
Time bar (total: 14.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 1 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 2 |
| 75% | 37.5% | 12.5% | 50% | 0% | 0% | 0% | 3 |
| 87.5% | 43.8% | 6.3% | 50% | 0% | 0% | 0% | 4 |
| 93.8% | 46.9% | 3.1% | 50% | 0% | 0% | 0% | 5 |
| 96.9% | 48.4% | 1.6% | 50% | 0% | 0% | 0% | 6 |
| 98.4% | 49.2% | 0.8% | 50% | 0% | 0% | 0% | 7 |
| 99.2% | 49.6% | 0.4% | 50% | 0% | 0% | 0% | 8 |
| 99.6% | 49.8% | 0.2% | 50% | 0% | 0% | 0% | 9 |
| 99.8% | 49.9% | 0.1% | 50% | 0% | 0% | 0% | 10 |
| 99.9% | 50% | 0% | 50% | 0% | 0% | 0% | 11 |
| 100% | 50% | 0% | 50% | 0% | 0% | 0% | 12 |
Compiled 20 to 13 computations (35% saved)
| 1.9s | 7 151× | 1 | valid |
| 514.0ms | 825× | 2 | valid |
| 19.0ms | 280× | 0 | valid |
ival-div: 476.0ms (27.2% of total)ival->: 429.0ms (24.5% of total)adjust: 322.0ms (18.4% of total)ival-add: 250.0ms (14.3% of total)ival-sub: 185.0ms (10.6% of total)ival-fabs: 60.0ms (3.4% of total)exact: 18.0ms (1% of total)ival-assert: 8.0ms (0.5% of total)| 2× | egg-herbie |
| 384× | accelerator-lowering-fma.f32 |
| 384× | accelerator-lowering-fma.f64 |
| 160× | *-lowering-*.f32 |
| 160× | *-lowering-*.f64 |
| 144× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 48 |
| 1 | 45 | 46 |
| 2 | 109 | 45 |
| 3 | 284 | 45 |
| 4 | 549 | 45 |
| 5 | 653 | 45 |
| 6 | 666 | 45 |
| 0 | 10 | 15 |
| 1 | 21 | 15 |
| 2 | 39 | 15 |
| 3 | 67 | 15 |
| 4 | 127 | 15 |
| 5 | 242 | 15 |
| 6 | 385 | 15 |
| 7 | 498 | 15 |
| 8 | 545 | 15 |
| 0 | 545 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
| Outputs |
|---|
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) |
| Inputs |
|---|
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
(+ (- (/ 1 (+ (neg x) 1)) (/ 2 (neg x))) (/ 1 (- (neg x) 1))) |
(neg (+ (- (/ 1 (+ (neg x) 1)) (/ 2 (neg x))) (/ 1 (- (neg x) 1)))) |
| Outputs |
|---|
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
(+ (+ (/ -2 x) (/ 1 (+ x -1))) (/ 1 (+ 1 x))) |
(+ (- (/ 1 (+ (neg x) 1)) (/ 2 (neg x))) (/ 1 (- (neg x) 1))) |
(+ (/ 1 (- 1 x)) (+ (/ 2 x) (/ 1 (- -1 x)))) |
(neg (+ (- (/ 1 (+ (neg x) 1)) (/ 2 (neg x))) (/ 1 (- (neg x) 1)))) |
(+ (+ (/ -2 x) (/ 1 (+ x -1))) (/ 1 (+ 1 x))) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 91 | 0 | - | 1 | (11.28671643691769) | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | cancellation | 90 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 90 | 1 |
| - | 0 | 165 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 90 | 1 | 0 |
| - | 0 | 0 | 165 |
| number | freq |
|---|---|
| 0 | 166 |
| 1 | 90 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 141.0ms | 444× | 1 | valid |
| 15.0ms | 48× | 2 | valid |
| 1.0ms | 20× | 0 | valid |
Compiled 128 to 44 computations (65.6% saved)
ival-div: 100.0ms (74.7% of total)ival-add: 13.0ms (9.7% of total)ival-sub: 10.0ms (7.5% of total)adjust: 9.0ms (6.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 16 to 11 computations (31.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.2% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) |
Compiled 16 to 11 computations (31.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) |
| 32× | +-lowering-+.f64 |
| 32× | +-lowering-+.f32 |
| 14× | +-commutative |
| 6× | associate-+l+ |
| 6× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 1 | 19 | 47 |
| 2 | 26 | 47 |
| 3 | 28 | 47 |
| 0 | 28 | 47 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (/ 1 (+ 1 x)) (+ (/ 1 (+ x -1)) (/ -2 x))) |
(/ 1 (+ 1 x)) |
1 |
(+ 1 x) |
x |
(+ (/ 1 (+ x -1)) (/ -2 x)) |
(/ 1 (+ x -1)) |
(+ x -1) |
-1 |
(/ -2 x) |
-2 |
| Outputs |
|---|
(+ (/ 1 (+ 1 x)) (+ (/ 1 (+ x -1)) (/ -2 x))) |
(+.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/ 1 (+ 1 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(+ (/ 1 (+ x -1)) (/ -2 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)) |
(/ 1 (+ x -1)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
-2 |
#s(literal -2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.9% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)) |
| ✓ | accuracy | 68.1% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) |
| 36.0ms | 222× | 1 | valid |
| 5.0ms | 24× | 2 | valid |
| 1.0ms | 10× | 0 | valid |
Compiled 49 to 13 computations (73.5% saved)
ival-div: 13.0ms (43.8% of total)ival-add: 11.0ms (37.1% of total)adjust: 5.0ms (16.9% of total)exact: 1.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (/ 1 (+ 1 x)) (+ (/ 1 (+ x -1)) (/ -2 x)))> |
#<alt (/ 1 (+ 1 x))> |
#<alt (+ 1 x)> |
#<alt (+ (/ 1 (+ x -1)) (/ -2 x))> |
#<alt (+ x -1)> |
| Outputs |
|---|
#<alt (/ -2 x)> |
#<alt (/ (- (* -2 (pow x 2)) 2) x)> |
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- x 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))> |
#<alt (/ 1 x)> |
#<alt (/ (- 1 (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ 1 x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (/ -2 x)> |
#<alt (/ (- (* -1 x) 2) x)> |
#<alt (/ (- (* x (- (* -1 x) 1)) 2) x)> |
#<alt (/ (- (* x (- (* x (- (* -1 x) 1)) 1)) 2) x)> |
#<alt (/ -1 x)> |
#<alt (/ (- (/ 1 x) 1) x)> |
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x)> |
#<alt (/ (- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (- 1 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))) 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)))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+ (/ 1 (+ 1 x)) (+ (/ 1 (+ x -1)) (/ -2 x))) |
| 0.0ms | x | @ | 0 | (+ (/ 1 (+ 1 x)) (+ (/ 1 (+ x -1)) (/ -2 x))) |
| 0.0ms | x | @ | -inf | (+ (/ 1 (+ 1 x)) (+ (/ 1 (+ x -1)) (/ -2 x))) |
| 0.0ms | x | @ | -inf | (+ 1 x) |
| 0.0ms | x | @ | -inf | (+ (/ 1 (+ x -1)) (/ -2 x)) |
| 1× | batch-egg-rewrite |
| 5 462× | *-lowering-*.f32 |
| 5 462× | *-lowering-*.f64 |
| 5 136× | accelerator-lowering-fma.f32 |
| 5 136× | accelerator-lowering-fma.f64 |
| 3 998× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 1 | 91 | 35 |
| 2 | 1159 | 35 |
| 0 | 8148 | 33 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ 1 (+ 1 x)) (+ (/ 1 (+ x -1)) (/ -2 x))) |
(/ 1 (+ 1 x)) |
(+ 1 x) |
(+ (/ 1 (+ x -1)) (/ -2 x)) |
(+ x -1) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -2 binary64) x))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -2 binary64) x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
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(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) x) (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (/.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 x #s(literal -2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))))))) |
(pow.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 x #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 x #s(literal -2 binary64)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))) |
(+.f64 x #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) x) |
(exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) #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 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.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 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (+.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 (+.f64 #s(literal 1 binary64) x) (+.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)))))) |
