
Time bar (total: 5.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 361.0ms | 3 752× | 1 | valid |
| 201.0ms | 4 504× | 0 | valid |
ival-div: 178.0ms (46% of total)ival-add: 74.0ms (19.1% of total)adjust: 66.0ms (17% of total)ival-sub: 55.0ms (14.2% of total)ival-true: 6.0ms (1.5% of total)exact: 5.0ms (1.3% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 53 | 1 | (1.6736548974486732e+161) | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (/.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) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) | cancellation | 54 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 53 | 0 |
| - | 1 | 202 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 53 | 0 | 0 |
| - | 1 | 0 | 202 |
| number | freq |
|---|---|
| 0 | 202 |
| 1 | 54 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 23.0ms | 230× | 1 | valid |
| 14.0ms | 282× | 0 | valid |
Compiled 57 to 22 computations (61.4% saved)
ival-div: 11.0ms (48.5% of total)adjust: 4.0ms (17.6% of total)ival-add: 4.0ms (17.6% of total)ival-sub: 3.0ms (13.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 20 | 19 |
| 2 | 53 | 18 |
| 3 | 108 | 18 |
| 4 | 169 | 18 |
| 5 | 212 | 18 |
| 6 | 226 | 18 |
| 0 | 6 | 9 |
| 0 | 10 | 9 |
| 1 | 15 | 9 |
| 2 | 23 | 9 |
| 3 | 32 | 9 |
| 4 | 44 | 9 |
| 5 | 64 | 9 |
| 6 | 105 | 9 |
| 7 | 147 | 9 |
| 8 | 213 | 9 |
| 9 | 247 | 9 |
| 10 | 256 | 9 |
| 0 | 256 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) |
Compiled 9 to 6 computations (33.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.5% | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| 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 1 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 22 |
| 0 | 10 | 22 |
| 1 | 15 | 22 |
| 2 | 23 | 22 |
| 3 | 32 | 22 |
| 4 | 44 | 22 |
| 5 | 64 | 22 |
| 6 | 105 | 22 |
| 7 | 147 | 22 |
| 8 | 213 | 22 |
| 9 | 247 | 22 |
| 10 | 256 | 22 |
| 0 | 256 | 22 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
x |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
(/.f64 #s(literal 1 binary64) x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 11.836717135325072 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 15.0ms | 115× | 1 | valid |
| 7.0ms | 141× | 0 | valid |
Compiled 24 to 8 computations (66.7% saved)
ival-div: 7.0ms (55% of total)adjust: 2.0ms (15.7% of total)ival-add: 2.0ms (15.7% of total)ival-sub: 2.0ms (15.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- x 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ 1 x) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x)) |
| 1.0ms | x | @ | 0 | ((- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x)) |
| 0.0ms | x | @ | inf | ((- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 305 |
| 1 | 150 | 286 |
| 2 | 351 | 274 |
| 3 | 1021 | 268 |
| 4 | 3180 | 263 |
| 5 | 5260 | 262 |
| 6 | 6620 | 262 |
| 7 | 7436 | 262 |
| 8 | 7938 | 262 |
| 0 | 8035 | 260 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ 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) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/ 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)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
| Outputs |
|---|
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal -1 binary64)) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal -1 binary64)) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 20 |
| 0 | 10 | 20 |
| 1 | 59 | 20 |
| 2 | 551 | 20 |
| 3 | 6022 | 20 |
| 0 | 9428 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
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Compiled 7 236 to 949 computations (86.9% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 362 | 9 | 371 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 363 | 9 | 372 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) |
| ▶ | 99.9% | (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
| 51.6% | (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) | |
| 50.1% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) | |
| 51.5% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) | |
| 44.0% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) | |
| ▶ | 52.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
| ▶ | 51.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) |
| ▶ | 51.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) |
Compiled 144 to 112 computations (22.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 0 | (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) | |
| cost-diff | 192 | (-.f64 x x) | |
| cost-diff | 192 | (-.f64 (-.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal -1 binary64) x) x) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 128 | (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 192 | (-.f64 x x) | |
| cost-diff | 192 | (-.f64 (-.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 512 | (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 163 |
| 0 | 41 | 134 |
| 1 | 84 | 134 |
| 2 | 156 | 132 |
| 3 | 334 | 132 |
| 4 | 782 | 132 |
| 5 | 1413 | 132 |
| 6 | 1879 | 132 |
| 7 | 2219 | 132 |
| 8 | 2529 | 132 |
| 9 | 3602 | 132 |
| 10 | 5225 | 132 |
| 11 | 5609 | 132 |
| 12 | 5761 | 132 |
| 13 | 5798 | 132 |
| 14 | 5816 | 132 |
| 15 | 5816 | 132 |
| 16 | 6264 | 132 |
| 17 | 7247 | 132 |
| 18 | 7981 | 132 |
| 0 | 8046 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 (-.f64 x x) #s(literal 1 binary64)) |
(-.f64 x x) |
x |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) |
(-.f64 (-.f64 x x) #s(literal 1 binary64)) |
(-.f64 x x) |
x |
