
Time bar (total: 4.3s)
| 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 7 to 7 computations (0% saved)
| 346.0ms | 8 256× | 0 | valid |
ival-div: 75.0ms (47.3% of total)ival-add: 66.0ms (41.6% of total)exact: 8.0ms (5% of total)ival-true: 6.0ms (3.8% of total)ival-assert: 3.0ms (1.9% of total)| 2× | egg-herbie |
| 54× | div-sub |
| 50× | sub-neg |
| 44× | distribute-lft-neg-in |
| 34× | *-commutative |
| 30× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 22 | 15 |
| 2 | 37 | 15 |
| 3 | 78 | 15 |
| 4 | 168 | 15 |
| 5 | 259 | 15 |
| 6 | 298 | 15 |
| 7 | 320 | 15 |
| 8 | 336 | 15 |
| 9 | 349 | 15 |
| 10 | 353 | 15 |
| 0 | 5 | 5 |
| 1 | 6 | 5 |
| 0 | 6 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (+ x 16) 116) |
| Outputs |
|---|
(/ (+ x 16) 116) |
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| Inputs |
|---|
(/ (+ x 16) 116) |
(/ (+ (neg x) 16) 116) |
(neg (/ (+ (neg x) 16) 116)) |
| Outputs |
|---|
(/ (+ x 16) 116) |
(+ 4/29 (* x 1/116)) |
(/ (+ (neg x) 16) 116) |
(+ (* x -1/116) 4/29) |
(neg (/ (+ (neg x) 16) 116)) |
(+ -4/29 (* x 1/116)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 16 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 16 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 116 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 |
| 137.0ms | 512× | 0 | valid |
Compiled 38 to 24 computations (36.8% saved)
ival-div: 4.0ms (49% of total)ival-add: 3.0ms (36.7% 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 |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 16 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 4× | +-lowering-+.f64 |
| 4× | +-lowering-+.f32 |
| 2× | /-lowering-/.f32 |
| 2× | /-lowering-/.f64 |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 1 | 6 | 11 |
| 0 | 6 | 11 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ x 16) 116) |
(+ x 16) |
x |
16 |
116 |
| Outputs |
|---|
(/ (+ x 16) 116) |
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
(+ x 16) |
(+.f64 x #s(literal 16 binary64)) |
x |
16 |
#s(literal 16 binary64) |
116 |
#s(literal 116 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 16 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 11.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-add: 3.0ms (55.3% of total)ival-div: 2.0ms (36.8% 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 16) 116)> |
#<alt (+ x 16)> |
| Outputs |
|---|
#<alt 4/29> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (* 1/116 x)> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* 1/116 x)> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt 16> |
#<alt (+ 16 x)> |
#<alt (+ 16 x)> |
#<alt (+ 16 x)> |
#<alt x> |
#<alt (* x (+ 1 (* 16 (/ 1 x))))> |
#<alt (* x (+ 1 (* 16 (/ 1 x))))> |
#<alt (* x (+ 1 (* 16 (/ 1 x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 16 (/ 1 x))))> |
#<alt (* x (+ 1 (* 16 (/ 1 x))))> |
#<alt (* x (+ 1 (* 16 (/ 1 x))))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/ (+ x 16) 116) |
| 0.0ms | x | @ | -inf | (/ (+ x 16) 116) |
| 0.0ms | x | @ | 0 | (/ (+ x 16) 116) |
| 0.0ms | x | @ | -inf | (+ x 16) |
| 0.0ms | x | @ | 0 | (+ x 16) |
| 1× | batch-egg-rewrite |
| 5 334× | /-lowering-/.f32 |
| 5 334× | /-lowering-/.f64 |
| 3 418× | *-lowering-*.f32 |
| 3 418× | *-lowering-*.f64 |
| 2 760× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 31 | 8 |
| 2 | 175 | 8 |
| 3 | 1443 | 8 |
| 0 | 8417 | 7 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ x 16) 116) |
(+ x 16) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)))) |
(+.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))))) |
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)) |
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x)) |
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64))) |
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))) |
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64))) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64)) #s(literal -4/29 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))) #s(literal -116 binary64)) (/.f64 (/.f64 #s(literal -256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal -116 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal 65536 binary64)))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal 65536 binary64)))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))) (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (*.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64)))) (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal 65536 binary64))))) (/.f64 #s(literal 16777216 binary64) (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal 65536 binary64)))))) |
(-.f64 (/.f64 #s(literal 256 binary64) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x))) (/.f64 (*.f64 x x) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 x x #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 x x #s(literal 256 binary64))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)))) |
(fma.f64 (/.f64 x (+.f64 x #s(literal -16 binary64))) (/.f64 x #s(literal 116 binary64)) (neg.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))))) |
(fma.f64 (/.f64 x #s(literal 116 binary64)) (/.f64 x (+.f64 x #s(literal -16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))))) |
(neg.f64 (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64))) |
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
(/.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -116 binary64)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)) (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)) (*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)) (neg.f64 (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)) (neg.f64 (*.f64 #s(literal -116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 116 binary64) (+.f64 x #s(literal 16 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x) #s(literal -4096 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x) #s(literal -4096 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (+.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal 16777216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 68719476736 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -16777216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal 65536 binary64)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -16777216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x)) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -65536 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (*.f64 #s(literal 1/116 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x) #s(literal -4096 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)) (*.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64)))))) |
