt (/ 1 (+ (* x x) -3))> |
#<alt (+ (* x x) -3)> |
#<alt (* (* x x) 1/6)> |
#<alt (* x x)> |
#<alt (/ 1 (/ 6 (* x x)))> |
#<alt (/ 6 (* x x))> |
#<alt (/ (+ (* (* x (* (* x x) 1/36)) x) -1/4) (+ (* x (* x 1/6)) 1/2))> |
#<alt (+ (* (* x (* (* x x) 1/36)) x) -1/4)> |
#<alt (* x (* (* x x) 1/36))> |
#<alt (* (* x x) 1/36)> |
#<alt (pow (/ 6 (+ (* x x) -3)) 1/2)> |
#<alt (* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2))> |
#<alt (/ 1 (* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2)))> |
#<alt (/ 6 (+ (* x x) -3))> |
#<alt (* x 1/6)> |
#<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 -2> |
#<alt (- (* -2/3 (pow x 2)) 2)> |
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))> |
#<alt -1/3> |
#<alt (- (* -1/9 (pow x 2)) 1/3)> |
#<alt (- (* (pow x 2) (- (* -1/27 (pow x 2)) 1/9)) 1/3)> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (pow x 2)) 1/27)) 1/9)) 1/3)> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))> |
#<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 (* 1/6 (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 (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 -1/2> |
#<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 -1/4> |
#<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 (* 1/36 (pow x 3))> |
#<alt (* 1/36 (pow x 3))> |
#<alt (* 1/36 (pow x 3))> |
#<alt (* 1/36 (pow x 3))> |
#<alt (* 1/36 (pow x 3))> |
#<alt (* 1/36 (pow x 3))> |
#<alt (* 1/36 (pow x 3))> |
#<alt (* 1/36 (pow x 3))> |
#<alt (* 1/36 (pow x 3))> |
#<alt (* 1/36 (pow x 3))> |
#<alt (* 1/36 (pow x 3))> |
#<alt (* 1/36 (pow x 3))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (sqrt -2)> |
#<alt (+ (sqrt -2) (* -1/3 (/ (pow x 2) (sqrt -2))))> |
#<alt (+ (sqrt -2) (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2))))) (sqrt -2))) (* 1/3 (/ 1 (sqrt -2))))))> |
#<alt (+ (sqrt -2) (* (pow x 2) (- (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 2/27 (* 1/3 (/ (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2)))) (pow (sqrt -2) 2))))) (sqrt -2))) (* -1/2 (/ (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2)))) (sqrt -2))))) (* 1/3 (/ 1 (sqrt -2))))))> |
#<alt (/ (sqrt 6) x)> |
#<alt (/ (+ (sqrt 6) (* 9 (/ 1 (* (pow x 2) (sqrt 6))))) x)> |
#<alt (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6))))) x)> |
#<alt (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (+ (* 1/2 (/ (- 162 (* 9 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (pow (sqrt 6) 2)))) (* (pow x 6) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6)))))) x)> |
#<alt (* -1 (/ (sqrt 6) x))> |
#<alt (* -1 (/ (+ (sqrt 6) (* 9 (/ 1 (* (pow x 2) (sqrt 6))))) x))> |
#<alt (* -1 (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6))))) x))> |
#<alt (* -1 (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (+ (* 1/2 (/ (- 162 (* 9 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (pow (sqrt 6) 2)))) (* (pow x 6) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6)))))) x))> |
#<alt (* -1/3 (pow (sqrt 6) 2))> |
#<alt (+ (* -1/3 (pow (sqrt 6) 2)) (* -1/9 (* (pow x 2) (pow (sqrt 6) 2))))> |
#<alt (+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* -1/27 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/9 (pow (sqrt 6) 2)))))> |
#<alt (+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/27 (pow (sqrt 6) 2)))) (* 1/9 (pow (sqrt 6) 2)))))> |
#<alt (/ (pow (sqrt 6) 2) (pow x 2))> |
#<alt (/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))> |
#<alt (/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2))> |
#<alt (/ (pow (sqrt 6) 2) (pow x 2))> |
#<alt (/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))> |
#<alt (/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2))> |
#<alt (/ -3 (pow (sqrt 6) 2))> |
#<alt (- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))> |
#<alt (- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))> |
#<alt (- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))> |
#<alt (/ (pow x 2) (pow (sqrt 6) 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))> |
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))> |
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))> |
#<alt (/ (pow x 2) (pow (sqrt 6) 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))> |
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))> |
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))> |
#<alt -2> |
#<alt (- (* -2/3 (pow x 2)) 2)> |
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (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 1/2> |
#<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)))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (pow (/ 6 (+ (* x x) -3)) 1/2) |
| 1.0ms | x | @ | 0 | (/ 1 (* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2))) |
| 0.0ms | x | @ | 0 | (pow (/ 6 (+ (* x x) -3)) 1/2) |
| 0.0ms | x | @ | inf | (* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2)) |
| 0.0ms | x | @ | 0 | (* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2)) |
| 1× | batch-egg-rewrite |
| 7 892× | accelerator-lowering-fma.f32 |
| 7 892× | accelerator-lowering-fma.f64 |
| 5 712× | *-lowering-*.f32 |
| 5 712× | *-lowering-*.f64 |
| 2 920× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 119 |
| 1 | 160 | 107 |
| 2 | 1063 | 107 |
| 0 | 8945 | 96 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* (/ 1 (+ (* x x) -3)) 6)) |
(* (/ 1 (+ (* x x) -3)) 6) |
(/ 1 (+ (* x x) -3)) |
(+ (* x x) -3) |
(* (* x x) 1/6) |
(* x x) |
(/ 1 (/ 6 (* x x))) |
(/ 6 (* x x)) |
(/ (+ (* (* x (* (* x x) 1/36)) x) -1/4) (+ (* x (* x 1/6)) 1/2)) |
(+ (* (* x (* (* x x) 1/36)) x) -1/4) |
(* x (* (* x x) 1/36)) |