#s(literal 1 binary64) |
(fma.f64 x x x) |
| Outputs |
|---|
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 (-.f64 x x) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
(-.f64 x x) |
#s(literal 0 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(-.f64 (-.f64 x x) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
(-.f64 x x) |
#s(literal 0 binary64) |
x |
#s(literal 1 binary64) |
(fma.f64 x x x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 x x x) | |
| accuracy | 0 | (-.f64 (-.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 x x) | |
| accuracy | 0.10342083371471249 | (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal -1 binary64) x) x) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 31.116990979412485 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 30.97647371879704 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 30.45055288158332 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) x) | |
| accuracy | 0 | (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.07421875 | (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
| 34.0ms | 115× | 1 | valid |
| 28.0ms | 141× | 0 | valid |
Compiled 145 to 25 computations (82.8% saved)
ival-div: 14.0ms (35.6% of total)ival-sub: 9.0ms (22.9% of total)adjust: 7.0ms (17.8% of total)ival-add: 4.0ms (10.2% of total)ival-mult: 4.0ms (10.2% of total)ival-neg: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) (patch (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x x) (patch (-.f64 x x) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) (patch (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (-.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) (patch (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) (patch (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) (patch (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) (patch (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (-.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (-.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (-.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (-.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 x) (#s(alt (-.f64 x x) (patch (-.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 x) (#s(alt (-.f64 x x) (patch (-.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 x) (#s(alt (-.f64 x x) (patch (-.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 x) (#s(alt (-.f64 x x) (patch (-.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* -1 x))) 1) (taylor 0 x) (#s(alt (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* x (- x 1)))) 1) (taylor 0 x) (#s(alt (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (patch (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) (patch (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) (patch (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) (patch (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) (patch (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (-.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (pow x 2)) 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (-.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (pow x 2)) 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (-.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (pow x 2)) 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (-.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) (patch (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt -1 (taylor -inf x) (#s(alt (-.f64 (-.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt 0 (taylor -inf x) (#s(alt (-.f64 x x) (patch (-.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor -inf x) (#s(alt (-.f64 x x) (patch (-.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor -inf x) (#s(alt (-.f64 x x) (patch (-.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor -inf x) (#s(alt (-.f64 x x) (patch (-.f64 x x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) #<representation binary64>) () ())) ()) |
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#s(alt (- 1 (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((/ (neg (/ (- (- x x) 1) (- -1 x))) x) (- (- x x) 1) (- x x) (neg (/ (- (- x x) 1) (- -1 x))) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ (- x 1) x) x) (/ (- x 1) x) (- x 1) (- (/ 1 (+ x 1)) (/ 1 x)) (* (- (/ -1 x) x) (- 1 x)) (- (/ -1 x) x) (/ (- (- x x) 1) (+ (* x x) x)) (+ (* x x) x) (/ (- (- x x) 1) (- -1 x)) (- -1 x) (- 1 x)) |
| 1.0ms | x | @ | -inf | ((/ (neg (/ (- (- x x) 1) (- -1 x))) x) (- (- x x) 1) (- x x) (neg (/ (- (- x x) 1) (- -1 x))) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ (- x 1) x) x) (/ (- x 1) x) (- x 1) (- (/ 1 (+ x 1)) (/ 1 x)) (* (- (/ -1 x) x) (- 1 x)) (- (/ -1 x) x) (/ (- (- x x) 1) (+ (* x x) x)) (+ (* x x) x) (/ (- (- x x) 1) (- -1 x)) (- -1 x) (- 1 x)) |
| 1.0ms | x | @ | inf | ((/ (neg (/ (- (- x x) 1) (- -1 x))) x) (- (- x x) 1) (- x x) (neg (/ (- (- x x) 1) (- -1 x))) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ (- x 1) x) x) (/ (- x 1) x) (- x 1) (- (/ 1 (+ x 1)) (/ 1 x)) (* (- (/ -1 x) x) (- 1 x)) (- (/ -1 x) x) (/ (- (- x x) 1) (+ (* x x) x)) (+ (* x x) x) (/ (- (- x x) 1) (- -1 x)) (- -1 x) (- 1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 1398 |
| 1 | 253 | 1286 |
| 2 | 726 | 1204 |
| 3 | 2782 | 1180 |
| 4 | 6876 | 1180 |
| 0 | 8114 | 1155 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
-1 |
-1 |
-1 |
-1 |
0 |
0 |
0 |
0 |
-1 |
(- x 1) |
(- (* x (+ 1 (* -1 x))) 1) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- x 1) x) |