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
| 1× | egg-herbie |
| 11 594× | accelerator-lowering-fma.f32 |
| 11 594× | accelerator-lowering-fma.f64 |
| 3 872× | *-lowering-*.f32 |
| 3 872× | *-lowering-*.f64 |
| 1 750× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 449 |
| 1 | 287 | 437 |
| 2 | 729 | 418 |
| 3 | 2284 | 402 |
| 4 | 6891 | 396 |
| 0 | 8322 | 390 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ -2 x) |
(/ (- (* -1 x) 2) x) |
(/ (- (* x (- (* -1 x) 1)) 2) x) |
(/ (- (* x (- (* x (- (* -1 x) 1)) 1)) 2) x) |
(/ -1 x) |
(/ (- (/ 1 x) 1) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x) |
(/ (- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1) x) |
(/ -1 x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))) 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 |
|---|
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) |
(/ 2 (pow x 3)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -1 x) 2) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* x (- (* -1 x) 1)) 2) x) |
(-.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/ (- (* x (- (* x (- (* -1 x) 1)) 1)) 2) x) |
(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x (-.f64 #s(literal -1 binary64) x))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ 1 x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(/ (- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
Compiled 20 148 to 2 113 computations (89.5% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 538 | 7 | 545 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 538 | 8 | 546 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.0% | (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
| 68.1% | (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| 22.2% | (/.f64 (+.f64 (*.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 99.2% | (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
| ▶ | 4.9% | (/.f64 #s(literal -2 binary64) x) |
| ▶ | 20.4% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
| ✓ | 68.2% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) |
| ▶ | 99.4% | (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
Compiled 268 to 143 computations (46.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
| ✓ | cost-diff | 256 | (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -2 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
| 33 858× | accelerator-lowering-fma.f32 |
| 33 858× | accelerator-lowering-fma.f64 |
| 3 708× | *-lowering-*.f32 |
| 3 708× | *-lowering-*.f64 |
| 1 900× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 189 |
| 1 | 68 | 181 |
| 2 | 148 | 181 |
| 3 | 364 | 172 |
| 4 | 708 | 169 |
| 5 | 1372 | 169 |
| 6 | 3326 | 169 |
| 0 | 8122 | 168 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (+ (/ -1 (* x (* x (* x x)))) -1)) |
(/ (+ -2 (/ -2 (* x x))) (* x (* x x))) |
(+ -2 (/ -2 (* x x))) |
-2 |
(/ -2 (* x x)) |
(* x x) |
x |
(* x (* x x)) |
(+ (/ -1 (* x (* x (* x x)))) -1) |
(/ -1 (* x (* x (* x x)))) |
-1 |
(* x (* x (* x x))) |
(/ -2 x) |
-2 |
x |
(/ (/ 2 (* x x)) x) |
(/ 2 (* x x)) |
2 |
(* x x) |
x |
(/ (+ 2 (/ 2 (* x x))) (* x (* x x))) |
(+ 2 (/ 2 (* x x))) |
2 |
(/ 2 (* x x)) |
(* x x) |
x |
(* x (* x x)) |
(+ (/ 1 (+ 1 x)) (/ (+ x (* (+ x -1) -2)) (* x (+ x -1)))) |
(/ 1 (+ 1 x)) |
1 |
(+ 1 x) |
x |
(/ (+ x (* (+ x -1) -2)) (* x (+ x -1))) |
(+ x (* (+ x -1) -2)) |
(* (+ x -1) -2) |
(+ x -1) |
-1 |
-2 |
(* x (+ x -1)) |
| Outputs |
|---|
(* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (+ (/ -1 (* x (* x (* x x)))) -1)) |
(/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
(/ (+ -2 (/ -2 (* x x))) (* x (* x x))) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(+ -2 (/ -2 (* x x))) |
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
-2 |
#s(literal -2 binary64) |
(/ -2 (* x x)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
x |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(+ (/ -1 (* x (* x (* x x)))) -1) |
(+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x x)))) |
(/ -1 (* x (* x (* x x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
-2 |
#s(literal -2 binary64) |
x |
(/ (/ 2 (* x x)) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (* x x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
2 |
#s(literal 2 binary64) |
(* x x) |
(*.f64 x x) |
x |
(/ (+ 2 (/ 2 (* x x))) (* x (* x x))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(+ 2 (/ 2 (* x x))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
2 |
#s(literal 2 binary64) |
(/ 2 (* x x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
x |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(+ (/ 1 (+ 1 x)) (/ (+ x (* (+ x -1) -2)) (* x (+ x -1)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/ 1 (+ 1 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(/ (+ x (* (+ x -1) -2)) (* x (+ x -1))) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(+ x (* (+ x -1) -2)) |
(-.f64 #s(literal 2 binary64) x) |
(* (+ x -1) -2) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
-2 |
#s(literal -2 binary64) |
(* x (+ x -1)) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 68.1% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
| ✓ | accuracy | 56.2% | (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -2 binary64) x) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal -2 binary64) (*.f64 x x)) |
| 108.0ms | 222× | 1 | valid |
| 14.0ms | 24× | 2 | valid |
| 2.0ms | 10× | 0 | valid |
Compiled 211 to 29 computations (86.3% saved)
ival-div: 54.0ms (57.1% of total)ival-add: 16.0ms (16.9% of total)ival-mult: 15.0ms (15.9% of total)adjust: 9.0ms (9.5% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (+ (/ -1 (* x (* x (* x x)))) -1))> |
#<alt (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))> |
#<alt (+ -2 (/ -2 (* x x)))> |
#<alt (/ -2 (* x x))> |
#<alt (/ -2 x)> |
#<alt (/ (/ 2 (* x x)) x)> |
#<alt (/ 2 (* x x))> |
#<alt (* x x)> |
#<alt (/ (+ 2 (/ 2 (* x x))) (* x (* x x)))> |
#<alt (+ 2 (/ 2 (* x x)))> |
#<alt (+ x (* (+ x -1) -2))> |
#<alt (+ (/ 1 (+ 1 x)) (/ (+ x (* (+ x -1) -2)) (* x (+ x -1))))> |
#<alt (/ 1 (+ 1 x))> |
#<alt (+ 1 x)> |
#<alt (/ -1 (* x (* x (* x x))))> |
#<alt (* x (* x x))> |
#<alt (/ (+ x (* (+ x -1) -2)) (* x (+ x -1)))> |
#<alt (* x (+ x -1))> |
#<alt (* (+ x -1) -2)> |
| Outputs |
|---|
#<alt (/ 2 (pow x 9))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 9))> |
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))> |
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))> |
#<alt (/ -2 (pow x 5))> |
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 5))> |
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 5))> |
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 5))> |
#<alt (/ -2 (pow x 3))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (/ -2 (pow x 3))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 2))> |
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 2))> |
