
Time bar (total: 11.1s)
| 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)
| 1.8s | 7 151× | 1 | valid |
| 456.0ms | 825× | 2 | valid |
| 26.0ms | 280× | 0 | valid |
ival-div: 497.0ms (27.9% of total)ival-sub: 416.0ms (23.3% of total)ival-add: 348.0ms (19.5% of total)ival->: 239.0ms (13.4% of total)adjust: 205.0ms (11.5% of total)ival-fabs: 55.0ms (3.1% of total)exact: 16.0ms (0.9% of total)ival-assert: 7.0ms (0.4% 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 |
| 73.0ms | 444× | 1 | valid |
| 11.0ms | 48× | 2 | valid |
| 1.0ms | 20× | 0 | valid |
Compiled 128 to 44 computations (65.6% saved)
ival-div: 29.0ms (48% of total)ival-sub: 11.0ms (18.2% of total)adjust: 10.0ms (16.6% of total)ival-add: 9.0ms (14.9% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.2% | (+.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 16 to 10 computations (37.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| ✓ | 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 (-.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)))) |
| 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 | 10 | 46 |
| 1 | 21 | 46 |
| 2 | 39 | 46 |
| 3 | 67 | 46 |
| 4 | 127 | 46 |
| 5 | 242 | 46 |
| 6 | 385 | 46 |
| 7 | 498 | 46 |
| 8 | 545 | 46 |
| 0 | 545 | 46 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
(- (/ 1 (+ x 1)) (/ 2 x)) |
(/ 1 (+ x 1)) |
1 |
(+ x 1) |
x |
(/ 2 x) |
2 |
(/ 1 (- 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))) |
(- (/ 1 (+ x 1)) (/ 2 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x)) |
(/ 1 (+ x 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
x |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
(/ 1 (- x 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | 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 (/.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)))) |
| 33.0ms | 222× | 1 | valid |
| 5.0ms | 24× | 2 | valid |
| 1.0ms | 10× | 0 | valid |
Compiled 48 to 12 computations (75% saved)
ival-div: 12.0ms (45.1% of total)ival-add: 5.0ms (18.8% of total)adjust: 4.0ms (15% of total)ival-sub: 4.0ms (15% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))> |
#<alt (- (/ 1 (+ x 1)) (/ 2 x))> |
#<alt (/ 1 (+ x 1))> |
#<alt (+ x 1)> |
#<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 (/ -2 x)> |
#<alt (/ (- x 2) x)> |
#<alt (/ (- (* x (+ 1 (* -1 x))) 2) x)> |
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 2) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))> |
#<alt (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)> |
#<alt (/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))> |
#<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> |
#<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 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
| 0.0ms | x | @ | 0 | (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
| 0.0ms | x | @ | -inf | (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
| 0.0ms | x | @ | inf | (/ 1 (+ x 1)) |
| 0.0ms | x | @ | inf | (- (/ 1 (+ x 1)) (/ 2 x)) |
| 1× | batch-egg-rewrite |
| 6 034× | accelerator-lowering-fma.f32 |
| 6 034× | accelerator-lowering-fma.f64 |
| 5 166× | *-lowering-*.f32 |
| 5 166× | *-lowering-*.f64 |
| 4 962× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 1 | 87 | 35 |
| 2 | 1088 | 35 |
| 0 | 8494 | 32 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) |
(- (/ 1 (+ x 1)) (/ 2 x)) |
(/ 1 (+ x 1)) |
(+ x 1) |
(- x 1) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 (/.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 -2 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 -2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 (/.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 -2 binary64) x))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.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 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.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 #s(literal 1 binary64) (+.f64 x #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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.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 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 2 binary64) x)) |
(-.f64 (/.f64 (/.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 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.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 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #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 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.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 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))))) |
(-.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x)))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x))) (-.f64 (/.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 -2 binary64) x))))) |
(-.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 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.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 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))) |
(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 x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.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 -2 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) 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)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.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 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.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)))))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
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(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 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 x #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1 binary64))) |
(-.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 (*.f64 x x)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 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)))) |
(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 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.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 x #s(literal -1 binary64))) |
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (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 x #s(literal -1 binary64)))) |
(/.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 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (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 #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 (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x 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)) |
(*.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 #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.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 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #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 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) |
| 1× | egg-herbie |
| 8 678× | accelerator-lowering-fma.f32 |
| 8 678× | accelerator-lowering-fma.f64 |
| 2 816× | --lowering--.f32 |
| 2 816× | --lowering--.f64 |
| 2 690× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 449 |
| 1 | 268 | 428 |
| 2 | 699 | 407 |
| 3 | 2208 | 394 |
| 4 | 6905 | 394 |
| 0 | 8101 | 388 |
| 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))) |
(/ -2 x) |
(/ (- x 2) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) |
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 |
(- 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 x (*.f64 #s(literal -2 binary64) (*.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 (* 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 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -2 binary64) (*.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 #s(literal 2 binary64) (+.f64 (/.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 #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))) 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 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) x) x)) (*.f64 x (*.f64 x x))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- x 2) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* x (+ 1 (* x (- x 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 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 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 (/ 1 x)) x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 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 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) 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) |
(+ 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)) |
-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 17 355 to 1 773 computations (89.8% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 493 | 8 | 501 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 493 | 9 | 502 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) x) (*.f64 x x)) |
| ▶ | 99.2% | (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
| ▶ | 68.1% | (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) x) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
| ▶ | 22.1% | (/.f64 (+.f64 (*.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) |
| 99.4% | (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) x) 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) |
| 68.1% | (+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| ✓ | 68.2% | (+.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 308 to 164 computations (46.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 256 | (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
| ✓ | cost-diff | 768 | (+.f64 (*.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) x) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) x) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
| ✓ | cost-diff | 256 | (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #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 #s(literal -2 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) x) (*.f64 x x)) |
| 10 860× | accelerator-lowering-fma.f32 |
| 10 860× | accelerator-lowering-fma.f64 |
| 3 284× | --lowering--.f32 |
| 3 284× | --lowering--.f64 |
| 2 182× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 284 |
| 1 | 110 | 284 |
| 2 | 303 | 268 |
| 3 | 891 | 256 |
| 4 | 2521 | 232 |
| 5 | 7772 | 232 |
| 0 | 8126 | 224 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) x) (* x x)) |
(/ (- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) x) |
(- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) |
2 |
(/ (+ -2 (/ -2 (* x x))) (* x x)) |
(+ -2 (/ -2 (* x x))) |
-2 |
(/ -2 (* x x)) |
(* x x) |
x |
(/ -2 x) |
-2 |
x |
(/ (- 2 (/ -2 (* x x))) (* x (* x x))) |
(- 2 (/ -2 (* x x))) |
2 |
(/ -2 (* x x)) |
-2 |
(* x x) |
x |
(* x (* x x)) |
(/ (+ (* (/ (- x (* (+ 1 x) 2)) (+ 1 x)) (+ x -1)) x) (* x (+ x -1))) |