(/ (- x 1) x) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/ -1 x) |
(/ (- (* -1 (pow x 2)) 1) x) |
(/ (- (* -1 (pow x 2)) 1) x) |
(/ (- (* -1 (pow x 2)) 1) x) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
-1 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
-1 |
-1 |
-1 |
-1 |
0 |
0 |
0 |
0 |
(/ -1 x) |
(/ (- (/ 1 x) 1) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
1 |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 (pow x 2))))) |
(* -1 (* x (+ 1 (/ 1 (pow x 2))))) |
(* -1 (* x (+ 1 (/ 1 (pow x 2))))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ 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 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
-1 |
-1 |
-1 |
-1 |
0 |
0 |
0 |
0 |
(/ -1 x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
1 |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 (pow x 2))))) |
(* -1 (* x (+ 1 (/ 1 (pow x 2))))) |
(* -1 (* x (+ 1 (/ 1 (pow x 2))))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 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 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* -1 x))) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- x 1) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- x 1) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1 (pow x 2)) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (* -1 (pow x 2)) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (* -1 (pow x 2)) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x)) x) x) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ 1 x) 1) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x)) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x)) x) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(fma.f64 x x (neg.f64 x)) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ 1 (pow x 2))))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(* -1 (* x (+ 1 (/ 1 (pow x 2))))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(* -1 (* x (+ 1 (/ 1 (pow x 2))))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x)) x) x) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x)) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x)) x) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
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)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(fma.f64 x x (neg.f64 x)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ 1 (pow x 2))))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(* -1 (* x (+ 1 (/ 1 (pow x 2))))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(* -1 (* x (+ 1 (/ 1 (pow x 2))))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 140 |
| 0 | 41 | 117 |
| 1 | 226 | 106 |
| 2 | 1745 | 106 |
| 0 | 9668 | 102 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
(-.f64 (-.f64 x x) #s(literal 1 binary64)) |
(-.f64 x x) |
(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) |
(fma.f64 x x x) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
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Compiled 39 699 to 5 033 computations (87.3% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 175 | 15 | 2 190 |
| Fresh | 4 | 0 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 182 | 17 | 2 199 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
| 45.4% | (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (*.f64 x x)))) | |
| 99.8% | (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) | |
| ▶ | 50.1% | (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) |
| ▶ | 51.5% | (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) |
| 97.2% | (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) | |
| 24.0% | (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| ▶ | 95.5% | (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
| 95.5% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) x)) | |
| 44.7% | (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) | |
| 44.0% | #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) | |
| 50.1% | #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| ✓ | 52.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
| 2.8% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) | |
| ✓ | 51.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 3.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
| 2.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
Compiled 298 to 216 computations (27.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal -1 binary64)) | |
| cost-diff | 192 | (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| cost-diff | 6784 | (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- (/ (- x 1) x) x) (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 512 | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 154 |
| 0 | 46 | 129 |
| 1 | 87 | 129 |
| 2 | 174 | 129 |
| 3 | 383 | 129 |
| 4 | 1206 | 128 |
| 5 | 3935 | 128 |
| 6 | 6253 | 128 |
| 7 | 7622 | 128 |
| 0 | 8068 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
#s(approx (- (/ (- x 1) x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) |
#s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) |
#s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
#s(approx (- (/ (- x 1) x) x) (neg.f64 x)) |
(neg.f64 x) |
x |
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) |
#s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) |
#s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 x (pow.f64 x #s(literal 3 binary64)))) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (pow.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.04296875 | (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 2.8810865400920727 | (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.07421875 | (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) | |
