
Time bar (total: 7.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 9 computations (18.2% saved)
| 376.0ms | 6 290× | 0 | valid |
| 191.0ms | 1 963× | 1 | valid |
| 0.0ms | 3× | 2 | valid |
ival-sub: 128.0ms (46.6% of total)ival-mult: 61.0ms (22.2% of total)ival-add: 46.0ms (16.7% of total)adjust: 25.0ms (9.1% of total)exact: 6.0ms (2.2% of total)ival-true: 6.0ms (2.2% of total)ival-assert: 3.0ms (1.1% of total)| 2× | egg-herbie |
| 30 512× | accelerator-lowering-fma.f32 |
| 30 512× | accelerator-lowering-fma.f64 |
| 3 744× | *-lowering-*.f32 |
| 3 744× | *-lowering-*.f64 |
| 2 596× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 62 |
| 1 | 48 | 55 |
| 2 | 147 | 54 |
| 3 | 632 | 54 |
| 4 | 2211 | 42 |
| 5 | 3860 | 42 |
| 6 | 4928 | 42 |
| 7 | 5456 | 42 |
| 8 | 5713 | 42 |
| 9 | 5865 | 42 |
| 10 | 5954 | 42 |
| 11 | 6074 | 42 |
| 12 | 6415 | 42 |
| 13 | 7128 | 42 |
| 14 | 7479 | 42 |
| 15 | 7744 | 42 |
| 16 | 7903 | 42 |
| 17 | 7952 | 42 |
| 18 | 7960 | 42 |
| 0 | 7 | 9 |
| 1 | 15 | 9 |
| 2 | 34 | 9 |
| 3 | 102 | 9 |
| 4 | 358 | 7 |
| 5 | 1286 | 7 |
| 6 | 3156 | 7 |
| 7 | 4817 | 7 |
| 8 | 5526 | 7 |
| 9 | 5785 | 7 |
| 10 | 5981 | 7 |
| 11 | 6073 | 7 |
| 12 | 6231 | 7 |
| 13 | 6610 | 7 |
| 14 | 6823 | 7 |
| 15 | 6975 | 7 |
| 16 | 7051 | 7 |
| 17 | 7094 | 7 |
| 18 | 7226 | 7 |
| 19 | 7732 | 7 |
| 0 | 8185 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (- 1 x) (- 1 y))) |
| Outputs |
|---|
(+ x (* (- 1 x) (- 1 y))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| Inputs |
|---|
(+ x (* (- 1 x) (- 1 y))) |
(+ (neg x) (* (- 1 (neg x)) (- 1 y))) |
(+ x (* (- 1 x) (- 1 (neg y)))) |
(neg (+ (neg x) (* (- 1 (neg x)) (- 1 y)))) |
(neg (+ x (* (- 1 x) (- 1 (neg y))))) |
(+ y (* (- 1 y) (- 1 x))) |
| Outputs |
|---|
(+ x (* (- 1 x) (- 1 y))) |
(+ 1 (- (* x y) y)) |
(+ (neg x) (* (- 1 (neg x)) (- 1 y))) |
(- 1 (+ y (* x y))) |
(+ x (* (- 1 x) (- 1 (neg y)))) |
(+ 1 (- y (* x y))) |
(neg (+ (neg x) (* (- 1 (neg x)) (- 1 y)))) |
(+ y (+ -1 (* x y))) |
(neg (+ x (* (- 1 x) (- 1 (neg y))))) |
(+ -1 (- (* x y) y)) |
(+ y (* (- 1 y) (- 1 x))) |
(+ 1 (- (* x y) x)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 50 | 3 | (-75389.46959227267 -4.989391598162526e-103) | 0 | - | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) | cancellation | 53 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 50 | 0 |
| - | 3 | 203 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 50 | 0 | 0 |
| - | 3 | 0 | 203 |
| number | freq |
|---|---|
| 0 | 203 |
| 1 | 53 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 40.0ms | 408× | 0 | valid |
| 10.0ms | 104× | 1 | valid |
Compiled 76 to 32 computations (57.9% saved)
ival-mult: 23.0ms (67% of total)ival-sub: 6.0ms (17.5% of total)ival-add: 3.0ms (8.7% of total)adjust: 1.0ms (2.9% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.2% | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 384 | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| 30 512× | accelerator-lowering-fma.f32 |
| 30 512× | accelerator-lowering-fma.f64 |
| 3 744× | *-lowering-*.f32 |
| 3 744× | *-lowering-*.f64 |
| 2 596× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 25 |
| 1 | 15 | 25 |
| 2 | 34 | 25 |
| 3 | 102 | 25 |
| 4 | 358 | 23 |
| 5 | 1286 | 23 |
| 6 | 3156 | 23 |
| 7 | 4817 | 23 |
| 8 | 5526 | 23 |
| 9 | 5785 | 23 |
| 10 | 5981 | 23 |
| 11 | 6073 | 23 |
| 12 | 6231 | 23 |
| 13 | 6610 | 23 |
| 14 | 6823 | 23 |
| 15 | 6975 | 23 |
| 16 | 7051 | 23 |
| 17 | 7094 | 23 |
| 18 | 7226 | 23 |
| 19 | 7732 | 23 |
| 0 | 8185 | 22 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (- 1 x) (- 1 y))) |
x |
(* (- 1 x) (- 1 y)) |
(- 1 x) |
1 |
(- 1 y) |
y |
| Outputs |
|---|
(+ x (* (- 1 x) (- 1 y))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
x |
(* (- 1 x) (- 1 y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 81.2% | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| 10.0ms | 204× | 0 | valid |
| 9.0ms | 52× | 1 | valid |
Compiled 27 to 9 computations (66.7% saved)
ival-sub: 7.0ms (59.9% of total)ival-mult: 2.0ms (17.1% of total)adjust: 1.0ms (8.6% of total)ival-add: 1.0ms (8.6% 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 (* (- 1 x) (- 1 y)))> |
#<alt (- 1 x)> |
#<alt (- 1 y)> |
#<alt (* (- 1 x) (- 1 y))> |
| Outputs |
|---|
#<alt (- 1 y)> |
