
Time bar (total: 8.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 12 to 12 computations (0% saved)
| 527.0ms | 1 542× | 2 | valid |
| 369.0ms | 2 470× | 1 | valid |
| 243.0ms | 4 244× | 0 | valid |
ival-exp: 397.0ms (44.1% of total)ival-div: 127.0ms (14.1% of total)ival-sub: 104.0ms (11.5% of total)adjust: 103.0ms (11.4% of total)ival-mult: 81.0ms (9% of total)ival-add: 70.0ms (7.8% of total)exact: 10.0ms (1.1% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 135 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 0 | 1 | (-104.57963121925125 -5.211802280668361e+161) | 0 | - | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal -2 binary64) x) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 0 | 0 | - | 0 | - | #s(literal -2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) | cancellation | 135 | 0 |
exp.f64 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 135 | 0 |
| - | 1 | 120 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 135 | 0 | 0 |
| - | 1 | 0 | 120 |
| number | freq |
|---|---|
| 0 | 120 |
| 1 | 136 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 52.0ms | 172× | 1 | valid |
| 27.0ms | 92× | 2 | valid |
| 19.0ms | 248× | 0 | valid |
Compiled 119 to 44 computations (63% saved)
ival-exp: 22.0ms (46.2% of total)adjust: 6.0ms (12.6% of total)ival-div: 6.0ms (12.6% of total)ival-add: 4.0ms (8.4% of total)ival-mult: 4.0ms (8.4% of total)ival-sub: 4.0ms (8.4% of total)exact: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 54 |
| 1 | 47 | 52 |
| 2 | 89 | 50 |
| 3 | 134 | 50 |
| 4 | 168 | 50 |
| 5 | 219 | 50 |
| 6 | 271 | 50 |
| 7 | 313 | 50 |
| 8 | 365 | 50 |
| 9 | 432 | 50 |
| 10 | 469 | 50 |
| 11 | 486 | 50 |
| 12 | 501 | 50 |
| 13 | 514 | 50 |
| 14 | 522 | 50 |
| 15 | 526 | 50 |
| 0 | 9 | 10 |
| 0 | 14 | 10 |
| 1 | 23 | 10 |
| 2 | 26 | 10 |
| 0 | 26 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(abs y)
Compiled 10 to 10 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.3% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
Compiled 10 to 10 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 14 | 35 |
| 1 | 23 | 35 |
| 2 | 26 | 35 |
| 0 | 26 | 35 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0.0078125 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) | |
| accuracy | 0.015625 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) | |
| accuracy | 31.1044641332217 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 15.0ms | 86× | 1 | valid |
| 13.0ms | 46× | 2 | valid |
| 9.0ms | 124× | 0 | valid |
Compiled 72 to 22 computations (69.4% saved)
ival-exp: 11.0ms (43% of total)adjust: 5.0ms (19.5% of total)ival-div: 3.0ms (11.7% of total)ival-add: 2.0ms (7.8% of total)ival-mult: 2.0ms (7.8% of total)ival-sub: 2.0ms (7.8% 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 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -2 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (*.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 x)) (taylor 0 x) (#s(alt (exp.f64 (*.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) (taylor 0 x) (#s(alt (exp.f64 (*.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -2 x)) (taylor inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -2 x)) (taylor inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -2 x)) (taylor inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -2 x)) (taylor inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (patch (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -2 x)) (taylor -inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -2 x)) (taylor -inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -2 x)) (taylor -inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -2 x)) (taylor -inf x) (#s(alt (exp.f64 (*.f64 #s(literal -2 binary64) x)) (patch (exp.f64 (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x))) |
| 2.0ms | x | @ | -inf | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x))) |
| 1.0ms | x | @ | 0 | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (* -2 x) (exp (* -2 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 394 |
| 1 | 119 | 394 |
| 2 | 234 | 384 |
| 3 | 604 | 384 |
| 4 | 1200 | 384 |
| 5 | 1777 | 384 |
| 6 | 2034 | 384 |
| 7 | 2609 | 384 |
| 8 | 3678 | 384 |
| 9 | 5741 | 384 |
| 10 | 6674 | 384 |
| 11 | 7080 | 384 |
| 12 | 7222 | 384 |
| 13 | 7282 | 384 |
| 14 | 7322 | 384 |
| 0 | 8037 | 363 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(exp (* -2 x)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp (* -2 x)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp (* -2 x)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp (* -2 x)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(exp (* -2 x)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp (* -2 x)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp (* -2 x)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp (* -2 x)) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 0 | 14 | 31 |
| 1 | 53 | 31 |
| 2 | 371 | 31 |
| 3 | 5969 | 31 |
| 0 | 8136 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(*.f64 #s(literal -2 binary64) x) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
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Compiled 8 229 to 1 118 computations (86.4% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 355 | 9 | 364 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 355 | 10 | 365 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.3% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| ▶ | 23.4% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 23.1% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 22.4% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ▶ | 4.5% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
| 6.6% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| ▶ | 4.3% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 51.4% | (expm1.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| ▶ | 53.7% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) |
| 53.1% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
Compiled 184 to 174 computations (5.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) | |
| cost-diff | 0 | (pow.f64 x #s(literal 5 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 257 |
| 0 | 56 | 257 |
| 1 | 89 | 257 |
| 2 | 130 | 257 |
| 3 | 197 | 257 |
| 4 | 291 | 257 |
| 5 | 334 | 257 |
| 6 | 336 | 257 |
| 7 | 410 | 257 |
| 8 | 418 | 257 |
| 9 | 423 | 257 |
| 10 | 427 | 257 |
| 11 | 460 | 257 |
| 12 | 460 | 257 |
| 0 | 460 | 257 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(pow.f64 x #s(literal 5 binary64)) |
x |
#s(literal 5 binary64) |
#s(literal 2/15 binary64) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -1/3 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
#s(literal -4/3 binary64) |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/3 binary64) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(fma.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)) |
(pow.f64 x #s(literal 5 binary64)) |
x |
#s(literal 5 binary64) |