| accuracy | 32.00618569110937 | #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.07421875 | (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) | |
| accuracy | 31.419691953580816 | #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 30.97647371879704 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) | |
| accuracy | 31.83319955714108 | #s(approx (- (/ (- x 1) x) x) (neg.f64 x)) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.01953125 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.07421875 | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
| 72.0ms | 115× | 1 | valid |
| 47.0ms | 141× | 0 | valid |
Compiled 129 to 28 computations (78.3% saved)
ival-div: 35.0ms (42.5% of total)ival-mult: 21.0ms (25.5% of total)ival-sub: 9.0ms (10.9% of total)adjust: 7.0ms (8.5% of total)ival-add: 4.0ms (4.9% of total)ival-pow: 4.0ms (4.9% of total)ival-neg: 2.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ (- x 1) x) x) (neg.f64 x)) (patch #s(approx (- (/ (- x 1) x) x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) (patch (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) (patch #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) (patch (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) (patch #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) (patch (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) (patch (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) (patch #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- 1 (/ 1 x)) x)) (taylor -inf x) (#s(alt #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) (patch #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) (taylor -inf x) (#s(alt #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) (patch #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) (taylor -inf x) (#s(alt #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) (patch #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (/ 1 (pow x 2))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((/ (/ 1 (- -1 x)) x) (/ 1 (- -1 x)) (- -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ (- x 1) x) x) (neg x) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg (/ (- (- x x) 1) (- -1 x))) (- x 1) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg (/ (- (- x x) 1) (- -1 x))) (/ -1 x) (* (/ (pow x -1) (+ (* x x) -1)) (- 1 x)) (/ (pow x -1) (+ (* x x) -1)) (pow x -1) (+ (* x x) -1) (- 1 x)) |
| 1.0ms | x | @ | inf | ((/ (/ 1 (- -1 x)) x) (/ 1 (- -1 x)) (- -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ (- x 1) x) x) (neg x) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg (/ (- (- x x) 1) (- -1 x))) (- x 1) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg (/ (- (- x x) 1) (- -1 x))) (/ -1 x) (* (/ (pow x -1) (+ (* x x) -1)) (- 1 x)) (/ (pow x -1) (+ (* x x) -1)) (pow x -1) (+ (* x x) -1) (- 1 x)) |
| 1.0ms | x | @ | -inf | ((/ (/ 1 (- -1 x)) x) (/ 1 (- -1 x)) (- -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ (- x 1) x) x) (neg x) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg (/ (- (- x x) 1) (- -1 x))) (- x 1) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg (/ (- (- x x) 1) (- -1 x))) (/ -1 x) (* (/ (pow x -1) (+ (* x x) -1)) (- 1 x)) (/ (pow x -1) (+ (* x x) -1)) (pow x -1) (+ (* x x) -1) (- 1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 1475 |
| 1 | 260 | 1385 |
| 2 | 760 | 1335 |
| 3 | 2370 | 1268 |
| 4 | 6792 | 1247 |
| 0 | 8074 | 1227 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
-1 |
(- x 1) |
(- (* x (+ 1 (* -1 x))) 1) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
-1 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
-1 |
(- x 1) |
(- (* x (+ 1 (* -1 x))) 1) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
-1 |
(- x 1) |
(- (* x (+ 1 (* -1 x))) 1) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/ -1 x) |
(/ (- (* -1 (pow x 2)) 1) x) |
(/ (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1) x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 x) |
(/ (- (/ 1 x) 1) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 x) |
(/ (- (/ 1 x) 1) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 x) |
(/ (- (/ 1 x) 1) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ 1 (pow x 3)) |
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3)) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 3)) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 3)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(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)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/ -1 x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/ -1 x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/ -1 x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/ 1 (pow x 3)) |
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 3))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(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)))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* -1 x))) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* -1 x))) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.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)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* -1 x))) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1 (pow x 2)) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1) x) |