(+ (* (/ (- x (* (+ 1 x) 2)) (+ 1 x)) (+ x -1)) x) |
(* (/ (- x (* (+ 1 x) 2)) (+ 1 x)) (+ x -1)) |
(/ (- x (* (+ 1 x) 2)) (+ 1 x)) |
(- x (* (+ 1 x) 2)) |
x |
(* (+ 1 x) 2) |
(+ 1 x) |
1 |
2 |
(+ x -1) |
-1 |
(* x (+ x -1)) |
(/ (+ (* (- x (* (+ 1 x) 2)) (+ x -1)) (* (* x (+ 1 x)) 1)) (* (* x (+ 1 x)) (+ x -1))) |
(+ (* (- x (* (+ 1 x) 2)) (+ x -1)) (* (* x (+ 1 x)) 1)) |
(* (- x (* (+ 1 x) 2)) (+ x -1)) |
(- x (* (+ 1 x) 2)) |
x |
(* (+ 1 x) 2) |
(+ 1 x) |
1 |
2 |
(+ x -1) |
-1 |
(* (* x (+ 1 x)) 1) |
(* x (+ 1 x)) |
(* (* x (+ 1 x)) (+ x -1)) |
| Outputs |
|---|
(/ (/ (- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) x) (* x x)) |
(/.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))) |
(/ (- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) |
2 |
#s(literal 2 binary64) |
(/ (+ -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))) |
(+.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 |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
-2 |
#s(literal -2 binary64) |
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)) |
-2 |
#s(literal -2 binary64) |
(* x x) |
(*.f64 x x) |
x |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(/ (+ (* (/ (- x (* (+ 1 x) 2)) (+ 1 x)) (+ x -1)) x) (* x (+ x -1))) |
(/.f64 (+.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 x #s(literal 1 binary64)))) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
(+ (* (/ (- x (* (+ 1 x) 2)) (+ 1 x)) (+ x -1)) x) |
(+.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 x #s(literal 1 binary64)))) |
(* (/ (- x (* (+ 1 x) 2)) (+ 1 x)) (+ x -1)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x))) (+.f64 x #s(literal 1 binary64))) |
(/ (- x (* (+ 1 x) 2)) (+ 1 x)) |
(+.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(- x (* (+ 1 x) 2)) |
(-.f64 #s(literal -2 binary64) x) |
x |
(* (+ 1 x) 2) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
2 |
#s(literal 2 binary64) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* x (+ x -1)) |
(*.f64 x (+.f64 x #s(literal -1 binary64))) |
(/ (+ (* (- x (* (+ 1 x) 2)) (+ x -1)) (* (* x (+ 1 x)) 1)) (* (* x (+ 1 x)) (+ x -1))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(+ (* (- x (* (+ 1 x) 2)) (+ x -1)) (* (* x (+ 1 x)) 1)) |
#s(literal 2 binary64) |
(* (- x (* (+ 1 x) 2)) (+ x -1)) |
(+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x))) |
(- x (* (+ 1 x) 2)) |
(-.f64 #s(literal -2 binary64) x) |
x |
(* (+ 1 x) 2) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
2 |
#s(literal 2 binary64) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* (* x (+ 1 x)) 1) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(* x (+ 1 x)) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(* (* x (+ 1 x)) (+ x -1)) |
(*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 (*.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) |
| ✓ | accuracy | 5.4% | (+.f64 (*.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (+.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) x) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
| ✓ | accuracy | 6.6% | (+.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) x) |
| ✓ | 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 #s(literal -2 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) x) (*.f64 x x)) |
| ✓ | accuracy | 99.2% | (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal -2 binary64) (*.f64 x x)) |
| 78.0ms | 139× | 1 | valid |
| 76.0ms | 115× | 2 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 314 to 33 computations (89.5% saved)
ival-div: 32.0ms (27.7% of total)ival-sub: 27.0ms (23.4% of total)ival-mult: 26.0ms (22.5% of total)adjust: 17.0ms (14.7% of total)ival-add: 12.0ms (10.4% 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 (/ -2 (* x x))) (* x x))) x) (* x x))> |
#<alt (/ (- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) x)> |
#<alt (- 2 (/ (+ -2 (/ -2 (* x x))) (* x x)))> |
#<alt (/ (+ -2 (/ -2 (* x x))) (* x x))> |
#<alt (/ -2 x)> |
#<alt (/ (- 2 (/ -2 (* x x))) (* x (* x x)))> |
#<alt (- 2 (/ -2 (* x x)))> |
#<alt (/ -2 (* x x))> |
#<alt (* x x)> |
#<alt (- x (* (+ 1 x) 2))> |
#<alt (/ (+ (* (/ (- x (* (+ 1 x) 2)) (+ 1 x)) (+ x -1)) x) (* x (+ x -1)))> |
#<alt (+ (* (/ (- x (* (+ 1 x) 2)) (+ 1 x)) (+ x -1)) x)> |
#<alt (* (/ (- x (* (+ 1 x) 2)) (+ 1 x)) (+ x -1))> |
#<alt (+ (* (- x (* (+ 1 x) 2)) (+ x -1)) (* (* x (+ 1 x)) 1))> |
#<alt (* (* x (+ 1 x)) 1)> |
#<alt (* (* x (+ 1 x)) (+ x -1))> |
#<alt (* x (* x x))> |
#<alt (* x (+ x -1))> |
#<alt (/ (+ (* (- x (* (+ 1 x) 2)) (+ x -1)) (* (* x (+ 1 x)) 1)) (* (* x (+ 1 x)) (+ x -1)))> |
#<alt (* x (+ 1 x))> |
| Outputs |
|---|
#<alt (/ 2 (pow x 7))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 7))> |
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))> |
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))> |
#<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 (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 2))) 2) (pow x 3)))> |
#<alt (/ 2 (pow x 5))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5))> |
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 5))> |
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 5))> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x))> |
#<alt (/ 2 (pow x 4))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4))> |
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))> |
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))> |
#<alt 2> |
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))> |
#<alt (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))> |
#<alt (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))> |
#<alt 2> |
#<alt (+ 2 (* 2 (/ 1 (pow x 2))))> |
#<alt (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))> |
#<alt (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))> |
#<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 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 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 (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> |
#<alt (- (* -1 x) 2)> |
#<alt (- (* -1 x) 2)> |
#<alt (- (* -1 x) 2)> |
#<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 (* -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 (* -2 x))> |
#<alt (+ 2 (* x (- (* 2 x) 2)))> |
#<alt (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))> |
#<alt (/ 2 x)> |
#<alt (/ (- 2 (* 2 (/ 1 x))) x)> |
#<alt (/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)> |
#<alt (/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)> |
#<alt (/ 2 x)> |
#<alt (* -1 (/ (- (* 2 (/ 1 x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))> |
#<alt 2> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* x (- (* 2 x) 3)))> |
#<alt (+ 2 (* x (- (* x (+ 2 (* -2 x))) 3)))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1))> |
#<alt (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 2 (pow x 3)))))> |
#<alt (* x (- (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 4)))) (+ 1 (/ 2 (pow x 3)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (/ 2 (pow x 3))) (* 2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 2) (pow x 3)))) (* 2 (/ 1 (pow x 2))))))> |
#<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 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)))> |
#<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 (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* -1 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 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 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)))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* x (+ x -1)) |
| 1.0ms | x | @ | inf | (* (/ (- x (* (+ 1 x) 2)) (+ 1 x)) (+ x -1)) |
| 1.0ms | x | @ | -inf | (+ (* (- x (* (+ 1 x) 2)) (+ x -1)) (* (* x (+ 1 x)) 1)) |
| 1.0ms | x | @ | 0 | (/ (/ (- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) x) (* x x)) |
| 1.0ms | x | @ | 0 | (/ (+ -2 (/ -2 (* x x))) (* x x)) |
| 1× | batch-egg-rewrite |
| 4 924× | /-lowering-/.f32 |
| 4 924× | /-lowering-/.f64 |
| 4 638× | *-lowering-*.f32 |
| 4 638× | *-lowering-*.f64 |
| 1 940× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 218 |
| 1 | 252 | 218 |
| 2 | 2518 | 218 |
| 0 | 8384 | 193 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) x) (* x x)) |
(/ (- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) x) |
(- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) |
(/ (+ -2 (/ -2 (* x x))) (* x x)) |
(/ -2 x) |
(/ (- 2 (/ -2 (* x x))) (* x (* x x))) |
(- 2 (/ -2 (* x x))) |
(/ -2 (* x x)) |
(* x x) |
(- x (* (+ 1 x) 2)) |
(/ (+ (* (/ (- x (* (+ 1 x) 2)) (+ 1 x)) (+ x -1)) x) (* x (+ x -1))) |
(+ (* (/ (- x (* (+ 1 x) 2)) (+ 1 x)) (+ x -1)) x) |
(* (/ (- x (* (+ 1 x) 2)) (+ 1 x)) (+ x -1)) |
(+ (* (- x (* (+ 1 x) 2)) (+ x -1)) (* (* x (+ 1 x)) 1)) |
(* (* x (+ 1 x)) 1) |
(* (* x (+ 1 x)) (+ x -1)) |
(* x (* x x)) |
(* x (+ x -1)) |
(/ (+ (* (- x (* (+ 1 x) 2)) (+ x -1)) (* (* x (+ 1 x)) 1)) (* (* x (+ 1 x)) (+ x -1))) |
(* x (+ 1 x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) x) (*.f64 x x))) |
(/.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))) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) x) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) x) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.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 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.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 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.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 (*.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.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 (/.f64 x (+.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 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.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 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) x) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.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 x)) (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))))) |
(/.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) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (neg.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))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.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 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.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 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (/.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 #s(literal 2 binary64) (*.f64 x 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 x (*.f64 x (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.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 x (*.f64 x x)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 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))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))) |