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(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -16777216 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal 65536 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -16777216 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal 65536 binary64)))) (-.f64 #s(literal 16 binary64) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x #s(literal 16 binary64) #s(literal 256 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (+.f64 x #s(literal -16 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (-.f64 #s(literal 16 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x) #s(literal -4096 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -16 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x))) |
| 1× | egg-herbie |
| 72× | *-lowering-*.f32 |
| 72× | *-lowering-*.f64 |
| 32× | associate-*r* |
| 32× | associate-*l* |
| 28× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 82 |
| 1 | 41 | 82 |
| 2 | 67 | 82 |
| 3 | 140 | 82 |
| 4 | 140 | 82 |
| 5 | 143 | 82 |
| 6 | 148 | 82 |
| 7 | 148 | 82 |
| 0 | 148 | 73 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
4/29 |
(+ 4/29 (* 1/116 x)) |
(+ 4/29 (* 1/116 x)) |
(+ 4/29 (* 1/116 x)) |
(* 1/116 x) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* 1/116 x) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
16 |
(+ 16 x) |
(+ 16 x) |
(+ 16 x) |
x |
(* x (+ 1 (* 16 (/ 1 x)))) |
(* x (+ 1 (* 16 (/ 1 x)))) |
(* x (+ 1 (* 16 (/ 1 x)))) |
x |
(* x (+ 1 (* 16 (/ 1 x)))) |
(* x (+ 1 (* 16 (/ 1 x)))) |
(* x (+ 1 (* 16 (/ 1 x)))) |
| Outputs |
|---|
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* 1/116 x) |
(*.f64 #s(literal 1/116 binary64) x) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* 1/116 x) |
(*.f64 #s(literal 1/116 binary64) x) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
16 |
#s(literal 16 binary64) |
(+ 16 x) |
(+.f64 x #s(literal 16 binary64)) |
(+ 16 x) |
(+.f64 x #s(literal 16 binary64)) |
(+ 16 x) |
(+.f64 x #s(literal 16 binary64)) |
x |
(* x (+ 1 (* 16 (/ 1 x)))) |
(+.f64 x #s(literal 16 binary64)) |
(* x (+ 1 (* 16 (/ 1 x)))) |
(+.f64 x #s(literal 16 binary64)) |
(* x (+ 1 (* 16 (/ 1 x)))) |
(+.f64 x #s(literal 16 binary64)) |
x |
(* x (+ 1 (* 16 (/ 1 x)))) |
(+.f64 x #s(literal 16 binary64)) |
(* x (+ 1 (* 16 (/ 1 x)))) |
(+.f64 x #s(literal 16 binary64)) |
(* x (+ 1 (* 16 (/ 1 x)))) |
(+.f64 x #s(literal 16 binary64)) |
Compiled 10 358 to 1 234 computations (88.1% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 433 | 7 | 440 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 434 | 7 | 441 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
| 75.4% | (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) | |
| 56.0% | (/.f64 x #s(literal 116 binary64)) | |
| ▶ | 99.9% | (+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) |
| ▶ | 99.9% | (*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64)) |
| ▶ | 55.9% | (*.f64 #s(literal 1/116 binary64) x) |
| ▶ | 44.1% | #s(literal 4/29 binary64) |
Compiled 74 to 58 computations (21.6% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 x #s(literal 1/116 binary64)) |
| ✓ | cost-diff | 192 | (+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 #s(literal 1/116 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal -16 binary64) x) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64)) |
| 60× | accelerator-lowering-fma.f32 |
| 60× | accelerator-lowering-fma.f64 |
| 48× | +-lowering-+.f64 |
| 48× | +-lowering-+.f32 |
| 40× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 14 | 36 |
| 2 | 25 | 36 |
| 3 | 38 | 36 |
| 4 | 57 | 36 |
| 5 | 74 | 36 |
| 6 | 103 | 36 |
| 7 | 129 | 36 |
| 8 | 141 | 36 |
| 9 | 144 | 36 |
| 0 | 144 | 33 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (- -16 x) -1/116) |
(- -16 x) |
-16 |
x |
-1/116 |
4/29 |
(* 1/116 x) |
1/116 |
x |
(+ (* x 1/116) 4/29) |
x |
1/116 |
4/29 |
(+ (* x 1/116) 4/29) |
(* x 1/116) |
x |
1/116 |
4/29 |
| Outputs |
|---|
(* (- -16 x) -1/116) |
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
(- -16 x) |
(-.f64 #s(literal -16 binary64) x) |
-16 |
#s(literal -16 binary64) |
x |
-1/116 |
#s(literal -1/116 binary64) |
4/29 |
#s(literal 4/29 binary64) |
(* 1/116 x) |
(fma.f64 x #s(literal 1/116 binary64) #s(literal 0 binary64)) |
1/116 |
#s(literal 1/116 binary64) |
x |
(+ (* x 1/116) 4/29) |
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
x |
1/116 |
#s(literal 1/116 binary64) |
4/29 |
#s(literal 4/29 binary64) |
(+ (* x 1/116) 4/29) |
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
(* x 1/116) |
(fma.f64 x #s(literal 1/116 binary64) #s(literal 0 binary64)) |
x |
1/116 |
#s(literal 1/116 binary64) |
4/29 |
#s(literal 4/29 binary64) |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x #s(literal 1/116 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 1/116 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal -16 binary64) x) |
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64)) |
| 32.0ms | 256× | 0 | valid |
Compiled 37 to 12 computations (67.6% saved)
const: 9.0ms (46% of total)ival-mult: 8.0ms (40.9% of total)ival-sub: 2.0ms (10.2% of total)ival-add: 1.0ms (5.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (- -16 x) -1/116)> |
#<alt (- -16 x)> |
#<alt (* 1/116 x)> |
#<alt (+ (* x 1/116) 4/29)> |
#<alt (+ (* x 1/116) 4/29)> |
#<alt (* x 1/116)> |
| Outputs |
|---|
#<alt 4/29> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (* 1/116 x)> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* 1/116 x)> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt -16> |
#<alt (- (* -1 x) 16)> |
#<alt (- (* -1 x) 16)> |