#s(literal 2/15 binary64) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -1/3 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
#s(literal -4/3 binary64) |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -1/3 binary64) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.10384750976844202 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 29.837913389118416 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 31.1044641332217 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) | |
| accuracy | 0.05078125 | (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) | |
| accuracy | 0.178066259768442 | (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) | |
| accuracy | 22.87028693649672 | #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) | |
| accuracy | 31.1044641332217 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) | |
| accuracy | 0.015625 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) | |
| accuracy | 29.71950159612346 | #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) | |
| accuracy | 31.1044641332217 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 27.06971263706456 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) | |
| accuracy | 31.1044641332217 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.10672628162065376 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) | |
| accuracy | 15.831973453245775 | (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) | |
| accuracy | 29.065524634269547 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) |
| 41.0ms | 86× | 1 | valid |
| 38.0ms | 124× | 0 | valid |
| 31.0ms | 46× | 2 | valid |
Compiled 367 to 63 computations (82.8% saved)
ival-add: 21.0ms (24.8% of total)adjust: 14.0ms (16.6% of total)ival-exp: 14.0ms (16.6% of total)ival-mult: 13.0ms (15.4% of total)const: 9.0ms (10.6% of total)ival-pow: 8.0ms (9.5% of total)ival-div: 3.0ms (3.5% of total)ival-sub: 2.0ms (2.4% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) (patch (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) (taylor 0 x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) (taylor 0 x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (patch #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 4/3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 4/3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 4/3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 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 (* 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 (* 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 | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (pow x 5) (+ (* (pow x 3) -1/3) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (+ (* -4/3 x) 2) (+ 1 x)) |
| 3.0ms | x | @ | -inf | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (pow x 5) (+ (* (pow x 3) -1/3) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (+ (* -4/3 x) 2) (+ 1 x)) |
| 2.0ms | x | @ | 0 | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (pow x 5) (+ (* (pow x 3) -1/3) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (pow x 3) -1/3) (+ 1 x)) (pow x 3) (+ (* -4/3 x) 2) (+ 1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 1830 |
| 1 | 331 | 1736 |
| 2 | 1031 | 1736 |
| 3 | 3598 | 1728 |
| 0 | 8337 | 1620 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* -2 x)) |
(+ 2 (* -2 x)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
2 |
(+ 2 (* -4/3 x)) |
(+ 2 (* -4/3 x)) |
(+ 2 (* -4/3 x)) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -2 x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -4/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3)) |
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -4/3 x) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -2 x) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -4/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -4/3 x) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) x)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -4/3 x)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(+ 2 (* -4/3 x)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(+ 2 (* -4/3 x)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
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) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(* 2/15 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -2/15 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(* -4/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4/3 binary64)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3)) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) |
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(* -1/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
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) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(* 2/15 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -2/15 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(* -4/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4/3 binary64)) |
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(* -1/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 228 |
| 0 | 56 | 228 |
| 1 | 270 | 228 |
| 2 | 2157 | 228 |
| 0 | 8298 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(pow.f64 x #s(literal 5 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal 3 binary64)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
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Compiled 12 869 to 1 745 computations (86.4% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 659 | 8 | 667 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 662 | 15 | 677 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.3% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| ✓ | 23.4% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 23.1% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| ✓ | 22.4% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 20.2% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) | |
| ▶ | 22.6% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) |
| ▶ | 20.5% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
| 19.6% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) | |
| ▶ | 4.5% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
| ▶ | 6.6% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
| ✓ | 4.3% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 51.4% | (expm1.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| ▶ | 54.6% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) |
| 53.1% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) | |
| 4.9% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)))) |
Compiled 296 to 266 computations (10.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) | |
| cost-diff | 832 | (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) | |
| cost-diff | 832 | (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 490 |
| 0 | 75 | 482 |
| 1 | 130 | 482 |
| 2 | 236 | 482 |
| 3 | 510 | 482 |
| 4 | 1117 | 482 |
| 5 | 2116 | 460 |
| 6 | 4826 | 460 |