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1) x) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ 1 x) 1) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ 1 x) 1) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) x) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ 1 x) 1) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) x) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) x) |
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)) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) x) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 3))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 143 |
| 0 | 46 | 123 |
| 1 | 236 | 119 |
| 0 | 1865 | 117 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
#s(approx (- (/ (- x 1) x) x) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) |
#s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) |
#s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
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Compiled 6 679 to 1 047 computations (84.3% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 525 | 4 | 529 |
| Fresh | 3 | 7 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 529 | 17 | 546 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
| 45.4% | (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (*.f64 x x)))) | |
| 95.1% | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) | |
| 64.1% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) | |
| ▶ | 99.8% | (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) |
| ✓ | 50.1% | (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) |
| ✓ | 51.5% | (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) |
| 25.8% | (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) x) | |
| 97.2% | (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) | |
| ▶ | 95.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
| ▶ | 44.7% | (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) |
| ▶ | 50.1% | #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| ✓ | 52.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
| ▶ | 2.8% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) |
| ✓ | 51.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 3.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
| 2.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
Compiled 285 to 198 computations (30.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 0 | (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) | |
| cost-diff | 7168 | (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 6784 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (/ (- x 1) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 0 | #s(approx (- (- x x) 1) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 155 |
| 0 | 45 | 142 |
| 1 | 87 | 142 |
| 2 | 193 | 138 |
| 3 | 615 | 135 |
| 4 | 3281 | 126 |
| 5 | 7034 | 126 |
| 0 | 8079 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) |
#s(approx (- (- x x) 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 x x x) |
x |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) |
(-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) |
#s(approx (/ (- x 1) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(*.f64 x x) |
x |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) |
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) |
#s(literal -1 binary64) |
(pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) |
(fma.f64 x x x) |
x |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) |
#s(approx (- (- x x) 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 x x x) |
x |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) |
(-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) |
#s(approx (/ (- x 1) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(*.f64 x x) |
x |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) |
#s(literal -1 binary64) |
(pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) |
(fma.f64 x x x) |
x |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 x x x) | |
| accuracy | 0.10546875 | (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) | |
| accuracy | 0.36564975988160175 | (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) | |
| accuracy | 34.73334739305599 | (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.04296875 | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 2.8810865400920727 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.1542020837147125 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| accuracy | 31.854669667218648 | #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| accuracy | 0.0078125 | (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) | |
| accuracy | 30.97647371879704 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) | |
| accuracy | 32.19572167743713 | #s(approx (/ (- x 1) x) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 x x x) | |
| accuracy | 0 | #s(approx (- (- x x) 1) #s(literal -1 binary64)) | |
| accuracy | 0.10342083371471249 | (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) |
| 42.0ms | 114× | 1 | valid |
| 32.0ms | 142× | 0 | valid |
Compiled 144 to 26 computations (81.9% saved)