#<alt (- (* -1 x) 16)> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt 4/29> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (* 1/116 x)> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* 1/116 x)> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt 4/29> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (* 1/116 x)> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* 1/116 x)> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (* 1/116 x) |
| 0.0ms | x | @ | -inf | (* 1/116 x) |
| 0.0ms | x | @ | 0 | (* 1/116 x) |
| 0.0ms | x | @ | -inf | (* (- -16 x) -1/116) |
| 0.0ms | x | @ | inf | (+ (* x 1/116) 4/29) |
| 1× | batch-egg-rewrite |
| 5 712× | accelerator-lowering-fma.f32 |
| 5 712× | accelerator-lowering-fma.f64 |
| 3 990× | /-lowering-/.f32 |
| 3 990× | /-lowering-/.f64 |
| 3 602× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 24 |
| 1 | 43 | 24 |
| 2 | 286 | 24 |
| 3 | 2405 | 24 |
| 0 | 8259 | 21 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (- -16 x) -1/116) |
(- -16 x) |
(* 1/116 x) |
(+ (* x 1/116) 4/29) |
(+ (* x 1/116) 4/29) |
(* x 1/116) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) |
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))) |
(-.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/181063936 binary64) (fma.f64 (*.f64 x x) #s(literal 1/707281 binary64) #s(literal 256/707281 binary64)))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/181063936 binary64) (fma.f64 (*.f64 x x) #s(literal 1/707281 binary64) #s(literal 256/707281 binary64)))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/181063936 binary64)) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal 16/841 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal 16/841 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal 64/24389 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/116 binary64) #s(literal 4/29 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) (fma.f64 x #s(literal -1/116 binary64) #s(literal 4/29 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64))) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64))))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64))))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/116 binary64) #s(literal 4/29 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))) (neg.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/116 binary64) (+.f64 #s(literal 4096 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal -16 binary64) x) #s(literal 256 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/116 binary64) (+.f64 #s(literal -256 binary64) (*.f64 x x)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal 64/24389 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal -1/116 binary64) #s(literal 4/29 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 4096 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/116 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal -16 binary64) x) #s(literal 256 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -256 binary64) (*.f64 x x)) #s(literal -1/116 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/3802961274698203136 binary64) #s(literal 262144/14507145975869 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64)) #s(literal 4096/594823321 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/594823321 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64)) #s(literal -4096/594823321 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64)) #s(literal -4096/594823321 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/181063936 binary64) (fma.f64 (*.f64 x x) #s(literal 1/707281 binary64) #s(literal 256/707281 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal 16/841 binary64)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))) (pow.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal -16 binary64) x) #s(literal 256 binary64)) (*.f64 #s(literal -1/116 binary64) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal -16 binary64) x) (*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64)) |
(*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal -16 binary64) x)) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal 64/24389 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -4096 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal -16 binary64) x) #s(literal 256 binary64))) #s(literal -1/116 binary64))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -4096 binary64)) (/.f64 #s(literal -1/116 binary64) (fma.f64 x (+.f64 #s(literal -16 binary64) x) #s(literal 256 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))) |
(*.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) x)) #s(literal -1/116 binary64))) |
(*.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (/.f64 #s(literal -1/116 binary64) (+.f64 #s(literal -16 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/116 binary64) #s(literal 4/29 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal 64/24389 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal 64/24389 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64))))) |
(*.f64 (*.f64 #s(literal -1/116 binary64) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal -16 binary64) x) #s(literal 256 binary64)))) |
(*.f64 (*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/116 binary64) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (fma.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) (*.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) (*.f64 x (+.f64 #s(literal -16 binary64) x))) #s(literal 16777216 binary64))) (fma.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal 256 binary64)) #s(literal 65536 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/116 binary64) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (-.f64 #s(literal 65536 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) (*.f64 x (+.f64 #s(literal -16 binary64) x))))) (-.f64 #s(literal 256 binary64) (*.f64 x (+.f64 #s(literal -16 binary64) x)))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x x))) (-.f64 #s(literal 256 binary64) (*.f64 x x))) (-.f64 #s(literal -16 binary64) x)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (fma.f64 x (-.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64))))) (fma.f64 (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) (*.f64 (*.f64 x x) #s(literal 1/13456 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/181063936 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal 64/24389 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) (*.f64 x #s(literal 1/841 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) (*.f64 x #s(literal 1/841 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/181063936 binary64) (fma.f64 (*.f64 x x) #s(literal 1/707281 binary64) #s(literal 256/707281 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal 16/841 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/3802961274698203136 binary64) #s(literal 262144/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64)) #s(literal 4096/594823321 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/594823321 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64)))) |