| 7 | 7414 | 460 |
| 0 | 8189 | 433 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
#s(literal 2/15 binary64) |
(*.f64 x x) |
#s(literal -1/3 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal -1/3 binary64) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))) |
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
#s(literal -4/3 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x))) |
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) |
(fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) |
#s(literal -4/3 binary64) |
x |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
#s(literal 2/15 binary64) |
(*.f64 x x) |
#s(literal -1/3 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/3 binary64) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))) |
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
#s(literal -4/3 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x))) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)) |
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) |
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))) |
(fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) |
#s(literal -4/3 binary64) |
x |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.17578125 | (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) | |
| accuracy | 14.55312247879725 | (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) | |
| accuracy | 22.87028693649672 | #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x))) | |
| accuracy | 31.1044641332217 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) | |
| accuracy | 0.178066259768442 | (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) | |
| accuracy | 22.87028693649672 | #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))) | |
| accuracy | 31.1044641332217 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) | |
| accuracy | 32.94538551213655 | #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)) | |
| accuracy | 0.09375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.10384750976844202 | (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 29.837913389118416 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 31.1044641332217 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 29.062881578502655 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 31.1044641332217 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.05859375 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) | |
| accuracy | 0.08203125 | (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) | |
| accuracy | 29.065524634269547 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) |
| 67.0ms | 86× | 1 | valid |
| 50.0ms | 46× | 2 | valid |
| 39.0ms | 124× | 0 | valid |
Compiled 596 to 78 computations (86.9% saved)
ival-add: 32.0ms (26.3% of total)ival-mult: 21.0ms (17.2% of total)ival-sub: 16.0ms (13.1% of total)adjust: 14.0ms (11.5% of total)ival-exp: 12.0ms (9.9% of total)ival-div: 11.0ms (9% of total)const: 11.0ms (9% of total)ival-pow: 4.0ms (3.3% 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 #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 2 (+ 1 (exp (* -2 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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)) (patch #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) (patch (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (patch (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 4/3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 4/3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 4/3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (patch (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 4/3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (patch (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (patch (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (patch (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* 2/15 (* x x)) -1/3)) x) (pow x 3) (+ (* 2/15 (* x x)) -1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (* (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) x) (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (* (* x x) x) (+ (* -4/3 x) 2) (+ 1 (exp (* -2 x))) (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x)))) |
| 3.0ms | x | @ | inf | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* 2/15 (* x x)) -1/3)) x) (pow x 3) (+ (* 2/15 (* x x)) -1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (* (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) x) (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (* (* x x) x) (+ (* -4/3 x) 2) (+ 1 (exp (* -2 x))) (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x)))) |
| 2.0ms | x | @ | -inf | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (* (pow x 3) (+ (* 2/15 (* x x)) -1/3)) x) (pow x 3) (+ (* 2/15 (* x x)) -1/3) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ (* (* (* x x) x) -1/3) (+ 1 x)) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (* (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) x) (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (* (* x x) x) (+ (* -4/3 x) 2) (+ 1 (exp (* -2 x))) (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 2152 |
| 1 | 392 | 2060 |
| 2 | 1264 | 2036 |
| 3 | 4431 | 2023 |
| 4 | 7655 | 2022 |
| 0 | 8557 | 1887 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(/ 2 x) |
(/ (+ 2 (* -2 x)) x) |
(/ (+ 2 (* x (- (* 2 x) 2))) x) |
(/ (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) x) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
2 |
(+ 2 (* -4/3 x)) |
(+ 2 (* -4/3 x)) |
(+ 2 (* -4/3 x)) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* -2 x)) (pow x 2)) |
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 2)) |
(/ (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) (pow x 2)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3)) |
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -4/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2))))) |
(* -4/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2))))) |
(* -4/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) |
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -4/3 x) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -4/3 x) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(* x (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(* x (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -4/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(* -4/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(* -4/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) |
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3)) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 4/3)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -4/3 x) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -4/3 x) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* x (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 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) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* -2 x)) x) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(/ (+ 2 (* x (- (* 2 x) 2))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x) |