(* (* x x) 1/36) |
(pow (/ 6 (+ (* x x) -3)) 1/2) |
(* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2)) |
(/ 1 (* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2))) |
(/ 6 (+ (* x x) -3)) |
(* x 1/6) |
(+ (* x (* x 1/6)) 1/2) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1/4 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) #s(literal -1/2 binary64))) |
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))) |
(exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))) |
(-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.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 (/.f64 #s(literal -1/16 binary64) (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 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #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 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/216 binary64))) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
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(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal -1/4 binary64))) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.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 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 10 142× | accelerator-lowering-fma.f32 |
| 10 142× | accelerator-lowering-fma.f64 |
| 4 722× | *-lowering-*.f32 |
| 4 722× | *-lowering-*.f64 |
| 2 766× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 212 | 1714 |
| 1 | 531 | 1608 |
| 2 | 1579 | 1605 |
| 3 | 3529 | 1600 |
| 0 | 8236 | 1514 |
| 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))))) |
-2 |
(- (* -2/3 (pow x 2)) 2) |
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2) |
(/ 6 (pow x 2)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) |
(/ 6 (pow x 2)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) |
-1/3 |
(- (* -1/9 (pow x 2)) 1/3) |
(- (* (pow x 2) (- (* -1/27 (pow x 2)) 1/9)) 1/3) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (pow x 2)) 1/27)) 1/9)) 1/3) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2)) |
-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))))) |
(* 1/6 (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 (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)) |
-1/2 |
(- (* 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))))) |
-1/4 |
(- (* 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))))) |
(* 1/36 (pow x 3)) |
(* 1/36 (pow x 3)) |
(* 1/36 (pow x 3)) |
(* 1/36 (pow x 3)) |
(* 1/36 (pow x 3)) |
(* 1/36 (pow x 3)) |
(* 1/36 (pow x 3)) |
(* 1/36 (pow x 3)) |
(* 1/36 (pow x 3)) |
(* 1/36 (pow x 3)) |
(* 1/36 (pow x 3)) |
(* 1/36 (pow x 3)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(* 1/36 (pow x 2)) |
(sqrt -2) |
(+ (sqrt -2) (* -1/3 (/ (pow x 2) (sqrt -2)))) |
(+ (sqrt -2) (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2))))) (sqrt -2))) (* 1/3 (/ 1 (sqrt -2)))))) |
(+ (sqrt -2) (* (pow x 2) (- (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 2/27 (* 1/3 (/ (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2)))) (pow (sqrt -2) 2))))) (sqrt -2))) (* -1/2 (/ (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2)))) (sqrt -2))))) (* 1/3 (/ 1 (sqrt -2)))))) |
(/ (sqrt 6) x) |
(/ (+ (sqrt 6) (* 9 (/ 1 (* (pow x 2) (sqrt 6))))) x) |
(/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6))))) x) |
(/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (+ (* 1/2 (/ (- 162 (* 9 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (pow (sqrt 6) 2)))) (* (pow x 6) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6)))))) x) |
(* -1 (/ (sqrt 6) x)) |
(* -1 (/ (+ (sqrt 6) (* 9 (/ 1 (* (pow x 2) (sqrt 6))))) x)) |
(* -1 (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6))))) x)) |
(* -1 (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (+ (* 1/2 (/ (- 162 (* 9 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (pow (sqrt 6) 2)))) (* (pow x 6) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6)))))) x)) |
(* -1/3 (pow (sqrt 6) 2)) |
(+ (* -1/3 (pow (sqrt 6) 2)) (* -1/9 (* (pow x 2) (pow (sqrt 6) 2)))) |
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* -1/27 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/9 (pow (sqrt 6) 2))))) |
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/27 (pow (sqrt 6) 2)))) (* 1/9 (pow (sqrt 6) 2))))) |
(/ (pow (sqrt 6) 2) (pow x 2)) |
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2)) |
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2)) |
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2)) |
(/ (pow (sqrt 6) 2) (pow x 2)) |
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2)) |
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2)) |
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2)) |
(/ -3 (pow (sqrt 6) 2)) |
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2)))) |
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2)))) |
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2)))) |
(/ (pow x 2) (pow (sqrt 6) 2)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(/ (pow x 2) (pow (sqrt 6) 2)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
-2 |
(- (* -2/3 (pow x 2)) 2) |
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2) |
(/ 6 (pow x 2)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) |
(/ 6 (pow x 2)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (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) |
1/2 |
(+ 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 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* -2/3 (pow x 2)) 2) |
(fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/9 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/27 binary64) #s(literal -2/9 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 6 binary64))) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)))) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 6 binary64))) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)))) (*.f64 x x)) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* -1/9 (pow x 2)) 1/3) |
(fma.f64 (*.f64 x x) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) |
(- (* (pow x 2) (- (* -1/27 (pow x 2)) 1/9)) 1/3) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/27 binary64) #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (pow x 2)) 1/27)) 1/9)) 1/3) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/81 binary64) #s(literal -1/27 binary64))) #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x)) |
-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) |
(*.f64 x x) |
(* (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) |
(*.f64 x x) |
(* (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)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 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 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(/ 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)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* 1/36 (pow x 4)) 1/4) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) |
(- (* 1/36 (pow x 4)) 1/4) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) |
(- (* 1/36 (pow x 4)) 1/4) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) |
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) |
(* 1/36 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) |
(* 1/36 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) |
(* 1/36 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) |
(* 1/36 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) |
(* 1/36 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) |
(* 1/36 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) |
(* 1/36 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) |
(* 1/36 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) |
(* 1/36 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) |
(* 1/36 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) |
(* 1/36 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) |
(* 1/36 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/36 binary64)) |
(sqrt -2) |
(sqrt.f64 #s(literal -2 binary64)) |
(+ (sqrt -2) (* -1/3 (/ (pow x 2) (sqrt -2)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 #s(literal -2 binary64))) |
(+ (sqrt -2) (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2))))) (sqrt -2))) (* 1/3 (/ 1 (sqrt -2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -2 binary64)))) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 #s(literal -2 binary64))) |
(+ (sqrt -2) (* (pow x 2) (- (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 2/27 (* 1/3 (/ (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2)))) (pow (sqrt -2) 2))))) (sqrt -2))) (* -1/2 (/ (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2)))) (sqrt -2))))) (* 1/3 (/ 1 (sqrt -2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -2 binary64))) (fma.f64 (*.f64 x x) #s(literal -5/216 binary64) #s(literal -1/12 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 #s(literal -2 binary64))) |
(/ (sqrt 6) x) |
(/.f64 (sqrt.f64 #s(literal 6 binary64)) x) |
(/ (+ (sqrt 6) (* 9 (/ 1 (* (pow x 2) (sqrt 6))))) x) |
(/.f64 (+.f64 (sqrt.f64 #s(literal 6 binary64)) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 6 binary64)))))) x) |
(/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6))))) x) |
(/.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal 6 binary64)) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 6 binary64)))))) (/.f64 #s(literal 81/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 6 binary64))))) x) |
(/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (+ (* 1/2 (/ (- 162 (* 9 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (pow (sqrt 6) 2)))) (* (pow x 6) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6)))))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 81/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 405/4 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (sqrt.f64 #s(literal 6 binary64)) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 6 binary64))))))) x) |
(* -1 (/ (sqrt 6) x)) |
(neg.f64 (/.f64 (sqrt.f64 #s(literal 6 binary64)) x)) |
(* -1 (/ (+ (sqrt 6) (* 9 (/ 1 (* (pow x 2) (sqrt 6))))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -9 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 6 binary64))))) (sqrt.f64 #s(literal 6 binary64))) x) |
(* -1 (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6))))) x)) |
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal -9 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 6 binary64))))) (sqrt.f64 #s(literal 6 binary64))) (/.f64 #s(literal -81/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 6 binary64))))) x) |
(* -1 (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (+ (* 1/2 (/ (- 162 (* 9 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (pow (sqrt 6) 2)))) (* (pow x 6) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6)))))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -9 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 6 binary64))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 81/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 405/4 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(literal 6 binary64)))) x) |
(* -1/3 (pow (sqrt 6) 2)) |