(exp.f64 (log.f64 (*.f64 x #s(literal 1/116 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/116 binary64))) #s(literal 1 binary64))) |
(neg.f64 (*.f64 x #s(literal -1/116 binary64))) |
(pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/116 binary64)) |
(*.f64 x (exp.f64 (log.f64 #s(literal 1/116 binary64)))) |
(*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal -1/116 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/116 binary64) x) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/116 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/116 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x #s(literal -1/116 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal -1/116 binary64)) |
(*.f64 (exp.f64 (log.f64 #s(literal 1/116 binary64))) x) |
| 1× | egg-herbie |
| 196× | accelerator-lowering-fma.f32 |
| 196× | accelerator-lowering-fma.f64 |
| 144× | *-lowering-*.f32 |
| 144× | *-lowering-*.f64 |
| 92× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 269 |
| 1 | 51 | 269 |
| 2 | 113 | 260 |
| 3 | 280 | 260 |
| 4 | 341 | 260 |
| 5 | 383 | 260 |
| 6 | 418 | 260 |
| 7 | 467 | 260 |
| 8 | 507 | 260 |
| 9 | 514 | 260 |
| 10 | 517 | 260 |
| 11 | 519 | 260 |
| 0 | 519 | 233 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
4/29 |
(+ 4/29 (* 1/116 x)) |
(+ 4/29 (* 1/116 x)) |
(+ 4/29 (* 1/116 x)) |
(* 1/116 x) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* 1/116 x) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
-16 |
(- (* -1 x) 16) |
(- (* -1 x) 16) |
(- (* -1 x) 16) |
(* -1 x) |
(* -1 (* x (+ 1 (* 16 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 16 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 16 (/ 1 x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 16 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 16 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 16 (/ 1 x))))) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
4/29 |
(+ 4/29 (* 1/116 x)) |
(+ 4/29 (* 1/116 x)) |
(+ 4/29 (* 1/116 x)) |
(* 1/116 x) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* 1/116 x) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
4/29 |
(+ 4/29 (* 1/116 x)) |
(+ 4/29 (* 1/116 x)) |
(+ 4/29 (* 1/116 x)) |
(* 1/116 x) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* 1/116 x) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
| Outputs |
|---|
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
-16 |
#s(literal -16 binary64) |
(- (* -1 x) 16) |
(-.f64 #s(literal -16 binary64) x) |
(- (* -1 x) 16) |
(-.f64 #s(literal -16 binary64) x) |
(- (* -1 x) 16) |
(-.f64 #s(literal -16 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* 16 (/ 1 x))))) |
(-.f64 #s(literal -16 binary64) x) |
(* -1 (* x (+ 1 (* 16 (/ 1 x))))) |
(-.f64 #s(literal -16 binary64) x) |
(* -1 (* x (+ 1 (* 16 (/ 1 x))))) |
(-.f64 #s(literal -16 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* 16 (/ 1 x))))) |
(-.f64 #s(literal -16 binary64) x) |
(* -1 (* x (+ 1 (* 16 (/ 1 x))))) |
(-.f64 #s(literal -16 binary64) x) |
(* -1 (* x (+ 1 (* 16 (/ 1 x))))) |
(-.f64 #s(literal -16 binary64) x) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
Compiled 17 144 to 1 066 computations (93.8% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 714 | 0 | 714 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 714 | 7 | 721 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
| ▶ | 75.4% | (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) |
| ▶ | 56.0% | (/.f64 x #s(literal 116 binary64)) |
| ✓ | 99.9% | (+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) |
| ✓ | 99.9% | (*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64)) |
| ✓ | 55.9% | (*.f64 #s(literal 1/116 binary64) x) |
| ✓ | 44.1% | #s(literal 4/29 binary64) |
Compiled 37 to 29 computations (21.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal -256 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 116 binary64)) |
| 8× | +-lowering-+.f64 |
| 8× | +-lowering-+.f32 |
| 6× | *-lowering-*.f32 |
| 6× | *-lowering-*.f64 |
| 6× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 13 | 30 |
| 0 | 13 | 26 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x 116) |
x |
116 |
(/ (+ (* x x) -256) (+ (* x 116) -1856)) |
(+ (* x x) -256) |
x |
-256 |
(+ (* x 116) -1856) |
116 |
-1856 |
| Outputs |
|---|
(/ x 116) |
(/.f64 x #s(literal 116 binary64)) |
x |
116 |
#s(literal 116 binary64) |
(/ (+ (* x x) -256) (+ (* x 116) -1856)) |
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) |
(+ (* x x) -256) |
(fma.f64 x x #s(literal -256 binary64)) |
x |
-256 |
#s(literal -256 binary64) |
(+ (* x 116) -1856) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
116 |
#s(literal 116 binary64) |
-1856 |
#s(literal -1856 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x x #s(literal -256 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
| ✓ | accuracy | 75.4% | (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal 116 binary64)) |
| 17.0ms | 250× | 0 | valid |
| 1.0ms | 5× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 28 to 12 computations (57.1% saved)
ival-div: 4.0ms (39.4% of total)ival-mult: 3.0ms (29.6% of total)ival-add: 2.0ms (19.7% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ x 116)> |
#<alt (/ (+ (* x x) -256) (+ (* x 116) -1856))> |