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)> |
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)> |
#<alt (- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y)> |
#<alt (* x (+ 1 (* -1 (- 1 y))))> |
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))> |
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))> |
#<alt (* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y (- 1 x))))> |
#<alt (+ 1 (* -1 (* y (- 1 x))))> |
#<alt (+ 1 (* -1 (* y (- 1 x))))> |
#<alt (* -1 (* y (- 1 x)))> |
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))> |
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))> |
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))> |
#<alt (* -1 (* y (- 1 x)))> |
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))> |
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))> |
#<alt (* -1 (* y (- 1 (+ x (/ 1 y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (- 1 y)> |
#<alt (- (+ 1 (* -1 (* x (- 1 y)))) y)> |
#<alt (- (+ 1 (* -1 (* x (- 1 y)))) y)> |
#<alt (- (+ 1 (* -1 (* x (- 1 y)))) y)> |
#<alt (* -1 (* x (- 1 y)))> |
#<alt (* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))> |
#<alt (* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))> |
#<alt (* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x)))> |
#<alt (* -1 (* x (- 1 y)))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y)))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* -1 (* y (- 1 x)))) x)> |
#<alt (- (+ 1 (* -1 (* y (- 1 x)))) x)> |
#<alt (- (+ 1 (* -1 (* y (- 1 x)))) x)> |
#<alt (* -1 (* y (- 1 x)))> |
#<alt (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)))> |
#<alt (* -1 (* y (- 1 x)))> |
#<alt (* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))> |
#<alt (* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))> |
#<alt (* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x)))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ x (* (- 1 x) (- 1 y))) |
| 0.0ms | y | @ | -inf | (+ x (* (- 1 x) (- 1 y))) |
| 0.0ms | x | @ | 0 | (+ x (* (- 1 x) (- 1 y))) |
| 0.0ms | y | @ | inf | (+ x (* (- 1 x) (- 1 y))) |
| 0.0ms | y | @ | 0 | (+ x (* (- 1 x) (- 1 y))) |
| 1× | batch-egg-rewrite |
| 5 364× | accelerator-lowering-fma.f32 |
| 5 364× | accelerator-lowering-fma.f64 |
| 3 608× | *-lowering-*.f32 |
| 3 608× | *-lowering-*.f64 |
| 2 212× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 22 |
| 1 | 48 | 22 |
| 2 | 427 | 22 |
| 3 | 5491 | 22 |
| 0 | 8684 | 21 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* (- 1 x) (- 1 y))) |
(- 1 x) |
(- 1 y) |
(* (- 1 x) (- 1 y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y) x)) |
(+.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x) x)) |
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) x) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))))) |
(+.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y))) |
(+.f64 (+.f64 x (+.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y) x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) x))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 x (/.f64 x (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y) x)) |
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y) (fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x) x)) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y) x)) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x) x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) (-.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))))) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x) x)) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x) x)) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) x) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) x) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) x) |
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y) x)) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y) x)) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) x) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) x) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal 1 binary64))) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) x) |
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(pow.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 20 464× | accelerator-lowering-fma.f32 |