ival-div: 19.0ms (33.7% of total)ival-mult: 12.0ms (21.3% of total)ival-sub: 10.0ms (17.7% of total)adjust: 6.0ms (10.6% of total)ival-add: 5.0ms (8.9% of total)ival-pow2: 4.0ms (7.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- x x) 1) #s(literal -1 binary64)) (patch #s(approx (- (- x x) 1) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) (patch (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- x 1) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (patch #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (- (- x x) 1) #s(literal -1 binary64)) (patch #s(approx (- (- x x) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (- (- x x) 1) #s(literal -1 binary64)) (patch #s(approx (- (- x x) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (- (- x x) 1) #s(literal -1 binary64)) (patch #s(approx (- (- x x) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (- (- x x) 1) #s(literal -1 binary64)) (patch #s(approx (- (- x x) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) (patch (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) (patch (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) (patch (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) (patch (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt #s(approx (/ (- x 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- x 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt #s(approx (/ (- x 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- x 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt #s(approx (/ (- x 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- x 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt #s(approx (/ (- x 1) x) #s(literal 1 binary64)) (patch #s(approx (/ (- x 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (patch #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (patch #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (patch #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (patch #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 2 x) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 2 (* -3 x))) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x (+ 2 (* x (- (* 4 x) 3)))) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 x))) (taylor 0 x) (#s(alt (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* x (+ 2 x)))) (taylor 0 x) (#s(alt (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* x (+ 2 x)))) (taylor 0 x) (#s(alt (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (pow x 2)) 1) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
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#s(alt -1 (taylor inf x) (#s(alt #s(approx (- (- x x) 1) #s(literal -1 binary64)) (patch #s(approx (- (- x x) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf x) (#s(alt #s(approx (- (- x x) 1) #s(literal -1 binary64)) (patch #s(approx (- (- x x) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf x) (#s(alt #s(approx (- (- x x) 1) #s(literal -1 binary64)) (patch #s(approx (- (- x x) 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
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#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 2 (/ 1 x)) 1) (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (* 3 (/ 1 x)) 2) x)) 1) (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 3) x)) 2) x)) 1) (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (/ 1 (pow x 2))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ (- (- x x) 1) (+ (* x x) x)) (- (- x x) 1) (+ (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ (- x 1) x) x) (/ (- x 1) x) (/ (- (- x x) 1) (+ (* x x) x)) (/ -1 (* x x)) (* x x) (* (/ (/ 1 x) (+ (* x x) -1)) (- 1 x)) (/ 1 x) (+ (* x x) -1) (- 1 x) (* (/ -1 (pow (+ (* x x) x) 2)) (+ (* x x) x)) (/ -1 (pow (+ (* x x) x) 2)) (pow (+ (* x x) x) 2) (/ (/ 1 x) (+ (* x x) -1))) |
| 1.0ms | x | @ | -inf | ((/ (- (- x x) 1) (+ (* x x) x)) (- (- x x) 1) (+ (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ (- x 1) x) x) (/ (- x 1) x) (/ (- (- x x) 1) (+ (* x x) x)) (/ -1 (* x x)) (* x x) (* (/ (/ 1 x) (+ (* x x) -1)) (- 1 x)) (/ 1 x) (+ (* x x) -1) (- 1 x) (* (/ -1 (pow (+ (* x x) x) 2)) (+ (* x x) x)) (/ -1 (pow (+ (* x x) x) 2)) (pow (+ (* x x) x) 2) (/ (/ 1 x) (+ (* x x) -1))) |
| 1.0ms | x | @ | 0 | ((/ (- (- x x) 1) (+ (* x x) x)) (- (- x x) 1) (+ (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ (- x 1) x) x) (/ (- x 1) x) (/ (- (- x x) 1) (+ (* x x) x)) (/ -1 (* x x)) (* x x) (* (/ (/ 1 x) (+ (* x x) -1)) (- 1 x)) (/ 1 x) (+ (* x x) -1) (- 1 x) (* (/ -1 (pow (+ (* x x) x) 2)) (+ (* x x) x)) (/ -1 (pow (+ (* x x) x) 2)) (pow (+ (* x x) x) 2) (/ (/ 1 x) (+ (* x x) -1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 1481 |
| 1 | 413 | 1417 |
| 2 | 1134 | 1365 |
| 3 | 3595 | 1304 |
| 0 | 8240 | 1271 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
-1 |
-1 |
-1 |
-1 |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- x 1) x) |
(/ (- x 1) x) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/ -1 (pow x 2)) |
(/ (- (* 2 x) 1) (pow x 2)) |
(/ (- (* x (+ 2 (* -3 x))) 1) (pow x 2)) |
(/ (- (* x (+ 2 (* x (- (* 4 x) 3)))) 1) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 x))) |
(* (pow x 2) (+ 1 (* x (+ 2 x)))) |
(* (pow x 2) (+ 1 (* x (+ 2 x)))) |
(/ -1 x) |
(/ (- (* -1 (pow x 2)) 1) x) |
(/ (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1) x) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
-1 |
-1 |
-1 |
-1 |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
1 |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(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)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ -1 (pow x 4)) |
(/ (- (* 2 (/ 1 x)) 1) (pow x 4)) |
(/ (- (* 2 (/ 1 x)) (+ 1 (/ 3 (pow x 2)))) (pow x 4)) |
(/ (- (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3)))) (+ 1 (/ 3 (pow x 2)))) (pow x 4)) |
(pow x 4) |
(* (pow x 4) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(/ 1 (pow x 3)) |