#<alt (+ (* x x) -256)> |
#<alt (+ (* x 116) -1856)> |
| Outputs |
|---|
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt (* 1/116 x)> |
#<alt 4/29> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (* 1/116 x)> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* 1/116 x)> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))> |
#<alt -256> |
#<alt (- (pow x 2) 256)> |
#<alt (- (pow x 2) 256)> |
#<alt (- (pow x 2) 256)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))> |
#<alt -1856> |
#<alt (- (* 116 x) 1856)> |
#<alt (- (* 116 x) 1856)> |
#<alt (- (* 116 x) 1856)> |
#<alt (* 116 x)> |
#<alt (* x (- 116 (* 1856 (/ 1 x))))> |
#<alt (* x (- 116 (* 1856 (/ 1 x))))> |
#<alt (* x (- 116 (* 1856 (/ 1 x))))> |
#<alt (* 116 x)> |
#<alt (* -1 (* x (- (* 1856 (/ 1 x)) 116)))> |
#<alt (* -1 (* x (- (* 1856 (/ 1 x)) 116)))> |
#<alt (* -1 (* x (- (* 1856 (/ 1 x)) 116)))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (+ (* x x) -256) (+ (* x 116) -1856)) |
| 0.0ms | x | @ | inf | (/ (+ (* x x) -256) (+ (* x 116) -1856)) |
| 0.0ms | x | @ | 0 | (/ (+ (* x x) -256) (+ (* x 116) -1856)) |
| 0.0ms | x | @ | inf | (+ (* x x) -256) |
| 0.0ms | x | @ | inf | (+ (* x 116) -1856) |
| 1× | batch-egg-rewrite |
| 4 930× | *-lowering-*.f32 |
| 4 930× | *-lowering-*.f64 |
| 3 656× | accelerator-lowering-fma.f32 |
| 3 656× | accelerator-lowering-fma.f64 |
| 2 968× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 24 |
| 1 | 61 | 24 |
| 2 | 399 | 24 |
| 3 | 3994 | 24 |
| 0 | 8119 | 20 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x 116) |
(/ (+ (* x x) -256) (+ (* x 116) -1856)) |
(+ (* x x) -256) |
(+ (* x 116) -1856) |
| Outputs |
|---|
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/116 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/116 binary64))) |
(neg.f64 (*.f64 x #s(literal -1/116 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/116 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 116 binary64) x))) |
(/.f64 x #s(literal 116 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 116 binary64) x)) |
(/.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -116 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -116 binary64)) |
(pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 116 binary64) x) (/.f64 #s(literal 116 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/116 binary64))))) #s(literal -1 binary64)) |
(*.f64 x #s(literal 1/116 binary64)) |
(*.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/116 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/116 binary64))) |
(*.f64 #s(literal 1/116 binary64) x) |
(*.f64 #s(literal 1/116 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/116 binary64))) |
(*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal -1/116 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/116 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal -1/116 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) #s(literal -256 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) #s(literal -256 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 (*.f64 x x) #s(literal 13456 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 (*.f64 x x) #s(literal 13456 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) #s(literal -3444736 binary64))) (*.f64 x #s(literal 116 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) #s(literal -3444736 binary64))) #s(literal 1856 binary64))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))) (*.f64 #s(literal -256 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))))) |
(+.f64 (*.f64 #s(literal -256 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))))) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) #s(literal -3444736 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -1856 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3444736 binary64) (*.f64 #s(literal -13456 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1856 binary64) (*.f64 x #s(literal -116 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 1856 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2436396322816 binary64)) #s(literal -40875947369489760256 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 181063936 binary64) (fma.f64 (*.f64 x x) #s(literal 46352367616 binary64) #s(literal 11866206109696 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 1856 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 181063936 binary64) #s(literal -11866206109696 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) #s(literal 3444736 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) #s(literal 3802961274698203136 binary64) #s(literal -261337508844532075825354244096 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2436396322816 binary64)) #s(literal 40875947369489760256 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -9979479338254336 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2436396322816 binary64)) #s(literal -40875947369489760256 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal 6393430016 binary64)))) |
| 1× | egg-herbie |
| 4 060× | *-lowering-*.f32 |
| 4 060× | *-lowering-*.f64 |
| 3 214× | accelerator-lowering-fma.f32 |
| 3 214× | accelerator-lowering-fma.f64 |
| 1 436× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 192 |
| 1 | 75 | 192 |
| 2 | 157 | 192 |
| 3 | 332 | 192 |
| 4 | 657 | 192 |
| 5 | 1097 | 192 |
| 6 | 2127 | 192 |
| 7 | 3766 | 192 |
| 8 | 4896 | 192 |
| 9 | 6109 | 192 |
| 10 | 7618 | 192 |
| 0 | 8126 | 165 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
(* 1/116 x) |
4/29 |
(+ 4/29 (* 1/116 x)) |
(+ 4/29 (* 1/116 x)) |
(+ 4/29 (* 1/116 x)) |
(* 1/116 x) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* 1/116 x) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
-256 |
(- (pow x 2) 256) |
(- (pow x 2) 256) |
(- (pow x 2) 256) |
(pow x 2) |
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) |
-1856 |
(- (* 116 x) 1856) |
(- (* 116 x) 1856) |
(- (* 116 x) 1856) |
(* 116 x) |
(* x (- 116 (* 1856 (/ 1 x)))) |
(* x (- 116 (* 1856 (/ 1 x)))) |
(* x (- 116 (* 1856 (/ 1 x)))) |
(* 116 x) |
(* -1 (* x (- (* 1856 (/ 1 x)) 116))) |
(* -1 (* x (- (* 1856 (/ 1 x)) 116))) |
(* -1 (* x (- (* 1856 (/ 1 x)) 116))) |