| 20 464× | accelerator-lowering-fma.f64 |
| 3 336× | +-lowering-+.f64 |
| 3 336× | +-lowering-+.f32 |
| 2 646× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 522 |
| 1 | 186 | 484 |
| 2 | 490 | 362 |
| 3 | 1705 | 362 |
| 4 | 7525 | 362 |
| 0 | 8243 | 344 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(* x (+ 1 (* -1 (- 1 y)))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(* x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* -1 (* y (- 1 x)))) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* -1 (* y (- 1 x))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(- 1 y) |
(- (+ 1 (* -1 (* x (- 1 y)))) y) |
(- (+ 1 (* -1 (* x (- 1 y)))) y) |
(- (+ 1 (* -1 (* x (- 1 y)))) y) |
(* -1 (* x (- 1 y))) |
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) |
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) |
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) |
(* -1 (* x (- 1 y))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) |
(- 1 x) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(* -1 (* y (- 1 x))) |
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) |
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) |
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) |
(* -1 (* y (- 1 x))) |
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) |
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) |
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) |
| Outputs |
|---|
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* x (+ 1 (* -1 (- 1 y))))) y) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (+ 1 (* -1 (- 1 y)))) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ 1 (+ (* -1 (- 1 y)) (/ 1 x))) (/ y x))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* y (- 1 x))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* y (- 1 (+ x (/ 1 y))))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* -1 (* x (- 1 y)))) y) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(- (+ 1 (* -1 (* x (- 1 y)))) y) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(- (+ 1 (* -1 (* x (- 1 y)))) y) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (- 1 y))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* x (- (+ (* -1 (- 1 y)) (/ 1 x)) (/ y x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (- 1 y))) |
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (- (+ 1 (* -1 (/ (- 1 y) x))) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(- (+ 1 (* -1 (* y (- 1 x)))) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* y (- 1 x))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* y (- 1 x))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
Compiled 14 395 to 1 521 computations (89.4% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 591 | 4 | 595 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 592 | 4 | 596 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ▶ | 40.8% | (fma.f64 y x #s(literal 0 binary64)) |
| ▶ | 61.5% | (-.f64 #s(literal 1 binary64) y) |
| ▶ | 37.6% | #s(literal 1 binary64) |
Compiled 22 to 17 computations (22.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| 384× | accelerator-lowering-fma.f32 |
| 384× | accelerator-lowering-fma.f64 |
| 160× | *-lowering-*.f32 |
| 160× | *-lowering-*.f64 |
| 120× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1 | 24 | 26 |
| 2 | 41 | 26 |
| 3 | 61 | 26 |
| 4 | 94 | 26 |
| 5 | 150 | 26 |
| 6 | 273 | 26 |
| 7 | 379 | 26 |
| 8 | 444 | 26 |
| 9 | 463 | 26 |
| 10 | 464 | 26 |
| 0 | 464 | 25 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
1 |
(- 1 y) |
1 |
y |
(+ (* y x) 0) |
y |
x |
0 |
(+ (* y (+ x -1)) 1) |
y |
(+ x -1) |
x |
-1 |
1 |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(+ (* y x) 0) |
(fma.f64 y x #s(literal 0 binary64)) |
y |
x |
0 |
#s(literal 0 binary64) |
(+ (* y (+ x -1)) 1) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
y |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
x |
-1 |
#s(literal -1 binary64) |
1 |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y x #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| 74.0ms | 256× | 0 | valid |
Compiled 28 to 13 computations (53.6% saved)
ival-mult: 60.0ms (92% of total)ival-add: 3.0ms (4.6% of total)ival-sub: 2.0ms (3.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- 1 y)> |
#<alt (+ (* y x) 0)> |