(/ (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -4/3 x)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(+ 2 (* -4/3 x)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(+ 2 (* -4/3 x)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (+ 2 (* -2 x)) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) |
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 2)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) |
(/ (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (*.f64 x x)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(* 2/15 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
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(*.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) x) x (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (neg.f64 x)) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(* -4/3 (pow x 3)) |
(*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) x) x (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (neg.f64 x)) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(* -4/3 (pow x 2)) |
(*.f64 #s(literal -4/3 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3)) |
(neg.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) x) x (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 4/3)) |
(fma.f64 (*.f64 #s(literal -4/3 binary64) x) x (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(* -1 (* x (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(fma.f64 #s(literal -4/3 binary64) x (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))) |
(* -1 (* x (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(-.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 400 |
| 0 | 75 | 392 |
| 1 | 339 | 392 |
| 2 | 2769 | 392 |
| 0 | 9140 | 378 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 x x) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x))) |
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) |
(*.f64 (*.f64 x x) x) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x))) |
(fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) |
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Compiled 15 034 to 2 252 computations (85% saved)
19 alts after pruning (12 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 704 | 8 | 712 |
| Fresh | 2 | 4 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 708 | 19 | 727 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.3% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| ✓ | 23.4% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 23.1% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| ✓ | 22.4% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ▶ | 20.2% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
| ✓ | 20.5% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
| 3.7% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)))) #s(literal 1 binary64)) | |
| ▶ | 20.0% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) |
| 20.4% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) | |
| 4.6% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 #s(approx (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) (/.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) | |
| ▶ | 19.6% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| ✓ | 4.5% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
| ▶ | 6.4% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
| 6.4% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64)) | |
| ✓ | 6.6% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
| 6.4% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)) | |
| ✓ | 4.3% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 51.4% | (expm1.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| ▶ | 54.6% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
Compiled 383 to 330 computations (13.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (-.f64 (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 1088 | (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 548 |
| 0 | 78 | 541 |
| 1 | 129 | 541 |
| 2 | 216 | 527 |
| 3 | 459 | 521 |
| 4 | 927 | 521 |
| 5 | 1867 | 521 |
| 6 | 4675 | 521 |
| 0 | 8351 | 506 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x))) |
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x) |
(*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) |
#s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) |
(*.f64 #s(literal -4/3 binary64) x) |
#s(literal -4/3 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
#s(literal -4/3 binary64) |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(*.f64 x x) |
x |
#s(literal 2/15 binary64) |
#s(literal -1/3 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) (*.f64 x x))))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) (*.f64 x x))))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x))) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) (*.f64 x x)))) |
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)) |
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) (*.f64 x x))) |
(*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x) |
(*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) (*.f64 x x)) |
(*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) |
#s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) |
(*.f64 #s(literal -4/3 binary64) x) |
#s(literal -4/3 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) |
#s(literal 2 binary64) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x) |
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
#s(literal -4/3 binary64) |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.178066259768442 | (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) | |
| accuracy | 22.87028693649672 | #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))) | |
| accuracy | 31.1044641332217 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) | |
| accuracy | 32.84987885975711 | #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)) | |
| accuracy | 14.55312247879725 | (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) | |
| accuracy | 22.87028693649672 | #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x))) | |
| accuracy | 31.1044641332217 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) | |
| accuracy | 34.30823858841091 | #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 12.823408049156743 | (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 29.062881578502655 | #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 31.1044641332217 | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) | |
| accuracy | 29.71950159612346 | #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))) | |
| accuracy | 31.1044641332217 | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) | |
| accuracy | 33.75525193640805 | #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0.02734375 | (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) | |