| Outputs |
|---|
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* 1/116 x) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(* x (+ 1/116 (* 4/29 (/ 1 x)))) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
-256 |
#s(literal -256 binary64) |
(- (pow x 2) 256) |
(fma.f64 x x #s(literal -256 binary64)) |
(- (pow x 2) 256) |
(fma.f64 x x #s(literal -256 binary64)) |
(- (pow x 2) 256) |
(fma.f64 x x #s(literal -256 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -256 binary64)) |
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -256 binary64)) |
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -256 binary64)) |
(pow x 2) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -256 binary64)) |
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -256 binary64)) |
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -256 binary64)) |
-1856 |
#s(literal -1856 binary64) |
(- (* 116 x) 1856) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(- (* 116 x) 1856) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(- (* 116 x) 1856) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(* 116 x) |
(fma.f64 x #s(literal 116 binary64) #s(literal 0 binary64)) |
(* x (- 116 (* 1856 (/ 1 x)))) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(* x (- 116 (* 1856 (/ 1 x)))) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(* x (- 116 (* 1856 (/ 1 x)))) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(* 116 x) |
(fma.f64 x #s(literal 116 binary64) #s(literal 0 binary64)) |
(* -1 (* x (- (* 1856 (/ 1 x)) 116))) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(* -1 (* x (- (* 1856 (/ 1 x)) 116))) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(* -1 (* x (- (* 1856 (/ 1 x)) 116))) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
Compiled 11 783 to 1 298 computations (89% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 472 | 1 | 473 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 5 | 5 |
| Total | 473 | 7 | 480 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
| ✓ | 56.0% | (/.f64 x #s(literal 116 binary64)) |
| ▶ | 43.5% | (/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) |
| ✓ | 99.9% | (+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) |
| ✓ | 99.9% | (*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64)) |
| ✓ | 55.9% | (*.f64 #s(literal 1/116 binary64) x) |
| ✓ | 44.1% | #s(literal 4/29 binary64) |
Compiled 34 to 28 computations (17.6% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) |
| 4× | +-lowering-+.f64 |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 4× | +-lowering-+.f32 |
| 4× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 16 |
| 1 | 9 | 16 |
| 0 | 9 | 14 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ -256 (+ (* x 116) -1856)) |
-256 |
(+ (* x 116) -1856) |
x |
116 |
-1856 |
| Outputs |
|---|
(/ -256 (+ (* x 116) -1856)) |
(/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) |
-256 |
#s(literal -256 binary64) |
(+ (* x 116) -1856) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
x |
116 |
#s(literal 116 binary64) |
-1856 |
#s(literal -1856 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) |
| 12.0ms | 250× | 0 | valid |
| 0.0ms | 5× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 16 to 9 computations (43.8% saved)
ival-div: 2.0ms (34.4% of total)ival-mult: 2.0ms (34.4% of total)ival-add: 1.0ms (17.2% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ -256 (+ (* x 116) -1856))> |
#<alt (+ (* x 116) -1856)> |
| Outputs |
|---|
#<alt 4/29> |
#<alt (+ 4/29 (* 1/116 x))> |
#<alt (+ 4/29 (* x (+ 1/116 (* 1/1856 x))))> |
#<alt (+ 4/29 (* x (+ 1/116 (* x (+ 1/1856 (* 1/29696 x))))))> |
#<alt (/ -64/29 x)> |
#<alt (* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))> |
#<alt (/ (- (* -1 (/ (+ 1024/29 (* 16384/29 (/ 1 x))) x)) 64/29) x)> |
#<alt (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) (pow x 2))) (+ 64/29 (* 1024/29 (/ 1 x)))) x)> |
#<alt (/ -64/29 x)> |
#<alt (* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 64/29 (+ (* 1024/29 (/ 1 x)) (/ 16384/29 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 64/29 (* -1 (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) x)) 1024/29) x))) x))> |
#<alt -1856> |
#<alt (- (* 116 x) 1856)> |
#<alt (- (* 116 x) 1856)> |
#<alt (- (* 116 x) 1856)> |
#<alt (* 116 x)> |
#<alt (* x (- 116 (* 1856 (/ 1 x))))> |
#<alt (* x (- 116 (* 1856 (/ 1 x))))> |
#<alt (* x (- 116 (* 1856 (/ 1 x))))> |
#<alt (* 116 x)> |
#<alt (* -1 (* x (- (* 1856 (/ 1 x)) 116)))> |
#<alt (* -1 (* x (- (* 1856 (/ 1 x)) 116)))> |
#<alt (* -1 (* x (- (* 1856 (/ 1 x)) 116)))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/ -256 (+ (* x 116) -1856)) |
| 0.0ms | x | @ | -inf | (/ -256 (+ (* x 116) -1856)) |
| 0.0ms | x | @ | 0 | (/ -256 (+ (* x 116) -1856)) |
| 0.0ms | x | @ | -inf | (+ (* x 116) -1856) |
| 0.0ms | x | @ | 0 | (+ (* x 116) -1856) |
| 1× | batch-egg-rewrite |
| 5 614× | /-lowering-/.f32 |
| 5 614× | /-lowering-/.f64 |
| 5 476× | accelerator-lowering-fma.f32 |
| 5 476× | accelerator-lowering-fma.f64 |
| 4 146× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 12 |
| 1 | 33 | 12 |
| 2 | 206 | 12 |
| 3 | 1740 | 12 |
| 0 | 8613 | 10 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -256 (+ (* x 116) -1856)) |
(+ (* x 116) -1856) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 x (*.f64 x #s(literal 13456 binary64)))) (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64))) (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 x (*.f64 x #s(literal 13456 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))) (*.f64 x #s(literal 116 binary64))) (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))) #s(literal 1856 binary64))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 13456 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))) (*.f64 (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))))) |
(+.f64 (*.f64 (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))) (*.f64 (*.f64 x (*.f64 x #s(literal 13456 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))))) |