#<alt (+ (* y (+ x -1)) 1)> |
#<alt (+ x -1)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (* y (- x 1))> |
#<alt (* y (- (+ x (/ 1 y)) 1))> |
#<alt (* y (- (+ x (/ 1 y)) 1))> |
#<alt (* y (- (+ x (/ 1 y)) 1))> |
#<alt (* y (- x 1))> |
#<alt (* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (+ (* -1 y) (* x y)))> |
#<alt (+ 1 (+ (* -1 y) (* x y)))> |
#<alt (+ 1 (+ (* -1 y) (* x y)))> |
#<alt (* x y)> |
#<alt (* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))> |
#<alt (* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))> |
#<alt (* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (* y x) 0) |
| 0.0ms | y | @ | -inf | (+ (* y (+ x -1)) 1) |
| 0.0ms | x | @ | -inf | (+ (* y (+ x -1)) 1) |
| 0.0ms | x | @ | 0 | (+ (* y x) 0) |
| 0.0ms | y | @ | -inf | (+ (* y x) 0) |
| 1× | batch-egg-rewrite |
| 9 424× | accelerator-lowering-fma.f32 |
| 9 424× | accelerator-lowering-fma.f64 |
| 4 052× | *-lowering-*.f32 |
| 4 052× | *-lowering-*.f64 |
| 3 184× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 16 |
| 1 | 71 | 16 |
| 2 | 612 | 16 |
| 3 | 7844 | 16 |
| 0 | 8695 | 15 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 y) |
(+ (* y x) 0) |
(+ (* y (+ x -1)) 1) |
(+ x -1) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) |
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (fma.f64 y y #s(literal 1 binary64))) |
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))))) (*.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (-.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))) (*.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))))))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))))) (fma.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64))) (fma.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))))) (fma.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 x #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)))) |
| 1× | egg-herbie |
| 5 136× | accelerator-lowering-fma.f32 |
| 5 136× | accelerator-lowering-fma.f64 |
| 2 304× | *-lowering-*.f32 |
| 2 304× | *-lowering-*.f64 |
| 1 576× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 290 |
| 1 | 114 | 280 |
| 2 | 330 | 280 |
| 3 | 724 | 280 |
| 4 | 2155 | 280 |
| 5 | 4079 | 280 |
| 6 | 5857 | 280 |
| 7 | 6774 | 280 |
| 8 | 7190 | 280 |
| 9 | 7440 | 280 |
| 10 | 7521 | 280 |
| 0 | 8119 | 262 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- x 1))) |
(* y (- x 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- x 1)) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 y) (* x y))) |
(+ 1 (+ (* -1 y) (* x y))) |
(+ 1 (+ (* -1 y) (* x y))) |
(* x y) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (- x 1))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (- x 1))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* y (- x 1)) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) |
(* y (- (+ x (/ 1 y)) 1)) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* y (- (+ x (/ 1 y)) 1)) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* y (- (+ x (/ 1 y)) 1)) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* y (- x 1)) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (+ (* -1 y) (* x y))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 y) (* x y))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 y) (* x y))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
Compiled 18 790 to 1 345 computations (92.8% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 782 | 3 | 785 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 783 | 6 | 789 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ▶ | 76.1% | (fma.f64 y x #s(literal 1 binary64)) |
| ✓ | 61.5% | (-.f64 #s(literal 1 binary64) y) |
| ▶ | 26.1% | (-.f64 #s(literal 0 binary64) y) |
| ▶ | 40.8% | (*.f64 y x) |
| ✓ | 37.6% | #s(literal 1 binary64) |
Compiled 32 to 24 computations (25% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 y x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) y) |
| ✓ | cost-diff | -64 | (*.f64 y x) |
| 20× | +-lowering-+.f64 |
| 20× | +-lowering-+.f32 |
| 12× | accelerator-lowering-fma.f32 |
| 12× | accelerator-lowering-fma.f64 |
| 8× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 12 | 17 |
| 2 | 16 | 17 |
| 3 | 19 | 17 |
| 4 | 23 | 17 |
| 5 | 32 | 17 |
| 6 | 36 | 17 |
| 7 | 38 | 17 |