| accuracy | 0.1484375 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) | |
| accuracy | 29.065524634269547 | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
| 44.0ms | 86× | 1 | valid |
| 40.0ms | 46× | 2 | valid |
| 36.0ms | 124× | 0 | valid |
Compiled 552 to 76 computations (86.2% saved)
ival-mult: 18.0ms (21.5% of total)adjust: 13.0ms (15.5% of total)ival-exp: 12.0ms (14.3% of total)ival-add: 12.0ms (14.3% of total)const: 11.0ms (13.1% of total)ival-div: 9.0ms (10.8% of total)ival-sub: 7.0ms (8.4% 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 #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<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 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)) (patch #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)) (patch #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) (patch #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) (patch (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (patch #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt -1/3 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2/15 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2/15 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2/15 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #<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 x (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) (taylor 0 x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -2 x)) (taylor 0 x) (#s(alt #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (+ 1 (exp (* -2 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) (patch (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp (* -2 x))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))) (patch #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)) (patch #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)) (patch #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)) (patch #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)) (patch #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2/15 (pow x 5)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 x) (taylor -inf x) (#s(alt #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) (patch #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 4/3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) (patch #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) (patch #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) (patch #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) (patch (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) (patch (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3)) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) (patch (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 4/3)) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) (patch (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 4/3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 4/3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 4/3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) (patch (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (+ (* (* x x) 2/15) -1/3) (* x x)) (+ (* (* x x) 2/15) -1/3) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (+ (* (* (+ (* (* x x) 2/15) -1/3) (* x x)) x) x) (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) (+ (* -4/3 x) 2)) |
| 2.0ms | x | @ | -inf | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (+ (* (* x x) 2/15) -1/3) (* x x)) (+ (* (* x x) 2/15) -1/3) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (+ (* (* (+ (* (* x x) 2/15) -1/3) (* x x)) x) x) (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) (+ (* -4/3 x) 2)) |
| 1.0ms | x | @ | 0 | ((- (/ 2 (+ 1 (exp (* -2 x)))) 1) (* (+ (* (* x x) 2/15) -1/3) (* x x)) (+ (* (* x x) 2/15) -1/3) (* x x) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* -2 x) 2) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (/ 2 (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))) (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (+ (* (* (+ (* (* x x) 2/15) -1/3) (* x x)) x) x) (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) (+ (* -4/3 x) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 2276 |
| 1 | 368 | 2200 |
| 2 | 1109 | 2164 |
| 3 | 3740 | 2148 |
| 4 | 6518 | 2148 |
| 0 | 8186 | 1985 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
-1/3 |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(- (* 2/15 (pow x 2)) 1/3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* -2 x)) |
(+ 2 (* -2 x)) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* -2 x)) (pow x 2)) |
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 2)) |
(/ (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) (pow x 2)) |
(/ 2 x) |
(/ (+ 2 (* -2 x)) x) |
(/ (+ 2 (* x (- (* 2 x) 2))) x) |
(/ (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) x) |
2 |
(+ 2 (* -4/3 x)) |
(+ 2 (* -4/3 x)) |
(+ 2 (* -4/3 x)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -2 x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* x (- (* 2 (/ 1 x)) 2)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 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)))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -4/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -4/3 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3)) |
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* -4/3 x) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(* x (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(* x (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2))))) |
(* -4/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) |
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2))))) |
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2))))) |
(* -4/3 x) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(* x (- (* 2 (/ 1 x)) 4/3)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -2 x) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 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)))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -4/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(* -4/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -4/3 x) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* x (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(* -1 (* x (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(* -4/3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) |
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3)) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 4/3)) |
(* -4/3 x) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* -1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 (*.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 (*.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 (*.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x) |
-1/3 |
#s(literal -1/3 binary64) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(- (* 2/15 (pow x 2)) 1/3) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