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(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 (+.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.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 (*.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))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.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 (*.f64 x (+.f64 x #s(literal 1 binary64))) (-.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 (pow.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 (*.f64 (+.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.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 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 x (*.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(+.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) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) x) |
(/.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 (*.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 x) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x 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 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)) |
| 1× | egg-herbie |
| 20 906× | accelerator-lowering-fma.f32 |
| 20 906× | accelerator-lowering-fma.f64 |
| 4 232× | *-lowering-*.f32 |
| 4 232× | *-lowering-*.f64 |
| 3 802× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 155 | 1725 |
| 1 | 404 | 1700 |
| 2 | 1116 | 1632 |
| 3 | 3701 | 1610 |
| 0 | 8187 | 1547 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow x 7)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 7)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7)) |
(/ 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 (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 2))) 2) (pow x 3))) |
(/ 2 (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 5)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 5)) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) |
(/ 2 (pow x 4)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 4)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4)) |
2 |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) |
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) |
2 |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) |
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) |
(/ -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 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 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 (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 |
(- (* -1 x) 2) |
(- (* -1 x) 2) |
(- (* -1 x) 2) |
(* -1 x) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* -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 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(/ 2 x) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
(/ 2 x) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
2 |
(+ 2 (* -3 x)) |
(+ 2 (* x (- (* 2 x) 3))) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 3))) |
(* -1 x) |
(* x (- (* 2 (/ 1 (pow x 2))) 1)) |
(* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 2 (pow x 3))))) |
(* x (- (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 4)))) (+ 1 (/ 2 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (/ 2 (pow x 3))) (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 2) (pow x 3)))) (* 2 (/ 1 (pow x 2)))))) |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
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))) |
(* -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))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -1 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 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))) |
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 7)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 7 binary64))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 7)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (pow.f64 x #s(literal 7 binary64))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (pow.f64 x #s(literal 7 binary64))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (pow.f64 x #s(literal 7 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) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) 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) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) 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 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) 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 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) x) (*.f64 x x)) |
(/ 2 (pow x 5)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) x) |
(/ 2 (pow x 4)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 4)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) |
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) |
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal -2 binary64) 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 (/.f64 #s(literal -2 binary64) 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 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 5)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.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 (/.f64 #s(literal 2 binary64) x) x)) (*.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)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal 2 binary64) x) x)) (*.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)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x (*.f64 x x))) |
(/ 2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) 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 |
#s(literal -2 binary64) |
(- (* -1 x) 2) |
(-.f64 #s(literal -2 binary64) x) |
(- (* -1 x) 2) |
(-.f64 #s(literal -2 binary64) x) |
(- (* -1 x) 2) |
(-.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) |
(* -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 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 (/.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) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) 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) (pow.f64 x #s(literal 6 binary64))) (+.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))) |
(/ 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 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) 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 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 2 (* x (- (* 2 x) 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x)))) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 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 (pow x 2))) (* 2 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) 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) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) 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 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) 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) |
(+ 2 (* -3 x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(+ 2 (* x (- (* 2 x) 3))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -3 binary64)))) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 3))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 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))) (+ 1 (/ 2 (pow x 3))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.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)))) (+ 1 (/ 2 (pow x 3))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) (*.f64 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 (/ 2 (pow x 3))) (* 2 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x) x))) |
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 2) (pow x 3)))) (* 2 (/ 1 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) (*.f64 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) |
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))) |
(* -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))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -1 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 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 (/.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) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) 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) (pow.f64 x #s(literal 6 binary64))) (+.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))) |
(/ 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 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) 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 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))) (*.f64 x x))) (*.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 38 706 to 3 215 computations (91.7% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 239 | 8 | 1 247 |
| Fresh | 2 | 1 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 246 | 10 | 1 256 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x) | |
| ▶ | 53.4% | (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) 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 #s(literal 2 binary64) x) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))))) (*.f64 x x)) |
| ▶ | 99.4% | (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) x) |
| 99.0% | (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) | |
| 99.2% | (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) | |
| 42.2% | (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) | |
| ▶ | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) 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) |
| ▶ | 99.4% | (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
Compiled 424 to 179 computations (57.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) 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 #s(literal 2 binary64) x) (/.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 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) 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 #s(literal 2 binary64) x) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))))) (*.f64 x x)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) x)) |
| ✓ | cost-diff | 1024 | (+.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 #s(literal 2 binary64) x) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.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))) x) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) (*.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 x)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 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 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
| 5 392× | accelerator-lowering-fma.f32 |
| 5 392× | accelerator-lowering-fma.f64 |
| 5 212× | *-lowering-*.f32 |
| 5 212× | *-lowering-*.f64 |
| 2 532× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 494 |
| 1 | 136 | 458 |
| 2 | 494 | 440 |
| 3 | 2416 | 438 |
| 4 | 6153 | 433 |
| 0 | 8632 | 427 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (* (* x (+ 1 x)) (+ x -1))) |
2 |
(* (* x (+ 1 x)) (+ x -1)) |