| 0 | 38 | 16 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* y x) |
y |
x |
(- 0 y) |
0 |
y |
(+ (* y x) 1) |
y |
x |
1 |
| Outputs |
|---|
(* y x) |
(fma.f64 y x #s(literal 0 binary64)) |
y |
x |
(- 0 y) |
(-.f64 #s(literal 0 binary64) y) |
0 |
#s(literal 0 binary64) |
y |
(+ (* y x) 1) |
(fma.f64 y x #s(literal 1 binary64)) |
y |
x |
1 |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 y x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) y) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| 39.0ms | 256× | 0 | valid |
Compiled 19 to 9 computations (52.6% saved)
ival-mult: 2.0ms (40.5% of total)ival-sub: 1.0ms (20.2% of total)ival-add: 1.0ms (20.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* y x)> |
#<alt (- 0 y)> |
#<alt (+ (* y x) 1)> |
| Outputs |
|---|
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt 1> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ 1 y)))> |
#<alt (* y (+ x (/ 1 y)))> |
#<alt (* y (+ x (/ 1 y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))> |
#<alt 1> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ 1 x)))> |
#<alt (* x (+ y (/ 1 x)))> |
#<alt (* x (+ y (/ 1 x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (- 0 y) |
| 0.0ms | y | @ | -inf | (+ (* y x) 1) |
| 0.0ms | x | @ | -inf | (+ (* y x) 1) |
| 0.0ms | y | @ | 0 | (+ (* y x) 1) |
| 0.0ms | x | @ | inf | (+ (* y x) 1) |
| 1× | batch-egg-rewrite |
| 3 132× | *-lowering-*.f32 |
| 3 132× | *-lowering-*.f64 |
| 2 652× | accelerator-lowering-fma.f32 |
| 2 652× | accelerator-lowering-fma.f64 |
| 1 858× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 37 | 10 |
| 2 | 277 | 10 |
| 3 | 2917 | 9 |
| 0 | 9588 | 8 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y x) |
(- 0 y) |
(+ (* y x) 1) |
| Outputs |
|---|
(+.f64 (*.f64 y x) (*.f64 x #s(literal 0 binary64))) |
(+.f64 (*.f64 y x) (*.f64 #s(literal 0 binary64) x)) |
(+.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 y x)) |
(+.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 y x)) |
(exp.f64 (log.f64 (*.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y x)) |
(fma.f64 y x (*.f64 x #s(literal 0 binary64))) |
(fma.f64 y x (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 y (neg.f64 x) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 y (neg.f64 x) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 y (pow.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 y (pow.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 y (exp.f64 (log.f64 x)) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 y (exp.f64 (log.f64 x)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 x y (*.f64 x #s(literal 0 binary64))) |
(fma.f64 x y (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 x #s(literal 0 binary64) (*.f64 y x)) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal 0 binary64) x (*.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (neg.f64 x) y (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (neg.f64 x) y (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) y (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) y (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (exp.f64 (log.f64 x)) y (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (exp.f64 (log.f64 x)) y (*.f64 #s(literal 0 binary64) x)) |
(neg.f64 (*.f64 y x)) |
(/.f64 (*.f64 y (*.f64 y x)) y) |
(/.f64 (*.f64 x (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 y y #s(literal 0 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 y (neg.f64 x)) |
(*.f64 y (pow.f64 x #s(literal 1 binary64))) |
(*.f64 y (exp.f64 (log.f64 x))) |
(*.f64 x y) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 (*.f64 y x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 #s(literal -1 binary64) (*.f64 y x)) |
(*.f64 (neg.f64 x) y) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) y) |
(*.f64 (exp.f64 (log.f64 x)) y) |
y |
(+.f64 y #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) y) |
(exp.f64 (log.f64 y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(-.f64 y #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) y) |
(fma.f64 y #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 y (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 y y #s(literal 0 binary64)) y) |