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 2))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ -2 x)> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 2 (pow x 5))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2))> |
#<alt 2> |
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))> |
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))> |
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))> |
#<alt 2> |
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))> |
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))> |
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))> |
#<alt 2> |
#<alt (+ 2 (* -1 x))> |
#<alt (+ 2 (* -1 x))> |
#<alt (+ 2 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 1))> |
#<alt (* x (- (* 2 (/ 1 x)) 1))> |
#<alt (* x (- (* 2 (/ 1 x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))> |
#<alt (/ -2 x)> |
#<alt (/ (- (* -2 (pow x 2)) 2) x)> |
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- x 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))> |
#<alt (/ 1 x)> |
#<alt (/ (- 1 (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ 1 x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (/ -2 x)> |
#<alt (/ (- (* -1 x) 2) x)> |
#<alt (/ (- (* x (- (* -1 x) 1)) 2) x)> |
#<alt (/ (- (* x (- (* x (- (* -1 x) 1)) 1)) 2) x)> |
#<alt (/ -1 x)> |
#<alt (/ (- (/ 1 x) 1) x)> |
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x)> |
#<alt (/ (- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (- 1 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))) x))> |
#<alt (* -1 x)> |
#<alt (* x (- x 1))> |
#<alt (* x (- x 1))> |
#<alt (* x (- x 1))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt 2> |
#<alt (+ 2 (* -2 x))> |
#<alt (+ 2 (* -2 x))> |
#<alt (+ 2 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 2))> |
#<alt (* x (- (* 2 (/ 1 x)) 2))> |
#<alt (* x (- (* 2 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* x (+ x -1)) |
| 1.0ms | x | @ | 0 | (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) |
| 1.0ms | x | @ | inf | (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) |
| 0.0ms | x | @ | 0 | (/ -1 (* x (* x (* x x)))) |
| 0.0ms | x | @ | 0 | (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (+ (/ -1 (* x (* x (* x x)))) -1)) |
| 1× | batch-egg-rewrite |
| 6 294× | /-lowering-/.f32 |
| 6 294× | /-lowering-/.f64 |
| 3 222× | accelerator-lowering-fma.f32 |
| 3 222× | accelerator-lowering-fma.f64 |
| 2 870× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 145 |
| 1 | 208 | 141 |
| 2 | 2272 | 139 |
| 0 | 8738 | 128 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (+ (/ -1 (* x (* x (* x x)))) -1)) |
(/ (+ -2 (/ -2 (* x x))) (* x (* x x))) |
(+ -2 (/ -2 (* x x))) |
(/ -2 (* x x)) |
(/ -2 x) |
(/ (/ 2 (* x x)) x) |
(/ 2 (* x x)) |
(* x x) |
(/ (+ 2 (/ 2 (* x x))) (* x (* x x))) |
(+ 2 (/ 2 (* x x))) |
(+ x (* (+ x -1) -2)) |
(+ (/ 1 (+ 1 x)) (/ (+ x (* (+ x -1) -2)) (* x (+ x -1)))) |
(/ 1 (+ 1 x)) |
(+ 1 x) |
(/ -1 (* x (* x (* x x)))) |
(* x (* x x)) |
(/ (+ x (* (+ x -1) -2)) (* x (+ x -1))) |
(* x (+ x -1)) |
(* (+ x -1) -2) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))))) |
(fma.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 4 binary64)) (*.f64 x x)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) x)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.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 x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))))) |
(/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) |
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -2 binary64))) (neg.f64 (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(*.f64 #s(literal -2 binary64) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) |
| 1× | egg-herbie |
| 12 528× | accelerator-lowering-fma.f32 |
| 12 528× | accelerator-lowering-fma.f64 |
| 3 606× | *-lowering-*.f32 |
| 3 606× | *-lowering-*.f64 |
| 2 754× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1525 |
| 1 | 378 | 1500 |
| 2 | 960 | 1432 |
| 3 | 3097 | 1381 |
| 4 | 7447 | 1375 |
| 0 | 8135 | 1341 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow x 9)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/ -2 (pow x 5)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/ -2 (pow x 3)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/ -2 (pow x 3)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/ -2 (pow x 2)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 2)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 2)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 2)) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
-2 |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ -2 x) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 2 (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
2 |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
2 |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
2 |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ -2 x) |
(/ (- (* -1 x) 2) x) |
(/ (- (* x (- (* -1 x) 1)) 2) x) |
(/ (- (* x (- (* x (- (* -1 x) 1)) 1)) 2) x) |
(/ -1 x) |
(/ (- (/ 1 x) 1) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x) |
(/ (- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1) x) |
(/ -1 x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))) x)) |
(* -1 x) |
(* x (- x 1)) |
(* x (- x 1)) |
(* x (- x 1)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* -2 x)) |
(+ 2 (* -2 x)) |
(* -2 x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
| Outputs |
|---|
(/ 2 (pow x 9)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 9)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (pow.f64 x #s(literal 9 binary64))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 9 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) x))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(/ -2 (pow x 5)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) x) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) x) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) x) |
(/ -2 (pow x 3)) |
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) x) |
(/ -2 (pow x 3)) |
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) x) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 2)) |
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/ (- (* -2 (pow x 2)) 2) (pow x 2)) |
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/ (- (* -2 (pow x 2)) 2) (pow x 2)) |
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 2 (pow x 5)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1 x)) |
(-.f64 #s(literal 2 binary64) x) |
(+ 2 (* -1 x)) |
(-.f64 #s(literal 2 binary64) x) |
(+ 2 (* -1 x)) |
(-.f64 #s(literal 2 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(-.f64 #s(literal 2 binary64) x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(-.f64 #s(literal 2 binary64) x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(-.f64 #s(literal 2 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal 2 binary64) x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal 2 binary64) x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal 2 binary64) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(+.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(+.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))))) (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) x))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -1 x) 2) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* x (- (* -1 x) 1)) 2) x) |