#s(literal -2 binary64) |
(+ (* -1/3 (pow (sqrt 6) 2)) (* -1/9 (* (pow x 2) (pow (sqrt 6) 2)))) |
(fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* -1/27 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/9 (pow (sqrt 6) 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/9 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/27 (pow (sqrt 6) 2)))) (* 1/9 (pow (sqrt 6) 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/27 binary64) #s(literal -2/9 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(/ (pow (sqrt 6) 2) (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x)) |
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 6 binary64))) (*.f64 x x)) |
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)))) (*.f64 x x)) |
(/ (pow (sqrt 6) 2) (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x)) |
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 6 binary64))) (*.f64 x x)) |
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)))) (*.f64 x x)) |
(/ -3 (pow (sqrt 6) 2)) |
#s(literal -1/2 binary64) |
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(/ (pow x 2) (pow (sqrt 6) 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(/ (pow x 2) (pow (sqrt 6) 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* -2/3 (pow x 2)) 2) |
(fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/9 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/27 binary64) #s(literal -2/9 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 6 binary64))) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)))) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 6 binary64))) (*.f64 x x)) |
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)))) (*.f64 x x)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
Compiled 60 806 to 4 236 computations (93% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 211 | 5 | 2 216 |
| Fresh | 2 | 1 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 217 | 10 | 2 227 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| ✓ | 99.9% | (/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)) |
| ▶ | 51.9% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ▶ | 51.8% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ▶ | 51.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
| ▶ | 98.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 6 binary64))))) |
| ✓ | 51.8% | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| ▶ | 51.8% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 50.9% | (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) | |
| ✓ | 48.1% | #s(literal -1/2 binary64) |
Compiled 140 to 88 computations (37.1% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) x) |
| ✓ | cost-diff | 704 | (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) x) |
| ✓ | cost-diff | 768 | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 6 binary64)))) |
| ✓ | cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 6 binary64))))) |
| ✓ | cost-diff | 1600 | (*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 6 binary64))) |
| 184× | *-lowering-*.f32 |
| 184× | *-lowering-*.f64 |
| 136× | /-lowering-/.f32 |
| 136× | /-lowering-/.f64 |
| 92× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 86 |
| 1 | 45 | 82 |
| 2 | 73 | 82 |
| 3 | 137 | 82 |
| 4 | 222 | 82 |
| 5 | 318 | 82 |
| 6 | 387 | 82 |
| 7 | 423 | 82 |
| 8 | 429 | 82 |
| 0 | 429 | 78 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (* (/ 1 (+ (* x x) -3)) (* (sqrt 6) (sqrt 6)))) |
1 |
(* (/ 1 (+ (* x x) -3)) (* (sqrt 6) (sqrt 6))) |
(/ 1 (+ (* x x) -3)) |
(+ (* x x) -3) |
x |
-3 |
(* (sqrt 6) (sqrt 6)) |
(sqrt 6) |
6 |
(* (* x 1/6) x) |
(* x 1/6) |
x |
1/6 |
(/ (* x x) 6) |
(* x x) |
x |
6 |
(/ x (/ 6 x)) |
x |
(/ 6 x) |
6 |
(/ 1 (* (/ 6 x) (/ 1 x))) |
1 |
(* (/ 6 x) (/ 1 x)) |
(/ 6 x) |
6 |
x |
(/ 1 x) |
| Outputs |
|---|
(/ 1 (* (/ 1 (+ (* x x) -3)) (* (sqrt 6) (sqrt 6)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(* (/ 1 (+ (* x x) -3)) (* (sqrt 6) (sqrt 6))) |
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) |
(/ 1 (+ (* x x) -3)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) |
(+ (* x x) -3) |
(fma.f64 x x #s(literal -3 binary64)) |
x |
-3 |
#s(literal -3 binary64) |
(* (sqrt 6) (sqrt 6)) |
#s(literal 6 binary64) |
(sqrt 6) |
(sqrt.f64 #s(literal 6 binary64)) |
6 |
#s(literal 6 binary64) |
(* (* x 1/6) x) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
1/6 |
#s(literal 1/6 binary64) |
(/ (* x x) 6) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* x x) |
(*.f64 x x) |
x |
6 |
#s(literal 6 binary64) |
(/ x (/ 6 x)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
x |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
6 |
#s(literal 6 binary64) |
(/ 1 (* (/ 6 x) (/ 1 x))) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
1 |
#s(literal 1 binary64) |
(* (/ 6 x) (/ 1 x)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
6 |
#s(literal 6 binary64) |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 6 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 6 binary64) x) |
| ✓ | accuracy | 99.8% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 x x) #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)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 6 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 6 binary64)))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) |
| ✓ | accuracy | 98.4% | (*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 6 binary64))) |
| 53.0ms | 256× | 0 | valid |
Compiled 104 to 22 computations (78.8% saved)