(+.f64 (*.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)))) (*.f64 #s(literal 1856 binary64) (/.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) #s(literal -1/256 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal 1856 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal 1856 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal 3444736 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) #s(literal -1/256 binary64)) (/.f64 (/.f64 (*.f64 x #s(literal -215296 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) #s(literal -1/256 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x #s(literal 116 binary64)) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))) #s(literal -1/256 binary64)) (/.f64 (/.f64 #s(literal -1856 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))) #s(literal -1/256 binary64))) |
(fma.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))) (*.f64 #s(literal 1856 binary64) (/.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 13456 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))))) |
(fma.f64 (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 13456 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))))) |
(fma.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 x (*.f64 x #s(literal 13456 binary64))) (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)))) |
(fma.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 x (*.f64 x #s(literal 13456 binary64))))) |
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(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2436396322816 binary64)) #s(literal -40875947369489760256 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 181063936 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 46352367616 binary64) #s(literal 11866206109696 binary64)))) (fma.f64 x #s(literal -116 binary64) #s(literal -1856 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2436396322816 binary64)) #s(literal -40875947369489760256 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (+.f64 #s(literal 3444736 binary64) (*.f64 #s(literal -13456 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 181063936 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 46352367616 binary64) #s(literal 11866206109696 binary64)))) (-.f64 #s(literal -1856 binary64) (*.f64 x #s(literal 116 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 181063936 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -11866206109696 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal 6393430016 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal 3444736 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) (fma.f64 x #s(literal -215296 binary64) #s(literal 3444736 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 181063936 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -11866206109696 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal 3444736 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 181063936 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -11866206109696 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64) #s(literal 6393430016 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal 3444736 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 181063936 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -11866206109696 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal 3444736 binary64))) (fma.f64 x #s(literal -116 binary64) #s(literal -1856 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 181063936 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -11866206109696 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (+.f64 #s(literal 3444736 binary64) (*.f64 #s(literal -13456 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal 3444736 binary64))) (-.f64 #s(literal -1856 binary64) (*.f64 x #s(literal 116 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -1856 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64) #s(literal 6393430016 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -1856 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (+.f64 #s(literal 3444736 binary64) (*.f64 #s(literal -13456 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1856 binary64) (*.f64 x #s(literal 116 binary64))))) |
| 1× | egg-herbie |
| 7 212× | accelerator-lowering-fma.f32 |
| 7 212× | accelerator-lowering-fma.f64 |
| 2 000× | *-lowering-*.f32 |
| 2 000× | *-lowering-*.f64 |
| 1 380× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 162 |
| 1 | 177 | 158 |
| 2 | 398 | 152 |
| 3 | 804 | 152 |
| 4 | 1579 | 152 |
| 5 | 3167 | 152 |
| 6 | 5282 | 152 |
| 7 | 6469 | 152 |
| 8 | 7219 | 152 |
| 9 | 7519 | 152 |
| 10 | 7640 | 152 |
| 11 | 7919 | 152 |
| 0 | 8046 | 137 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
4/29 |
(+ 4/29 (* 1/116 x)) |
(+ 4/29 (* x (+ 1/116 (* 1/1856 x)))) |
(+ 4/29 (* x (+ 1/116 (* x (+ 1/1856 (* 1/29696 x)))))) |
(/ -64/29 x) |
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 1024/29 (* 16384/29 (/ 1 x))) x)) 64/29) x) |
(/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) (pow x 2))) (+ 64/29 (* 1024/29 (/ 1 x)))) x) |
(/ -64/29 x) |
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x)) |
(* -1 (/ (+ 64/29 (+ (* 1024/29 (/ 1 x)) (/ 16384/29 (pow x 2)))) x)) |
(* -1 (/ (+ 64/29 (* -1 (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) x)) 1024/29) x))) x)) |
-1856 |
(- (* 116 x) 1856) |
(- (* 116 x) 1856) |
(- (* 116 x) 1856) |
(* 116 x) |
(* x (- 116 (* 1856 (/ 1 x)))) |
(* x (- 116 (* 1856 (/ 1 x)))) |
(* x (- 116 (* 1856 (/ 1 x)))) |
(* 116 x) |
(* -1 (* x (- (* 1856 (/ 1 x)) 116))) |
(* -1 (* x (- (* 1856 (/ 1 x)) 116))) |
(* -1 (* x (- (* 1856 (/ 1 x)) 116))) |
| Outputs |
|---|
4/29 |
#s(literal 4/29 binary64) |
(+ 4/29 (* 1/116 x)) |
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)) |
(+ 4/29 (* x (+ 1/116 (* 1/1856 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/1856 binary64) #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) |
(+ 4/29 (* x (+ 1/116 (* x (+ 1/1856 (* 1/29696 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/29696 binary64) #s(literal 1/1856 binary64)) #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) |
(/ -64/29 x) |
(/.f64 #s(literal -64/29 binary64) x) |
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1024/29 binary64) x)) x) |
(/ (- (* -1 (/ (+ 1024/29 (* 16384/29 (/ 1 x))) x)) 64/29) x) |