(-.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/ (- (* x (- (* x (- (* -1 x) 1)) 1)) 2) x) |
(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x (-.f64 #s(literal -1 binary64) x))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ 1 x) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(/ (- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- x 1)) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* x (- x 1)) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* x (- x 1)) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 2 (* -2 x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 2 (* -2 x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
(* x (- (* 2 (/ 1 x)) 2)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
(* x (- (* 2 (/ 1 x)) 2)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
Compiled 35 420 to 2 930 computations (91.7% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 252 | 9 | 1 261 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 256 | 13 | 1 269 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.0% | (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
| 22.2% | (/.f64 (/.f64 (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))) | |
| ✓ | 99.0% | (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
| 99.0% | (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) | |
| ▶ | 68.1% | (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
| 99.2% | (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) | |
| ✓ | 99.2% | (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
| 42.2% | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) | |
| ▶ | 98.7% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | 4.9% | (/.f64 #s(literal -2 binary64) x) |
| ▶ | 20.4% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
| ▶ | 99.7% | (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
| 98.9% | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
Compiled 342 to 195 computations (43% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 256 | (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 2 binary64) x) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) x) x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
| 12 726× | accelerator-lowering-fma.f32 |
| 12 726× | accelerator-lowering-fma.f64 |
| 3 270× | *-lowering-*.f32 |
| 3 270× | *-lowering-*.f64 |
| 2 250× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 262 |
| 1 | 94 | 250 |
| 2 | 208 | 250 |
| 3 | 575 | 234 |
| 4 | 1415 | 234 |
| 5 | 3815 | 234 |
| 0 | 8114 | 228 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ (/ (+ -2 (/ -2 (* x x))) x) x) x) (+ (/ -1 (* x (* x (* x x)))) -1)) |
(/ (/ (/ (+ -2 (/ -2 (* x x))) x) x) x) |
(/ (/ (+ -2 (/ -2 (* x x))) x) x) |
(/ (+ -2 (/ -2 (* x x))) x) |
(+ -2 (/ -2 (* x x))) |
-2 |
(/ -2 (* x x)) |
(* x x) |
x |
(+ (/ -1 (* x (* x (* x x)))) -1) |
(/ -1 (* x (* x (* x x)))) |
-1 |
(* x (* x (* x x))) |
(* x (* x x)) |
(/ 2 (* x (* x x))) |
2 |
(* x (* x x)) |
x |
(* x x) |
(/ (/ (/ 2 x) x) x) |
(/ (/ 2 x) x) |
(/ 2 x) |
2 |
x |
(+ (/ 1 (+ 1 x)) (/ (- 2 x) (* x (+ x -1)))) |
(/ 1 (+ 1 x)) |
1 |
(+ 1 x) |
x |
(/ (- 2 x) (* x (+ x -1))) |
(- 2 x) |
2 |
(* x (+ x -1)) |
(+ x -1) |
-1 |
(/ (+ (* (/ (+ x (* (+ x -1) -2)) (+ x -1)) (+ 1 x)) x) (* x (+ 1 x))) |
(+ (* (/ (+ x (* (+ x -1) -2)) (+ x -1)) (+ 1 x)) x) |
(* (/ (+ x (* (+ x -1) -2)) (+ x -1)) (+ 1 x)) |
(/ (+ x (* (+ x -1) -2)) (+ x -1)) |
(+ x (* (+ x -1) -2)) |
x |
(* (+ x -1) -2) |
(+ x -1) |
-1 |
-2 |
(+ 1 x) |
1 |
(* x (+ 1 x)) |
| Outputs |
|---|
(* (/ (/ (/ (+ -2 (/ -2 (* x x))) x) x) x) (+ (/ -1 (* x (* x (* x x)))) -1)) |
(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x x))))) |
(/ (/ (/ (+ -2 (/ -2 (* x x))) x) x) x) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (/ (+ -2 (/ -2 (* x x))) x) x) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ -2 (/ -2 (* x x))) x) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) |
(+ -2 (/ -2 (* x x))) |
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
-2 |
#s(literal -2 binary64) |
(/ -2 (* x x)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
x |
(+ (/ -1 (* x (* x (* x x)))) -1) |
(+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x x)))) |
(/ -1 (* x (* x (* x x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(/ 2 (* x (* x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
2 |
#s(literal 2 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(/ (/ (/ 2 x) x) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (/ 2 x) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
(+ (/ 1 (+ 1 x)) (/ (- 2 x) (* x (+ x -1)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal 1 binary64) x))) |
(/ 1 (+ 1 x)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(/ (- 2 x) (* x (+ x -1))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal 1 binary64) x)) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
(* x (+ x -1)) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(/ (+ (* (/ (+ x (* (+ x -1) -2)) (+ x -1)) (+ 1 x)) x) (* x (+ 1 x))) |
(/.f64 (+.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal -1 binary64)))) (*.f64 x (+.f64 x #s(literal 1 binary64)))) |
(+ (* (/ (+ x (* (+ x -1) -2)) (+ x -1)) (+ 1 x)) x) |
(+.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal -1 binary64)))) |
(* (/ (+ x (* (+ x -1) -2)) (+ x -1)) (+ 1 x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal -1 binary64))) |
(/ (+ x (* (+ x -1) -2)) (+ x -1)) |
(/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) |
(+ x (* (+ x -1) -2)) |
(-.f64 #s(literal 2 binary64) x) |
x |
(* (+ x -1) -2) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
-2 |
#s(literal -2 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* x (+ 1 x)) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.8% | (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 6.6% | (+.f64 (*.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 68.1% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
| ✓ | accuracy | 56.2% | (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 2 binary64) x) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) x) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal -2 binary64) (*.f64 x x)) |
| 118.0ms | 139× | 2 | valid |
| 77.0ms | 115× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 284 to 36 computations (87.3% saved)
ival-div: 56.0ms (48% of total)ival-mult: 23.0ms (19.7% of total)ival-add: 20.0ms (17.1% of total)adjust: 14.0ms (12% of total)ival-sub: 3.0ms (2.6% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (/ (/ (+ -2 (/ -2 (* x x))) x) x) x) (+ (/ -1 (* x (* x (* x x)))) -1))> |
#<alt (/ (/ (/ (+ -2 (/ -2 (* x x))) x) x) x)> |
#<alt (/ (/ (+ -2 (/ -2 (* x x))) x) x)> |