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3)) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 3)) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 3)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
-1 |
-1 |
-1 |
-1 |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
1 |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ -1 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(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)))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/ -1 (pow x 4)) |
(/ (- (* 2 (/ 1 x)) 1) (pow x 4)) |
(/ (- (* -1 (/ (- (* 3 (/ 1 x)) 2) x)) 1) (pow x 4)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 3) x)) 2) x)) 1) (pow x 4)) |
(pow x 4) |
(* (pow x 4) (+ 1 (* 2 (/ 1 x)))) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(/ 1 (pow x 3)) |
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 3))) |
| Outputs |
|---|
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
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(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x) |
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(/ (- (* x (+ 1 (* -1 x))) 1) x) |
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(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x) |
(/ -1 (pow x 2)) |
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(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
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(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x) |
(/ 1 x) |
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(/ 1 x) |
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(/ 1 x) |
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#s(literal -1 binary64) |
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(/ -1 x) |
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(/ (- x 1) x) |
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(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* 2 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (* x (+ 2 (* -3 x))) 1) (pow x 2)) |
(/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (* x (+ 2 (* x (- (* 4 x) 3)))) 1) (pow x 2)) |
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(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 x))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* x (+ 2 x)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* x (+ 2 x)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) x) x) |
(/ -1 x) |
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(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1) x) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) x) |
(/ -1 (pow x 2)) |
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(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x)) (*.f64 x x)) |
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#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
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#s(literal -1 binary64) |
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#s(literal -1 binary64) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x)) (*.f64 x x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(- 1 (/ 1 x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(- 1 (/ 1 x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) 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)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x)) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x)) (*.f64 x x)) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (* 2 (/ 1 x)) 1) (pow x 4)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (* 2 (/ 1 x)) (+ 1 (/ 3 (pow x 2)))) (pow x 4)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3)))) (+ 1 (/ 3 (pow x 2)))) (pow x 4)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) x)) x)) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* 2 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) x)) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) x) x) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) x) x) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (pow.f64 x #s(literal 3 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x)) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
-1 |
#s(literal -1 binary64) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x)) (*.f64 x x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(- 1 (/ 1 x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(- 1 (/ 1 x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) 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)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x)) (*.f64 x x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x)) (*.f64 x x)) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (* 2 (/ 1 x)) 1) (pow x 4)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (* -1 (/ (- (* 3 (/ 1 x)) 2) x)) 1) (pow x 4)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 3) x)) 2) x)) 1) (pow x 4)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) x)) x)) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* 2 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) x)) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) x) x) |
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) x) x) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 1 (/ 1 (pow x 2))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 3))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 139 |
| 0 | 45 | 127 |
| 1 | 233 | 118 |
| 2 | 1833 | 111 |
| 0 | 8670 | 111 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) |