(* x (+ 1 x)) |
x |
(+ 1 x) |
1 |
(+ x -1) |
-1 |
(/ 2 (* x (* x x))) |
2 |
(* x (* x x)) |
x |
(* x x) |
(/ (/ (+ 2 (/ 2 (* x x))) (* x x)) x) |
(/ (+ 2 (/ 2 (* x x))) (* x x)) |
(+ 2 (/ 2 (* x x))) |
2 |
(/ 2 (* x x)) |
(* x x) |
x |
(* (/ (+ 2 (/ 2 (* x x))) x) (/ 1 (* x x))) |
(/ (+ 2 (/ 2 (* x x))) x) |
(+ 2 (/ 2 (* x x))) |
2 |
(/ 2 (* x x)) |
(* x x) |
x |
(/ 1 (* x x)) |
1 |
(/ (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x))))))) (* x x)) |
(/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x))))))) |
(- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) |
(/ 8 (* x (* x x))) |
8 |
(* x (* x x)) |
x |
(* x x) |
(/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x))))) |
(* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) |
(+ -2 (/ -2 (* x x))) |
-2 |
(/ -2 (* x x)) |
(* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x)))) |
(* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))) |
(* (* x x) (* (* x x) (* x x))) |
(* (* x x) (* x x)) |
(+ (* (/ -2 x) (/ -2 x)) (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))))) |
(* (/ -2 x) (/ -2 x)) |
(/ -2 x) |
(+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x))))) |
(* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) |
(/ (+ -2 (/ -2 (* x x))) (* x (* x x))) |
(* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) |
(/ 2 x) |
2 |
| Outputs |
|---|
(/ 2 (* (* x (+ 1 x)) (+ x -1))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))) |
2 |
#s(literal 2 binary64) |
(* (* x (+ 1 x)) (+ x -1)) |
(*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
(* x (+ 1 x)) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
x |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(/ 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 (/ 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))) |
(-.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 |
(* (/ (+ 2 (/ 2 (* x x))) x) (/ 1 (* 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) |
(/.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)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(/ (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x))))))) (* x x)) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.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 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) (+.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))))) |
(/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x))))))) |
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.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 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) (+.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))))) |
(- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) |
(+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.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 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/ 8 (* x (* x x))) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
8 |
#s(literal 8 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x))))) |
(/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) |
(*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.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)) |
(* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x)))) |
(*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (* x x) (* (* x x) (* x x))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(+ (* (/ -2 x) (/ -2 x)) (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))))) |
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) (+.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)))) |
(* (/ -2 x) (/ -2 x)) |
(/.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) (+.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))) |
(* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 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 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) x) (*.f64 x (*.f64 x x))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
2 |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal -2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 36.7% | (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) 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 #s(literal 2 binary64) x) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) x) |
| ✓ | accuracy | 99.2% | (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x 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 x (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) |
| 109.0ms | 256× | 0 | valid |
Compiled 714 to 43 computations (94% saved)
ival-add: 45.0ms (52.8% of total)ival-div: 22.0ms (25.8% of total)ival-mult: 17.0ms (19.9% of total)ival-sub: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (* x (+ 1 x)) (+ x -1))> |
#<alt (/ 2 (* (* x (+ 1 x)) (+ x -1)))> |
#<alt (* x (+ 1 x))> |
#<alt (+ 1 x)> |
#<alt (/ 2 (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (/ (/ (+ 2 (/ 2 (* x x))) (* x x)) x)> |
#<alt (/ (+ 2 (/ 2 (* x x))) (* x x))> |
#<alt (+ 2 (/ 2 (* x x)))> |
#<alt (/ 2 (* x x))> |
#<alt (* (/ (+ 2 (/ 2 (* x x))) x) (/ 1 (* x x)))> |
#<alt (/ (+ 2 (/ 2 (* x x))) x)> |
#<alt (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))))> |
#<alt (* (/ -2 x) (/ -2 x))> |
#<alt (/ (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x))))))) (* x x))> |
#<alt (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))))))> |
#<alt (/ 1 (* x x))> |
#<alt (/ -2 (* x x))> |
#<alt (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))> |
#<alt (/ 8 (* x (* x x)))> |
| Outputs |
|---|
#<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 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)))> |
#<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 (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 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 4))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 4))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))> |
#<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 (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 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 3))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 3))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 3))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 3))> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)> |
#<alt (/ 4 (pow x 10))> |
#<alt (/ (+ 4 (* 8 (pow x 2))) (pow x 10))> |
#<alt (/ (+ 4 (* (pow x 2) (+ 8 (* -4 (pow x 4))))) (pow x 10))> |
#<alt (/ (+ 4 (* (pow x 2) (+ 8 (* -4 (pow x 4))))) (pow x 10))> |
#<alt (/ -4 (pow x 4))> |
#<alt (/ (- (* 8 (/ 1 (pow x 4))) 4) (pow x 4))> |
#<alt (/ (- (+ (* 8 (/ 1 (pow x 4))) (/ 4 (pow x 6))) 4) (pow x 4))> |
#<alt (/ (- (+ (* 8 (/ 1 (pow x 4))) (/ 4 (pow x 6))) 4) (pow x 4))> |
#<alt (/ -4 (pow x 4))> |
#<alt (/ (- (* 8 (/ 1 (pow x 4))) 4) (pow x 4))> |
#<alt (/ (- (+ (* 8 (/ 1 (pow x 4))) (/ 4 (pow x 6))) 4) (pow x 4))> |
#<alt (/ (- (+ (* 8 (/ 1 (pow x 4))) (/ 4 (pow x 6))) 4) (pow x 4))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 2 (pow x 7))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 7))> |
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))> |
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))> |
#<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 (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 2))) 2) (pow x 3)))> |
#<alt (/ 2 (pow x 5))> |
#<alt (/ (+ 2 (* 2 (pow x 2))) (pow x 5))> |
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 5))> |
#<alt (/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 5))> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ -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 (/ -8 (pow x 15))> |
#<alt (/ (- (* -24 (pow x 2)) 8) (pow x 15))> |
#<alt (/ (- (* (pow x 2) (- (* -24 (pow x 2)) 24)) 8) (pow x 15))> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -8 (pow x 2)) 24)) 24)) 8) (pow x 15))> |
#<alt (/ -8 (pow x 9))> |
#<alt (* -1 (/ (+ 8 (* 24 (/ 1 (pow x 2)))) (pow x 9)))> |
#<alt (/ (- (* -1 (/ (+ 24 (* 24 (/ 1 (pow x 2)))) (pow x 2))) 8) (pow x 9))> |
#<alt (/ (- (* -1 (/ (+ 24 (* 8 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 24 (/ 1 (pow x 2))))) (pow x 9))> |
#<alt (/ -8 (pow x 9))> |
#<alt (* -1 (/ (+ 8 (* 24 (/ 1 (pow x 2)))) (pow x 9)))> |
#<alt (* -1 (/ (+ 8 (+ (* 24 (/ 1 (pow x 2))) (/ 24 (pow x 4)))) (pow x 9)))> |
#<alt (* -1 (/ (+ 8 (+ (* 24 (/ 1 (pow x 2))) (+ (* 8 (/ 1 (pow x 6))) (/ 24 (pow x 4))))) (pow x 9)))> |
#<alt (/ 8 (pow x 3))> |
#<alt (/ 8 (pow x 3))> |
#<alt (/ 8 (pow x 3))> |
#<alt (/ 8 (pow x 3))> |
#<alt (/ 8 (pow x 3))> |
#<alt (/ 8 (pow x 3))> |
#<alt (/ 8 (pow x 3))> |
#<alt (/ 8 (pow x 3))> |
#<alt (/ 8 (pow x 3))> |
#<alt (/ 8 (pow x 3))> |
#<alt (/ 8 (pow x 3))> |
#<alt (/ 8 (pow x 3))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x))))))) |
| 3.0ms | x | @ | 0 | (/ (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x))))))) (* x x)) |
| 1.0ms | x | @ | 0 | (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x))))) |
| 1.0ms | x | @ | inf | (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x))))) |
| 0.0ms | x | @ | inf | (/ (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x))))))) (* x x)) |
| 1× | batch-egg-rewrite |
| 3 972× | /-lowering-/.f32 |
| 3 972× | /-lowering-/.f64 |
| 3 938× | *-lowering-*.f32 |
| 3 938× | *-lowering-*.f64 |
| 2 868× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 281 |
| 1 | 315 | 261 |
| 2 | 3898 | 261 |
| 0 | 8379 | 239 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* x (+ 1 x)) (+ x -1)) |
(/ 2 (* (* x (+ 1 x)) (+ x -1))) |
(* x (+ 1 x)) |
(+ 1 x) |
(/ 2 (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(/ (/ (+ 2 (/ 2 (* x x))) (* x x)) x) |
(/ (+ 2 (/ 2 (* x x))) (* x x)) |
(+ 2 (/ 2 (* x x))) |
(/ 2 (* x x)) |
(* (/ (+ 2 (/ 2 (* x x))) x) (/ 1 (* x x))) |
(/ (+ 2 (/ 2 (* x x))) x) |
(+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x))))) |
(* (/ -2 x) (/ -2 x)) |
(/ (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x))))))) (* x x)) |
(/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (+ (* (/ (+ -2 (/ -2 (* x x))) (* x (* x x))) (/ (+ -2 (/ -2 (* x x))) (* x (* x x)))) (* (/ 2 x) (/ (+ -2 (/ -2 (* x x))) (* x (* x x))))))) |
(/ 1 (* x x)) |
(/ -2 (* x x)) |
(/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x))))) |
(/ 8 (* x (* x x))) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(+.f64 (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) |
(fma.f64 x (*.f64 x (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) x (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x) (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) x (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) x (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))) (*.f64 (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) x) |
(*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 #s(literal -2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (neg.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64)))) |