#<alt (/ (+ -2 (/ -2 (* x x))) x)> |
#<alt (/ 2 (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (/ (/ (/ 2 x) x) x)> |
#<alt (/ (/ 2 x) x)> |
#<alt (/ 2 x)> |
#<alt (+ (/ 1 (+ 1 x)) (/ (- 2 x) (* x (+ x -1))))> |
#<alt (/ 1 (+ 1 x))> |
#<alt (+ 1 x)> |
#<alt (/ (- 2 x) (* x (+ x -1)))> |
#<alt (+ x (* (+ x -1) -2))> |
#<alt (/ (+ (* (/ (+ x (* (+ x -1) -2)) (+ x -1)) (+ 1 x)) x) (* x (+ 1 x)))> |
#<alt (+ (* (/ (+ x (* (+ x -1) -2)) (+ x -1)) (+ 1 x)) x)> |
#<alt (* (/ (+ x (* (+ x -1) -2)) (+ x -1)) (+ 1 x))> |
#<alt (/ -2 (* x x))> |
#<alt (/ -1 (* x (* x (* x x))))> |
#<alt (* x (+ x -1))> |
#<alt (* x (+ 1 x))> |
| Outputs |
|---|
#<alt (/ 2 (pow x 9))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 9))> |
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9))> |
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))> |
#<alt (/ -2 (pow x 5))> |
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 5))> |
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 5))> |
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 5))> |
#<alt (/ -2 (pow x 3))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (/ -2 (pow x 3))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (/ -2 (pow x 4))> |
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 4))> |
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 4))> |
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 4))> |
#<alt (/ -2 (pow x 2))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ -2 (pow x 2))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ -2 (pow x 3))> |
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 3))> |
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 3))> |
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 3))> |
#<alt (/ -2 x)> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))> |
#<alt (/ -2 x)> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ -2 x)> |
#<alt (/ (- (* -2 (pow x 2)) 2) x)> |
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- x 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))> |
#<alt (/ 1 x)> |
#<alt (/ (- 1 (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)> |
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (/ 1 x) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (/ -2 x)> |
#<alt (/ (- (* -1 x) 2) x)> |
#<alt (/ (- (* x (- (* -1 x) 1)) 2) x)> |
#<alt (/ (- (* x (- (* x (- (* -1 x) 1)) 1)) 2) x)> |
#<alt (/ -1 x)> |
#<alt (/ (- (/ 1 x) 1) x)> |
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x)> |
#<alt (/ (- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (- 1 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))) x))> |
#<alt 2> |
#<alt (+ 2 (* -1 x))> |
#<alt (+ 2 (* -1 x))> |
#<alt (+ 2 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 1))> |
#<alt (* x (- (* 2 (/ 1 x)) 1))> |
#<alt (* x (- (* 2 (/ 1 x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 2 (/ 1 x)))))> |
#<alt (/ -2 x)> |
#<alt (/ (- (* -2 (pow x 2)) 2) x)> |
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))> |
#<alt -2> |
#<alt (- (* -2 x) 2)> |
#<alt (- (* x (- (* -2 x) 2)) 2)> |
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 2)> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ 1 x))) x)> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x)> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ 1 x))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) x))> |
#<alt -2> |
#<alt (- (* -3 x) 2)> |
#<alt (- (* x (- (* -2 x) 3)) 2)> |
#<alt (- (* x (- (* x (- (* -2 x) 2)) 3)) 2)> |
#<alt (* -1 x)> |
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1))> |
#<alt (* x (- (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3))) 1))> |
#<alt (* x (- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 3)))) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))) (* 2 (/ 1 (pow x 2))))))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (/ -1 (pow x 4))> |
#<alt (* -1 x)> |
#<alt (* x (- x 1))> |
#<alt (* x (- x 1))> |
#<alt (* x (- x 1))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 x))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ (+ (* (/ (+ x (* (+ x -1) -2)) (+ x -1)) (+ 1 x)) x) (* x (+ 1 x))) |
| 0.0ms | x | @ | inf | (/ (+ (* (/ (+ x (* (+ x -1) -2)) (+ x -1)) (+ 1 x)) x) (* x (+ 1 x))) |
| 0.0ms | x | @ | 0 | (/ (+ (* (/ (+ x (* (+ x -1) -2)) (+ x -1)) (+ 1 x)) x) (* x (+ 1 x))) |
| 0.0ms | x | @ | -inf | (* x (+ 1 x)) |
| 0.0ms | x | @ | 0 | (/ (/ (+ -2 (/ -2 (* x x))) x) x) |
| 1× | batch-egg-rewrite |
| 5 330× | /-lowering-/.f32 |
| 5 330× | /-lowering-/.f64 |
| 3 578× | accelerator-lowering-fma.f32 |
| 3 578× | accelerator-lowering-fma.f64 |
| 3 372× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 196 |
| 1 | 264 | 188 |
| 2 | 2819 | 186 |
| 0 | 8819 | 172 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ (/ (+ -2 (/ -2 (* x x))) x) x) x) (+ (/ -1 (* x (* x (* x x)))) -1)) |
(/ (/ (/ (+ -2 (/ -2 (* x x))) x) x) x) |
(/ (/ (+ -2 (/ -2 (* x x))) x) x) |
(/ (+ -2 (/ -2 (* x x))) x) |
(/ 2 (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(/ (/ (/ 2 x) x) x) |
(/ (/ 2 x) x) |
(/ 2 x) |
(+ (/ 1 (+ 1 x)) (/ (- 2 x) (* x (+ x -1)))) |
(/ 1 (+ 1 x)) |
(+ 1 x) |
(/ (- 2 x) (* x (+ x -1))) |
(+ x (* (+ x -1) -2)) |
(/ (+ (* (/ (+ x (* (+ x -1) -2)) (+ x -1)) (+ 1 x)) x) (* x (+ 1 x))) |
(+ (* (/ (+ x (* (+ x -1) -2)) (+ x -1)) (+ 1 x)) x) |
(* (/ (+ x (* (+ x -1) -2)) (+ x -1)) (+ 1 x)) |
(/ -2 (* x x)) |
(/ -1 (* x (* x (* x x)))) |
(* x (+ x -1)) |
(* x (+ 1 x)) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) x)) |
(+.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) x) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (/.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (/.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) x)) |
(fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) |
(fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) x)) |
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) |
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) x)) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) (*.f64 (*.f64 x x) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) (*.f64 x (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) (*.f64 (/.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (*.f64 (/.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)) (*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)) |
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(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) x) |
(*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x) |
(+.f64 x (*.f64 x x)) |
(+.f64 (*.f64 x x) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 x (*.f64 x x)))) |
(fma.f64 x x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) x) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) x) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x (*.f64 x x))) |
(/.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
| 1× | egg-herbie |
| 12 294× | accelerator-lowering-fma.f32 |
| 12 294× | accelerator-lowering-fma.f64 |
| 4 352× | *-lowering-*.f32 |
| 4 352× | *-lowering-*.f64 |