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 |
#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)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) x)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (+ 2 (* -2 x)) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) |
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 2)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) |
(/ (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* -2 x)) x) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(/ (+ 2 (* x (- (* 2 x) 2))) x) |
(fma.f64 #s(literal 2 binary64) x (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) |
(/ (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -4/3 x)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(+ 2 (* -4/3 x)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(+ 2 (* -4/3 x)) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(* 2/15 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/15 binary64)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 2/15 (pow x 2)) |
(*.f64 #s(literal 2/15 binary64) (*.f64 x x)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) |
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
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(/ 2 (+ 1 (exp (* -2 x)))) |
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(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(* -4/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4/3 binary64)) |
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(* -4/3 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4/3 binary64)) |
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x) |
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(* 2/15 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -2/15 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -2/15 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(* -1 (* x (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))) |
(fma.f64 #s(literal -4/3 binary64) x (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))) |
(* -1 (* x (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))))) |
(fma.f64 #s(literal -4/3 binary64) x (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64))) |
(* -4/3 (pow x 2)) |
(*.f64 #s(literal -4/3 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3)) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) |
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3)) |
(fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 4/3)) |
(neg.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal -2 binary64)) x (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)))) |
(* -4/3 x) |
(*.f64 #s(literal -4/3 binary64) x) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
(* -1 (* x (- 4/3 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 481 |
| 0 | 78 | 475 |
| 1 | 353 | 455 |
| 2 | 2900 | 455 |
| 0 | 9666 | 440 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) |
(*.f64 x x) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x))) |
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) |
#s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x) |
#s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) |
(*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) |
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) |
| Outputs |
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Compiled 10 517 to 1 474 computations (86% saved)
23 alts after pruning (14 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 633 | 8 | 641 |
| Fresh | 1 | 6 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 6 | 7 |
| Total | 637 | 23 | 660 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.3% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| ✓ | 23.4% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 23.1% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| ✓ | 20.2% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
| 20.1% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) | |
| ✓ | 20.5% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
| 3.7% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)))) #s(literal 1 binary64)) | |
| ✓ | 20.0% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) |
| 20.4% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) | |
| 4.6% | (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 #s(approx (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) (/.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) | |
| ✓ | 4.5% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
| 6.3% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| 6.4% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| 4.7% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| 22.4% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| 6.6% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)) | |
| 6.4% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64)) | |
| ✓ | 6.6% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
| 6.4% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) | |
| ✓ | 4.3% | (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 51.4% | (expm1.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| ✓ | 54.6% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
| 53.1% | #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
Compiled 699 to 418 computations (40.2% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 #s(approx (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) (/.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)))) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) |
(expm1.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) |
| Outputs |
|---|
(expm1.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
7 calls:
| 36.0ms | x |
| 15.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 11.0ms | (*.f64 #s(literal -2 binary64) x) |
| 10.0ms | y |
| 9.0ms | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
| 57.8% | 2 | y |
| 100.0% | 3 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 100.0% | 3 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 100.0% | 3 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 100.0% | 3 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 100.0% | 3 | (*.f64 #s(literal -2 binary64) x) |
Compiled 33 to 39 computations (-18.2% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 #s(approx (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) (/.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)))) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
6 calls:
| 25.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 10.0ms | (*.f64 #s(literal -2 binary64) x) |
| 10.0ms | x |
| 8.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 8.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
| 100.0% | 3 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 100.0% | 3 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 100.0% | 3 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 100.0% | 3 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 100.0% | 3 | (*.f64 #s(literal -2 binary64) x) |