#s(approx (- (- x x) 1) #s(literal -1 binary64)) |
(fma.f64 x x x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) |
(-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) |
#s(approx (/ (- x 1) x) #s(literal 1 binary64)) |
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(fma.f64 x x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) |
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) |
(pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) |
| Outputs |
|---|
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Compiled 24 262 to 3 016 computations (87.6% saved)
14 alts after pruning (5 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 187 | 3 | 1 190 |
| Fresh | 4 | 2 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 193 | 14 | 1 207 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
| 95.1% | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) | |
| ✓ | 99.8% | (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) |
| ✓ | 50.1% | (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) |
| ✓ | 51.5% | (/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) |
| 45.2% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #s(approx (- 1 x) (neg.f64 x))) | |
| 44.7% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (fma.f64 x x x)) | |
| ✓ | 50.1% | #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| 50.2% | #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) | |
| ✓ | 52.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
| ✓ | 2.8% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) |
| ✓ | 51.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 3.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
| 2.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
Compiled 413 to 182 computations (55.9% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) |
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) |
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #s(approx (- 1 x) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (fma.f64 x x x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (*.f64 x x)))) |
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) x) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
2 calls:
| 12.0ms | x |
| 9.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) |
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) |
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (/.f64 #s(literal -1 binary64) x)) x) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
| Outputs |
|---|
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) |
2 calls:
| 5.0ms | x |
| 5.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) |
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) |
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) |
2 calls:
| 25.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
| 98.3% | 3 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) |
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) |
| Outputs |
|---|
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) |
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
| 98.3% | 3 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) |
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 98.0% | 3 | x |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.4% | 1 | x |
| 52.4% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 10 to 7 computations (30% saved)
Total -0.9b remaining (-1.4%)
Threshold costs -0.9b (-1.4%)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
2 calls:
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.4% | 1 | x |
| 3.4% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 10 to 7 computations (30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.845887151162556 |
| 0.0ms | -13.561538746377625 | -0.011281906564802657 |
Compiled 12 to 10 computations (16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.06897974052952077 | 16123695.547991252 |
| 10.0ms | -9.928016790834514 | -0.12992823184284252 |
| 14.0ms | 256× | 0 | valid |
Compiled 236 to 218 computations (7.6% saved)
ival-div: 4.0ms (60.6% of total)ival-sub: 1.0ms (15.1% of total)ival-add: 1.0ms (15.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.06897974052952077 | 16123695.547991252 |
| 1.0ms | -9.928016790834514 | -0.12992823184284252 |
| 4.0ms | 96× | 0 | valid |
Compiled 204 to 202 computations (1% saved)
ival-div: 1.0ms (41.4% of total)ival-add: 1.0ms (41.4% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 239 |
| 1 | 68 | 239 |
| 2 | 82 | 239 |
| 3 | 91 | 239 |
| 4 | 92 | 239 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -10 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (if (<=.f64 x #s(literal 3/4 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -10 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (if (<=.f64 x #s(literal 3/4 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 20 |
| 0 | 10 | 20 |
| 1 | 59 | 20 |
| 2 | 551 | 20 |
| 3 | 6022 | 20 |
| 0 | 9428 | 18 |
| 0 | 53 | 305 |
| 1 | 150 | 286 |
| 2 | 351 | 274 |
| 3 | 1021 | 268 |
| 4 | 3180 | 263 |
| 5 | 5260 | 262 |
| 6 | 6620 | 262 |
| 7 | 7436 | 262 |
| 8 | 7938 | 262 |
| 0 | 8035 | 260 |
| 0 | 25 | 140 |
| 0 | 41 | 117 |
| 1 | 226 | 106 |
| 2 | 1745 | 106 |
| 0 | 9668 | 102 |
| 0 | 84 | 1398 |
| 1 | 253 | 1286 |
| 2 | 726 | 1204 |
| 3 | 2782 | 1180 |
| 4 | 6876 | 1180 |
| 0 | 8114 | 1155 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 274 to 138 computations (49.6% saved)
Compiled 276 to 110 computations (60.1% saved)
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