| 2 142× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 1893 |
| 1 | 535 | 1838 |
| 2 | 1398 | 1774 |
| 3 | 5684 | 1757 |
| 0 | 8394 | 1709 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow x 9)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/ -2 (pow x 5)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/ -2 (pow x 3)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/ -2 (pow x 3)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/ -2 (pow x 4)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 4)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 4)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 4)) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ -2 (pow x 3)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 3)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 3)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 3)) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ -2 x) |
(/ (- (* -1 x) 2) x) |
(/ (- (* x (- (* -1 x) 1)) 2) x) |
(/ (- (* x (- (* x (- (* -1 x) 1)) 1)) 2) x) |
(/ -1 x) |
(/ (- (/ 1 x) 1) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x) |
(/ (- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1) x) |
(/ -1 x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))) x)) |
2 |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
-2 |
(- (* -2 x) 2) |
(- (* x (- (* -2 x) 2)) 2) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 2) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 x))) x) |
(/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x) |
(/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) x)) |
-2 |
(- (* -3 x) 2) |
(- (* x (- (* -2 x) 3)) 2) |
(- (* x (- (* x (- (* -2 x) 2)) 3)) 2) |
(* -1 x) |
(* x (- (* 2 (/ 1 (pow x 2))) 1)) |
(* x (- (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3))) 1)) |
(* x (- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 3)))) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))) (* 2 (/ 1 (pow x 2)))))) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -2 (pow x 2)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(/ -1 (pow x 4)) |
(* -1 x) |
(* x (- x 1)) |
(* x (- x 1)) |
(* x (- x 1)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
| Outputs |
|---|
(/ 2 (pow x 9)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 9)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))))) (pow.f64 x #s(literal 9 binary64))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9)) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 9 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(/ -2 (pow x 5)) |
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ -2 (pow x 3)) |
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x) (*.f64 x x)) |
(/ -2 (pow x 3)) |
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x) (*.f64 x x)) |
(/ -2 (pow x 4)) |
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -2 (pow x 2)) 2) (pow x 4)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -2 (pow x 2)) 2) (pow x 4)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -2 (pow x 2)) 2) (pow x 4)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x)) |
(/ -2 (pow x 3)) |
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(/ (- (* -2 (pow x 2)) 2) (pow x 3)) |
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(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))) (* 2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) x) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- x 1)) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* x (- x 1)) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* x (- x 1)) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
x |
(* x (+ 1 x)) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(* x (+ 1 x)) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(* x (+ 1 x)) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
Compiled 39 856 to 3 688 computations (90.7% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 396 | 5 | 1 401 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 400 | 14 | 1 414 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.0% | (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
| ✓ | 99.0% | (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
| ▶ | 99.0% | (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
| ▶ | 68.1% | (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
| ▶ | 22.2% | (/.f64 (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
| ✓ | 99.2% | (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
| 42.2% | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) | |
| ▶ | 98.8% | (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
| ✓ | 98.7% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | 4.9% | (/.f64 #s(literal -2 binary64) x) |
| 8.2% | (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 x (*.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| ✓ | 20.4% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
| 46.9% | (*.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) | |
| ▶ | 98.9% | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
Compiled 334 to 192 computations (42.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
| ✓ | cost-diff | 6208 | (pow.f64 x #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 x #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
| ✓ | cost-diff | 768 | (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 256 | (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
| 14 788× | accelerator-lowering-fma.f32 |
| 14 788× | accelerator-lowering-fma.f64 |
| 2 382× | *-lowering-*.f32 |
| 2 382× | *-lowering-*.f64 |
| 1 894× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 165 |
| 1 | 78 | 165 |
| 2 | 183 | 165 |
| 3 | 470 | 165 |
| 4 | 1374 | 165 |
| 5 | 4991 | 125 |
| 0 | 8681 | 123 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 2 x) (* x x)) |
(/ 2 x) |
2 |
x |
(* x x) |
(* (/ 2 (* x x)) (/ 1 x)) |
(/ 2 (* x x)) |
2 |
(* x x) |
x |
(/ 1 x) |
1 |
(/ (+ (* (/ (- 2 x) (+ x -1)) (+ 1 x)) x) (* x (+ 1 x))) |
(+ (* (/ (- 2 x) (+ x -1)) (+ 1 x)) x) |
(* (/ (- 2 x) (+ x -1)) (+ 1 x)) |
(/ (- 2 x) (+ x -1)) |
(- 2 x) |
2 |
x |
(+ x -1) |
-1 |
(+ 1 x) |
1 |
(* x (+ 1 x)) |
(/ (+ (* x (+ x -1)) (* (+ x 1) (- 2 x))) (* (+ x 1) (* x (+ x -1)))) |
(+ (* x (+ x -1)) (* (+ x 1) (- 2 x))) |
(* x (+ x -1)) |
x |
(+ x -1) |
-1 |
(* (+ x 1) (- 2 x)) |
(+ x 1) |
1 |
(- 2 x) |
2 |
(* (+ x 1) (* x (+ x -1))) |
(/ 2 (pow x 3)) |
2 |
(pow x 3) |
x |
3 |
| Outputs |
|---|
(/ (/ 2 x) (* x x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
(* x x) |
(*.f64 x x) |
(* (/ 2 (* x x)) (/ 1 x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (* x x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
2 |
#s(literal 2 binary64) |
(* x x) |
(*.f64 x x) |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(/ (+ (* (/ (- 2 x) (+ x -1)) (+ 1 x)) x) (* x (+ 1 x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(+ (* (/ (- 2 x) (+ x -1)) (+ 1 x)) x) |
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64))) |
(* (/ (- 2 x) (+ x -1)) (+ 1 x)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64))) x) |