Compiled 32 to 37 computations (-15.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 #s(approx (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) (/.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) x) x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) #s(approx (+ (* (pow x 5) 2/15) (+ (* (pow x 3) -1/3) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)))) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
6 calls:
| 14.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 11.0ms | (*.f64 #s(literal -2 binary64) x) |
| 9.0ms | x |
| 8.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 8.0ms | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 2 | x |
| 72.8% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 72.8% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 72.8% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 72.8% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 72.8% | 2 | (*.f64 #s(literal -2 binary64) x) |
Compiled 32 to 37 computations (-15.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 #s(approx (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) (/.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
6 calls:
| 24.0ms | (*.f64 #s(literal -2 binary64) x) |
| 6.0ms | x |
| 5.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 5.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 5.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 72.8% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 72.8% | 2 | x |
| 72.8% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 72.8% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 72.8% | 2 | (*.f64 #s(literal -2 binary64) x) |
Compiled 32 to 37 computations (-15.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 #s(approx (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) (/.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
6 calls:
| 51.0ms | (*.f64 #s(literal -2 binary64) x) |
| 6.0ms | x |
| 5.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 5.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 5.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 72.8% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 72.8% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 72.8% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 72.8% | 2 | (*.f64 #s(literal -2 binary64) x) |
| 72.8% | 2 | x |
Compiled 32 to 37 computations (-15.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 #s(approx (* (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) x) (/.f64 #s(literal 2 binary64) x)) x)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
6 calls:
| 51.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 5.0ms | (*.f64 #s(literal -2 binary64) x) |
| 5.0ms | x |
| 4.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 4.0ms | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 72.8% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 72.8% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 72.8% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 72.8% | 2 | (*.f64 #s(literal -2 binary64) x) |
| 72.8% | 2 | x |
Compiled 32 to 37 computations (-15.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
6 calls:
| 44.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 5.0ms | (*.f64 #s(literal -2 binary64) x) |
| 5.0ms | x |
| 4.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 4.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.7% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 72.7% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 72.7% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 72.7% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 72.7% | 2 | (*.f64 #s(literal -2 binary64) x) |
| 72.7% | 2 | x |
Compiled 32 to 37 computations (-15.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
6 calls:
| 5.0ms | (*.f64 #s(literal -2 binary64) x) |
| 4.0ms | x |
| 4.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 4.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 4.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.7% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 71.7% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 71.7% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 71.7% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 71.7% | 2 | x |
| 71.7% | 2 | (*.f64 #s(literal -2 binary64) x) |
Compiled 32 to 37 computations (-15.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) |
6 calls:
| 41.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 4.0ms | (*.f64 #s(literal -2 binary64) x) |
| 4.0ms | x |
| 3.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 3.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.7% | 2 | (*.f64 #s(literal -2 binary64) x) |
| 71.7% | 2 | x |
| 71.7% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 71.7% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 71.7% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 71.7% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
Compiled 32 to 37 computations (-15.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) |
6 calls:
| 115.0ms | (*.f64 #s(literal -2 binary64) x) |
| 4.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 3.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 3.0ms | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.7% | 2 | (*.f64 #s(literal -2 binary64) x) |
| 71.7% | 2 | x |
| 71.7% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 71.7% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 71.7% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 71.7% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
Compiled 32 to 37 computations (-15.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* -2 x) 2) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
6 calls:
| 3.0ms | (*.f64 #s(literal -2 binary64) x) |
| 3.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 3.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 3.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 2 | (*.f64 #s(literal -2 binary64) x) |
| 71.3% | 2 | x |
| 71.3% | 2 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 71.3% | 2 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 71.3% | 2 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 71.3% | 2 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
Compiled 32 to 37 computations (-15.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
| Outputs |
|---|
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
7 calls:
| 2.0ms | y |
| 2.0ms | (*.f64 #s(literal -2 binary64) x) |
| 2.0ms | x |
| 2.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 2.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.1% | 1 | y |
| 53.1% | 1 | (*.f64 #s(literal -2 binary64) x) |
| 53.1% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 53.1% | 1 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 53.1% | 1 | x |
| 53.1% | 1 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 53.1% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