(pow.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(*.f64 #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 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #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) (*.f64 x (+.f64 x #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)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.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 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(+.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 x (/.f64 x #s(literal 1 binary64)) x) |
(fma.f64 x (pow.f64 (/.f64 x #s(literal 1 binary64)) #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 x x) #s(literal 1 binary64) 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 x) (*.f64 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 #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 #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) |
(+.f64 x #s(literal 1 binary64)) |
(+.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 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 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 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (+.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 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.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 (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #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 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/.f64 #s(literal -2 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(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 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 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 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal 8 binary64) (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 8 binary64) (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) |
(/.f64 #s(literal -8 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 8 binary64) x) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 8 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) x) |
(/.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) x) x) |
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 8 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 8 binary64) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 4 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) |
(*.f64 #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 8 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 1× | egg-herbie |
| 12 804× | accelerator-lowering-fma.f32 |
| 12 804× | accelerator-lowering-fma.f64 |
| 4 134× | *-lowering-*.f32 |
| 4 134× | *-lowering-*.f64 |
| 3 238× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 1887 |
| 1 | 355 | 1872 |
| 2 | 897 | 1843 |
| 3 | 3449 | 1825 |
| 4 | 7121 | 1825 |
| 0 | 8284 | 1777 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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))) |
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))) |
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 (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 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 4)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 4)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 4)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 4)) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ 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 (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 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 3)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 3)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 3)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 3)) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ 4 (pow x 10)) |
(/ (+ 4 (* 8 (pow x 2))) (pow x 10)) |
(/ (+ 4 (* (pow x 2) (+ 8 (* -4 (pow x 4))))) (pow x 10)) |
(/ (+ 4 (* (pow x 2) (+ 8 (* -4 (pow x 4))))) (pow x 10)) |
(/ -4 (pow x 4)) |
(/ (- (* 8 (/ 1 (pow x 4))) 4) (pow x 4)) |
(/ (- (+ (* 8 (/ 1 (pow x 4))) (/ 4 (pow x 6))) 4) (pow x 4)) |
(/ (- (+ (* 8 (/ 1 (pow x 4))) (/ 4 (pow x 6))) 4) (pow x 4)) |
(/ -4 (pow x 4)) |
(/ (- (* 8 (/ 1 (pow x 4))) 4) (pow x 4)) |
(/ (- (+ (* 8 (/ 1 (pow x 4))) (/ 4 (pow x 6))) 4) (pow x 4)) |
(/ (- (+ (* 8 (/ 1 (pow x 4))) (/ 4 (pow x 6))) 4) (pow x 4)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 2 (pow x 7)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 7)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7)) |
(/ 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 (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 2))) 2) (pow x 3))) |
(/ 2 (pow x 5)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 5)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 5)) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ -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)) |
(/ -8 (pow x 15)) |
(/ (- (* -24 (pow x 2)) 8) (pow x 15)) |
(/ (- (* (pow x 2) (- (* -24 (pow x 2)) 24)) 8) (pow x 15)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -8 (pow x 2)) 24)) 24)) 8) (pow x 15)) |
(/ -8 (pow x 9)) |
(* -1 (/ (+ 8 (* 24 (/ 1 (pow x 2)))) (pow x 9))) |
(/ (- (* -1 (/ (+ 24 (* 24 (/ 1 (pow x 2)))) (pow x 2))) 8) (pow x 9)) |
(/ (- (* -1 (/ (+ 24 (* 8 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 24 (/ 1 (pow x 2))))) (pow x 9)) |
(/ -8 (pow x 9)) |
(* -1 (/ (+ 8 (* 24 (/ 1 (pow x 2)))) (pow x 9))) |
(* -1 (/ (+ 8 (+ (* 24 (/ 1 (pow x 2))) (/ 24 (pow x 4)))) (pow x 9))) |
(* -1 (/ (+ 8 (+ (* 24 (/ 1 (pow x 2))) (+ (* 8 (/ 1 (pow x 6))) (/ 24 (pow x 4))))) (pow x 9))) |
(/ 8 (pow x 3)) |
(/ 8 (pow x 3)) |
(/ 8 (pow x 3)) |
(/ 8 (pow x 3)) |
(/ 8 (pow x 3)) |
(/ 8 (pow x 3)) |
(/ 8 (pow x 3)) |
(/ 8 (pow x 3)) |
(/ 8 (pow x 3)) |
(/ 8 (pow x 3)) |
(/ 8 (pow x 3)) |
(/ 8 (pow x 3)) |
| Outputs |
|---|
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (pow x 2) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(* x (- (pow x 2) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(* x (- (pow x 2) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(+.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal -2 binary64))) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(+.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) #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 (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))))) (/.f64 #s(literal -2 binary64) 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))) |
(/ (+ 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 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 #s(literal 2 binary64) (+.f64 (/.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) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) (*.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 #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))) |
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))) |
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 (pow x 3)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/ 2 (pow x 3)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/ 2 (pow x 3)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/ 2 (pow x 3)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/ 2 (pow x 3)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/ 2 (pow x 3)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/ 2 (pow x 3)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/ 2 (pow x 3)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/ 2 (pow x 3)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/ 2 (pow x 3)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/ 2 (pow x 3)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/ 2 (pow x 3)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x 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)) |
(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 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 5)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
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(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -24 binary64) (*.f64 (*.f64 x x) #s(literal -24 binary64)))))) (pow.f64 x #s(literal 15 binary64))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -8 (pow x 2)) 24)) 24)) 8) (pow x 15)) |
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x #s(literal -8 binary64))))))))) (pow.f64 x #s(literal 15 binary64))) |
(/ -8 (pow x 9)) |
(/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (/ (+ 8 (* 24 (/ 1 (pow x 2)))) (pow x 9))) |
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(/ (- (* -1 (/ (+ 24 (* 24 (/ 1 (pow x 2)))) (pow x 2))) 8) (pow x 9)) |
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -24 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(/ (- (* -1 (/ (+ 24 (* 8 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 24 (/ 1 (pow x 2))))) (pow x 9)) |
(/.f64 (+.f64 #s(literal -8 binary64) (+.f64 (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 9 binary64))) |
(/ -8 (pow x 9)) |
(/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (/ (+ 8 (* 24 (/ 1 (pow x 2)))) (pow x 9))) |
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (/ (+ 8 (+ (* 24 (/ 1 (pow x 2))) (/ 24 (pow x 4)))) (pow x 9))) |
(/.f64 (+.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -24 binary64) (*.f64 x x))) (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (/ (+ 8 (+ (* 24 (/ 1 (pow x 2))) (+ (* 8 (/ 1 (pow x 6))) (/ 24 (pow x 4))))) (pow x 9))) |
(/.f64 (+.f64 #s(literal -8 binary64) (+.f64 (/.f64 #s(literal -24 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) (pow.f64 x #s(literal 9 binary64))) |
(/ 8 (pow x 3)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(/ 8 (pow x 3)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(/ 8 (pow x 3)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(/ 8 (pow x 3)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(/ 8 (pow x 3)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(/ 8 (pow x 3)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(/ 8 (pow x 3)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(/ 8 (pow x 3)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(/ 8 (pow x 3)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(/ 8 (pow x 3)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(/ 8 (pow x 3)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(/ 8 (pow x 3)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
Compiled 139 146 to 5 316 computations (96.2% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 922 | 6 | 1 928 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 927 | 11 | 1 938 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x) | |
| ▶ | 53.4% | (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
| 46.6% | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 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)) |