(/ (- 2 x) (+ x -1)) |
(/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
x |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(* x (+ 1 x)) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(/ (+ (* x (+ x -1)) (* (+ x 1) (- 2 x))) (* (+ x 1) (* x (+ x -1)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(+ (* x (+ x -1)) (* (+ x 1) (- 2 x))) |
#s(literal 2 binary64) |
(* x (+ x -1)) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
x |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* (+ x 1) (- 2 x)) |
(-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
(* (+ x 1) (* x (+ x -1))) |
(*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
2 |
#s(literal 2 binary64) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
x |
3 |
#s(literal 3 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 3 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
| ✓ | accuracy | 5.4% | (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.8% | (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 6.6% | (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
| 75.0ms | 115× | 2 | valid |
| 63.0ms | 139× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 189 to 29 computations (84.7% saved)
ival-div: 30.0ms (30.7% of total)ival-mult: 25.0ms (25.6% of total)adjust: 18.0ms (18.4% of total)ival-add: 13.0ms (13.3% of total)ival-pow: 5.0ms (5.1% of total)ival-sub: 4.0ms (4.1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ 2 x) (* x x))> |
#<alt (/ 2 x)> |
#<alt (* x x)> |
#<alt (* (/ 2 (* x x)) (/ 1 x))> |
#<alt (/ 2 (* x x))> |
#<alt (/ 1 x)> |
#<alt (+ (* (/ (- 2 x) (+ x -1)) (+ 1 x)) x)> |
#<alt (* (/ (- 2 x) (+ x -1)) (+ 1 x))> |
#<alt (/ (+ (* (/ (- 2 x) (+ x -1)) (+ 1 x)) x) (* x (+ 1 x)))> |
#<alt (/ (- 2 x) (+ x -1))> |
#<alt (+ (* x (+ x -1)) (* (+ x 1) (- 2 x)))> |
#<alt (* (+ x 1) (* x (+ x -1)))> |
#<alt (/ (+ (* x (+ x -1)) (* (+ x 1) (- 2 x))) (* (+ x 1) (* x (+ x -1))))> |
#<alt (* x (+ x -1))> |
#<alt (pow x 3)> |
#<alt (/ 2 (pow x 3))> |
#<alt (* x (+ 1 x))> |
| Outputs |
|---|
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (/ 2 x)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt -2> |
#<alt (- (* -2 x) 2)> |
#<alt (- (* x (- (* -2 x) 2)) 2)> |
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 2)> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ 1 x))) x)> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x)> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ 1 x))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) x))> |
#<alt -2> |
#<alt (- (* -3 x) 2)> |
#<alt (- (* x (- (* -2 x) 3)) 2)> |
#<alt (- (* x (- (* x (- (* -2 x) 2)) 3)) 2)> |
#<alt (* -1 x)> |
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1))> |
#<alt (* x (- (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3))) 1))> |
#<alt (* x (- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 3)))) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))) (* 2 (/ 1 (pow x 2))))))> |
#<alt (/ -2 x)> |
#<alt (/ (- (* -2 (pow x 2)) 2) x)> |
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))> |
#<alt -2> |
#<alt (- (* -1 x) 2)> |
#<alt (- (* x (- (* -1 x) 1)) 2)> |
#<alt (- (* x (- (* x (- (* -1 x) 1)) 1)) 2)> |
#<alt -1> |
#<alt (- (/ 1 x) 1)> |
#<alt (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)> |
#<alt (- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1)> |
#<alt -1> |
#<alt (- (/ 1 x) 1)> |
#<alt (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) 1)> |
#<alt 2> |
#<alt 2> |
#<alt 2> |
#<alt 2> |
#<alt 2> |
#<alt 2> |
#<alt 2> |
#<alt 2> |
#<alt 2> |
#<alt 2> |
#<alt 2> |
#<alt 2> |
#<alt (* -1 x)> |
#<alt (* x (- (pow x 2) 1))> |
#<alt (* x (- (pow x 2) 1))> |
#<alt (* x (- (pow x 2) 1))> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (- 1 (/ 1 (pow x 2))))> |
#<alt (pow x 3)> |
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))> |
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))> |
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))> |
#<alt (/ -2 x)> |
#<alt (/ (- (* -2 (pow x 2)) 2) x)> |
#<alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))> |
#<alt (* -1 x)> |
#<alt (* x (- x 1))> |
#<alt (* x (- x 1))> |
#<alt (* x (- x 1))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1 (/ 1 x)))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt (/ 2 (pow x 3))> |
#<alt x> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 x))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+ (* x (+ x -1)) (* (+ x 1) (- 2 x))) |
| 0.0ms | x | @ | 0 | (+ (* x (+ x -1)) (* (+ x 1) (- 2 x))) |
| 0.0ms | x | @ | inf | (* (+ x 1) (* x (+ x -1))) |
| 0.0ms | x | @ | 0 | (* (+ x 1) (* x (+ x -1))) |
| 0.0ms | x | @ | -inf | (+ (* x (+ x -1)) (* (+ x 1) (- 2 x))) |
| 1× | batch-egg-rewrite |
| 4 808× | *-lowering-*.f32 |
| 4 808× | *-lowering-*.f64 |
| 4 754× | /-lowering-/.f32 |
| 4 754× | /-lowering-/.f64 |
| 2 816× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 137 |
| 1 | 193 | 133 |
| 2 | 1774 | 133 |
| 0 | 8347 | 125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 2 x) (* x x)) |
(/ 2 x) |
(* x x) |
(* (/ 2 (* x x)) (/ 1 x)) |
(/ 2 (* x x)) |
(/ 1 x) |
(+ (* (/ (- 2 x) (+ x -1)) (+ 1 x)) x) |
(* (/ (- 2 x) (+ x -1)) (+ 1 x)) |
(/ (+ (* (/ (- 2 x) (+ x -1)) (+ 1 x)) x) (* x (+ 1 x))) |
(/ (- 2 x) (+ x -1)) |
(+ (* x (+ x -1)) (* (+ x 1) (- 2 x))) |
(* (+ x 1) (* x (+ x -1))) |
(/ (+ (* x (+ x -1)) (* (+ x 1) (- 2 x))) (* (+ x 1) (* x (+ x -1)))) |
(* x (+ x -1)) |
(pow x 3) |
(/ 2 (pow x 3)) |
(* x (+ 1 x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64)))))) |
(+.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) |
(-.f64 (*.f64 x x) x) |
(fma.f64 x x (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 x x)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) x) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) x) |
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(+.f64 x (*.f64 x x)) |
(+.f64 (*.f64 x x) x) |
(fma.f64 x x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) x) |
(/.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x (*.f64 x x))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
| 1× | egg-herbie |
| 16 082× | accelerator-lowering-fma.f32 |
| 16 082× | accelerator-lowering-fma.f64 |
| 3 606× | *-lowering-*.f32 |
| 3 606× | *-lowering-*.f64 |
| 2 984× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 1225 |
| 1 | 369 | 1211 |
| 2 | 1023 | 1184 |
| 3 | 3408 | 1112 |
| 0 | 8504 | 1083 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 2 (pow x 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
-2 |
(- (* -2 x) 2) |
(- (* x (- (* -2 x) 2)) 2) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 2) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 x))) x) |
(/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x) |
(/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) x)) |
-2 |
(- (* -3 x) 2) |
(- (* x (- (* -2 x) 3)) 2) |
(- (* x (- (* x (- (* -2 x) 2)) 3)) 2) |
(* -1 x) |
(* x (- (* 2 (/ 1 (pow x 2))) 1)) |
(* x (- (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3))) 1)) |