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(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 y x) (*.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 y x)) #s(literal -1 binary64))) |
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 y x))))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (/.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 y x)))) (/.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 y x #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 y x)))) (fma.f64 y x #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64))))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))))) |
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) |
(*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal -1 binary64))) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal -1 binary64))) (fma.f64 y x #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 y x)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)))) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)) (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64))) (fma.f64 y x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 y x))) (*.f64 y (*.f64 x (*.f64 y x)))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)))))) (fma.f64 y (*.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y (*.f64 x (*.f64 y x))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal -1 binary64)) (*.f64 y x)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal -1 binary64)) (*.f64 y x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y x) (*.f64 y x) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 y x)) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 y x))) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 y x))) (*.f64 y (*.f64 x (*.f64 y x))))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 y x))) (*.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 y x))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 y x) (*.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 y x)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 y x) (*.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 y x)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))) (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y x #s(literal -1 binary64)) (fma.f64 (*.f64 y x) (*.f64 (*.f64 x (*.f64 y x)) (*.f64 y (*.f64 y x))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) #s(literal 1 binary64)))) |
| 1× | egg-herbie |
| 272× | accelerator-lowering-fma.f32 |
| 272× | accelerator-lowering-fma.f64 |
| 176× | *-lowering-*.f32 |
| 176× | *-lowering-*.f64 |
| 88× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 200 |
| 1 | 54 | 200 |
| 2 | 119 | 200 |
| 3 | 256 | 200 |
| 4 | 440 | 200 |
| 5 | 548 | 200 |
| 6 | 557 | 200 |
| 0 | 557 | 182 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(* x y) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(* x y) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(* x y) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(* x y) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
| Outputs |
|---|
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 x y #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 x y #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 x y #s(literal 1 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* y (+ x (/ 1 y))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* y (+ x (/ 1 y))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* y (+ x (/ 1 y))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(fma.f64 x y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 x y #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 x y #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 x y #s(literal 1 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* x (+ y (/ 1 x))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* x (+ y (/ 1 x))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* x (+ y (/ 1 x))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* x y) |
(fma.f64 x y #s(literal 0 binary64)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 x y #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 x y #s(literal 1 binary64)) |
Compiled 4 896 to 478 computations (90.2% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 293 | 2 | 295 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 3 | 3 |