| ✓ | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) |
| ▶ | 99.5% | (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
| ✓ | 98.7% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | 4.9% | (/.f64 #s(literal -2 binary64) x) |
| ▶ | 94.3% | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 98.9% | (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
Compiled 340 to 169 computations (50.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
| ✓ | cost-diff | 512 | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x 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)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
| 7 394× | accelerator-lowering-fma.f32 |
| 7 394× | accelerator-lowering-fma.f64 |
| 4 730× | *-lowering-*.f32 |
| 4 730× | *-lowering-*.f64 |
| 4 132× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 345 |
| 1 | 131 | 299 |
| 2 | 443 | 287 |
| 3 | 2139 | 285 |
| 4 | 5257 | 285 |
| 0 | 8716 | 280 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (* x (+ -1 (* x x)))) |
2 |
(* x (+ -1 (* x x))) |
x |
(+ -1 (* x x)) |
-1 |
(* x x) |
(/ (/ 2 x) (* x x)) |
(/ 2 x) |
2 |
x |
(* x x) |
(* (/ 2 x) (/ 1 (* x x))) |
(/ 2 x) |
2 |
x |
(/ 1 (* x x)) |
1 |
(* x x) |
(* (/ (/ 2 (* x (+ x 1))) (+ (* x x) -1)) (+ x 1)) |
(/ (/ 2 (* x (+ x 1))) (+ (* x x) -1)) |
(/ 2 (* x (+ x 1))) |
2 |
(* x (+ x 1)) |
x |
(+ x 1) |
1 |
(+ (* x x) -1) |
(* x x) |
-1 |
(/ (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (/ -4 (* x (* x (* x x)))))) (* x x)) |
(/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (/ -4 (* x (* x (* x x)))))) |
(- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) |
(/ 8 (* x (* x x))) |
8 |
(* x (* x x)) |
x |
(* x x) |
(/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x))))) |
(* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) |
(+ -2 (/ -2 (* x x))) |
-2 |
(/ -2 (* x x)) |
(* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x)))) |
(* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))) |
(* (* x x) (* (* x x) (* x x))) |
(* (* x x) (* x x)) |
(+ (* (/ -2 x) (/ -2 x)) (/ -4 (* x (* x (* x x))))) |
(* (/ -2 x) (/ -2 x)) |
(/ -2 x) |
(/ -4 (* x (* x (* x x)))) |
-4 |
(* x (* x (* x x))) |
| Outputs |
|---|
(/ 2 (* x (+ -1 (* x x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
2 |
#s(literal 2 binary64) |
(* x (+ -1 (* x x))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
x |
(+ -1 (* x x)) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(* x x) |
(*.f64 x x) |
(/ (/ 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) (/ 1 (* 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 |
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(* x x) |
(*.f64 x x) |
(* (/ (/ 2 (* x (+ x 1))) (+ (* x x) -1)) (+ x 1)) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(/ (/ 2 (* x (+ x 1))) (+ (* x x) -1)) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))) |
(/ 2 (* x (+ x 1))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) |
2 |
#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 x) -1) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
-1 |
#s(literal -1 binary64) |
(/ (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (/ -4 (* x (* x (* x x)))))) (* x x)) |
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 (*.f64 (+.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 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (/ -4 (* x (* x (* x x)))))) |
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 (*.f64 (+.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 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) |
(+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 (*.f64 (+.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 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) |
(/ 8 (* x (* x x))) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
8 |
#s(literal 8 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x))))) |
(/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) |
(* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) |
(*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.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)) |
(* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x)))) |
(*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) |
(* (* x x) (* (* x x) (* x x))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(+ (* (/ -2 x) (/ -2 x)) (/ -4 (* x (* x (* x x))))) |
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (/ -2 x) (/ -2 x)) |
(/.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ -4 (* x (* x (* x x)))) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
-4 |
#s(literal -4 binary64) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal -2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 36.7% | (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 94.4% | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| ✓ | 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 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 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)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
| 69.0ms | 256× | 0 | valid |
Compiled 499 to 41 computations (91.8% saved)
ival-mult: 24.0ms (47.8% of total)ival-div: 19.0ms (37.8% of total)ival-add: 6.0ms (11.9% of total)ival-sub: 1.0ms (2% of total)exact: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 2 (* x (+ -1 (* x x))))> |
#<alt (* x (+ -1 (* x x)))> |
#<alt (+ -1 (* x x))> |
#<alt (* x x)> |
#<alt (/ (/ 2 x) (* x x))> |
#<alt (/ 2 x)> |
#<alt (* (/ 2 x) (/ 1 (* x x)))> |
#<alt (/ 1 (* x x))> |
#<alt (* (/ (/ 2 (* x (+ x 1))) (+ (* x x) -1)) (+ x 1))> |
#<alt (/ (/ 2 (* x (+ x 1))) (+ (* x x) -1))> |
#<alt (/ 2 (* x (+ x 1)))> |
#<alt (* x (+ x 1))> |
#<alt (* (/ -2 x) (/ -2 x))> |
#<alt (/ (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (/ -4 (* x (* x (* x x)))))) (* x x))> |
#<alt (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (/ -4 (* x (* x (* x x))))))> |
#<alt (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x))))))> |
#<alt (/ -2 (* x x))> |
#<alt (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))> |
#<alt (/ -4 (* x (* x (* x x))))> |
| 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 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 -1> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 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 (/ 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 (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ -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 x)> |
#<alt (/ (- (* 2 x) 2) x)> |
#<alt (/ (- (* x (+ 2 (* -4 x))) 2) x)> |
#<alt (/ (- (* x (+ 2 (* x (- (* 4 x) 4)))) 2) x)> |
#<alt (/ 2 (pow x 4))> |
#<alt (/ (- 2 (* 2 (/ 1 x))) (pow x 4))> |
#<alt (/ (- (+ 2 (/ 4 (pow x 2))) (* 2 (/ 1 x))) (pow x 4))> |
#<alt (/ (- (+ 2 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) (pow x 4))> |
#<alt (/ 2 (pow x 4))> |
#<alt (/ (- 2 (* 2 (/ 1 x))) (pow x 4))> |
#<alt (/ (+ 2 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))) (pow x 4))> |
#<alt (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 4 (/ 1 x))) x))) x))) (pow x 4))> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* -2 x)) x)> |
#<alt (/ (+ 2 (* x (- (* 2 x) 2))) x)> |
#<alt (/ (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) x)> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ (- 2 (* 2 (/ 1 x))) (pow x 2))> |
#<alt (/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) (pow x 2))> |
#<alt (/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) (pow x 2))> |
#<alt (/ 2 (pow x 2))> |
#<alt (/ (- 2 (* 2 (/ 1 x))) (pow x 2))> |
#<alt (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) (pow x 2))> |
#<alt (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) (pow x 2))> |
#<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)))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ 4 (pow x 2))> |
#<alt (/ -2 (pow x 13))> |
#<alt (/ (- (* -8 (pow x 2)) 2) (pow x 13))> |
#<alt (/ (- (* (pow x 2) (- (* -14 (pow x 2)) 8)) 2) (pow x 13))> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -16 (pow x 2)) 14)) 8)) 2) (pow x 13))> |
#<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))) (+ (* 4 (/ 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 (* 4 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))> |
#<alt (/ -2 (pow x 11))> |
#<alt (/ (- (* -8 (pow x 2)) 2) (pow x 11))> |
#<alt (/ (- (* (pow x 2) (- (* -14 (pow x 2)) 8)) 2) (pow x 11))> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -16 (pow x 2)) 14)) 8)) 2) (pow x 11))> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x)> |
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 4 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x)> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x))> |
#<alt (/ 8 (pow x 15))> |
#<alt (/ (+ 8 (* 24 (pow x 2))) (pow x 15))> |
#<alt (/ (+ 8 (* (pow x 2) (+ 24 (* 24 (pow x 2))))) (pow x 15))> |
#<alt (/ (+ 8 (* (pow x 2) (+ 24 (* (pow x 2) (+ 24 (* 8 (pow x 2))))))) (pow x 15))> |
#<alt (/ 8 (pow x 3))> |
#<alt (/ (+ 8 (* 8 (/ 1 (pow x 6)))) (pow x 3))> |
#<alt (/ (+ 8 (+ (* 8 (/ 1 (pow x 6))) (/ 24 (pow x 8)))) (pow x 3))> |
#<alt (/ (+ 8 (+ (* 8 (/ 1 (pow x 6))) (+ (* 24 (/ 1 (pow x 10))) (/ 24 (pow x 8))))) (pow x 3))> |
#<alt (/ 8 (pow x 3))> |
#<alt (/ (+ 8 (* 8 (/ 1 (pow x 6)))) (pow x 3))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 8 (* 24 (/ 1 (pow x 2)))) (pow x 6))) 8) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 24 (* 24 (/ 1 (pow x 2)))) (pow x 8))) (+ 8 (* 8 (/ 1 (pow x 6))))) (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 (/ -8 (pow x 15))> |
#<alt (/ (- (* -24 (pow x 2)) 8) (pow x 15))> |
#<alt (/ (- (* (pow x 2) (- (* -24 (pow x 2)) 24)) 8) (pow x 15))> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -8 (pow x 2)) 24)) 24)) 8) (pow x 15))> |
#<alt (/ -8 (pow x 9))> |
#<alt (* -1 (/ (+ 8 (* 24 (/ 1 (pow x 2)))) (pow x 9)))> |
#<alt (/ (- (* -1 (/ (+ 24 (* 24 (/ 1 (pow x 2)))) (pow x 2))) 8) (pow x 9))> |
#<alt (/ (- (* -1 (/ (+ 24 (* 8 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 24 (/ 1 (pow x 2))))) (pow x 9))> |
#<alt (/ -8 (pow x 9))> |
#<alt (* -1 (/ (+ 8 (* 24 (/ 1 (pow x 2)))) (pow x 9)))> |
#<alt (* -1 (/ (+ 8 (+ (* 24 (/ 1 (pow x 2))) (/ 24 (pow x 4)))) (pow x 9)))> |
#<alt (* -1 (/ (+ 8 (+ (* 24 (/ 1 (pow x 2))) (+ (* 8 (/ 1 (pow x 6))) (/ 24 (pow x 4))))) (pow x 9)))> |
#<alt (/ -4 (pow x 4))> |
#<alt (/ -4 (pow x 4))> |
#<alt (/ -4 (pow x 4))> |
#<alt (/ -4 (pow x 4))> |
#<alt (/ -4 (pow x 4))> |
#<alt (/ -4 (pow x 4))> |
#<alt (/ -4 (pow x 4))> |
#<alt (/ -4 (pow x 4))> |
#<alt (/ -4 (pow x 4))> |
#<alt (/ -4 (pow x 4))> |
#<alt (/ -4 (pow x 4))> |
#<alt (/ -4 (pow x 4))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ -4 (* x (* x (* x x)))) |
| 0.0ms | x | @ | 0 | (/ (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (/ -4 (* x (* x (* x x)))))) (* x x)) |
| 0.0ms | x | @ | 0 | (/ 2 (* x (+ x 1))) |
| 0.0ms | x | @ | -inf | (/ (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (/ -4 (* x (* x (* x x)))))) (* x x)) |