ival-div: 11.0ms (41.2% of total)ival-mult: 8.0ms (29.9% of total)const: 4.0ms (15% of total)ival-sqrt: 2.0ms (7.5% of total)ival-add: 1.0ms (3.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sqrt 6) (sqrt 6))> |
#<alt (/ 1 (* (/ 1 (+ (* x x) -3)) (* (sqrt 6) (sqrt 6))))> |
#<alt (* (/ 1 (+ (* x x) -3)) (* (sqrt 6) (sqrt 6)))> |
#<alt (/ 1 (+ (* x x) -3))> |
#<alt (* (* x 1/6) x)> |
#<alt (* x 1/6)> |
#<alt (/ (* x x) 6)> |
#<alt (* x x)> |
#<alt (/ x (/ 6 x))> |
#<alt (/ 6 x)> |
#<alt (/ 1 (* (/ 6 x) (/ 1 x)))> |
#<alt (* (/ 6 x) (/ 1 x))> |
#<alt (/ 1 x)> |
| Outputs |
|---|
#<alt (/ -3 (pow (sqrt 6) 2))> |
#<alt (- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))> |
#<alt (- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))> |
#<alt (- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))> |
#<alt (/ (pow x 2) (pow (sqrt 6) 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))> |
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))> |
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))> |
#<alt (/ (pow x 2) (pow (sqrt 6) 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))> |
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))> |
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))> |
#<alt (* -1/3 (pow (sqrt 6) 2))> |
#<alt (+ (* -1/3 (pow (sqrt 6) 2)) (* -1/9 (* (pow x 2) (pow (sqrt 6) 2))))> |
#<alt (+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* -1/27 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/9 (pow (sqrt 6) 2)))))> |
#<alt (+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/27 (pow (sqrt 6) 2)))) (* 1/9 (pow (sqrt 6) 2)))))> |
#<alt (/ (pow (sqrt 6) 2) (pow x 2))> |
#<alt (/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))> |
#<alt (/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2))> |
#<alt (/ (pow (sqrt 6) 2) (pow x 2))> |
#<alt (/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))> |
#<alt (/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2))> |
#<alt -1/3> |
#<alt (- (* -1/9 (pow x 2)) 1/3)> |
#<alt (- (* (pow x 2) (- (* -1/27 (pow x 2)) 1/9)) 1/3)> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (pow x 2)) 1/27)) 1/9)) 1/3)> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))> |
#<alt (/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (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 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 (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 (/ 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 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)> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ 1 x) |
| 0.0ms | x | @ | -inf | (/ 6 x) |
| 0.0ms | x | @ | inf | (/ 6 x) |
| 0.0ms | x | @ | 0 | (/ 6 x) |
| 0.0ms | x | @ | 0 | (/ 1 x) |
| 1× | batch-egg-rewrite |
| 2 734× | /-lowering-/.f32 |
| 2 734× | /-lowering-/.f64 |
| 2 698× | *-lowering-*.f32 |
| 2 698× | *-lowering-*.f64 |
| 1 958× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 61 |
| 1 | 108 | 59 |
| 2 | 545 | 59 |
| 3 | 3173 | 59 |
| 0 | 9585 | 56 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt 6) (sqrt 6)) |
(/ 1 (* (/ 1 (+ (* x x) -3)) (* (sqrt 6) (sqrt 6)))) |
(* (/ 1 (+ (* x x) -3)) (* (sqrt 6) (sqrt 6))) |
(/ 1 (+ (* x x) -3)) |
(* (* x 1/6) x) |
(* x 1/6) |
(/ (* x x) 6) |
(* x x) |
(/ x (/ 6 x)) |
(/ 6 x) |
(/ 1 (* (/ 6 x) (/ 1 x))) |
(* (/ 6 x) (/ 1 x)) |
(/ 1 x) |
| Outputs |
|---|
#s(literal 6 binary64) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(exp.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 6 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -3 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.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))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 6 binary64))) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 6 binary64)) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 6 binary64)) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 6 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 6 binary64))) #s(literal -1 binary64)) (log.f64 (/.f64 (sqrt.f64 #s(literal 6 binary64)) (fma.f64 x x #s(literal -3 binary64)))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 6 binary64)) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 6 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.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)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 6 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 6 binary64))) x) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (sqrt.f64 x) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) |
(neg.f64 (*.f64 #s(literal 1/6 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 -3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 6 binary64)) (/.f64 (fma.f64 x x #s(literal -3 binary64)) (sqrt.f64 #s(literal 6 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 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 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 6 binary64)) (/.f64 (fma.f64 x x #s(literal -3 binary64)) (sqrt.f64 #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 (*.f64 x x) (fma.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 -6 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
(/.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -6 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 6 binary64)) (fma.f64 x x #s(literal -3 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 (*.f64 x x) (fma.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 6 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.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)) (neg.f64 (*.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) (fma.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)) (neg.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (neg.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (neg.f64 (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal -3 binary64))))) |