(* x (- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 3)))) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))) (* 2 (/ 1 (pow x 2)))))) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
-2 |
(- (* -1 x) 2) |
(- (* x (- (* -1 x) 1)) 2) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 2) |
-1 |
(- (/ 1 x) 1) |
(- (+ (/ 1 x) (/ 1 (pow x 2))) 1) |
(- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1) |
-1 |
(- (/ 1 x) 1) |
(- (+ (/ 1 x) (/ 1 (pow x 2))) 1) |
(- (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) 1) |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
(* -1 x) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(* x (- (pow x 2) 1)) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(* -1 x) |
(* x (- x 1)) |
(* x (- x 1)) |
(* x (- x 1)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 3)) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
| Outputs |
|---|
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
-2 |
#s(literal -2 binary64) |
(- (* -2 x) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) |
(- (* x (- (* -2 x) 2)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(- (* x (- (* x (- (* -2 x) 2)) 2)) 2) |
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 2 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) |
(/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 2 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) x) |
-2 |
#s(literal -2 binary64) |
(- (* -3 x) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -3 binary64))) |
(- (* x (- (* -2 x) 3)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
(- (* x (- (* x (- (* -2 x) 2)) 3)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -3 binary64)))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 2 (/ 1 (pow x 2))) 1)) |
(-.f64 (/.f64 #s(literal 2 binary64) x) x) |
(* x (- (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3))) 1)) |
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x) |
(* x (- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 3)))) 1)) |
(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (* 2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 2 binary64) x) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))) (* 2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(+.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(+.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
-2 |
#s(literal -2 binary64) |
(- (* -1 x) 2) |
(-.f64 #s(literal -2 binary64) x) |
(- (* x (- (* -1 x) 1)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x))) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 2) |
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x))))) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(- (+ (/ 1 x) (/ 1 (pow x 2))) 1) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(- (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 x) 1) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(- (+ (/ 1 x) (/ 1 (pow x 2))) 1) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(- (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
2 |
#s(literal 2 binary64) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (pow x 2) 1)) |
(*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
(* x (- (pow x 2) 1)) |
(*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
(* x (- (pow x 2) 1)) |
(*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(+.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(+.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- x 1)) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* x (- x 1)) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* x (- x 1)) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
x |
(* x (+ 1 x)) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(* x (+ 1 x)) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(* x (+ 1 x)) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
Compiled 66 531 to 5 858 computations (91.2% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 636 | 1 | 1 637 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 4 | 6 |
| Total | 1 641 | 10 | 1 651 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.0% | (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
| ✓ | 99.0% | (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
| ✓ | 99.0% | (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
| 42.2% | (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) | |
| ✓ | 98.8% | (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
| 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))) | |
| ✓ | 98.7% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | 4.9% | (/.f64 #s(literal -2 binary64) x) |
| 46.9% | (*.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) | |
| ✓ | 98.9% | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
Compiled 495 to 162 computations (67.3% saved)
| Inputs |
|---|
(/.f64 #s(literal -2 binary64) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 x (*.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
(/.f64 (+.f64 (*.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
2 calls:
| 8.0ms | x |
| 5.0ms | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 18 to 11 computations (38.9% saved)
| Inputs |
|---|
(/.f64 #s(literal -2 binary64) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 x (*.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 18 to 11 computations (38.9% saved)
| Inputs |
|---|
(/.f64 #s(literal -2 binary64) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 #s(literal -2 binary64) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(/.f64 #s(literal -2 binary64) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 #s(literal -2 binary64) x) |
| Outputs |
|---|
(/.f64 #s(literal -2 binary64) x) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 60 |
| 1 | 39 | 60 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal -2 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) x) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal -2 binary64) x) |
| 16 082× | accelerator-lowering-fma.f32 |
| 16 082× | accelerator-lowering-fma.f64 |
| 12 528× | accelerator-lowering-fma.f32 |
| 12 528× | accelerator-lowering-fma.f64 |
| 11 594× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 196 |
| 1 | 264 | 188 |
| 2 | 2819 | 186 |
| 0 | 8819 | 172 |
| 0 | 10 | 15 |
| 1 | 21 | 15 |
| 2 | 39 | 15 |
| 3 | 67 | 15 |
| 4 | 127 | 15 |
| 5 | 242 | 15 |
| 6 | 385 | 15 |
| 7 | 498 | 15 |
| 8 | 545 | 15 |
| 0 | 545 | 15 |
| 0 | 11 | 35 |
| 1 | 91 | 35 |
| 2 | 1159 | 35 |
| 0 | 8148 | 33 |
| 0 | 27 | 145 |
| 1 | 208 | 141 |
| 2 | 2272 | 139 |
| 0 | 8738 | 128 |
| 0 | 111 | 449 |
| 1 | 287 | 437 |
| 2 | 729 | 418 |
| 3 | 2284 | 402 |
| 4 | 6891 | 396 |
| 0 | 8322 | 390 |
| 0 | 145 | 1225 |
| 1 | 369 | 1211 |
| 2 | 1023 | 1184 |
| 3 | 3408 | 1112 |
| 0 | 8504 | 1083 |
| 0 | 149 | 1525 |
| 1 | 378 | 1500 |
| 2 | 960 | 1432 |
| 3 | 3097 | 1381 |
| 4 | 7447 | 1375 |
| 0 | 8135 | 1341 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 307 to 184 computations (40.1% saved)
(negabs x)
Compiled 278 to 144 computations (48.2% saved)
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