| 0.0ms | x | @ | inf | (/ (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (/ -4 (* x (* x (* x x)))))) (* x x)) |
| 1× | batch-egg-rewrite |
| 4 220× | /-lowering-/.f32 |
| 4 220× | /-lowering-/.f64 |
| 3 936× | *-lowering-*.f32 |
| 3 936× | *-lowering-*.f64 |
| 3 932× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 227 |
| 1 | 287 | 199 |
| 2 | 3216 | 191 |
| 0 | 8216 | 180 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (* x (+ -1 (* x x)))) |
(* x (+ -1 (* x x))) |
(+ -1 (* x x)) |
(* x x) |
(/ (/ 2 x) (* x x)) |
(/ 2 x) |
(* (/ 2 x) (/ 1 (* x x))) |
(/ 1 (* x x)) |
(* (/ (/ 2 (* x (+ x 1))) (+ (* x x) -1)) (+ x 1)) |
(/ (/ 2 (* x (+ x 1))) (+ (* x x) -1)) |
(/ 2 (* x (+ x 1))) |
(* x (+ x 1)) |
(* (/ -2 x) (/ -2 x)) |
(/ (/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (/ -4 (* x (* x (* x x)))))) (* x x)) |
(/ (- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) (+ (* (/ -2 x) (/ -2 x)) (/ -4 (* x (* x (* x x)))))) |
(- (/ 8 (* x (* x x))) (/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x)))))) |
(/ -2 (* x x)) |
(/ (* (+ -2 (/ -2 (* x x))) (* (+ -2 (/ -2 (* x x))) (+ -2 (/ -2 (* x x))))) (* (* x (* x x)) (* (* x x) (* (* x x) (* x x))))) |
(/ -4 (* x (* x (* x x)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) 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 2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(pow.f64 (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(/.f64 (/.f64 (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (pow.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(pow.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.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 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.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 #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 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.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 #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 (*.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 (/.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (*.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 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 (*.f64 (*.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.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 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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.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))) x) (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 (*.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 x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.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 x) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (/.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 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.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 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.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 -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -4 binary64) x))) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x x))) x) |
(/.f64 (/.f64 (/.f64 #s(literal -4 binary64) x) x) (*.f64 x x)) |
(/.f64 (/.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 x x)) x) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -4 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 (*.f64 x x) #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -4 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -4 binary64) x)) |
(*.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
| 1× | egg-herbie |
| 10 164× | accelerator-lowering-fma.f32 |
| 10 164× | accelerator-lowering-fma.f64 |
| 4 688× | *-lowering-*.f32 |
| 4 688× | *-lowering-*.f64 |
| 2 276× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 270 | 1877 |
| 1 | 691 | 1862 |
| 2 | 1830 | 1806 |
| 3 | 5922 | 1797 |
| 0 | 8160 | 1734 |
| 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 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))) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 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) |
(/ 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)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ -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 x) |
(/ (- (* 2 x) 2) x) |
(/ (- (* x (+ 2 (* -4 x))) 2) x) |
(/ (- (* x (+ 2 (* x (- (* 4 x) 4)))) 2) x) |
(/ 2 (pow x 4)) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 4)) |
(/ (- (+ 2 (/ 4 (pow x 2))) (* 2 (/ 1 x))) (pow x 4)) |
(/ (- (+ 2 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) (pow x 4)) |
(/ 2 (pow x 4)) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 4)) |
(/ (+ 2 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))) (pow x 4)) |
(/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 4 (/ 1 x))) x))) x))) (pow x 4)) |
(/ 2 x) |
(/ (+ 2 (* -2 x)) x) |
(/ (+ 2 (* x (- (* 2 x) 2))) x) |
(/ (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) x) |
(/ 2 (pow x 2)) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
(/ 2 (pow x 2)) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 2)) |
(/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) (pow x 2)) |
(/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) (pow x 2)) |
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))) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ 4 (pow x 2)) |
(/ -2 (pow x 13)) |
(/ (- (* -8 (pow x 2)) 2) (pow x 13)) |
(/ (- (* (pow x 2) (- (* -14 (pow x 2)) 8)) 2) (pow x 13)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -16 (pow x 2)) 14)) 8)) 2) (pow x 13)) |
(/ 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))) (+ (* 4 (/ 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 (* 4 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/ -2 (pow x 11)) |
(/ (- (* -8 (pow x 2)) 2) (pow x 11)) |
(/ (- (* (pow x 2) (- (* -14 (pow x 2)) 8)) 2) (pow x 11)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -16 (pow x 2)) 14)) 8)) 2) (pow x 11)) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 4 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x) |
(/ 2 x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)) |
(/ 8 (pow x 15)) |
(/ (+ 8 (* 24 (pow x 2))) (pow x 15)) |
(/ (+ 8 (* (pow x 2) (+ 24 (* 24 (pow x 2))))) (pow x 15)) |
(/ (+ 8 (* (pow x 2) (+ 24 (* (pow x 2) (+ 24 (* 8 (pow x 2))))))) (pow x 15)) |
(/ 8 (pow x 3)) |
(/ (+ 8 (* 8 (/ 1 (pow x 6)))) (pow x 3)) |
(/ (+ 8 (+ (* 8 (/ 1 (pow x 6))) (/ 24 (pow x 8)))) (pow x 3)) |
(/ (+ 8 (+ (* 8 (/ 1 (pow x 6))) (+ (* 24 (/ 1 (pow x 10))) (/ 24 (pow x 8))))) (pow x 3)) |
(/ 8 (pow x 3)) |
(/ (+ 8 (* 8 (/ 1 (pow x 6)))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 8 (* 24 (/ 1 (pow x 2)))) (pow x 6))) 8) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 24 (* 24 (/ 1 (pow x 2)))) (pow x 8))) (+ 8 (* 8 (/ 1 (pow x 6))))) (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)) |
(/ -8 (pow x 15)) |
(/ (- (* -24 (pow x 2)) 8) (pow x 15)) |
(/ (- (* (pow x 2) (- (* -24 (pow x 2)) 24)) 8) (pow x 15)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -8 (pow x 2)) 24)) 24)) 8) (pow x 15)) |
(/ -8 (pow x 9)) |
(* -1 (/ (+ 8 (* 24 (/ 1 (pow x 2)))) (pow x 9))) |
(/ (- (* -1 (/ (+ 24 (* 24 (/ 1 (pow x 2)))) (pow x 2))) 8) (pow x 9)) |
(/ (- (* -1 (/ (+ 24 (* 8 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 24 (/ 1 (pow x 2))))) (pow x 9)) |
(/ -8 (pow x 9)) |
(* -1 (/ (+ 8 (* 24 (/ 1 (pow x 2)))) (pow x 9))) |
(* -1 (/ (+ 8 (+ (* 24 (/ 1 (pow x 2))) (/ 24 (pow x 4)))) (pow x 9))) |
(* -1 (/ (+ 8 (+ (* 24 (/ 1 (pow x 2))) (+ (* 8 (/ 1 (pow x 6))) (/ 24 (pow x 4))))) (pow x 9))) |
(/ -4 (pow x 4)) |
(/ -4 (pow x 4)) |
(/ -4 (pow x 4)) |
(/ -4 (pow x 4)) |
(/ -4 (pow x 4)) |
(/ -4 (pow x 4)) |
(/ -4 (pow x 4)) |
(/ -4 (pow x 4)) |
(/ -4 (pow x 4)) |
(/ -4 (pow x 4)) |
(/ -4 (pow x 4)) |
(/ -4 (pow x 4)) |
| Outputs |
|---|
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(*.f64 #s(literal -2 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(+.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (/.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 #s(literal -2 binary64) (*.f64 x x)))))) (/.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 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.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 #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 (+.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)) #s(literal 2 binary64)) (*.f64 x (*.f64 x x))) |
(* -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))) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 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) |
(/ 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))) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(*.f64 #s(literal -2 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x))) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(+.f64 (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (/.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 #s(literal -2 binary64) (*.f64 x x)))))) (/.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 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.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 #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 (+.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)) #s(literal 2 binary64)) (*.f64 x (*.f64 x x))) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* 2 x) 2) x) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* x (+ 2 (* -4 x))) 2) x) |
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4 binary64))) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* x (+ 2 (* x (- (* 4 x) 4)))) 2) x) |
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 4)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ 2 (/ 4 (pow x 2))) (* 2 (/ 1 x))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ 2 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) (pow x 4)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 2 (pow x 4)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 2 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 4 (/ 1 x))) x))) x))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) x)) x)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* -2 x)) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) x) |
(/ (+ 2 (* x (- (* 2 x) 2))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))) x) |
(/ (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))))) x) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x)) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x x)) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))) (*.f64 x x)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x)) |
(/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x x)) |
(/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) (pow x 2)) |