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 9 binary64)) (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) (sqrt.f64 #s(literal 6 binary64))) (sqrt.f64 #s(literal 6 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 9 binary64))) (neg.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) (sqrt.f64 #s(literal 6 binary64)))) (neg.f64 (sqrt.f64 #s(literal 6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 27 binary64))) (neg.f64 (*.f64 #s(literal -6 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 27 binary64))) (neg.f64 (*.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (neg.f64 (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (neg.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64))) (fma.f64 (*.f64 x x) (fma.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))) (fma.f64 x x #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 27 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 (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) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 x x #s(literal -3 binary64))) |
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) (sqrt.f64 #s(literal 6 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 6 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.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)) #s(literal 1/6 binary64)) (fma.f64 x x #s(literal 3 binary64))) |
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 6 binary64))) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 6 binary64))) x)))) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 6 binary64))) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x #s(literal -6 binary64))) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal 6 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))) (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal 6 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))) (*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal 6 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 6 binary64))) x))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 6 binary64))) x))) |
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 6 binary64))) x) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) x)) |
(*.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(*.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 6 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -6 binary64)) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 6 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 16 580× | accelerator-lowering-fma.f32 |
| 16 580× | accelerator-lowering-fma.f64 |
| 4 374× | *-lowering-*.f32 |
| 4 374× | *-lowering-*.f64 |
| 1 970× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 1111 |
| 1 | 211 | 846 |
| 2 | 570 | 846 |
| 3 | 1404 | 846 |
| 4 | 4169 | 822 |
| 5 | 6960 | 822 |
| 0 | 8089 | 801 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -3 (pow (sqrt 6) 2)) |
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2)))) |
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2)))) |
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2)))) |
(/ (pow x 2) (pow (sqrt 6) 2)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(/ (pow x 2) (pow (sqrt 6) 2)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(* -1/3 (pow (sqrt 6) 2)) |
(+ (* -1/3 (pow (sqrt 6) 2)) (* -1/9 (* (pow x 2) (pow (sqrt 6) 2)))) |
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* -1/27 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/9 (pow (sqrt 6) 2))))) |
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/27 (pow (sqrt 6) 2)))) (* 1/9 (pow (sqrt 6) 2))))) |
(/ (pow (sqrt 6) 2) (pow x 2)) |
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2)) |
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2)) |
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2)) |
(/ (pow (sqrt 6) 2) (pow x 2)) |
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2)) |
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2)) |
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2)) |
-1/3 |
(- (* -1/9 (pow x 2)) 1/3) |
(- (* (pow x 2) (- (* -1/27 (pow x 2)) 1/9)) 1/3) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (pow x 2)) 1/27)) 1/9)) 1/3) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (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 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 (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)) |
(/ 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 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
| Outputs |
|---|
(/ -3 (pow (sqrt 6) 2)) |
#s(literal -1/2 binary64) |
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2)))) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2)))) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2)))) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(/ (pow x 2) (pow (sqrt 6) 2)) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(/ (pow x 2) (pow (sqrt 6) 2)) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* -1/3 (pow (sqrt 6) 2)) |
#s(literal -2 binary64) |
(+ (* -1/3 (pow (sqrt 6) 2)) (* -1/9 (* (pow x 2) (pow (sqrt 6) 2)))) |
(fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* -1/27 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/9 (pow (sqrt 6) 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/9 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/27 (pow (sqrt 6) 2)))) (* 1/9 (pow (sqrt 6) 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/27 binary64) #s(literal -2/9 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(/ (pow (sqrt 6) 2) (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (/.f64 #s(literal -162 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x)) |
(/ (pow (sqrt 6) 2) (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2)) |
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x)) |
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (/.f64 #s(literal -162 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x)) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* -1/9 (pow x 2)) 1/3) |
(fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) |
(- (* (pow x 2) (- (* -1/27 (pow x 2)) 1/9)) 1/3) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/27 binary64)) #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (pow x 2)) 1/27)) 1/9)) 1/3) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/81 binary64) #s(literal -1/27 binary64)) #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 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 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(/ 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 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(/ 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 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) |
Compiled 13 264 to 1 565 computations (88.2% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 860 | 3 | 863 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 863 | 10 | 873 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
| ✓ | 99.9% | (/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)) |
| ✓ | 51.9% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| 51.8% | (/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) | |
| ✓ | 51.8% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| 51.8% | (*.f64 (/.f64 x #s(literal 6 binary64)) x) | |
| ✓ | 51.8% | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| 2.3% | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) | |
| ✓ | 51.8% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | 48.1% | #s(literal -1/2 binary64) |
Compiled 291 to 116 computations (60.1% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(/.f64 (fma.f64 x x #s(literal -3 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) (*.f64 x x))) |
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) |
(*.f64 (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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(/.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 (*.f64 x x) #s(literal 1/36 binary64))) x #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 6 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -81 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #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)) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)) |
4 calls:
| 9.0ms | x |
| 7.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 6.0ms | (*.f64 x x) |
| 5.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 99.9% | 1 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 99.9% | 1 | (*.f64 x x) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
4 calls:
| 3.0ms | x |
| 3.0ms | (*.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 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| Outputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
4 calls:
| 5.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 2.0ms | x |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 2 | x |
| 98.2% | 2 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 98.2% | 2 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 98.2% | 2 | (*.f64 x x) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| Outputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
4 calls:
| 2.0ms | x |
| 2.0ms | (*.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 |
|---|---|---|
| 98.1% | 2 | x |
| 98.1% | 2 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 98.1% | 2 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 98.1% | 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:
| 2.0ms | 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 |
|---|---|---|
| 48.1% | 1 | x |
| 48.1% | 1 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 48.1% | 1 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 48.1% | 1 | (*.f64 x x) |
Compiled 20 to 13 computations (35% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9710274018283056 | 517.7486804490395 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9710274018283056 | 517.7486804490395 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 37 |
| 1 | 19 | 37 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) |
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) |
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
#s(literal -1/2 binary64) |
| 7 892× | accelerator-lowering-fma.f32 |
| 7 892× | accelerator-lowering-fma.f64 |
| 5 712× | *-lowering-*.f32 |
| 5 712× | *-lowering-*.f64 |
| 5 168× | /-lowering-/.f32 |
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 |
| 0 | 6 | 15 |
| 1 | 39 | 15 |
| 2 | 227 | 15 |
| 3 | 1832 | 15 |
| 0 | 8685 | 13 |
| 0 | 28 | 119 |
| 1 | 160 | 107 |
| 2 | 1063 | 107 |
| 0 | 8945 | 96 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 76 to 44 computations (42.1% saved)
(abs x)
Compiled 106 to 54 computations (49.1% saved)
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