| Total | 294 | 7 | 301 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | 76.1% | (fma.f64 y x #s(literal 1 binary64)) |
| ✓ | 61.5% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | 40.8% | (*.f64 y x) |
| ▶ | 26.1% | (neg.f64 y) |
| ▶ | 2.6% | y |
| ✓ | 37.6% | #s(literal 1 binary64) |
Compiled 34 to 25 computations (26.5% saved)
| 1× | egg-herbie |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (neg.f64 y) |
| 8× | +-lowering-+.f64 |
| 8× | +-lowering-+.f32 |
| 6× | --lowering--.f32 |
| 6× | sub-neg |
| 6× | --lowering--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2 | 4 |
| 1 | 6 | 4 |
| 2 | 8 | 4 |
| 3 | 10 | 4 |
| 4 | 12 | 4 |
| 5 | 16 | 4 |
| 6 | 21 | 4 |
| 0 | 21 | 4 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
y |
(neg y) |
y |
| Outputs |
|---|
y |
(neg y) |
(-.f64 #s(literal 0 binary64) y) |
y |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| 6.0ms | 256× | 0 | valid |
Compiled 6 to 5 computations (16.7% saved)
ival-neg: 1.0ms (72.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (neg y)> |
| Outputs |
|---|
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (neg y) |
| 0.0ms | y | @ | inf | (neg y) |
| 0.0ms | y | @ | 0 | (neg y) |
| 1× | batch-egg-rewrite |
| 510× | /-lowering-/.f32 |
| 510× | /-lowering-/.f64 |
| 434× | *-lowering-*.f32 |
| 434× | *-lowering-*.f64 |
| 238× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2 | 2 |
| 1 | 6 | 2 |
| 2 | 21 | 2 |
| 3 | 148 | 2 |
| 0 | 1639 | 2 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(neg y) |
| Outputs |
|---|
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) |
(-.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) y) |
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) y #s(literal 0 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(neg.f64 y) |
(/.f64 y #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y) |
(/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) y) |
(/.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) y) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
| 1× | egg-herbie |
| 8× | +-lowering-+.f64 |
| 8× | +-lowering-+.f32 |
| 6× | --lowering--.f32 |
| 6× | sub-neg |
| 6× | --lowering--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 24 |
| 1 | 5 | 24 |
| 2 | 7 | 24 |
| 3 | 8 | 24 |
| 4 | 10 | 24 |
| 5 | 12 | 24 |
| 6 | 16 | 24 |
| 7 | 21 | 24 |
| 0 | 21 | 24 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
| Outputs |
|---|
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
Compiled 1 299 to 120 computations (90.8% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 84 | 0 | 84 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 5 | 5 |
| Total | 84 | 7 | 91 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | 76.1% | (fma.f64 y x #s(literal 1 binary64)) |
| ✓ | 61.5% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | 40.8% | (*.f64 y x) |
| ✓ | 26.1% | (neg.f64 y) |
| ✓ | 2.6% | y |
| ✓ | 37.6% | #s(literal 1 binary64) |
Compiled 72 to 41 computations (43.1% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
y |
(neg.f64 y) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 y x) |
(fma.f64 y x #s(literal 0 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
4 calls:
| 4.0ms | y |
| 4.0ms | x |
| 3.0ms | (-.f64 #s(literal 1 binary64) y) |
| 3.0ms | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y))) |
| 100.0% | 1 | (-.f64 #s(literal 1 binary64) y) |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
y |
(neg.f64 y) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 y x) |
(fma.f64 y x #s(literal 0 binary64)) |
(fma.f64 y x #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 y x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
(fma.f64 y x #s(literal 1 binary64)) |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (-.f64 #s(literal 1 binary64) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | x |
| 79.6% | 3 | y |
| 79.6% | 3 | (-.f64 #s(literal 1 binary64) y) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
y |
(neg.f64 y) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 y x) |
(fma.f64 y x #s(literal 0 binary64)) |
| Outputs |
|---|
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 y x) |
1 calls:
| 34.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
y |