Compiled 33 to 39 computations (-18.2% saved)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
7 calls:
| 79.0ms | y |
| 2.0ms | (*.f64 #s(literal -2 binary64) x) |
| 2.0ms | x |
| 1.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 1.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.6% | 1 | x |
| 6.6% | 1 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 6.6% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 6.6% | 1 | y |
| 6.6% | 1 | (*.f64 #s(literal -2 binary64) x) |
| 6.6% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 6.6% | 1 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
Compiled 33 to 39 computations (-18.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
7 calls:
| 1.0ms | (*.f64 #s(literal -2 binary64) x) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 1.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.3% | 1 | (*.f64 #s(literal -2 binary64) x) |
| 4.3% | 1 | x |
| 4.3% | 1 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 4.3% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 4.3% | 1 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 4.3% | 1 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 4.3% | 1 | y |
Compiled 33 to 39 computations (-18.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00027277326574478954 | 209.1592624385025 |
| 0.0ms | -3.6873607969383606 | -0.0040342102083837745 |
Compiled 13 to 15 computations (-15.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00027277326574478954 | 209.1592624385025 |
| 0.0ms | -3.6873607969383606 | -0.0040342102083837745 |
Compiled 13 to 15 computations (-15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00027277326574478954 | 209.1592624385025 |
Compiled 13 to 15 computations (-15.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | -104.57963121925125 | -0.00013638663287239477 |
| 8.0ms | 144× | 0 | valid |
Compiled 274 to 231 computations (15.7% saved)
ival-div: 1.0ms (19.9% of total)ival-sub: 1.0ms (19.9% of total)ival-exp: 1.0ms (19.9% of total)ival-add: 1.0ms (19.9% of total)ival-mult: 1.0ms (19.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | -104.57963121925125 | -0.00013638663287239477 |
| 3.0ms | 48× | 0 | valid |
Compiled 265 to 222 computations (16.2% saved)
ival-exp: 1.0ms (61% of total)ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 84.0ms | -104.57963121925125 | -0.00013638663287239477 |
| 5.0ms | 80× | 0 | valid |
Compiled 265 to 231 computations (12.8% saved)
ival-div: 1.0ms (34.7% of total)ival-exp: 1.0ms (34.7% of total)ival-mult: 1.0ms (34.7% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -104.57963121925125 | -0.00013638663287239477 |
Compiled 247 to 204 computations (17.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | -104.57963121925125 | -0.00013638663287239477 |
| 2.0ms | 32× | 0 | valid |
Compiled 211 to 195 computations (7.6% saved)
ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0002728104717549 | 6.866153621622451e+90 |
Compiled 13 to 15 computations (-15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0002728104717549 | 6.866153621622451e+90 |
Compiled 13 to 15 computations (-15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.912838992855808e-91 | 0.9998636133679732 |
Compiled 13 to 16 computations (-23.1% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 710 |
| 1 | 160 | 709 |
| 2 | 178 | 709 |
| 3 | 193 | 708 |
| 4 | 210 | 708 |
| 5 | 233 | 708 |
| 6 | 247 | 708 |
| 7 | 260 | 708 |
| 8 | 275 | 708 |
| 9 | 278 | 708 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (expm1.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal -5224175567749775/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))) |
(if (<=.f64 x #s(literal -5944751508129055/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))) |
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))) |
(if (<=.f64 x #s(literal -5224175567749775/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))) |
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))) |
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))) |
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 4586997231980143/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (expm1.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (if (<=.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal -5224175567749775/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))) |
(if (<=.f64 x #s(literal -5944751508129055/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))) |
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) (- 2 (/ (- 2 (/ 2 x)) x))) (*.f64 #s(literal -4/3 binary64) x)) x) x)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))) |
(if (<=.f64 x #s(literal -5224175567749775/4503599627370496 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x))) |
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))) |
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))) |
(if (<=.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (fma.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x #s(literal -2 binary64)) x)))) #s(literal 1 binary64))) |
(if (<=.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))) |
(if (<=.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) (-.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ 1 (exp (* -2 x))) #s(approx (+ (* (+ (* (+ (* -4/3 x) 2) x) -2) x) 2) (*.f64 (*.f64 #s(approx (+ (* -4/3 x) 2) #s(literal 2 binary64)) x) x)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 4586997231980143/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))) |
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 4586997231980143/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x))) |
#s(approx (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 2/15) -1/3) #s(literal -1/3 binary64)) (*.f64 x x)) x x)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (/ 2 (+ 1 (exp (* -2 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 1830 |
| 1 | 331 | 1736 |
| 2 | 1031 | 1736 |
| 3 | 3598 | 1728 |
| 0 | 8337 | 1620 |
| 0 | 49 | 394 |
| 1 | 119 | 394 |
| 2 | 234 | 384 |
| 3 | 604 | 384 |
| 4 | 1200 | 384 |
| 5 | 1777 | 384 |
| 6 | 2034 | 384 |
| 7 | 2609 | 384 |
| 8 | 3678 | 384 |
| 9 | 5741 | 384 |
| 10 | 6674 | 384 |
| 11 | 7080 | 384 |
| 12 | 7222 | 384 |
| 13 | 7282 | 384 |
| 14 | 7322 | 384 |
| 0 | 8037 | 363 |
| 0 | 145 | 2152 |
| 1 | 392 | 2060 |
| 2 | 1264 | 2036 |
| 3 | 4431 | 2023 |
| 4 | 7655 | 2022 |
| 0 | 8557 | 1887 |
| 0 | 9 | 31 |
| 0 | 14 | 31 |
| 1 | 53 | 31 |
| 2 | 371 | 31 |
| 3 | 5969 | 31 |
| 0 | 8136 | 31 |
| 0 | 139 | 2276 |
| 1 | 368 | 2200 |
| 2 | 1109 | 2164 |
| 3 | 3740 | 2148 |
| 4 | 6518 | 2148 |
| 0 | 8186 | 1985 |
| 0 | 49 | 400 |
| 0 | 75 | 392 |
| 1 | 339 | 392 |
| 2 | 2769 | 392 |
| 0 | 9140 | 378 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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 |
| 1× | node limit |
Compiled 886 to 551 computations (37.8% saved)
(abs y)
Compiled 886 to 290 computations (67.3% saved)
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