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 #s(literal -1024/29 binary64) (/.f64 #s(literal -16384/29 binary64) x)) x)) x) |
(/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) (pow x 2))) (+ 64/29 (* 1024/29 (/ 1 x)))) x) |
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -16384/29 binary64) (/.f64 #s(literal -262144/29 binary64) x)) x) #s(literal -1024/29 binary64)) x)) x) |
(/ -64/29 x) |
(/.f64 #s(literal -64/29 binary64) x) |
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1024/29 binary64) x)) x) |
(* -1 (/ (+ 64/29 (+ (* 1024/29 (/ 1 x)) (/ 16384/29 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 #s(literal -1024/29 binary64) (/.f64 #s(literal -16384/29 binary64) x)) x)) x) |
(* -1 (/ (+ 64/29 (* -1 (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) x)) 1024/29) x))) x)) |
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -16384/29 binary64) (/.f64 #s(literal -262144/29 binary64) x)) x) #s(literal -1024/29 binary64)) x)) x) |
-1856 |
#s(literal -1856 binary64) |
(- (* 116 x) 1856) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(- (* 116 x) 1856) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(- (* 116 x) 1856) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(* 116 x) |
(fma.f64 x #s(literal 116 binary64) #s(literal 0 binary64)) |
(* x (- 116 (* 1856 (/ 1 x)))) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(* x (- 116 (* 1856 (/ 1 x)))) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(* x (- 116 (* 1856 (/ 1 x)))) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(* 116 x) |
(fma.f64 x #s(literal 116 binary64) #s(literal 0 binary64)) |
(* -1 (* x (- (* 1856 (/ 1 x)) 116))) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(* -1 (* x (- (* 1856 (/ 1 x)) 116))) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
(* -1 (* x (- (* 1856 (/ 1 x)) 116))) |
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) |
Compiled 13 038 to 1 368 computations (89.5% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 412 | 0 | 412 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 412 | 7 | 419 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
| ✓ | 56.0% | (/.f64 x #s(literal 116 binary64)) |
| ✓ | 43.5% | (/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) |
| ✓ | 99.9% | (+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) |
| ✓ | 99.9% | (*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64)) |
| ✓ | 55.9% | (*.f64 #s(literal 1/116 binary64) x) |
| ✓ | 44.1% | #s(literal 4/29 binary64) |
Compiled 76 to 50 computations (34.2% saved)
| Inputs |
|---|
#s(literal 4/29 binary64) |
(*.f64 #s(literal 1/116 binary64) x) |
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64)) |
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) |
(/.f64 x #s(literal 116 binary64)) |
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
(/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) |
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
3 calls:
| 3.0ms | x |
| 3.0ms | (+.f64 x #s(literal 16 binary64)) |
| 3.0ms | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 100.0% | 1 | (+.f64 x #s(literal 16 binary64)) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(literal 4/29 binary64) |
(*.f64 #s(literal 1/116 binary64) x) |
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64)) |
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64)) |
(/.f64 x #s(literal 116 binary64)) |
| Outputs |
|---|
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
3 calls:
| 4.0ms | x |
| 2.0ms | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 2.0ms | (+.f64 x #s(literal 16 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 99.9% | 1 | (+.f64 x #s(literal 16 binary64)) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(literal 4/29 binary64) |
(*.f64 #s(literal 1/116 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal 1/116 binary64) x) |
#s(literal 4/29 binary64) |
(*.f64 #s(literal 1/116 binary64) x) |
3 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 1.0ms | (+.f64 x #s(literal 16 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 3 | x |
| 96.6% | 3 | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 96.6% | 3 | (+.f64 x #s(literal 16 binary64)) |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 4/29 binary64) |
| Outputs |
|---|
#s(literal 4/29 binary64) |
3 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 1.0ms | (+.f64 x #s(literal 16 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.1% | 1 | x |
| 44.1% | 1 | (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
| 44.1% | 1 | (+.f64 x #s(literal 16 binary64)) |
Compiled 12 to 9 computations (25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 16.000348732796418 | 298.7321539366638 |
| 0.0ms | -28809.85974297607 | 15.999367571890684 |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | if-if-or-not_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 27 |
| 1 | 20 | 27 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -20000 binary64)) (*.f64 #s(literal 1/116 binary64) x) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))) |
#s(literal 4/29 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)) |
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) |
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -20000 binary64)) (*.f64 #s(literal 1/116 binary64) x) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))) |
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -20000 binary64)) (*.f64 x #s(literal 1/116 binary64)) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64)))) |
#s(literal 4/29 binary64) |
| 5 334× | /-lowering-/.f32 |
| 5 334× | /-lowering-/.f64 |
| 3 418× | *-lowering-*.f32 |
| 3 418× | *-lowering-*.f64 |
| 2 760× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 31 | 8 |
| 2 | 175 | 8 |
| 3 | 1443 | 8 |
| 0 | 8417 | 7 |
| 0 | 15 | 82 |
| 1 | 41 | 82 |
| 2 | 67 | 82 |
| 3 | 140 | 82 |
| 4 | 140 | 82 |
| 5 | 143 | 82 |
| 6 | 148 | 82 |
| 7 | 148 | 82 |
| 0 | 148 | 73 |
| 1× | done |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 43 to 26 computations (39.5% saved)
Compiled 72 to 40 computations (44.4% saved)
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