(neg.f64 y) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) y) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (-.f64 #s(literal 1 binary64) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 1 | y |
| 61.5% | 1 | (-.f64 #s(literal 1 binary64) y) |
| 61.5% | 1 | x |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
y |
(neg.f64 y) |
(-.f64 #s(literal 0 binary64) y) |
| Outputs |
|---|
(neg.f64 y) |
#s(literal 1 binary64) |
(neg.f64 y) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.5% | 5 | x |
| 60.7% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
Total -22.8b remaining (-57.1%)
Threshold costs -22.8b (-57.1%)
| Inputs |
|---|
#s(literal 1 binary64) |
y |
| Outputs |
|---|
#s(literal 1 binary64) |
2 calls:
| 2.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.6% | 1 | x |
| 37.6% | 1 | y |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.251346021357552e-10 | 9.27056312948658e-8 |
| 20.0ms | -100338.95101108804 | -75389.46959227267 |
| 24.0ms | 176× | 0 | valid |
Compiled 157 to 122 computations (22.3% saved)
ival-mult: 17.0ms (85.9% of total)ival-sub: 2.0ms (10.1% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 422263666197.6391 | 1836853115301.4248 |
| 11.0ms | -4.6340078977034853e+21 | -1.7625397877328786e+20 |
| 14.0ms | 98× | 0 | valid |
| 10.0ms | 110× | 1 | valid |
Compiled 170 to 129 computations (24.1% saved)
ival-sub: 3.0ms (36.3% of total)ival-mult: 2.0ms (24.2% of total)adjust: 1.0ms (12.1% of total)ival-add: 1.0ms (12.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.0005675533605003381 | 12576.9461319791 |
| 3.0ms | -10020292.691629417 | -8595087.188077873 |
| 13.0ms | 170× | 0 | valid |
| 1.0ms | 5× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 113 to 100 computations (11.5% saved)
ival-sub: 7.0ms (75.3% of total)ival-add: 1.0ms (10.8% of total)ival-mult: 1.0ms (10.8% 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)| 1× | egg-herbie |
| 6× | +-commutative_binary64 |
| 6× | if-if-or-not_binary32 |
| 4× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 53 |
| 1 | 44 | 53 |
| 2 | 47 | 53 |
| 3 | 48 | 53 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal -76000 binary64)) (fma.f64 y x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3475661731392059/37778931862957161709568 binary64)) (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -3450000000000000000000 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 1660000000000 binary64)) (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) y) |
(if (<=.f64 y #s(literal -8600000 binary64)) (neg.f64 y) (if (<=.f64 y #s(literal 1 binary64)) #s(literal 1 binary64) (neg.f64 y))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(if (<=.f64 x #s(literal -76000 binary64)) (fma.f64 y x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 3475661731392059/37778931862957161709568 binary64)) (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal -3450000000000000000000 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 1660000000000 binary64)) (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) y) |
(if (<=.f64 y #s(literal -8600000 binary64)) (neg.f64 y) (if (<=.f64 y #s(literal 1 binary64)) #s(literal 1 binary64) (neg.f64 y))) |
(if (<=.f64 y #s(literal -8600000 binary64)) (-.f64 #s(literal 0 binary64) y) (if (<=.f64 y #s(literal 1 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) |
#s(literal 1 binary64) |
| 20 464× | accelerator-lowering-fma.f32 |
| 20 464× | accelerator-lowering-fma.f64 |
| 9 424× | accelerator-lowering-fma.f32 |
| 9 424× | accelerator-lowering-fma.f64 |
| 5 136× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 16 |
| 1 | 71 | 16 |
| 2 | 612 | 16 |
| 3 | 7844 | 16 |
| 0 | 8695 | 15 |
| 0 | 7 | 10 |
| 1 | 37 | 10 |
| 2 | 277 | 10 |
| 3 | 2917 | 9 |
| 0 | 9588 | 8 |
| 0 | 68 | 522 |
| 1 | 186 | 484 |
| 2 | 490 | 362 |
| 3 | 1705 | 362 |
| 4 | 7525 | 362 |
| 0 | 8243 | 344 |
| 0 | 41 | 290 |
| 1 | 114 | 280 |
| 2 | 330 | 280 |
| 3 | 724 | 280 |
| 4 | 2155 | 280 |
| 5 | 4079 | 280 |
| 6 | 5857 | 280 |
| 7 | 6774 | 280 |
| 8 | 7190 | 280 |
| 9 | 7440 | 280 |
| 10 | 7521 | 280 |
| 0 | 8119 | 262 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 119 to 72 computations (39.5% saved)
Compiled 166 to 82 computations (50.6% saved)
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