(/.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)) (*.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))) |
(/ 4 (pow x 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/ 4 (pow x 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/ 4 (pow x 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/ 4 (pow x 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/ 4 (pow x 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/ 4 (pow x 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/ 4 (pow x 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/ 4 (pow x 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/ 4 (pow x 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/ 4 (pow x 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/ 4 (pow x 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/ 4 (pow x 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/ -2 (pow x 13)) |
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 13 binary64))) |
(/ (- (* -8 (pow x 2)) 2) (pow x 13)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -8 binary64))) (pow.f64 x #s(literal 13 binary64))) |
(/ (- (* (pow x 2) (- (* -14 (pow x 2)) 8)) 2) (pow x 13)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) #s(literal -14 binary64)))))) (pow.f64 x #s(literal 13 binary64))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -16 (pow x 2)) 14)) 8)) 2) (pow x 13)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -14 binary64) (*.f64 (*.f64 x x) #s(literal -16 binary64))))))) (pow.f64 x #s(literal 13 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))) (+ (* 4 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 4 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 #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 (* 4 (/ 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 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) |
(/ -2 (pow x 11)) |
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 11 binary64))) |
(/ (- (* -8 (pow x 2)) 2) (pow x 11)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -8 binary64))) (pow.f64 x #s(literal 11 binary64))) |
(/ (- (* (pow x 2) (- (* -14 (pow x 2)) 8)) 2) (pow x 11)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) #s(literal -14 binary64)))))) (pow.f64 x #s(literal 11 binary64))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -16 (pow x 2)) 14)) 8)) 2) (pow x 11)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -14 binary64) (*.f64 (*.f64 x x) #s(literal -16 binary64))))))) (pow.f64 x #s(literal 11 binary64))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x) |
(/.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)))))) x) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 4 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
(/ 8 (pow x 15)) |
(/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 15 binary64))) |
(/ (+ 8 (* 24 (pow x 2))) (pow x 15)) |
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x #s(literal 24 binary64)))) (pow.f64 x #s(literal 15 binary64))) |
(/ (+ 8 (* (pow x 2) (+ 24 (* 24 (pow x 2))))) (pow x 15)) |
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x) (*.f64 x #s(literal 24 binary64)))) (pow.f64 x #s(literal 15 binary64))) |
(/ (+ 8 (* (pow x 2) (+ 24 (* (pow x 2) (+ 24 (* 8 (pow x 2))))))) (pow x 15)) |
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 24 binary64) (*.f64 (*.f64 x x) #s(literal 8 binary64))))))) (pow.f64 x #s(literal 15 binary64))) |
(/ 8 (pow x 3)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 8 (* 8 (/ 1 (pow x 6)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x (*.f64 x x))) |
(/ (+ 8 (+ (* 8 (/ 1 (pow x 6))) (/ 24 (pow x 8)))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 24 binary64) (pow.f64 x #s(literal 8 binary64))))) (*.f64 x (*.f64 x x))) |
(/ (+ 8 (+ (* 8 (/ 1 (pow x 6))) (+ (* 24 (/ 1 (pow x 10))) (/ 24 (pow x 8))))) (pow x 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 24 binary64) (pow.f64 x #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 24 binary64) (pow.f64 x #s(literal 10 binary64))) #s(literal 8 binary64)))) (*.f64 x (*.f64 x x))) |
(/ 8 (pow x 3)) |
(/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 8 (* 8 (/ 1 (pow x 6)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 8 (* 24 (/ 1 (pow x 2)))) (pow x 6))) 8) (pow x 3))) |
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 24 (* 24 (/ 1 (pow x 2)))) (pow x 8))) (+ 8 (* 8 (/ 1 (pow x 6))))) (pow x 3))) |
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 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)) |
(/ -8 (pow x 15)) |
(/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 15 binary64))) |
(/ (- (* -24 (pow x 2)) 8) (pow x 15)) |
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x #s(literal -24 binary64)))) (pow.f64 x #s(literal 15 binary64))) |
(/ (- (* (pow x 2) (- (* -24 (pow x 2)) 24)) 8) (pow x 15)) |
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x #s(literal -24 binary64)))))) (pow.f64 x #s(literal 15 binary64))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -8 (pow x 2)) 24)) 24)) 8) (pow x 15)) |
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -24 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal -24 binary64)))))) (pow.f64 x #s(literal 15 binary64))) |
(/ -8 (pow x 9)) |
(/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (/ (+ 8 (* 24 (/ 1 (pow x 2)))) (pow x 9))) |
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(/ (- (* -1 (/ (+ 24 (* 24 (/ 1 (pow x 2)))) (pow x 2))) 8) (pow x 9)) |
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -24 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(/ (- (* -1 (/ (+ 24 (* 8 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 24 (/ 1 (pow x 2))))) (pow x 9)) |
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -24 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 9 binary64))) |
(/ -8 (pow x 9)) |
(/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (/ (+ 8 (* 24 (/ 1 (pow x 2)))) (pow x 9))) |
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (/ (+ 8 (+ (* 24 (/ 1 (pow x 2))) (/ 24 (pow x 4)))) (pow x 9))) |
(/.f64 (+.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -24 binary64) (*.f64 x x))) (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (/ (+ 8 (+ (* 24 (/ 1 (pow x 2))) (+ (* 8 (/ 1 (pow x 6))) (/ 24 (pow x 4))))) (pow x 9))) |
(/.f64 (+.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal -24 binary64) (*.f64 x x)) (/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 9 binary64))) |
(/ -4 (pow x 4)) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -4 (pow x 4)) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -4 (pow x 4)) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -4 (pow x 4)) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -4 (pow x 4)) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -4 (pow x 4)) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -4 (pow x 4)) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -4 (pow x 4)) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -4 (pow x 4)) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -4 (pow x 4)) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -4 (pow x 4)) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -4 (pow x 4)) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
Compiled 76 183 to 4 178 computations (94.5% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 460 | 4 | 1 464 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 463 | 12 | 1 475 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) | |
| 46.6% | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) x) | |
| 99.8% | (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 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)) |
| ✓ | 99.6% | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) |
| ✓ | 99.5% | (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
| ✓ | 98.7% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | 4.9% | (/.f64 #s(literal -2 binary64) x) |
| 91.5% | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 x #s(literal 1 binary64))) | |
| 98.9% | (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) | |
| ✓ | 98.9% | (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
Compiled 644 to 189 computations (70.7% 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 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x 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 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))) x) x) x) |
(*.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 (/.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 (/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) x) (*.f64 x x)) |
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) x) (*.f64 x (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) x) x)) (*.f64 x (*.f64 x x))) |
(/.f64 (+.f64 (*.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (+.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 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) 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 #s(literal 2 binary64) x) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))))) (*.f64 x x)) |
(/.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 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
2 calls:
| 7.0ms | x |
| 6.0ms | (+.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 |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 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 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 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) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 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) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
1 calls:
| 2.0ms | 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 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 46 |
| 1 | 28 | 46 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 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 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 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) |
| 20 906× | accelerator-lowering-fma.f32 |
| 20 906× | accelerator-lowering-fma.f64 |
| 12 804× | accelerator-lowering-fma.f32 |
| 12 804× | accelerator-lowering-fma.f64 |
| 8 678× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 227 |
| 1 | 287 | 199 |
| 2 | 3216 | 191 |
| 0 | 8216 | 180 |
| 0 | 158 | 1887 |
| 1 | 355 | 1872 |
| 2 | 897 | 1843 |
| 3 | 3449 | 1825 |
| 4 | 7121 | 1825 |
| 0 | 8284 | 1777 |
| 0 | 102 | 449 |
| 1 | 268 | 428 |
| 2 | 699 | 407 |
| 3 | 2208 | 394 |
| 4 | 6905 | 394 |
| 0 | 8101 | 388 |
| 0 | 155 | 1725 |
| 1 | 404 | 1700 |
| 2 | 1116 | 1632 |
| 3 | 3701 | 1610 |
| 0 | 8187 | 1547 |
| 0 | 10 | 35 |
| 1 | 87 | 35 |
| 2 | 1088 | 35 |
| 0 | 8494 | 32 |
| 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 |
Compiled 132 to 83 computations (37.1% saved)
Compiled 170 to 92 computations (45.9% saved)
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